From d550adc90941659a76127fe1723699ce52cb251c Mon Sep 17 00:00:00 2001
From: coqbot <coqbot@users.noreply.github.com>
Date: Mon, 24 Feb 2025 15:56:23 +0000
Subject: [PATCH] =?UTF-8?q?Documentation=20of=20branch=20=E2=80=9Cmaster?=
 =?UTF-8?q?=E2=80=9D=20at=20a7dca42e?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 master/corelib/Corelib.BinNums.IntDef.html    |  34 ++++++-------
 master/corelib/Corelib.BinNums.NatDef.html    |   8 +--
 master/corelib/Corelib.BinNums.PosDef.html    |  40 +++++++--------
 .../corelib/Corelib.Classes.CMorphisms.html   |   4 +-
 .../Corelib.Classes.CRelationClasses.html     |   6 +--
 .../corelib/Corelib.Classes.Equivalence.html  |   2 +-
 master/corelib/Corelib.Classes.Init.html      |   2 +-
 master/corelib/Corelib.Classes.Morphisms.html |   4 +-
 .../Corelib.Classes.Morphisms_Prop.html       |   2 +-
 .../Corelib.Classes.RelationClasses.html      |   6 +--
 .../Corelib.Classes.SetoidTactics.html        |   2 +-
 .../corelib/Corelib.Floats.FloatAxioms.html   |   2 +-
 master/corelib/Corelib.Floats.FloatOps.html   |   2 +-
 master/corelib/Corelib.Floats.PrimFloat.html  |  22 ++++-----
 master/corelib/Corelib.Floats.SpecFloat.html  |   8 +--
 master/corelib/Corelib.Init.Byte.html         |   2 +-
 master/corelib/Corelib.Init.Datatypes.html    |  14 +++---
 master/corelib/Corelib.Init.Decimal.html      |   2 +-
 master/corelib/Corelib.Init.Hexadecimal.html  |   2 +-
 master/corelib/Corelib.Init.Logic.html        |   8 +--
 master/corelib/Corelib.Init.Nat.html          |  28 +++++------
 master/corelib/Corelib.Init.Number.html       |   2 +-
 master/corelib/Corelib.Init.Tactics.html      |   4 +-
 master/corelib/Corelib.Init.Tauto.html        |   2 +-
 master/corelib/Corelib.Init.Wf.html           |   2 +-
 master/corelib/Corelib.Lists.ListDef.html     |  10 ++--
 .../Corelib.Strings.PrimStringAxioms.html     |   4 +-
 master/corelib/index_global_T.html            |   2 +-
 master/corelib/index_global_W.html            |   2 +-
 master/corelib/index_library_T.html           |   2 +-
 master/corelib/index_library_W.html           |   2 +-
 .../.doctrees/environment.pickle              | Bin 68955 -> 68955 bytes
 .../.doctrees/language/coq-library.doctree    | Bin 231140 -> 231140 bytes
 .../.doctrees/addendum/extraction.doctree     | Bin 355371 -> 355371 bytes
 .../addendum/generalized-rewriting.doctree    | Bin 866882 -> 866882 bytes
 .../addendum/implicit-coercions.doctree       | Bin 481483 -> 481483 bytes
 .../.doctrees/addendum/micromega.doctree      | Bin 398220 -> 398220 bytes
 .../addendum/miscellaneous-extensions.doctree | Bin 100914 -> 100914 bytes
 .../refman/.doctrees/addendum/program.doctree | Bin 247075 -> 247075 bytes
 .../.doctrees/addendum/rewrite-rules.doctree  | Bin 169832 -> 169832 bytes
 master/refman/.doctrees/addendum/ring.doctree | Bin 684756 -> 684756 bytes
 .../refman/.doctrees/addendum/sprop.doctree   | Bin 355727 -> 355727 bytes
 .../.doctrees/addendum/type-classes.doctree   | Bin 519689 -> 519689 bytes
 .../addendum/universe-polymorphism.doctree    | Bin 951343 -> 951343 bytes
 master/refman/.doctrees/changes.doctree       | Bin 4645479 -> 4645479 bytes
 master/refman/.doctrees/environment.pickle    | Bin 856151 -> 856151 bytes
 master/refman/.doctrees/language/cic.doctree  | Bin 143381 -> 143381 bytes
 .../.doctrees/language/coq-library.doctree    | Bin 930322 -> 930322 bytes
 .../language/core/assumptions.doctree         | Bin 187048 -> 187048 bytes
 .../.doctrees/language/core/basic.doctree     | Bin 368763 -> 368763 bytes
 .../language/core/coinductive.doctree         | Bin 195717 -> 195717 bytes
 .../language/core/conversion.doctree          | Bin 123537 -> 123537 bytes
 .../.doctrees/language/core/inductive.doctree | Bin 1245522 -> 1245522 bytes
 .../.doctrees/language/core/modules.doctree   | Bin 650160 -> 650160 bytes
 .../.doctrees/language/core/primitive.doctree | Bin 166504 -> 166504 bytes
 .../.doctrees/language/core/records.doctree   | Bin 432432 -> 432432 bytes
 .../.doctrees/language/core/sections.doctree  | Bin 171542 -> 171542 bytes
 .../.doctrees/language/core/variants.doctree  | Bin 344119 -> 344119 bytes
 .../extensions/arguments-command.doctree      | Bin 552388 -> 552388 bytes
 .../language/extensions/canonical.doctree     | Bin 881842 -> 881842 bytes
 .../language/extensions/evars.doctree         | Bin 205100 -> 205100 bytes
 .../extensions/implicit-arguments.doctree     | Bin 548969 -> 548969 bytes
 .../language/extensions/match.doctree         | Bin 977532 -> 977532 bytes
 .../practical-tools/coq-commands.doctree      | Bin 236413 -> 236413 bytes
 .../.doctrees/practical-tools/coqide.doctree  | Bin 200551 -> 200551 bytes
 .../.doctrees/proof-engine/ltac.doctree       | Bin 2090856 -> 2090856 bytes
 .../.doctrees/proof-engine/ltac2.doctree      | Bin 1287808 -> 1287808 bytes
 .../ssreflect-proof-language.doctree          | Bin 5550930 -> 5550930 bytes
 .../.doctrees/proof-engine/tactics.doctree    | Bin 1587240 -> 1587240 bytes
 .../proof-engine/vernacular-commands.doctree  | Bin 846588 -> 846588 bytes
 .../proofs/automatic-tactics/auto.doctree     | Bin 567995 -> 567995 bytes
 .../proofs/automatic-tactics/logic.doctree    | Bin 215606 -> 215606 bytes
 .../proofs/writing-proofs/equality.doctree    | Bin 890102 -> 890111 bytes
 .../proofs/writing-proofs/proof-mode.doctree  | Bin 703750 -> 703750 bytes
 .../reasoning-inductives.doctree              | Bin 1729018 -> 1729018 bytes
 .../user-extensions/syntax-extensions.doctree | Bin 2222760 -> 2222760 bytes
 .../.doctrees/using/libraries/funind.doctree  | Bin 425149 -> 425149 bytes
 .../.doctrees/using/libraries/writing.doctree | Bin 123480 -> 123480 bytes
 master/refman/proof-engine/ltac.html          |  46 +++++++++---------
 .../proofs/writing-proofs/equality.html       |   8 +--
 master/refman/searchindex.js                  |   2 +-
 81 files changed, 144 insertions(+), 144 deletions(-)

diff --git a/master/corelib/Corelib.BinNums.IntDef.html b/master/corelib/Corelib.BinNums.IntDef.html
index 2054205c03..8eff73e605 100644
--- a/master/corelib/Corelib.BinNums.IntDef.html
+++ b/master/corelib/Corelib.BinNums.IntDef.html
@@ -276,7 +276,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab25"></a><h1 class="section">Binary Integers, Definitions of Operations</h1>
+<a id="lab21"></a><h1 class="section">Binary Integers, Definitions of Operations</h1>
 
 <div class="paragraph"> </div>
 
@@ -291,7 +291,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab26"></a><h2 class="section">Doubling and variants</h2>
+<a id="lab22"></a><h2 class="section">Doubling and variants</h2>
 
 </div>
 <div class="code">
@@ -324,7 +324,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab27"></a><h2 class="section">Subtraction of positive into Z</h2>
+<a id="lab23"></a><h2 class="section">Subtraction of positive into Z</h2>
 
 </div>
 <div class="code">
@@ -347,7 +347,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab28"></a><h2 class="section">Addition</h2>
+<a id="lab24"></a><h2 class="section">Addition</h2>
 
 </div>
 <div class="code">
@@ -370,7 +370,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab29"></a><h2 class="section">Opposite</h2>
+<a id="lab25"></a><h2 class="section">Opposite</h2>
 
 </div>
 <div class="code">
@@ -390,7 +390,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab30"></a><h2 class="section">Subtraction</h2>
+<a id="lab26"></a><h2 class="section">Subtraction</h2>
 
 </div>
 <div class="code">
@@ -405,7 +405,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab31"></a><h2 class="section">Multiplication</h2>
+<a id="lab27"></a><h2 class="section">Multiplication</h2>
 
 </div>
 <div class="code">
@@ -428,7 +428,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab32"></a><h2 class="section">Power function</h2>
+<a id="lab28"></a><h2 class="section">Power function</h2>
 
 </div>
 <div class="code">
@@ -451,7 +451,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab33"></a><h2 class="section">Comparison</h2>
+<a id="lab29"></a><h2 class="section">Comparison</h2>
 
 </div>
 <div class="code">
@@ -520,7 +520,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab34"></a><h2 class="section">Minimum and maximum</h2>
+<a id="lab30"></a><h2 class="section">Minimum and maximum</h2>
 
 </div>
 <div class="code">
@@ -543,7 +543,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab35"></a><h2 class="section">Conversions</h2>
+<a id="lab31"></a><h2 class="section">Conversions</h2>
 
 <div class="paragraph"> </div>
 
@@ -607,11 +607,11 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab36"></a><h2 class="section">Euclidean divisions for binary integers</h2>
+<a id="lab32"></a><h2 class="section">Euclidean divisions for binary integers</h2>
 
 <div class="paragraph"> </div>
 
-<a id="lab37"></a><h2 class="section">Floor division</h2>
+<a id="lab33"></a><h2 class="section">Floor division</h2>
 
 <div class="paragraph"> </div>
 
@@ -702,7 +702,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab38"></a><h2 class="section">Trunc Division</h2>
+<a id="lab34"></a><h2 class="section">Trunc Division</h2>
 
 <div class="paragraph"> </div>
 
@@ -763,7 +763,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 No infix notation for rem, otherwise it becomes a keyword 
 <div class="paragraph"> </div>
 
-<a id="lab39"></a><h2 class="section">Parity functions</h2>
+<a id="lab35"></a><h2 class="section">Parity functions</h2>
 
 </div>
 <div class="code">
@@ -781,7 +781,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab40"></a><h2 class="section">Division by two</h2>
+<a id="lab36"></a><h2 class="section">Division by two</h2>
 
 <div class="paragraph"> </div>
 
@@ -804,7 +804,7 @@ <h1 class="libtitle">Library Corelib.BinNums.IntDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab41"></a><h2 class="section">Square root</h2>
+<a id="lab37"></a><h2 class="section">Square root</h2>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.BinNums.NatDef.html b/master/corelib/Corelib.BinNums.NatDef.html
index 232d2efc26..87811ec9ee 100644
--- a/master/corelib/Corelib.BinNums.NatDef.html
+++ b/master/corelib/Corelib.BinNums.NatDef.html
@@ -270,7 +270,7 @@ <h1 class="libtitle">Library Corelib.BinNums.NatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab1"></a><h1 class="section">Binary natural numbers, definitions of operations</h1>
+<a id="lab38"></a><h1 class="section">Binary natural numbers, definitions of operations</h1>
 
 </div>
 <div class="code">
@@ -282,7 +282,7 @@ <h1 class="libtitle">Library Corelib.BinNums.NatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab2"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>+1</span></h2>
+<a id="lab39"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>+1</span></h2>
 
 </div>
 <div class="code">
@@ -298,7 +298,7 @@ <h1 class="libtitle">Library Corelib.BinNums.NatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab3"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span></span></h2>
+<a id="lab40"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span></span></h2>
 
 </div>
 <div class="code">
@@ -314,7 +314,7 @@ <h1 class="libtitle">Library Corelib.BinNums.NatDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab4"></a><h2 class="section">The successor of a <span class="inlinecode"><span class="id" title="var">N</span></span> can be seen as a <span class="inlinecode"><span class="id" title="var">positive</span></span></h2>
+<a id="lab41"></a><h2 class="section">The successor of a <span class="inlinecode"><span class="id" title="var">N</span></span> can be seen as a <span class="inlinecode"><span class="id" title="var">positive</span></span></h2>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.BinNums.PosDef.html b/master/corelib/Corelib.BinNums.PosDef.html
index 07c2af74e0..23471499c2 100644
--- a/master/corelib/Corelib.BinNums.PosDef.html
+++ b/master/corelib/Corelib.BinNums.PosDef.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab5"></a><h1 class="section">Binary positive numbers, operations</h1>
+<a id="lab1"></a><h1 class="section">Binary positive numbers, operations</h1>
 
 <div class="paragraph"> </div>
 
@@ -315,11 +315,11 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab6"></a><h1 class="section">Operations over positive numbers</h1>
+<a id="lab2"></a><h1 class="section">Operations over positive numbers</h1>
 
 <div class="paragraph"> </div>
 
-<a id="lab7"></a><h2 class="section">Successor</h2>
+<a id="lab3"></a><h2 class="section">Successor</h2>
 
 </div>
 <div class="code">
@@ -336,7 +336,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab8"></a><h2 class="section">Addition</h2>
+<a id="lab4"></a><h2 class="section">Addition</h2>
 
 </div>
 <div class="code">
@@ -372,7 +372,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab9"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>-1</span></h2>
+<a id="lab5"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>-1</span></h2>
 
 </div>
 <div class="code">
@@ -389,7 +389,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab10"></a><h2 class="section">The predecessor of a positive number can be seen as a <span class="inlinecode"><span class="id" title="var">N</span></span></h2>
+<a id="lab6"></a><h2 class="section">The predecessor of a positive number can be seen as a <span class="inlinecode"><span class="id" title="var">N</span></span></h2>
 
 </div>
 <div class="code">
@@ -406,7 +406,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab11"></a><h2 class="section">An auxiliary type for subtraction</h2>
+<a id="lab7"></a><h2 class="section">An auxiliary type for subtraction</h2>
 
 </div>
 <div class="code">
@@ -421,7 +421,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab12"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>+1</span></h2>
+<a id="lab8"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>+1</span></h2>
 
 </div>
 <div class="code">
@@ -438,7 +438,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab13"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span></span></h2>
+<a id="lab9"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span></span></h2>
 
 </div>
 <div class="code">
@@ -455,7 +455,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab14"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>-2</span></h2>
+<a id="lab10"></a><h2 class="section">Operation <span class="inlinecode"><span class="id" title="var">x</span></span> <span class="inlinecode">-&gt;</span> <span class="inlinecode">2*<span class="id" title="var">x</span>-2</span></h2>
 
 </div>
 <div class="code">
@@ -472,7 +472,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab15"></a><h2 class="section">Subtraction, result as a mask</h2>
+<a id="lab11"></a><h2 class="section">Subtraction, result as a mask</h2>
 
 </div>
 <div class="code">
@@ -505,7 +505,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab16"></a><h2 class="section">Subtraction, result as a positive, returning 1 if <span class="inlinecode"><span class="id" title="var">x</span>&lt;=<span class="id" title="var">y</span></span></h2>
+<a id="lab12"></a><h2 class="section">Subtraction, result as a positive, returning 1 if <span class="inlinecode"><span class="id" title="var">x</span>&lt;=<span class="id" title="var">y</span></span></h2>
 
 </div>
 <div class="code">
@@ -521,7 +521,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab17"></a><h2 class="section">Multiplication</h2>
+<a id="lab13"></a><h2 class="section">Multiplication</h2>
 
 </div>
 <div class="code">
@@ -538,7 +538,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab18"></a><h2 class="section">Iteration over a positive number</h2>
+<a id="lab14"></a><h2 class="section">Iteration over a positive number</h2>
 
 </div>
 <div class="code">
@@ -555,7 +555,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab19"></a><h2 class="section">Division by 2 rounded below but for 1</h2>
+<a id="lab15"></a><h2 class="section">Division by 2 rounded below but for 1</h2>
 
 </div>
 <div class="code">
@@ -588,7 +588,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab20"></a><h2 class="section">Comparison on binary positive numbers</h2>
+<a id="lab16"></a><h2 class="section">Comparison on binary positive numbers</h2>
 
 </div>
 <div class="code">
@@ -614,7 +614,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab21"></a><h2 class="section">Boolean equality and comparisons</h2>
+<a id="lab17"></a><h2 class="section">Boolean equality and comparisons</h2>
 
 </div>
 <div class="code">
@@ -636,7 +636,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab22"></a><h2 class="section">A Square Root function for positive numbers</h2>
+<a id="lab18"></a><h2 class="section">A Square Root function for positive numbers</h2>
 
 <div class="paragraph"> </div>
 
@@ -784,7 +784,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab23"></a><h2 class="section">From binary positive numbers to Peano natural numbers</h2>
+<a id="lab19"></a><h2 class="section">From binary positive numbers to Peano natural numbers</h2>
 
 </div>
 <div class="code">
@@ -806,7 +806,7 @@ <h1 class="libtitle">Library Corelib.BinNums.PosDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab24"></a><h2 class="section">From Peano natural numbers to binary positive numbers</h2>
+<a id="lab20"></a><h2 class="section">From Peano natural numbers to binary positive numbers</h2>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Classes.CMorphisms.html b/master/corelib/Corelib.Classes.CMorphisms.html
index 9ac05a3254..07616dd93a 100644
--- a/master/corelib/Corelib.Classes.CMorphisms.html
+++ b/master/corelib/Corelib.Classes.CMorphisms.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.CMorphisms</h1>
 </div>
 
 <div class="doc">
-<a id="lab82"></a><h1 class="section">Typeclass-based morphism definition and standard, minimal instances</h1>
+<a id="lab112"></a><h1 class="section">Typeclass-based morphism definition and standard, minimal instances</h1>
 
 
 <div class="paragraph"> </div>
@@ -296,7 +296,7 @@ <h1 class="libtitle">Library Corelib.Classes.CMorphisms</h1>
 </div>
 
 <div class="doc">
-<a id="lab83"></a><h1 class="section">Morphisms.</h1>
+<a id="lab113"></a><h1 class="section">Morphisms.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/corelib/Corelib.Classes.CRelationClasses.html b/master/corelib/Corelib.Classes.CRelationClasses.html
index 45a87b8bb8..72d870afc5 100644
--- a/master/corelib/Corelib.Classes.CRelationClasses.html
+++ b/master/corelib/Corelib.Classes.CRelationClasses.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.CRelationClasses</h1>
 </div>
 
 <div class="doc">
-<a id="lab90"></a><h1 class="section">Typeclass-based relations, tactics and standard instances</h1>
+<a id="lab100"></a><h1 class="section">Typeclass-based relations, tactics and standard instances</h1>
 
 
 <div class="paragraph"> </div>
@@ -672,7 +672,7 @@ <h1 class="libtitle">Library Corelib.Classes.CRelationClasses</h1>
 We can already dualize all these properties. 
 <div class="paragraph"> </div>
 
-<a id="lab91"></a><h1 class="section">Standard instances.</h1>
+<a id="lab101"></a><h1 class="section">Standard instances.</h1>
 
 </div>
 <div class="code">
@@ -825,7 +825,7 @@ <h1 class="libtitle">Library Corelib.Classes.CRelationClasses</h1>
 </div>
 
 <div class="doc">
-<a id="lab92"></a><h3 class="section">Partial Order.</h3>
+<a id="lab102"></a><h3 class="section">Partial Order.</h3>
 
    A partial order is a preorder which is additionally antisymmetric.
    We give an equivalent definition, up-to an equivalence crelation
diff --git a/master/corelib/Corelib.Classes.Equivalence.html b/master/corelib/Corelib.Classes.Equivalence.html
index cbc6a5fd48..53ad8e09db 100644
--- a/master/corelib/Corelib.Classes.Equivalence.html
+++ b/master/corelib/Corelib.Classes.Equivalence.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.Equivalence</h1>
 </div>
 
 <div class="doc">
-<a id="lab84"></a><h1 class="section">Typeclass-based setoids. Definitions on <span class="inlinecode"><span class="id" title="var">Equivalence</span></span>.</h1>
+<a id="lab108"></a><h1 class="section">Typeclass-based setoids. Definitions on <span class="inlinecode"><span class="id" title="var">Equivalence</span></span>.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/corelib/Corelib.Classes.Init.html b/master/corelib/Corelib.Classes.Init.html
index b153ec7b8c..26f377bd1a 100644
--- a/master/corelib/Corelib.Classes.Init.html
+++ b/master/corelib/Corelib.Classes.Init.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.Init</h1>
 </div>
 
 <div class="doc">
-<a id="lab89"></a><h1 class="section">Initialization code for typeclasses, setting up the default tactic</h1>
+<a id="lab106"></a><h1 class="section">Initialization code for typeclasses, setting up the default tactic</h1>
 
    for instance search.
 
diff --git a/master/corelib/Corelib.Classes.Morphisms.html b/master/corelib/Corelib.Classes.Morphisms.html
index db8fc44518..9064643d89 100644
--- a/master/corelib/Corelib.Classes.Morphisms.html
+++ b/master/corelib/Corelib.Classes.Morphisms.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.Morphisms</h1>
 </div>
 
 <div class="doc">
-<a id="lab93"></a><h1 class="section">Typeclass-based morphism definition and standard, minimal instances</h1>
+<a id="lab103"></a><h1 class="section">Typeclass-based morphism definition and standard, minimal instances</h1>
 
 
 <div class="paragraph"> </div>
@@ -292,7 +292,7 @@ <h1 class="libtitle">Library Corelib.Classes.Morphisms</h1>
 </div>
 
 <div class="doc">
-<a id="lab94"></a><h1 class="section">Morphisms.</h1>
+<a id="lab104"></a><h1 class="section">Morphisms.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/corelib/Corelib.Classes.Morphisms_Prop.html b/master/corelib/Corelib.Classes.Morphisms_Prop.html
index 6f50c633cd..f6a6394548 100644
--- a/master/corelib/Corelib.Classes.Morphisms_Prop.html
+++ b/master/corelib/Corelib.Classes.Morphisms_Prop.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.Morphisms_Prop</h1>
 </div>
 
 <div class="doc">
-<a id="lab88"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">Proper</span></span> instances for propositional connectives.</h1>
+<a id="lab107"></a><h1 class="section"><span class="inlinecode"><span class="id" title="var">Proper</span></span> instances for propositional connectives.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/corelib/Corelib.Classes.RelationClasses.html b/master/corelib/Corelib.Classes.RelationClasses.html
index d31fd6e0fa..f1632ffc64 100644
--- a/master/corelib/Corelib.Classes.RelationClasses.html
+++ b/master/corelib/Corelib.Classes.RelationClasses.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.RelationClasses</h1>
 </div>
 
 <div class="doc">
-<a id="lab85"></a><h1 class="section">Typeclass-based relations, tactics and standard instances</h1>
+<a id="lab109"></a><h1 class="section">Typeclass-based relations, tactics and standard instances</h1>
 
 
 <div class="paragraph"> </div>
@@ -698,7 +698,7 @@ <h1 class="libtitle">Library Corelib.Classes.RelationClasses</h1>
 We can already dualize all these properties. 
 <div class="paragraph"> </div>
 
-<a id="lab86"></a><h1 class="section">Standard instances.</h1>
+<a id="lab110"></a><h1 class="section">Standard instances.</h1>
 
 </div>
 <div class="code">
@@ -1065,7 +1065,7 @@ <h1 class="libtitle">Library Corelib.Classes.RelationClasses</h1>
 </div>
 
 <div class="doc">
-<a id="lab87"></a><h3 class="section">Partial Order.</h3>
+<a id="lab111"></a><h3 class="section">Partial Order.</h3>
 
    A partial order is a preorder which is additionally antisymmetric.
    We give an equivalent definition, up-to an equivalence relation
diff --git a/master/corelib/Corelib.Classes.SetoidTactics.html b/master/corelib/Corelib.Classes.SetoidTactics.html
index 528e1fb0e1..6229bdc16a 100644
--- a/master/corelib/Corelib.Classes.SetoidTactics.html
+++ b/master/corelib/Corelib.Classes.SetoidTactics.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Classes.SetoidTactics</h1>
 </div>
 
 <div class="doc">
-<a id="lab81"></a><h1 class="section">Tactics for typeclass-based setoids.</h1>
+<a id="lab105"></a><h1 class="section">Tactics for typeclass-based setoids.</h1>
 
 
 <div class="paragraph"> </div>
diff --git a/master/corelib/Corelib.Floats.FloatAxioms.html b/master/corelib/Corelib.Floats.FloatAxioms.html
index 17bd50a8e9..09fc5c6291 100644
--- a/master/corelib/Corelib.Floats.FloatAxioms.html
+++ b/master/corelib/Corelib.Floats.FloatAxioms.html
@@ -271,7 +271,7 @@ <h1 class="libtitle">Library Corelib.Floats.FloatAxioms</h1>
 </div>
 
 <div class="doc">
-<a id="lab95"></a><h1 class="section">Properties of the primitive operators for the Binary64 format</h1>
+<a id="lab48"></a><h1 class="section">Properties of the primitive operators for the Binary64 format</h1>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Floats.FloatOps.html b/master/corelib/Corelib.Floats.FloatOps.html
index 518d4c4095..e459c2996a 100644
--- a/master/corelib/Corelib.Floats.FloatOps.html
+++ b/master/corelib/Corelib.Floats.FloatOps.html
@@ -271,7 +271,7 @@ <h1 class="libtitle">Library Corelib.Floats.FloatOps</h1>
 </div>
 
 <div class="doc">
-<a id="lab96"></a><h1 class="section">Derived operations and mapping between primitive <span class="inlinecode"><span class="id" title="var">float</span></span>s and <span class="inlinecode"><span class="id" title="var">spec_float</span></span>s</h1>
+<a id="lab64"></a><h1 class="section">Derived operations and mapping between primitive <span class="inlinecode"><span class="id" title="var">float</span></span>s and <span class="inlinecode"><span class="id" title="var">spec_float</span></span>s</h1>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Floats.PrimFloat.html b/master/corelib/Corelib.Floats.PrimFloat.html
index a863f807d7..528026adb1 100644
--- a/master/corelib/Corelib.Floats.PrimFloat.html
+++ b/master/corelib/Corelib.Floats.PrimFloat.html
@@ -270,7 +270,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab101"></a><h1 class="section">Definition of the interface for primitive floating-point arithmetic</h1>
+<a id="lab49"></a><h1 class="section">Definition of the interface for primitive floating-point arithmetic</h1>
 
 
 <div class="paragraph"> </div>
@@ -279,7 +279,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 IEEE 754-2008 standard. 
 <div class="paragraph"> </div>
 
-<a id="lab102"></a><h2 class="section">Type definition for the co-domain of <span class="inlinecode"><span class="id" title="var">compare</span></span></h2>
+<a id="lab50"></a><h2 class="section">Type definition for the co-domain of <span class="inlinecode"><span class="id" title="var">compare</span></span></h2>
 
 </div>
 <div class="code">
@@ -295,7 +295,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab103"></a><h2 class="section">The main type</h2>
+<a id="lab51"></a><h2 class="section">The main type</h2>
  <span class="inlinecode"><span class="id" title="var">float</span></span>: primitive type for Binary64 floating-point numbers. 
 </div>
 <div class="code">
@@ -313,7 +313,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab104"></a><h2 class="section">Syntax support</h2>
+<a id="lab52"></a><h2 class="section">Syntax support</h2>
 
 </div>
 <div class="code">
@@ -328,7 +328,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab105"></a><h2 class="section">Floating-point operators</h2>
+<a id="lab53"></a><h2 class="section">Floating-point operators</h2>
 
 </div>
 <div class="code">
@@ -403,7 +403,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab106"></a><h2 class="section">Conversions</h2>
+<a id="lab54"></a><h2 class="section">Conversions</h2>
 
 <div class="paragraph"> </div>
 
@@ -442,7 +442,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab107"></a><h2 class="section">Exponent manipulation functions</h2>
+<a id="lab55"></a><h2 class="section">Exponent manipulation functions</h2>
  <span class="inlinecode"><span class="id" title="var">frshiftexp</span></span>: convert a float to fractional part in [0.5, 1.)
 and integer part. 
 </div>
@@ -462,7 +462,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab108"></a><h2 class="section">Predecesor/Successor functions</h2>
+<a id="lab56"></a><h2 class="section">Predecesor/Successor functions</h2>
 
 <div class="paragraph"> </div>
 
@@ -484,7 +484,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab109"></a><h2 class="section">Special values (needed for pretty-printing)</h2>
+<a id="lab57"></a><h2 class="section">Special values (needed for pretty-printing)</h2>
 
 </div>
 <div class="code">
@@ -501,7 +501,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab110"></a><h2 class="section">Other special values</h2>
+<a id="lab58"></a><h2 class="section">Other special values</h2>
 
 </div>
 <div class="code">
@@ -514,7 +514,7 @@ <h1 class="libtitle">Library Corelib.Floats.PrimFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab111"></a><h2 class="section">Predicates and helper functions</h2>
+<a id="lab59"></a><h2 class="section">Predicates and helper functions</h2>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Floats.SpecFloat.html b/master/corelib/Corelib.Floats.SpecFloat.html
index 1ca185b176..4c7b619528 100644
--- a/master/corelib/Corelib.Floats.SpecFloat.html
+++ b/master/corelib/Corelib.Floats.SpecFloat.html
@@ -270,7 +270,7 @@ <h1 class="libtitle">Library Corelib.Floats.SpecFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab97"></a><h1 class="section">Specification of floating-point arithmetic</h1>
+<a id="lab60"></a><h1 class="section">Specification of floating-point arithmetic</h1>
 
 
 <div class="paragraph"> </div>
@@ -279,7 +279,7 @@ <h1 class="libtitle">Library Corelib.Floats.SpecFloat</h1>
 of the Flocq library (see <a href="http://flocq.gforge.inria.fr/">http://flocq.gforge.inria.fr/</a>) 
 <div class="paragraph"> </div>
 
-<a id="lab98"></a><h2 class="section">Inductive specification of floating-point numbers</h2>
+<a id="lab61"></a><h2 class="section">Inductive specification of floating-point numbers</h2>
 
 
 <div class="paragraph"> </div>
@@ -297,7 +297,7 @@ <h1 class="libtitle">Library Corelib.Floats.SpecFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab99"></a><h2 class="section">Parameterized definitions</h2>
+<a id="lab62"></a><h2 class="section">Parameterized definitions</h2>
 
 
 <div class="paragraph"> </div>
@@ -460,7 +460,7 @@ <h1 class="libtitle">Library Corelib.Floats.SpecFloat</h1>
 </div>
 
 <div class="doc">
-<a id="lab100"></a><h2 class="section">Define operations</h2>
+<a id="lab63"></a><h2 class="section">Define operations</h2>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Init.Byte.html b/master/corelib/Corelib.Init.Byte.html
index f9379bb6ee..773ae69a27 100644
--- a/master/corelib/Corelib.Init.Byte.html
+++ b/master/corelib/Corelib.Init.Byte.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Init.Byte</h1>
 </div>
 
 <div class="doc">
-<a id="lab51"></a><h1 class="section">Bytes</h1>
+<a id="lab68"></a><h1 class="section">Bytes</h1>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Init.Datatypes.html b/master/corelib/Corelib.Init.Datatypes.html
index 5ac4a0e1ba..1c77c946e4 100644
--- a/master/corelib/Corelib.Init.Datatypes.html
+++ b/master/corelib/Corelib.Init.Datatypes.html
@@ -275,7 +275,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab52"></a><h1 class="section">Datatypes with zero and one element</h1>
+<a id="lab74"></a><h1 class="section">Datatypes with zero and one element</h1>
 
 <div class="paragraph"> </div>
 
@@ -309,7 +309,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab53"></a><h1 class="section">The boolean datatype</h1>
+<a id="lab75"></a><h1 class="section">The boolean datatype</h1>
 
 <div class="paragraph"> </div>
 
@@ -339,7 +339,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab54"></a><h1 class="section">Reflect: a specialized inductive type for</h1>
+<a id="lab76"></a><h1 class="section">Reflect: a specialized inductive type for</h1>
 
     relating propositions and booleans,
     as popularized by the Ssreflect library.    
@@ -505,7 +505,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab55"></a><h1 class="section">Peano natural numbers</h1>
+<a id="lab77"></a><h1 class="section">Peano natural numbers</h1>
 
 <div class="paragraph"> </div>
 
@@ -540,7 +540,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab56"></a><h1 class="section">Container datatypes</h1>
+<a id="lab78"></a><h1 class="section">Container datatypes</h1>
 
 </div>
 <div class="code">
@@ -745,7 +745,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab57"></a><h1 class="section">The comparison datatype</h1>
+<a id="lab79"></a><h1 class="section">The comparison datatype</h1>
 
 </div>
 <div class="code">
@@ -863,7 +863,7 @@ <h1 class="libtitle">Library Corelib.Init.Datatypes</h1>
 </div>
 
 <div class="doc">
-<a id="lab58"></a><h1 class="section">Misc Other Datatypes</h1>
+<a id="lab80"></a><h1 class="section">Misc Other Datatypes</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/corelib/Corelib.Init.Decimal.html b/master/corelib/Corelib.Init.Decimal.html
index 526bfe4487..b127b0f08d 100644
--- a/master/corelib/Corelib.Init.Decimal.html
+++ b/master/corelib/Corelib.Init.Decimal.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Init.Decimal</h1>
 </div>
 
 <div class="doc">
-<a id="lab50"></a><h1 class="section">Decimal numbers</h1>
+<a id="lab81"></a><h1 class="section">Decimal numbers</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/corelib/Corelib.Init.Hexadecimal.html b/master/corelib/Corelib.Init.Hexadecimal.html
index ccce0a96f3..e01bce63ea 100644
--- a/master/corelib/Corelib.Init.Hexadecimal.html
+++ b/master/corelib/Corelib.Init.Hexadecimal.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Init.Hexadecimal</h1>
 </div>
 
 <div class="doc">
-<a id="lab73"></a><h1 class="section">Hexadecimal numbers</h1>
+<a id="lab84"></a><h1 class="section">Hexadecimal numbers</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/corelib/Corelib.Init.Logic.html b/master/corelib/Corelib.Init.Logic.html
index ccaee2f8d6..e402818912 100644
--- a/master/corelib/Corelib.Init.Logic.html
+++ b/master/corelib/Corelib.Init.Logic.html
@@ -277,7 +277,7 @@ <h1 class="libtitle">Library Corelib.Init.Logic</h1>
 </div>
 
 <div class="doc">
-<a id="lab45"></a><h1 class="section">Propositional connectives</h1>
+<a id="lab70"></a><h1 class="section">Propositional connectives</h1>
 
 <div class="paragraph"> </div>
 
@@ -532,7 +532,7 @@ <h1 class="libtitle">Library Corelib.Init.Logic</h1>
 </div>
 
 <div class="doc">
-<a id="lab46"></a><h1 class="section">First-order quantifiers</h1>
+<a id="lab71"></a><h1 class="section">First-order quantifiers</h1>
 
 <div class="paragraph"> </div>
 
@@ -685,7 +685,7 @@ <h1 class="libtitle">Library Corelib.Init.Logic</h1>
 </div>
 
 <div class="doc">
-<a id="lab47"></a><h1 class="section">Equality</h1>
+<a id="lab72"></a><h1 class="section">Equality</h1>
 
 <div class="paragraph"> </div>
 
@@ -1085,7 +1085,7 @@ <h1 class="libtitle">Library Corelib.Init.Logic</h1>
 </div>
 
 <div class="doc">
-<a id="lab48"></a><h1 class="section">Being inhabited</h1>
+<a id="lab73"></a><h1 class="section">Being inhabited</h1>
 
 <div class="paragraph"> </div>
 
diff --git a/master/corelib/Corelib.Init.Nat.html b/master/corelib/Corelib.Init.Nat.html
index 9e784cd61b..9550c19ce4 100644
--- a/master/corelib/Corelib.Init.Nat.html
+++ b/master/corelib/Corelib.Init.Nat.html
@@ -272,7 +272,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab59"></a><h1 class="section">Peano natural numbers, definitions of operations</h1>
+<a id="lab86"></a><h1 class="section">Peano natural numbers, definitions of operations</h1>
 
 <div class="paragraph"> </div>
 
@@ -289,7 +289,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab60"></a><h2 class="section">Constants</h2>
+<a id="lab87"></a><h2 class="section">Constants</h2>
 
 </div>
 <div class="code">
@@ -308,7 +308,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab61"></a><h2 class="section">Basic operations</h2>
+<a id="lab88"></a><h2 class="section">Basic operations</h2>
 
 </div>
 <div class="code">
@@ -377,7 +377,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab62"></a><h2 class="section">Comparisons</h2>
+<a id="lab89"></a><h2 class="section">Comparisons</h2>
 
 </div>
 <div class="code">
@@ -423,7 +423,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab63"></a><h2 class="section">Minimum, maximum</h2>
+<a id="lab90"></a><h2 class="section">Minimum, maximum</h2>
 
 </div>
 <div class="code">
@@ -448,7 +448,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab64"></a><h2 class="section">Parity tests</h2>
+<a id="lab91"></a><h2 class="section">Parity tests</h2>
 
 </div>
 <div class="code">
@@ -468,7 +468,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab65"></a><h2 class="section">Power</h2>
+<a id="lab92"></a><h2 class="section">Power</h2>
 
 </div>
 <div class="code">
@@ -486,7 +486,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab66"></a><h2 class="section">Tail-recursive versions of <span class="inlinecode"><span class="id" title="var">add</span></span> and <span class="inlinecode"><span class="id" title="var">mul</span></span></h2>
+<a id="lab93"></a><h2 class="section">Tail-recursive versions of <span class="inlinecode"><span class="id" title="var">add</span></span> and <span class="inlinecode"><span class="id" title="var">mul</span></span></h2>
 
 </div>
 <div class="code">
@@ -520,7 +520,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab67"></a><h2 class="section">Conversion with a decimal representation for printing/parsing</h2>
+<a id="lab94"></a><h2 class="section">Conversion with a decimal representation for printing/parsing</h2>
 
 </div>
 <div class="code">
@@ -644,7 +644,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab68"></a><h2 class="section">Euclidean division</h2>
+<a id="lab95"></a><h2 class="section">Euclidean division</h2>
 
 <div class="paragraph"> </div>
 
@@ -687,7 +687,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab69"></a><h2 class="section">Greatest common divisor</h2>
+<a id="lab96"></a><h2 class="section">Greatest common divisor</h2>
 
 <div class="paragraph"> </div>
 
@@ -709,7 +709,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab70"></a><h2 class="section">Square</h2>
+<a id="lab97"></a><h2 class="section">Square</h2>
 
 </div>
 <div class="code">
@@ -721,7 +721,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab71"></a><h2 class="section">Square root</h2>
+<a id="lab98"></a><h2 class="section">Square root</h2>
 
 <div class="paragraph"> </div>
 
@@ -759,7 +759,7 @@ <h1 class="libtitle">Library Corelib.Init.Nat</h1>
 </div>
 
 <div class="doc">
-<a id="lab72"></a><h2 class="section">Log2</h2>
+<a id="lab99"></a><h2 class="section">Log2</h2>
 
 <div class="paragraph"> </div>
 
diff --git a/master/corelib/Corelib.Init.Number.html b/master/corelib/Corelib.Init.Number.html
index 942cfc28c3..3c27b6765e 100644
--- a/master/corelib/Corelib.Init.Number.html
+++ b/master/corelib/Corelib.Init.Number.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Init.Number</h1>
 </div>
 
 <div class="doc">
-<a id="lab44"></a><h1 class="section">Decimal or Hexadecimal numbers</h1>
+<a id="lab69"></a><h1 class="section">Decimal or Hexadecimal numbers</h1>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Init.Tactics.html b/master/corelib/Corelib.Init.Tactics.html
index 44e83fd230..7c365bc394 100644
--- a/master/corelib/Corelib.Init.Tactics.html
+++ b/master/corelib/Corelib.Init.Tactics.html
@@ -273,7 +273,7 @@ <h1 class="libtitle">Library Corelib.Init.Tactics</h1>
 </div>
 
 <div class="doc">
-<a id="lab74"></a><h1 class="section">Useful tactics</h1>
+<a id="lab82"></a><h1 class="section">Useful tactics</h1>
 
 <div class="paragraph"> </div>
 
@@ -594,7 +594,7 @@ <h1 class="libtitle">Library Corelib.Init.Tactics</h1>
 </div>
 
 <div class="doc">
-<a id="lab75"></a><h3 class="section"><span class="inlinecode"><span class="id" title="var">inversion_sigma</span></span></h3>
+<a id="lab83"></a><h3 class="section"><span class="inlinecode"><span class="id" title="var">inversion_sigma</span></span></h3>
  The built-in <span class="inlinecode"><span class="id" title="tactic">inversion</span></span> will frequently leave equalities of
     dependent pairs.  When the first type in the pair is an hProp or
     otherwise simplifies, <span class="inlinecode"><span class="id" title="var">inversion_sigma</span></span> is useful; it will replace
diff --git a/master/corelib/Corelib.Init.Tauto.html b/master/corelib/Corelib.Init.Tauto.html
index 285af507e7..b3755fde80 100644
--- a/master/corelib/Corelib.Init.Tauto.html
+++ b/master/corelib/Corelib.Init.Tauto.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Init.Tauto</h1>
 </div>
 
 <div class="doc">
-<a id="lab43"></a><h1 class="section">The tauto and intuition tactics</h1>
+<a id="lab67"></a><h1 class="section">The tauto and intuition tactics</h1>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Init.Wf.html b/master/corelib/Corelib.Init.Wf.html
index df026b2c25..06d5ae55c2 100644
--- a/master/corelib/Corelib.Init.Wf.html
+++ b/master/corelib/Corelib.Init.Wf.html
@@ -267,7 +267,7 @@ <h1 class="libtitle">Library Corelib.Init.Wf</h1>
 </div>
 
 <div class="doc">
-<a id="lab49"></a><h1 class="section">This module proves the validity of</h1>
+<a id="lab85"></a><h1 class="section">This module proves the validity of</h1>
 
 <ul class="doclist">
 <li> well-founded recursion (also known as course of values)
diff --git a/master/corelib/Corelib.Lists.ListDef.html b/master/corelib/Corelib.Lists.ListDef.html
index abf059dd11..6ecaee6628 100644
--- a/master/corelib/Corelib.Lists.ListDef.html
+++ b/master/corelib/Corelib.Lists.ListDef.html
@@ -270,7 +270,7 @@ <h1 class="libtitle">Library Corelib.Lists.ListDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab76"></a><h1 class="section">Basics: definition of polymorphic lists and some operations</h1>
+<a id="lab43"></a><h1 class="section">Basics: definition of polymorphic lists and some operations</h1>
 
 </div>
 <div class="code">
@@ -283,7 +283,7 @@ <h1 class="libtitle">Library Corelib.Lists.ListDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab77"></a><h2 class="section">Map</h2>
+<a id="lab44"></a><h2 class="section">Map</h2>
 
 </div>
 <div class="code">
@@ -351,7 +351,7 @@ <h1 class="libtitle">Library Corelib.Lists.ListDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab78"></a><h2 class="section">Nth element of a list</h2>
+<a id="lab45"></a><h2 class="section">Nth element of a list</h2>
 
 </div>
 <div class="code">
@@ -404,7 +404,7 @@ <h1 class="libtitle">Library Corelib.Lists.ListDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab79"></a><h1 class="section">Existential and universal predicates over lists</h1>
+<a id="lab46"></a><h1 class="section">Existential and universal predicates over lists</h1>
 
 </div>
 <div class="code">
@@ -433,7 +433,7 @@ <h1 class="libtitle">Library Corelib.Lists.ListDef</h1>
 </div>
 
 <div class="doc">
-<a id="lab80"></a><h2 class="section">List comparison</h2>
+<a id="lab47"></a><h2 class="section">List comparison</h2>
 
 </div>
 <div class="code">
diff --git a/master/corelib/Corelib.Strings.PrimStringAxioms.html b/master/corelib/Corelib.Strings.PrimStringAxioms.html
index 6db6bbd201..2d1a03a10a 100644
--- a/master/corelib/Corelib.Strings.PrimStringAxioms.html
+++ b/master/corelib/Corelib.Strings.PrimStringAxioms.html
@@ -274,7 +274,7 @@ <h1 class="libtitle">Library Corelib.Strings.PrimStringAxioms</h1>
 </div>
 
 <div class="doc">
-<a id="lab112"></a><h1 class="section">Conversion to / from lists</h1>
+<a id="lab65"></a><h1 class="section">Conversion to / from lists</h1>
 
 </div>
 <div class="code">
@@ -313,7 +313,7 @@ <h1 class="libtitle">Library Corelib.Strings.PrimStringAxioms</h1>
 </div>
 
 <div class="doc">
-<a id="lab113"></a><h1 class="section">Axioms relating string operations with list operations</h1>
+<a id="lab66"></a><h1 class="section">Axioms relating string operations with list operations</h1>
 
 </div>
 <div class="code">
diff --git a/master/corelib/index_global_T.html b/master/corelib/index_global_T.html
index 474c8d6888..9735b2585f 100644
--- a/master/corelib/index_global_T.html
+++ b/master/corelib/index_global_T.html
@@ -743,8 +743,8 @@
 </table>
 <hr/><a id="global_T"></a><h2>T </h2>
 <a href="Corelib.Init.Nat.html#t">t</a> [definition, in <a href="Corelib.Init.Nat.html">Corelib.Init.Nat</a>]<br/>
-<a href="Corelib.Program.Tactics.html">Tactics</a> [library]<br/>
 <a href="Corelib.Init.Tactics.html">Tactics</a> [library]<br/>
+<a href="Corelib.Program.Tactics.html">Tactics</a> [library]<br/>
 <a href="Corelib.ssr.ssreflect.html#tactic_view">tactic_view</a> [constructor, in <a href="Corelib.ssr.ssreflect.html">Corelib.ssr.ssreflect</a>]<br/>
 <a href="Corelib.ssr.ssrfun.html#tag">tag</a> [definition, in <a href="Corelib.ssr.ssrfun.html">Corelib.ssr.ssrfun</a>]<br/>
 <a href="Corelib.ssr.ssrfun.html#Tag">Tag</a> [section, in <a href="Corelib.ssr.ssrfun.html">Corelib.ssr.ssrfun</a>]<br/>
diff --git a/master/corelib/index_global_W.html b/master/corelib/index_global_W.html
index f2477cb152..813b41b2b1 100644
--- a/master/corelib/index_global_W.html
+++ b/master/corelib/index_global_W.html
@@ -772,8 +772,8 @@
 <a href="Corelib.Init.Wf.html#Well_founded.R">Well_founded.R</a> [variable, in <a href="Corelib.Init.Wf.html">Corelib.Init.Wf</a>]<br/>
 <a href="Corelib.Init.Wf.html#Well_founded.A">Well_founded.A</a> [variable, in <a href="Corelib.Init.Wf.html">Corelib.Init.Wf</a>]<br/>
 <a href="Corelib.Init.Wf.html#Well_founded">Well_founded</a> [section, in <a href="Corelib.Init.Wf.html">Corelib.Init.Wf</a>]<br/>
-<a href="Corelib.Program.Wf.html">Wf</a> [library]<br/>
 <a href="Corelib.Init.Wf.html">Wf</a> [library]<br/>
+<a href="Corelib.Program.Wf.html">Wf</a> [library]<br/>
 <a href="Corelib.ssr.ssrbool.html#wlog_neg">wlog_neg</a> [lemma, in <a href="Corelib.ssr.ssrbool.html">Corelib.ssr.ssrbool</a>]<br/>
 <a href="Corelib.ssr.ssrfun.html#wrap">wrap</a> [definition, in <a href="Corelib.ssr.ssrfun.html">Corelib.ssr.ssrfun</a>]<br/>
 <a href="Corelib.ssr.ssrfun.html#wrapped">wrapped</a> [record, in <a href="Corelib.ssr.ssrfun.html">Corelib.ssr.ssrfun</a>]<br/>
diff --git a/master/corelib/index_library_T.html b/master/corelib/index_library_T.html
index 94b7fd28a7..f87caa8eea 100644
--- a/master/corelib/index_library_T.html
+++ b/master/corelib/index_library_T.html
@@ -742,8 +742,8 @@
 </tr>
 </table>
 <hr/><a id="library_T"></a><h2>T (library)</h2>
-<a href="Corelib.Program.Tactics.html">Tactics</a> <br/>
 <a href="Corelib.Init.Tactics.html">Tactics</a> <br/>
+<a href="Corelib.Program.Tactics.html">Tactics</a> <br/>
 <a href="Corelib.Init.Tauto.html">Tauto</a> <br/>
 <a href="Ltac2.TransparentState.html">TransparentState</a> <br/>
 <br/><br/>
diff --git a/master/corelib/index_library_W.html b/master/corelib/index_library_W.html
index a2903c0bec..fcf7a69e33 100644
--- a/master/corelib/index_library_W.html
+++ b/master/corelib/index_library_W.html
@@ -742,8 +742,8 @@
 </tr>
 </table>
 <hr/><a id="library_W"></a><h2>W (library)</h2>
-<a href="Corelib.Program.Wf.html">Wf</a> <br/>
 <a href="Corelib.Init.Wf.html">Wf</a> <br/>
+<a href="Corelib.Program.Wf.html">Wf</a> <br/>
 <br/><br/>
           <!-- ************************
             START CORELIB FOOTER
diff --git a/master/refman-stdlib/.doctrees/environment.pickle b/master/refman-stdlib/.doctrees/environment.pickle
index 6eecf762779e646e80e6e43b472ccea2c1e84496..d78f18126cd3d08c49100efedcf4447566968582 100644
GIT binary patch
delta 903
zcmYjOT}YE*6yCd^maeQosHAB)NlA%W-*nTOZ927P%9Q*eMECRQ_O_<%+rom%a^#G$
z)bl}LP$U=;B*xbdb{ljNB!XQeX3<sTh0;a1&q?*Z-*kBMKIb{-aL)6*XK6yYG@+bn
z((hNhz0N={%keRlFW_MZpkJSJ$nSHr0gmNkS=U*Y&*k^^^#+~&-fO~`UZJq9%Vn}U
z%i@~u&gI%^oJg~&l2t5jv!O`W0^Ufo_XFcNxy>T-IT035RjTQv`+O0UGT9Jkj_%cL
zEj|(CLOe7w2Z3X<kqA*H7lxTUl!SUli)>>K2I3YqWEeDX+@Q_a8WS^<LRL5sWc{p@
zV?F#RPQbXqh1TJZ;U`MKv@sw4m5sm)qYl<=`S7W{6QbohxM1uiqo<9NW;zKsD#$}^
zVK0rSC47}e)DDi&h+4s8Bnrorp*}aq-{6bzx)3*&Ah>BR5WZC~G&msWP6rXpwC2Ji
zn}h5wgkp0GN(i^iwTKA%P_;tH%d-wb1ckMdLRGaz4!hdQKwD)ZD#P%jtw4y@<{=~s
z&*~mhs5$qBLh}4`3QrpbDHJxorm);}L{4DCF+y3S<q3sj7w;h$wB^EFtC2XpZ8N}p
zvk~TvIS_Aafp--JplbiBrS9!=$vOe*+ny<zwiCzjx7~^oVCg8+(!UwSF{N}oseKg3
zx0%3qY@&U1R3|Uh2#CVtOQova^#2G;!k6xb!?YtRHAJOVQE5{YCxtUkQBH1F?m3A>
zz@7^7PI;<{?q8nIjC7$IwM=%G$8`i!=c!L6?CC^9D$zs}N%+k&lDQp<Qc}{2tUY=w
zHB8RwbO(4mze^??=3|*$zuy<?YIeFf;$laAAywCG)vtv8A<_V^dJIJEO3!!le(YUE
gCYbeVRl33A%^_jQyF7`K4`wyUj!bV=dr&L-4_&NO(f|Me

delta 935
zcmZ8e?MstU6yKd&OIOJdl*DN{NzKqz+gzHnscY5Dp^`6%=w2S(E^FFe%7Vy3YSzPa
zohJf=BB6*rgz@x({Q-R_3ZaNhE&3D{w1PsnMRo79xuP%kcYfy_&hPy0S(uV6Oi5;}
z>djKO*U5}<tjyzfFkU~yu^Ub>cDLQ*9vbx7hF!;@Pn|DwxNP1*#?MF885yR8SR^tV
z=c9^a<-QrboMvrW9ge5jQ&%}&Nwe?SpK)xJjVLeF!u-x!8J#r2l|hvzSIH_WE31ND
zALC(ce#Tkp^9Q&|VS1`#Ju6S`NNaFJlPjZY$?7IhYw|Lw0^zJF(yD>5Q3gd?IT@Y@
z721N#lo)Fu#SMRjs0dut+ED_2Xg{E3xT7zI-@0+ws#ihOR1D9md(n!JJ*e-8P_+u?
z^rHqk4Yy>FhkgKd(TJ{tkJ5-5$73|2E8z%<f~+Jk<nVJRxiXyK!@IU2c;8vVzpc?A
zl;CrApFu?Xw8=}fOQFKh4v%U|_-TU*kw5{j>ffMc{_dVu(#2;q)KaK#G>T!SqY$o|
z9-}y%GN|~_-XetJ{4Mhp3QhYTP)HoOP2pzqD239N`xKU}1!4m6)^W<l+OJdCa_BsQ
zOLc|tyh9J8CLPSR>51EX2zR!_qE!JCh8&P~Eh?#di&(Hufcmy%38pQ?G5qRkAYP2!
zIwk#^Nz6)wvk2{zIK0YuuKOp-rlWc}p++FiU+dW}T}%Iuuo%4VZ{A2dLPA4GkO~P(
zAsplDY%wuPK(%uR@sFJ~<h|i+L^1g2e5nyG)Fcy$&T`mHAbFmB$%G}HXig@qG!cVu
zjOPE1Akvcq=7EX^YLgt%=J0ZOZjDHEj$^a@!yb2_ugzxnlimNRzev{QsruodCqNqD
t-hh_u_-WuBd7lh^L3)^VDW!^F^lOw~a4k)v*yUL{vLO9K={nSb{s3WFUEBZw

diff --git a/master/refman-stdlib/.doctrees/language/coq-library.doctree b/master/refman-stdlib/.doctrees/language/coq-library.doctree
index 120fe6dee4f996e6670dae6353c2b3963d983db7..74bd4a269664bc0b1d22cac2481f8d19b446baf8 100644
GIT binary patch
delta 107
zcmaFT%lD+0Z^QJLJgh~j#i=DzdYBV)ayBo1=@^P4vi*Y{<3l4<p}U2QOI%QedbcsA
Sc%lfk|NYOn{qKLK=WPIr0WJvu

delta 107
zcmaFT%lD+0Z^QJL)9qE6S=oD7i&BeIOExcl=@^P4vi*Y{<3l4<p}U2QOI%QedbcsA
Sc%lfk|NYOn{qKLK=WPI~rYY|L

diff --git a/master/refman/.doctrees/addendum/extraction.doctree b/master/refman/.doctrees/addendum/extraction.doctree
index 9168c27d71499466602ddf8d34a4d2150c04f1c0..b22d3e5cd117903795ed50c7e103d0733e74edac 100644
GIT binary patch
delta 50
zcmZ2|Lv-~G(G3pn{2V2z6(xy9sfkm1m<x(hoBiF}{oNUXm<foPftY2xzdP$46#(_!
B5-<P&

delta 50
zcmZ2|Lv-~G(G3pn{LBSKsZ)A5N>VFI5{pt3oBiF}{oNUXm<foPftY2xzdP$46#(@|
B5-<P&

diff --git a/master/refman/.doctrees/addendum/generalized-rewriting.doctree b/master/refman/.doctrees/addendum/generalized-rewriting.doctree
index 3b73f9411019d544079207fd80d0c786d8294f59..91de45fb4c67a8e4eb149a055809c50b2646febf 100644
GIT binary patch
delta 98
zcmX@~#pKWzlMM<7`8i5bD@qcJQWK~2Fc%c1HtQd3*FVSz#7scU48$xz%nHP8+w~8!
qS8eBEO-#x!Dgmla%*mO4GJ`|D{YnJ~5OV@C7Z7uAzf!@IcMt#y+bNm=

delta 98
zcmX@~#pKWzlMM<7`I!rfQm6EAl%!UaBo?J6HtQd3*FVSz#7scU48$xz%nHP8+w~8!
rS8eBEPRz-f(!-jVlwVXb{bUA*eEXFO4j|?PVlE)&-hQQmC+{Et3AZVl

diff --git a/master/refman/.doctrees/addendum/implicit-coercions.doctree b/master/refman/.doctrees/addendum/implicit-coercions.doctree
index 7b48a6e0696703da7dc9d34be87e6315148d3049..7616b34f67e4bafa6f7f7eada414f3f928800b15 100644
GIT binary patch
delta 51
zcmX@TQTFsk*@hOzElmDL_&G{aD@qcJQWK~2Fc%c1w#OY|0%B$$W&vW>?Quuga;E?Q
DFC-Om

delta 51
zcmX@TQTFsk*@hOzElmDL_?ZieQm6EAl%!UaBo?J6w#OY|0%B$$W&vW>?Quuga;E?Q
DE{+v)

diff --git a/master/refman/.doctrees/addendum/micromega.doctree b/master/refman/.doctrees/addendum/micromega.doctree
index 0abff828618071ff34f0328ed75ae1ed016b415d..5c1dd271b96e8dafdcf74fdee84f4a83a198d018 100644
GIT binary patch
delta 119
zcmeBKF441GqM?Ox3zMcUKSxPwMM+{&YT}e0=7OTsb_-o5AZFffq02H;K$Zt6S(K<-
zT#}NLnFLgkn3FSQLTQF-R*^9S!}Nnsn8n*!?O3+6+OhJ~3u93{eFrzI!giOvtR7(i
Dfqf{D

delta 87
zcmeBKF441GqM?Ox3zMcUKXXA*>XaUilGKWl#G=&1b_-o5AZFffq02H;fQ30RCuiDY
iR;B5uo-p&Zv)Zw2XSHMHsYi&P=4R#H?y{HFBMbolog8%l

diff --git a/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree b/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree
index 07f4f2b65a454c762c43a766ddc823f73f67fff8..1b0047a562b58172e97155806d228ce4aed3bd8c 100644
GIT binary patch
delta 34
qcmdlqg>BOmwhgS+{2V2z6(xy9sfkm1m<x(hn?<U(i&Qhp@dE(my9_P>

delta 34
qcmdlqg>BOmwhgS+{LBSKsZ)A5N>VFI5{pt3n?<U(i&Qhp@dE(mB@8YA

diff --git a/master/refman/.doctrees/addendum/program.doctree b/master/refman/.doctrees/addendum/program.doctree
index 8ff4b0e45df57a75f53a095d1fb5cfca11f4df9b..e9d7e667b61bbcddccb0764b5ac8873c2b9d573e 100644
GIT binary patch
delta 42
xcmZ47#lN_Vf5Y}&{2V2z6(xy9sfkm1m<x(hn~&{kKemezh?%w@+r=Eq1pt>p6D|M%

delta 42
xcmZ47#lN_Vf5Y}&{LBSKsZ)A5N>VFI5{pt3n~&{kKemezh?%w@+r=Eq1pt<-6D|M%

diff --git a/master/refman/.doctrees/addendum/rewrite-rules.doctree b/master/refman/.doctrees/addendum/rewrite-rules.doctree
index 9a41c80118665d9c967778d82b1a75a475d6e3f9..a93a31c7e1df24be606d66dc02c597b850210648 100644
GIT binary patch
delta 38
ucmaE{j_bubt_?mJ{2V2z6(xy9sfkm1m<x(ho1-(@qca${M`tkc>H`2i91hI@

delta 38
ucmaE{j_bubt_?mJ{LBSKsZ)A5N>VFI5{pt3o1-(@qca${M`tkc>H`2hh7QdD

diff --git a/master/refman/.doctrees/addendum/ring.doctree b/master/refman/.doctrees/addendum/ring.doctree
index 5a21bb86ab8ad57766791d0baef6c34d4b49ea5f..6bc0005181b876bccb2251878f5f88f42614ed85 100644
GIT binary patch
delta 114
zcmcceRP)MH%?&L-`8i5bD@qcJQWK~2Fc%c1Zl3%zXp=AxP^>6Xx40xFCo>5sk(iUy
r{$n*G5HkTWGZ3=?F)I+WZU3>F-Bk#yj(~ma?E(8Zwg>FvY}o<;_8&92

delta 84
zcmcceRP)MH%?&L-`I!rfQm6EAl%!UaBo?J6Zl3%zXw!5bIWC2E)-{Yk%ml>DK+FQf
etU%1RoplYng%CtZ>^}DP*nJ$^WA|~EZvg<`=pf+$

diff --git a/master/refman/.doctrees/addendum/sprop.doctree b/master/refman/.doctrees/addendum/sprop.doctree
index 6af4aa5d662b68365252a55ca6d5b386da79cf30..a55a4ca28d9638ee6cd8c2c5b6413173be27a215 100644
GIT binary patch
delta 46
zcmeCbE!uxubi?C3evXpViju^l)Wj)0%mqcM&7bnxKjkq3F%u9oZ~v6XGWQ<<_=XlU

delta 46
zcmeCbE!uxubi?C3e&&Lr)G0k2C8-r9iAAZ2&7bnxKjkq3F%u9oZ~v6XGWQ<<_wW`o

diff --git a/master/refman/.doctrees/addendum/type-classes.doctree b/master/refman/.doctrees/addendum/type-classes.doctree
index cba340a3b4bfbd990d3e241cee6f6ab2e670952e..41315bd695fba9e35d1d50f8d847a37dd3315d98 100644
GIT binary patch
delta 58
zcmeCYBj0&Pe#4hwevXpViju^l)Wj)0%mqcM&CDU~%pr_G%ml>DK+FQftU%1RojHV^
GZ59B8suH&V

delta 58
zcmeCYBj0&Pe#4hwe&&Lr)G0k2C8-r9iAAZ2&CDU~%pr_G%ml>DK+FQftU%1RojHV^
GZ59B86cV=p

diff --git a/master/refman/.doctrees/addendum/universe-polymorphism.doctree b/master/refman/.doctrees/addendum/universe-polymorphism.doctree
index 8a02accb04fc601d75be80790e983b7fb3e0497b..f2754ec7da7daed376d7b4f4a2d0347506ef7195 100644
GIT binary patch
delta 139
zcmZ4AVYR-)YJ;E$KSxPwMM+{&YT}e0=7OTsW(ALS1rJ6bW&&bnAZ7t#Rv=~rVs;?r
z0Afxc<^p2w?Ft?|g$eAeiAniIB~zxKE#*<!zGnqbtra_KQEG82RH!}WG0*mt$GrFL
R;KB!e_|&!+DDmx21ORK$FSq~z

delta 146
zcmZ4AVYR-)YJ;E$KXXA*>XaUilGKWl#G=&1W(ALS1rJ6bW&&bnAZ7t#Rv=~rVs;?r
z0Afxc<^p2w?Ft?|g$a`<Y+z;YVNFcRFDjXCFo8#Y`<@j%wN_B!qSWG4h;Vz#W1j6P
Rk9qIgAxmxdSK@n+2mrWsGC}|V

diff --git a/master/refman/.doctrees/changes.doctree b/master/refman/.doctrees/changes.doctree
index f6d552b73f92dc75e616ef8ce228d618325fa338..dc5542051b5cb5e23bf3830cc82707f4719da47d 100644
GIT binary patch
delta 223
zcmWN=M@|9(0EW>}lmU^B6h)NYyMUll6z;)d_JputDan_(ap{h0n0SG?12=$c_`l?x
zt%LonpV+YDz{v%dxG-?z;R-L;`0x`TNQf{IqTCQ8PJ$%2+>zp*G!HzIAxn-t1&Wj?
zQ=v-jw|=zz#@5_zR~vKn^X*t~%&(JG*M>H=rETqKS9|)TeI4jfpLL{TebHBa(}_-X
QrgMGQ4_*A7tmQuS4+a`%nE(I)

delta 223
zcmWN=M@|9(0EW>}lmU^B6h)NYyMUll6z;)d_JputDan_(ap{h0n0SG?12=$c_`l?x
zt%LonpV+YDz{v%dxG-?z;R-L;`0x`TNQf{IqTCQ8PJ$%2+>zp*G!HzIAxn-t1&Wj?
zQ=v-jw|=zzj`ha;`8KxZZoAr;tFMz)*M>H=rETqKS9|)TeI4jfpLL{TebHBa(}_-X
QrgMGQ4_*A7tmQuS4+Vs0nE(I)

diff --git a/master/refman/.doctrees/environment.pickle b/master/refman/.doctrees/environment.pickle
index 4472dc91d9f2bb08e8c86785314f0dc4309e59c9..baa2d428d574c65c3b44ea59348d5200da8dfa28 100644
GIT binary patch
delta 48927
zcmZsEcR&=!`*-$k?~Yq5MJ%YGhl&aU3aDT~MMO`r_lh)Gs(>0bipF*-QFPU@#TI*4
zjBAS}8oRN#SYu4n*kTf6Z0~1g_Ezrud;ejc=QGbd^UTaMGtbWMaMxFaU0)HleNJ%M
z(uvu_gOWeZO3O-0{&XG*eqpStgoIU5E;sb9QZ^weDLE@?L}qYSUPAtud4(n}Ral+e
zpJwzXgDP6Ar0}`1D!KLCSef{}H~Se1Ym)n8g_?>ryf(Qv%~(yj7GB9MaaclDYI5E@
za(10qos?fERy7pXV>*<wA>L%{I?+a2tru;|wnmk!m!TFV<mcyVl`#wR6B0EG?_IN0
zFckXn(z8QK^A=?1<ZJmqzB5-)hJ;li2d`PGla=el042JyFUfjt^r=wjnE^vaB%~$>
zCuZj+2j^wy=I1F-Lw%~0(VL2DQ|A?y&C5>;O3ld5%TpEy*Dxk#CMo3`dn+x%OI2{s
z$<5AA2};gNP0LCS&VXg}3agROb)pxkzFw5b;)<4l@`WG!E)ViKO2>wNN=~?+vM|C=
z@eiq~42h_uv<j_Sru0XP(h`+{jjNCk(~LC~C9Ix%dEF*xNX<>iRI)>TDwiFTJTz@+
zMjAzOhK-(AXvs)ROwP(nR`MFvS>P~MiOR@MO@mFIdhz5>^K%mt^V71k<`ue+$U_5z
z^Ru%v@`AM<uBJ<p&`hy{RA?ENmY1KMJ9-{@vQDg|JP-3xio$CV_jO_g<$17$5vI(9
z{KR3(-{H0jULV_lq02}cnwyY2T9F(2C~8Ps#j{~WWluy6<!MBv>J>{!qW^Pp(=yZY
z(?%xGD|Aau&MF?>*k&vkZ2aVtcCBtc^Z)j2)gR>kI(O?*U3s9BJ6dtOP0rA{@i}>N
zsLoxQe^GAc<c_tuct;M>xvYd`a&4WPm>n%A>fGEBk#g?>oh`0%M;@kgw@25LW1QS~
zBWiid9d+)fcR_N3lRNJB!COwzxwV(SmjiX~o7@b!ht8dC-9!#?awn#*nk+Xq7HF+M
zvEuFDayvb9d&3a9rp_HU^pT@<?%bVU<t93J_n+5tw$A<G{Xib#<W3s$zm@CgT=}t8
z<nB6W`}3uoYW$>tcmB!IKTMKa>6yyw&*fm9yYYIfY}2{F)}EGSCwHop;S0I0&iQSM
zmuu-<@ZDi@oX#DJz9vUFxzmk4Oqa936|k{C-KmvT&eSu<ZEh~N(Yaj%d&sSI?z_Ho
z<$5~z=i-NQODA_G@N!$ZgU(GpA0ju@xx)ed<X%qhZ1S8bauVeVsOy~_@vNPktY_Z+
z^1R$h=bjJfDW~b&hu<&A{!Z>(x#36TemYm}f-JYtxxVQca&w(af4oWVrgIaoo8|V5
zD?s(%A5vGzvCho%ol7Uk(K<IN>nGXn<Su{i`A|-Ga##8U&ymA*?pTXLxxSOTTJy<2
za!;L`JuE^VpmQ5LpOND^SMbdL>fW12<p5{qwI^+F$qjVw{l!o@(#hSJSlJ;ra&k9M
zPk1GF(YXg#`^s%~?(ZtS<<3s-2UD%D<S-|9t7G(0xsS%#{co+C^rzfa&)k=@Tpp@(
zS6+3Ho9f)7XV>LHI`{T`2f444yIpScU&{3s?S#R~#pvqFmUg~Mc(kvwt&Oiz(8^bt
z*WOpLwe?kw$M`Cbk$0n|uQIl!uMoqee+GI1(p`}AcWYlIzC*QYMQp0ho)=K)-k?G7
zh^*Y?jO2v8<fI0<dHM5{l`ShN*^urK<BQ#o*60ClE_9SdZB<(PR-p5amM*2O*Sws2
zTt%gKYY$_Q+?|yg0lQSxI18n}j`dZ(hrMS(mxe{nVdD;HyaGHAX`?nRlvltOfG=v}
zD>P&pUO+<vT6PKPOXQUA;H!KC8=AJRrgV$0VWBPvJCsXp>nSZ`D=VI{fr>|*x6&uJ
zT1cVS;Jo~V{Ita2q~xI^Qd5(28|2XK(9;R$W+x6$OG;*Fk=%_{H~`%i%c#XL<{1p@
zg{mDeSc<Er1h=c9cmrz<lNtl}LW6=@xmB*}RGE~Pl9CscH!OQp5ZhUmxVS*&Vq8ra
z)l7LAXH#~>`6)_Vb#zf9Wn$YXrEW|OWg)t#7}|zI+Z!}44YfT1eH-+Iwr)b$oUS&d
zsDlT_rK0jxhpIw|a=1eip^oypL+?6thZ#4o(43u{gTQ3ou$_5qoB1DTm@>*9Scfjw
z|C7=9|3dAQ)%IHcbVdFjS-LE{K*~yc1uwdmxS)A*nsUcpE0WIg|H+{9>3<+Pss0D*
ztSss1D-2flcf2C>S9ZkLRI)StluMnWm3rN6N{hEvrA2(MvNXx2T#lcpZ0~DRMs*&m
z*vHzGN<YRa1G`L8&Sy|LKgHIy|J-z&BE64Re(X9{IWx+p6m;99-0xyjI(1K0w#VB@
zV_zXadDlG=lO>_YOJzm6jl7K(8YvrlW-04?*~qMpLS>~#uO3RLe4BEn*F<IG5Sx<S
zd!{nGz@}8|ldSyN*+%RWg{sQxKJLn;KC#Mc2uAfCp>!B#Bkh|ReUzttdnuLr+DN$;
z#yZNZenXY0Je%U#f4<VAr;T(fWp-08_fJ*+>un?B+d%x&0sktmKeZ{!!0F0R*`~A{
zl&zc`V<Y1h7=4SM4>AkNi4it(Mm5$~VuqwBJ9BKxxglGWCdoGC%Y;#iFB%zgB1lOZ
z8m;t5u_-5p4j1BBFZNGdqf|nZD*B0V;iP^_#BiH(C~34Zq=!xEpPa3D4YiSbhb?s!
zuaszI^-%O{N`f-JYc;asYm=q;ZA!eLgrK&}VcX`S^IN7BC^NEcWMMXfT~QvS^c-hX
zrpRNJtC=>kdyQB_iAf)z?D)(^wrmvZD38*IDtm`lBSZ3y79}TRu;Mu$9f^VU$c$E=
z_v7?@&^ZG+T`4PC+1cGj?mQ7|D=V`Sl#UrTQeF{iDIKz-l^B%Rl08ZBz!-Y<FnK7+
zIh~ZMgKP_qnmm=?a^jU9ow=IP!=sgsy|p&n89qo*8lp4L8x6ITNqN!A!89A`yv<NY
zDU%<qq@&w&@~10DF+f#EY*Gevvnh{8C`z|Xo3dhLfwFD1jnp%vgVII~RmLRPl&7P{
zDWCVTDYHIJSFWNxRYxm|A)8nH=jdqVMoKl3Gr(ve@A_MOlpbT;mCwh-Dq9C}iBe;u
zm2#iil&rBUl_rTca<<rLC3n|ZDwC(hMoAg;S$8FJfQ^jWZm}t^J{zP|g{`x9SwfWc
z<I<JW$!NtsOG9PY_)KMef1C2}c%t;lvMD<YCa}0uo+f_s30n;06_ld!ro4qxG}e^&
zQ;No!@+nHu7*oDZDH>nOKU0dvmhwwV(YR6;O!(8AQspQ`!%4XsrD!NA*QXQ>Bju(h
z#C<G=l-p5|#*cDOO3~O+PNWoFisa#xqA{afKq<Nw$zM>4hKlkMO3^S;-ask3AjvAF
z=sF~SM=2T_%9klc!$SE-O3|&!U4BMM8V}0vD3z+Tn&??TgFd;A8GmTNCx=st277WF
zO3^@1?n)^d<jI36MFTuJlTtLelgCnu26pmvO3|23CX}M_oV<ooG?tT#DMjNr`3R+G
z3@86=roBP~IQb<7Y49cs7W|=sn_P}kG-#8nQHsWEa(znC^;K?4DH^BAv6P}Qn%tdI
zG(MAuP>RN8awetdrYMi46phK`>6D`JSb<C^Nn<g24W;M`Ef-UY#$fVcO40aB{)tjF
z_L5&vipE{?2TIYHOD^MvKQ!KweJDj^Ex9hGXqY88rW6ga<hGQe;g#H-QjO@-h@3!4
zx(~?Nl%mVO{28TaJSESd6pf{1LMa+Y$!jP@LnyhJQZ#&$k5Gz+PV#w5(XdIrLn#_E
z$&W#eC=~Ov6Z7Vcn-?I{JyM=5DqSWGCgluxlD_|k*n~VTFH|qKO*RVTkBWl(0%G(m
z?l7e><2;I$snawn(2=cCTc$4;NV95!SMiXUyELr!7Yi8WReWJqk%r|K&DJQ-xvECp
zR#s@#tof}Bv__BO9|_U08H*-pRMjOLv^s7sb?O_t?6p9C4idAKpH_?{?HY;P*l{Zd
z36%3FezIzeMvY#*Nuwgx?&FklVS{IJh4oO&WG`$utWm2rWf>R-iPFUlw)%69bP<eV
z@v!ZvofaVV{}Zjno;&lkQj3be)2N)UwHk_>sTVY?`d%NdrP#iIu!bEtP@qwr4zAKD
z;qW9)Zo#*WHR|56_B@xo|K3u$xcl*L8oR8n*|+%GiAw^x6=jSd<;Mw4m5QhHh}z8P
zU%d5nlt3wW5|k*^Ew-H<z}e!Wb9tOvaK~sOMKuM_;=uDsn(TeqY${%RVX`J0b!m!5
zUA+AH$5O><S7&Ot={iP|R#SZL#v+Xx^#jJ4VHI!B(Wt$5Mru^_y)=Pr8feKzRI-Gu
z7-aD;zW!r(fl}^dyV)!jxBMx_z}e1E4W{BnKab*UagE>dG-}Nwt41CA1C_C|Igz4R
zocMHv#;%wKRZpIs)Z~u;IaZ^({q5BE!>fTB7Wbb+AQ^w);Hu~=V;96oc|s7W;f?*}
z>f7U_-5U6q^j;zL){6ecN8TS7DCPe3LSeW-npZ$m3c58R+YLf@;^%GgSL+ys2!WFB
zYL+O>&`7IUXk*~$KsTY6h90vD?>R}PPB7O}|1Bk;Z&}%SWdsZwCD~B<-ZOcsmCFg2
z1m(gTHr$a)e0MLB?JjgzcD(ghe{mO@2|{mW&IM03!c!OvnoNvCq3^r|g)%#inLX7E
zZ(#ys?wCAxR}wx2t&XlNR53sxbc@kbUFRdrr(pAHutdpUkxgU4vC8vxY<j8Je1#eU
zI1klY1MR2Of;mP}g(szRyo|pvms2}x3ClQ@P)B&csh)L(lbi~!FU;oDg+L)k5MtC;
z4TRE2S<kD(gN3$~c~L|3R8NNp4lv4*%bsdVL!p3XxceGB)z^)L(M-zU;;BvzM{h%q
zdt+fS1$Us0>Y*mWWXiC{^^O!4QHd8(!V(HH9V?onAz)S>fR0)%g<%3|u~E#X0q<1u
z;SgU})U~aIMgnC$)W@v_%veS)k3nM@N#g%8xvBP80m~1|+TTvNZQxmBR8wj7>kfh}
zkQ+mUY#KdhkQHfsc~z@-68gex(*zH7dOYmoWLOsgv*&Q0P(l5nt1wGL$8^`pDm?`{
zZ)mZCUIOM9BQ1Rd1H77|KK+D34c*(H`XNQhkRuk6T-al-qz)fQZDpcA4ia7oB=d<m
z8^OGd$O-V}E&rJLkpGw<U@-yfp*Bbq=4s@WBy=)IC!`3O8u=krSgDaa(}X$(F7P-V
zj=;$!nF5v)rYtxcuE@zFIRZ8ohW5)9QZ({Xo={HH@N$H(MngA_q8jd;HD=?1BY+$o
z4O_QeGBR69<QU<A5U9QyBm5+g7dI?yqO2rmZ(97x)p5dhp@%wkywJ;_Y`C9IpHH%t
z^1ty`-km7a6To?pZ8r>(>OV>7$k}UsjkVSFlZAnteSX(aM)jYHDNco%@8?W|H&ITl
zHXX(@YW@siD5tE2@NS09{KA=QoGpCDu{lMUgDlr)uCv5!MaX9u30W$b)GG5a=2V2U
zhZew(oUB=GwNS`6Ft)+ZLTUB#V!_V!p)A)-x_l#)Q%`*<g!7E@%P~f*#D`3?i9}y8
znACGCFoaH}CbjD-xW-5J_*W&WG^y>@2pJ`EPp{Psr}l|z>-CtD&a$F<af2|T1Uq1p
z){*L&&2U;Or*_{ed|5)oyj@5x!A{&E{Kr|=j-|y~J9urs?h+D92oKpU3@*W5RfUmy
z=af<9eL{y4xu^GQ{j5TBOo@z*2VD#rc-W<mYe!t_upgx>pEf+AdiI#sldAo=Fs?+#
z-4iYyk#>qMpS1aZoG#J3qMC8GM0-8d8Q%*HOK7=t-o+OCMHgERUn((-qT1#PU1D|9
ze!J?T*?dFDEs;Cxri*6FEf>w7-FDIZ;f~87&${QF9?S)VA6@EQ`#>876)xJlM3qZ^
zaXLB%pu8ITn-EqackJ&jqtM{7i+$_<aIvrIQy2S|KXb9K!3$^K4-w$)`~Jk%%KC+|
zL4Rp8lrVPJ-_H5Q*uJlXq!Pkc{uM@)aH(N$oG!(LPrViLxG-zcp!d!eA=j*K{2;7m
zxhmMy5=!qH4BC8STDpsdk5gP!FPjV>C#R_PvKUIb{CPJ+$@w-&GL)Qezn3y_H{;VK
zr;MSbM^q?hDCxTk${SvnuzrV!;W=k9Ze`TNUWSsh$IsiKtx~M1yDJ(>4Bqa_hLTgd
zxQdI(fmID9XX(mnhHTy~HGN&I-Qefav?euOns(G?(AH$;bP=^&%6?PZrKLjy3?&zp
zJ9P~o7nSnr>-r^)SK9=+)O)FcOGRx%3?&zp9~!!JOJtbVE$ZQLL&-&@N@Hi2Y+nl>
z{Jx2^OBfp$>Fg559*okugfKRyxr^|@7Eb$EZhW+}Ul{vCE2p_Uw~e!37<(<o*)NR!
zEY{gCjQzKrvtMAnhw9zIpe;Tucd*^XjGG-@Z0;QIV#ck`E@pJ@>U1@x>S8ySik|gw
z4gkxI?B!B+Yj2k(MD*1LKt0&spsgpYSl~bxm;82+i_$VfTn6Asf=gqf5?vazBgtg|
z8mG7j??`nSfL3WPEk7q~tlA^Pki};Zv+ri6OFI&>U53Ik+@*)6=Q?|c&9622E{%CU
z!lf~*N4Z#EWweWZ8^^eKY|C*@k7ZV^7;oUg2yw;(rPLM^3{6TH{>4O>+FDI=>5cu9
zT`CWqTB7UB>Yix^9tlxbHmeP%8?>;5vER-x^y3xf<QXfg?FtQXdc9_K-4_NPJMpr?
zvkh7##L8YR(v~ar{@fB4nAP6%oa-1eJk<OJCA`?I9wY{B_2&jHauM#l#6@_~(h?(R
zR(+QlO0NFJD@ydFS*@_jFqT{Yu_t$aRiY;?s&S1$ixpA%FfP1e1NtRoy|x9YV6}yn
zWdv^0`cGZ4*-*qvsI9kZL#AHXW*DM(7(%lhE)!?}P8Wx3vrF?Z_3+m&8F8w{s%Q2X
z=9SPla-Xwvm=n%9U?{o0)jsIL?my(RUz|QtqH|1Y{iFZ4b50&JjN-L1^$Eva^!;<f
zg`IiIMg8J4CDe=Re`gI2-Z}HWH_Ycs=_sg(Z)bdDX}IgI{&~^ad{*z2%PtjFx$44h
zyJmRGHRH*k7gvSB6IGudwDBNipBt*E*Kavj0X!qPllwp8`SkNUny;zA-f=A-?z?D7
zf8e5}&O^gYUI$K`s;GB=HcTtQ&iU1ajrm<OjXt!LR=YfQ>5}b#XwyaQ^3<@IR}M?J
zaDAZs)F&?tQ%a~`_R>Xt*S}p@@s&$$<zKthmh+zhPx~~W^?PgB$(7b~LlfS=Gfd^|
znK8yn>edfVFGd61cqqlJA89md@dfMMYod|sqjO(WXPAwA?yFF`QCIJ)nk1vvVaV_$
z7+O#DN-3kZ?y@Q~${45f647a*sFo^cT=9`5U@NOXls9VqOhq_W<YD}S%Q5>Fd%4*6
zUj-NYwpKJ2GGVo2W#a~3j5WW8kFjL)FIF{jZ{kCCr@D*M=6**0P(&6E!ei&-8pfL?
zEO=mZ5pG?}Da?B4``X55+=BA~#*%&-RZlaGz_cpr%ldfyWYI6PZ)=c?eS?Bs?8Cc|
zl7n)(p>Y+jV|<tq2RZcF0+gTnX@pUmWvs^on;3t^L;4$YgmQmD6TJAVMwUeyyOZm0
z&Hki9l<_z*^b%PfeHoZV-uDvy$*pF<JtM*5o!}VqBGTwjwzL4YZ=X4W6ty)pRlNEK
zlCsfIwEY-Aogh=9A@D`C5J94E8=I2&Qf3QY9D0z;tswP93_oKb9a=-`htC9FC0;0I
zksad%f3<v!(b$4KYK22QWndk$;d2xU>5C&boO`Q&lZ-ZjvL2-8WaBxZj%u4?j1-U#
znhO6ydTyE#M{9M|gz3gqnx2|r9A_X$$Kb%Q<)A9${1;HSVw!e>6g$gU3+FA<aDp^$
zwh?ECl-xbXNvV_O8gFU&IrHFKq~|~!%KP;ayV94Oxk4&G81p2?dIA`s8cw&mE;P2L
z%!|%OPx5}S#Yg>ik+B^`Le~hMYPBWC0brDbB2V>;rN(i3x$4V|X_VRVoyALCy4;vR
znHnjWI_@itPbfn*svch%+vsJ|RvTYaX2m3vmpW>#aSUbH8JlT6246^3i#8aiP%uF@
zd6I3<%$3#Fo8V2z!RcFlX@0P!CJ9+!>_lJFjwiJQ9F}J8F?JCs>8^gi*N6i$Mz-IN
z3Cqc!4j4TQoHQSTzcZ2yK4LNPQ>=}LjR8*4BXD~z+To~izD7PjX0&Mv{7)Fm7`Z^}
z)5awRGUr=UHeM4qB~#8(pSok>1ON7%F+w00UZI__=Z&odn&Y7^x?uD+aPr6{I6o(s
zT*10TCPiS#zf7o3c3*>{!%egy54vs)!XaK040*;43?V0<-=t&C(7ap5&p3&bq>5^#
zJH{S5E2^L0g<EmKH}^1Lj3j^fi&fRRKN@j(M|F^FQE*eGpNu&AW;*9QgmaSpCiry7
ziOOW!FR*Bqr{>e|e=#-|DC?oN`^|{g7mPgjyK$064t<Q(fuqJJRHt`Gk-uFazdpsZ
zdDIazb@VgicA*x*G^nB4pBon&m2H!_t1A5y!^!l&jNOGe=B~T{HZ~MMvy;}?f2gCy
z5x=JJx&yE1oIy@w!AouO+F08FW=<)1UG5v>TAH&m4K5t`&bWy&({K*__`NZRilGd0
z1aY}8cF!Pg1f$Ln#hEnqHj4*oCOZND%_8D}8QQ;sgJ)R9Ov<nc@<bAGehh{leUB+E
zP6xwI&?}Y|acmq%E>b7hUQWcJd7K*RF3zLi%0UJ%^#>0TXVP(`>tiFPgO~V$GHg=L
z@D?%C;#9XvVlb>_`s`K2&QxGR5e{^>`-mBoc|lLDL#m0N8i;R4oD1U<gj{ldkajM-
z#ZPP_P}V~=)D$s3j3hQ4g(JMx(En<Smo@TUfOuCU&({+dXym9s5l)fsW!8r2P?9gn
zYan(PviPd<sDap60K;Aqgon`fg1Liv+`o}1sh2~=d?%s;!TEX?!6~|@Y7H0hnk~8k
zj#B$4S0SYvi`_~2#)7+=(^$mJ2I)a&tTmNV?=%r{ZcBM}c%+E;e$S)O6}6j*Uuo#A
z=Hfz)oYGQ^*UDnDR8tMDM4Vr<vddbFWpJ$ivoV`~l;KT6+M>cPkNNqpx~{DlEKt@%
z{Vi79rIB0X#B&<?MF)&A`ShugZ%m_7JPGLt4LzS>vnkt2JgzKxm&U&AP~N8as)_NU
zyD)#6HX;i<i~f{j$G+_4nfh}Vu@{5XPTj<M2AZi(?*XSGYr11?$s86*HuZx3A+ol%
z)a)%L3Y7IwNgwfhjU3fa+@X<?14JC5Gl3@qMZBzH<j5i7ml|4YsEB27y)WHl(rS{x
zB&dI0Lv&Y*lHgX9^ia#Dh)Xr{K&ps^hoJ~<Y8W_~mo6$AS}9X>H;}lRrfmAr%1ClQ
zNHeuz4t#>L9_rZP;<p;vIZwQ)k&z=ryf$D0ZAOVdX=Ibpn1aM_7uKICvLER-7WS!o
zwDsrISP{qjU_I1U<HYA0*``4JOC#G)6tfLfz)L+lNyIA<CYwD)3}vW?x^tRXtf8Z(
zQ{Q6(#+l+pjr^sMb}K`V&k|2)<nkgByDLKr=Zdv7Wk=_UWi|4r1!9Co)?b8`h0ESv
ztm{3rRNSqh)0T;N3&@lWUP0ZAk+oKdczeUh3tx$&1XAe<UMaE-93TGV3rTFMk@&UZ
zb|FdquvTnoByQU++4M`GG33d1Y=`zuqHLg~yLx<!SR`;Vb(?rkBYW=<pK4^UVv%U%
z`(5G|jXbbh?5%0=--{KBYxrg#odHbmk^|J$7&-8uxJo0-9~Sp$<jo`EW{q5M6sstg
zP5zFylNKY8Ev-hJ5aYFa=ARO)XyoBD;#jRf$8&VfvU+~~o-SXE9D6~x$?Fo9Y>uA4
zEMli&0zI#abv0$PuZv$h(VHS(&@+MBx5R52S>_J)G=^@ttG6oszF3WGAf^2UN&V`9
zh!;^z>efT?wN~KgU#OQb^w@9WevK@8Bu*8`X}V0ZuOWu)bAA_**V3qAo}W9Zlhv_k
z<3p^`WO*%Zi5T-#Y%fsOL%sS;+@O&~FT}MP8TXPpH4}LJ7adDZ{v%@7Wn|&M;uji;
zj|{NDQ<U6&YpSO9dMmataH+NLsb|xyuM13ASH0=mYvyV>2GcO1IbYS^8cfN8&|DoV
znzkY3+gvTPX%ZOrGWCGPgzd7q8fP^ja%;{aH}yx!lujA8nGGpz8c7+tSCPTfEoSw3
z854p+ExTPg6JDM|a}GApv*k^t3}Dzk``E*T7`eIH&&%{3P5r!0J862kqG>-(XID1i
zt#fl4f_kdo_%NL+s$7apk`Rsgzq2|sj$7T;&xEyRWpn4J4qLMEz);iFolI|G^jEvt
zOtAtb-PH~LCd>s!rq(uLS7f9;KqrIined4QL;tI9`b8sO1eq>q<fUMfs*#IBO+yV_
zwoI4_;VCQT2sfo@<cA0oUH~(6RTC3t6C-;@nlQ+eB!0i)o!FZw6XpWTTF~5t<%^O1
zTAF%j$`7?N;p+f~dd8SmYXT?Rn)YbuoH!FE023J6!Gxubkue=jn5v8v;!V>v*(F^}
za3+REb%W80X|m=U_#`k{8B)Zf+%J2W@G5^uk%xMrrwMNqK#`j>ELGIOy-n?T#=btL
zPMoUT&xB(;D*RP{6AoG^)qEhlic#+enQ-Jnu{A?X1_Pt^4mIJlYDkfnIxxwEGcTGe
zrNH$VwLDd;gT0Ve-w!k4kdTVx$|k(*pwx?Wr|{HFr-DY=CW))>Jluqr22}1sE{2Oy
zi}Fp2In{Qg32#AY?%7eMMVuNn8iT^HDq~IMxR$7KrpX+;INr2}Q%fe83OE(`xe3Qz
zRLhP@7&S(XoMNiO%Wj)y8pE-u>89(P@}KGKlAjAr>p8Z3mgy@_^(caOGcAU>rd^ym
zsbIJnHh#Wo6Q`nx2`31&-hURFK5)vi#1zG;9!s5VyY;2%6vuWiH?`(gNvq(6tn9(B
zO#3*7`0F^QhHfwg8d>g&%}z@bwwhk@5-HnFw>Z^(r!&`Um#GIYfv*_4^4vRnOgJ&7
z_NDJLP3M&PfawIU<K96N4sK}f?89&d68nWQ8{eO%kf%jjls4n22~iqY5B1D36E;dl
z_Bf6;fRh_eVC~>!-BYG<8oB4R3C}=Gw$WKS85z0loG#Gfya`JuL+@OGzcP}r2y*fz
zQ=FD{_c9hmF4gm@DMlkVUBg&&G~|XUUn6(lq%)mqY;eo;xq*}4-Z8afsJDvGa`5#O
z6PSPB)LSFp|7ao_x$Y+uo*J3J`Jd?`MM*x-TK#J3tVyl<&D2FB#Yc2KX9X5MHhsa%
zl2gx2Wz?9bx{ct+Yf^n*nEvG?c{|urO`Y)46r^Px`b+N{e4gS|`{0%7jVAEywQhd$
z8xtNjS-se7@Z7-2sqdW~Kt70O^Vgy|Udu@m%+6kVWH1}GHbMxYJuAAyY(})n$cJv`
zJ{lS?nGwA*^jayib7+&xm<MX;m9jdTSl(>WG<@b^{#Q`epVIc=z|n#hrQaFup?0ib
zwqXk#g99DK+Z@P9clAO=b61UQSlRr7ljPm^SmEM*%%NIVQB^a7B$Rb0_=L=)HmGhc
zWnjG8!Ox6mY?`I+tzpJv10%cJ%vkXm`H#POmPXF6O`FBgssZL4jr_8%8Qx7%a_}!x
zO|@Np%}{rBY@m6fCRL_^8Q;0EvOytcQ6pP7G}|?SWsS_!G%_Nbb`+Cc9btwGFtSk-
zo&2_`d4h&^k23$Kk%O9>;jv71cMJ18jqD$7Ry6WMD>_(AAT-9DuAy7nnzJ=BsGS*)
z5lmovoU>JGlMYS|<a{nX^mn@%ksgy8*U4N_)3~OynT9B|Bb#(JzvCoXmTIb@rgk^u
ze1&E0?cr<$*?P`oQ9JiC!y#GLiQZ;B*)TGuuWrYQetJj84baDW<3RInO?LQT^I46I
zPcUQuWEy-Eb@SIHnQ<UQQS$7j(WIVEH4o9GqSEwk!e^0KY*^X;8T#PA&om=qX6T7*
z^Kp$_Hr)J;MrP!h@eIZUDvvN@Jz(UKk>*)iw+tC=zM`RR$C`sUs_Z`ysBRl)ZlvYB
z9Iy8sz7XuGp?^#?V`XIuKTI;?Ye-(rRNV>j{iB<P?w#%&dvaq2P6z{M(uqq85I8_-
z^_xPyN26ysCxd!(wprCGTRF$vi0dMe(@m24Ofgr`bXQnl#zM_1pGV9~G%|XT?ly-P
zn>{tzhf8%Y{%n~U3pFcNWrg{=MjBR`@x;RnD=NZ=PwT&Ox-wyWi#598j6b>7*+zoO
z@m6QOK1mBVn(^%_tDxp)^Bj#lwnaDm(Kfn}F@g3w%=i?SkvDgmhjWr_erB$!j@qS5
zUHe*hg089=`w+8}o<pkmn(h&f%=%j*$n$;Xl_Y%tp5(sXZ^niL(p@e4jTw6cBPSg+
z7iy&6VLDh0U3bKc#~(@(%q^SR<tTMSmUZM9U5*%e=eT)+hE6_d#sext!%ow#WMx^X
zdF_mOt(Nu0Iob(zv+*q>?s9k&a^BpXl+6+S)v_1Nbp%SftFag9Y+&T~m(24uGXDy7
z1csKmX2xj-Bgu6$p0_DUiXLLR)VWDVpJlE6fp#LxI-G;Ci@Hr)$M~;rVxIqW$2?3E
z9dM6Y%u4-tpY9fn-1LApiIM#u(k3v{;}_}@j4b}ud`Tl0{BAy^ktvVq7BQtV4jXdv
z>k#8pH1WB=cGxiHsksIYIs9?hu;m%`9gtpX_zQD_hOYn9d`=^${bjC=vk@wA<R5cK
z4fXxkjHgkiq2GUWY4bR5&L$n-nrD)4E@^Kd-n=z$7ka9j-<c;Fh}9s}oZr=Qg*-2-
zy?SUbSdNo#osVa@FjJGPFj%?^@%%KPqS3Nlh*wV<EiVPqq`&jTANOg-2m$;l?xfk$
zNdUvnL+iR(4uMgBw^}YERou7MRPU9tETA+!=AT~1vYzHQEN8iilplclx?8dh0B3tz
zw!$N>;oHflqiT?I6)fnj2imujG2XDGf%><%rN}^TPr!lRtWPVE(p4anGnpRfRk1V^
zDCwad^sy|~NL<Xo(#+7`s$04kIN70wr79;0WZl#WHVgJdCS|B)>86n>wb3x*Hx8$%
zC+b+>A55TCT?^cnkvHmDu(mPsWuOJS9U~_-u;3GMM&1muY}C;C4J|k=VCaA_3kI8!
z55g_j;utxtv1Oq~hBmb{(=-%B(Wb1RC%Qq+EjUhKvZq_1M;S>5JT#Y8Cq!GY1)RJB
zH>)~2kW6WfPT6x6)BJ5~OLKve?rMh^%LI+Q)s{Awp#$1ku>3IceVhgH1S2y$Sk4<b
z*{Kt)ilKkSTkzn<$a!5XbB&yA+{2Qgk-K_ZKGOtR^|ibb2)<_1BBCpuwD)Om`{P9E
zKo|Z7g3KNO?<>2&d18^W4lT$U+lX`;gcc0ks!fz*gDkZL%6g~>A+azrazKIw=UI%j
zBvQ*5xjxB)Rf3V7Q!IE?Wu$4CF0eMuf@p=IEz{wwoGhPdIjE8Mvn&TRa%&FleJ0y4
z*McyXkxBU$?5B)uHj)l7BmW&`d8U!CM_Yc;$QNU2KQMv+##u0%8F{n7a!(^qPqcJ4
zaJ2qp3-%f&;5F5<P9x7vqn^dkfz#<Qa}6^r2$C83OQ8jeAtNWuvYgh)0Y!R?-_5by
z(9mBM%U@b;PZn4PYviCsn2cOQ`z5-DT3=eQH&VR>fqD%!eYqu3le)jc(oZ8huA*+m
zYQOuH#jI)kXASkRpI_n_+<8APgM_$i@13&NTM#>f#RJv`EF_F1SOb03+)b9p2A-9@
zm5y)uHuOlv%^XQS-EJ8{{%C`PaQ7Wp3c9M_?yw9pkR^%OKybls5-CW+-VyP&Wt>1s
zclFqAx@a--<Q_V?HpM^`*YBo~rE!`mpYFE=2$aRi?Ewq68b(GPv>=FP<h?@{#F&i4
zx9Qj@8F}qn3l?ccwm)V;9LUITzq8<QlacjL(snUYJw=xwMuwlU;0%V5zn`_>p@fm|
zzsGvZNP2H4K%IHPvQ^8nU#6|Gw{jjU{X4z^Nxq7?QM)zz;r3PZ!yxsGYnCJf$$BF4
zm&{6WL1i-fCWOYn(5Bh*o0i+`dZC@)Ekr^u7TU|RTZMLScBRl>mfa_`mu8m<?E<?=
zXg9EHgmyP}hY$(9KxntJ+k^H}?CPN1%&rZh9KACLE%d@5iqqSINa$6;PVRzSKyM0y
zr`H6L&^v-i=mkL}^mZT;dNmLUy%%V&#V!S+etIF$ZleDg;uCv0_8%d@(OZG2pI!+B
zNACmLC3YDQ9K8t$E%X|oy)wH42)ncBMK)y8>wjSB-9Nj?F8)E3-ueSaul(69?7ANs
zMeq6{p%?woL-dv(B<U4DyN%uNLnqS9eMsodJ|y&79};?}52n!zeRfZFo6lYaSNU*}
z(B7Qg<Fhwpm-rw`Z}8a@*!4YhAHBP0_h1+IU?IJ=hYIPHJtXwL9uj(44|(*a9yoeU
z&t8%J`vVlG_w%5WUd}@vy_pA&Udyuw&^viGXbb6$JY>@Acy=SZi-#_y7x4i0CBNUc
zwDF>&HxT#ldR52$yFU1nEcYPMcP#aVIwa$cB@!=I*WJNAj-&;5!Sp0icP+KOsCl%|
zvc)L00)LX_24uutOAVnbAv768_TIHb7f|IzOe_8Y0CSWgc`fRo9QBtXdA$p_(S_UW
z!fkcow!3gUUAQ%!cnx)^4;0DkoGjzMb>WV=aK~M^A6>YgT)6ix+$Zr`g{%gH&cO$Y
zWS`zVle%e<T+M~^b>V8ba5fjNmJ3(Mg{$kr)&Iy9pu(V!EVy77F4To<<idr!aE)EK
zrY>B!6y88OWs2k;CAfkjxmO7mp5VgubKwTKaD!a9Auild7cR+#^MNx`@1oPGs6eh(
zl9hd3xEd~;&4sJw!cjM;N~zlyF@OKa)mh5(=o~GQ>$-3S^<CH?7cSU^tG9uxp)<Bf
z4s_ufxNspZTtgRb$Y!pEPVpjnXhRn^$%RXC;f6Umb@c;;g%aB?%EiYQ9wLK(#e40V
z4=rbff#lgk%XuM`9QqkyYy#>2i)F2lPX7A^(Lp%r`K#qgDS8XJ(@Fsab7{fKB;_|t
z0YrcK4Pj-1I_`H%c|nL&XFamS2>3|q@?%T3#FpVi6xl<%KDYRg)IThTg%)bS6ARuF
zwIDa1T22a)WaTr22a#&jb4zuh++b8Qa2~rik7S@a?1iOs86iX6^WG9^5<=CNMz^os
zgl6i7(r!K7aC`EDms^BTn?zJ_%XLfSWqYgJE4am)i2B}ARuz5RrqY{uGpoA&WD+{6
z*)`pE3uIxCTUoV{zgx0ZNKqFBx&3MB$yZCZcA;Xr*CC-h9TK|JA)z}R61vkNp*tNC
zy3-+{I~@{w{T&J2>5!zV_ru-xc?!YmlJ;)R%z};F=<GJ%jc#(tt*egc;?~OIMwbt;
zaq7X|Zf`{)Lft>W?TyJTi^G}f!J%$Hn}jy%>S1p63_@#iUUth7>Z#G`Zg>gSQtg=O
zmSq+?ko|dX4}^wfS-u-Co~hMFxILEK=){HUWVQSRw_vww^fEhGy4fM2n;jCm*&%5`
z1~}Zhl%ty+IC^y*Nqcp_!!5-}h*fK@cI#zvqgU1e+tmr1+~Ug!>FW7CZfh$G;p)gs
zZda=b_0^8g-I|thqf-=O1Jp0xxpgwR@jXQjP#+kq!z;Sc`Gnj^wSN`sjEX`d^_NiV
zn2O$X*8@y<JtTD3LlUNrY;XOvuFyw)mTUdR>_#UM;GycB(N@t-Xi6STwAON?lLBa8
zQtoqW2NoVVm<KsnaO7aIk%NUs4i*_XSYYH}agl?CMGh7fIapBSU@?({g+vY(5jj{u
z<Y3#JgSm)<d5D8Kh=ciugSm%8j-p$WgL#L8IfsM!hJ(3=gL#I7g+LA#0XbLz<Y4iS
zgM~j17X3I_@Z(^ykAsCi4)(7P94zi}u&~F$q8<kedK@g~aUkTu*5qIzkAp=#4i@k@
zSiIw4;f{kjfP;;{gAKofg*pxv={VTfJJ`Q0aIh%H!GatIi*Xz*#Bs0)$H4*|2V0OG
zEWB~hb+j9*r_qgr1vd^B+wlMF<Y1AFgAK8Rjj)4-H4gTl1{^G=aj=la!6F(53uqh|
z*MP~^;aH>+mRUW?mdVzdxYjynn$?Fqo@}iKI%k8m0;xX5YU8*!@ttCIBSWTGeO!RW
zQy?8m5{jVZ%oJ-BXv<V<9Fi_mt${)_vT`bNil$o2bK2&FZcMdS2mNZQH5duAB66D5
z7xcvSD3LkMihnvd#afZ9n`W&c3?n-h0KGlUS_ib~u(m+LDg`8wAr5O5+yZ7=W;viG
zhHE+Eu+|bfl3yLxMnVcXx7u2jG@gz>VOOnQBz3wq2<ZIj)|N<Et-npT)&^Z}27^`<
zS-nZ}3~OCLvuB{n6!QHHYXlP0OsgGNSG&%%w#Fxu^JbzAspQy9G#DRW&a~D?a%7Gb
z--i`i#~FoS(&`e7KQbGJ1(P3VLsKwW`4gZ<MKB?lHiSZ`F9HcINgfrUql3xwQ!up3
z9JEfu<K{3tX^ypl6I!ch2LfVM33IKLo!JfMTC0L)eKUyDtcF>0t=>NLNkLw_<C9OO
z&Xd1C@X06m7Zb_3ne)H}(}sAGOI*_*b3fMiVXoCo!W65wu2o?+v6_)-B6Afh7HDqD
zUIi|MR?mX6=Ze)2wEH~P5ux+Y*;+N}^H>v^k&Aft-g)T9VDj@kt3MKHKKx8;Mbvz_
zjz(wBw^pjoTCu%ED=dlGnVAV$NxUI<H^Ghe&1W`!KcCskdf*+`>9c@U1P7}~1}$LK
zFlU&(0FD<-9WR2ky@qjkv%p#pKyAVXtp~xJ2_~ZmYu^$AHwmUQ$dlY4FxkdEw){d!
zX>{yDYXIr-9W;Hu5PmF^jSHbrCRZ22ab#jxWDP^oc#*X+lI%s+5F{%WSwoRrT7){~
z1&dLMOzQEZ$6{7&;$l{8_hR_COdc&}#e9}n>ys-tQC0b67?8nB(7ko3k5?jdm!S9S
zlATMSu`ap41h&>CrlnSYF5i49+@&se!r&Vyo4eFn2>{A^k>yKaKrM1=Ddq>huRMmv
zR{aus;z)-t88qWdcyb&$^(BmnBS#LPOwmTGNGdFYL&i}j^d@bWVF(!Am?m`P*t`sS
zBgnO7*5*jOmRnmPVKXFcIl3r<%v)}4hU6m8Va`;01)3kh%crcs5Jr%>D_}$fxwPVA
z`8q4H0z~lU3|R^Hiy#wMqKhKP&Xwrd2=Z_x)MOI(Rp^II60r&clSu}xg8iA?f;Fq4
zJCj^og<;9$gIe_~Cfw>PYZE|Sb~#%)_bYf$CSOX9er2s~rq9#(@1qkpqK$^tsJ0Dh
zv>L<Jnoq8=t1&FC`P6JM9n0&E)##embfIb}v|g|VwzMVzYpmf&2CYF4v?fa^SC3p=
zgI=$vyO@boT#I3=$E$9)7HaE}p=)7yJu+)8+NtFXx@onLAJ$?(>uC!D1<I_mR&)Vc
zu7jV{+J<JOuR}{)lA?83*<0fO!?FaNH~yI_`mG_cuZKMiX}wWGFY?WLYf~g_eD1A7
zgFH4^ZDx8%Q0T*ZA$|iURWG``P{F5LtyRde4QOXC^2Y{j8@;$w#cf3Y_u~COdm}nB
znX0J3ReZk@Dw27oaTC^%ZlvBOYXFk&o6zEJyjSLK!dP_UYtYe6=#Xv%>p(aXug&nX
zZgjP+KvFlOM0=uahB@uYxy|VJ_Pi6vZ?RfQ)h+0%_GIN2>=|9Rz=bt>nofs1p_f}Q
zbnW>9P;)DKtv$D+-&QODTCqiFE@(K6H#xl(>qdLp1C5ce1*hpY_@_o^mY`Q|W1@U*
z;WU#kx1FhOxE<RDtHFzm+wN3RiR|9aim_?*WV<!cO#fpN#vx%pys_a9W+Iz?@(#?A
z_M~VBe5yS;xPz(tdj~TtXeaBEAv>*+$YUmC@5ic8yc27%X6w&8nJ%fA6>L?EUM?v*
zyZEE%kz$OU)-(SUGxOQT9=MCyik^uOVrhR@Bn4k%n_0aJogPaL?t(EasYX1%MkmIS
z247>yV#(GM*2-kXE-W!qzQzoQ<(>QdYnb?rD^SBFGiWz#jwRi8TU(jwzmGz{gziD~
zvuig-T(jWeZmg8CWV~vvMrx>xZlz)tGKkv4axSaPo~J6j3I*x5-f|BXEiHT69*oFG
zybL+H2hEP<a|D8ANU6Q>9IeV0dzmt}J!R}=C0U=Z*vmAc`pV?tUM!ZH#v1#uFQd`>
ztkFp3?8Cyx65OTQXRXCsR)Zv*#8fu#x4M(o`&oYu*pKNNOBU|OsK)Xo^q2iiQ-uRe
z1@nvhM=%082QYfEbSbYwHXOi0!D!lgCR6$wOkOrJl}V>>FjHA)YE^#m4VIo*a_Adt
z7bN8mTKn<r2Hc{$2hmr94_ZqtIFI34caT*CsmkQuL1q}E8y#X@o^#0B9!mBdvbI6;
z{t#2y`LMMExW$LD>u3fsqyIe2x(gdrWfF0Obt8*r<Rh%_SvRgdf~DhQp@!Tve{Ndf
zx2#!RZ(xl``xZWnUZq=m_DSlL-@;j0r&lIFe#`vGd=y)OHio^9e#};mvPv*MmC5C!
zY~0=*{huE0a}0Bnb(>cCvSXNYv2-P*P5n3&4ZdT_nDtrTu}bECXKlmF*5Zag`;HmT
z0;zh(nQcx5ZbUwAt;40Y0orsNQ$Ci!q{`&a<E)>U>(xHNnjCk68N#}5)(JKNFyH9d
zv-Rio38ugLN#^;ijU!H?pq;OL8&6_D?R4w)B6m)rw4L{1`BSLKPC`$iZkFvya!<kS
z8B~F+I)&+ACqG_9u}i10h}&rt9EgP35po(nXy@yC|I<vAHFm~nRs%-NiyS<Sr9e~t
zl+#S6`Wbk?oisUvMc+=6&R{3jY}$MVO|g@U9Ad4je3mI>1v{Q)O=0wSjx(7ZXPJGh
z&mNq`Dw<B*&S7e$lNg?`<v=-S4L8&OLRaWdx*%>QyU$rY$b`di`ZwpSc;x4Man<kP
zoawxex_yt%NhcG&x5gtm&y(ust?j_2oX1Q^C)>|s&Zm<X=b5DM1x$f-GUx&(OFAE(
ztrsvB>3l4Hx_}Kboi94R7vV-)oqaE&VH!R2BF06NKXj3m#UO+N^1Q_AK!6_s4!gS-
zDZGRkmd-cui<dAA>Ey{Jj8ZzOa+#@NgB4HdaO%R|WXfe!8%{P~#?%hyt^DsYx-6Xd
zUBTqhpo}Z<>u|y*-kK{I#&GiO6}VhD`R@t})~C(!BJHn2Z++g(aV6*-SJ8zCe6K=b
zeO`y(HPkVH#9qT-2avJX5QGJg&DWqZfIPg0b_EcR>u5^=X?`8{2N3x>_OAf4;yOAM
z@9pV&{^xbf+yLH_h>2@}hJletSfsQ32BMV!a`^^EK7h~Hnm5tk0o(!vUDZL4yUCQS
zyUFTguJqeYc%4?l?+0{s0O|GvMm3TsKR_yy9O22cAMk(~NqlcXLnLW`3r&e6<8R^N
z6C$@zE|R>wg?S%Id~TyDktFsuni5I!Ze#vNawFf}ww5QSZlm8K$)nrW7$mH14DWV_
z;S8912S(xM%N+~^)YFI22X`>Qk>vdyn9+!<YjqcMs1eD$i^Z%F*>>039f|QCOlm~O
z(~I=Ghw>Udw*-Cq9!v}4VV-m!wug~s_tE2FB=<hr6~_B--+hdeCiR|6h5U%B!nn~>
zeq>5^{)mnb<7>g|A2BXr#ODF*(x841Fgu~-4E5IsXki%ln8Od4C<{FBd}bp5J%FuY
zykVg~q36TM;Gdke#Znc=5RiPJIekdbL-<ZtlKc>U)m5GO(28qu1Id%0@#v93f_|~~
z6*Dl^Ny0C9qT2e4wFgk+uhv;e=Kg9OkHq~q^nNJm#giq!S$l$e@tZXkXCF;|w+_b9
z>%!ly`9dNo^T?WmWc(x8l1L6eLdCtwzmG7ey-EGY2$y@4{Kx3|-sI$C>=nI9=|3?2
zdz1D&nfeEOsW&<C2Z|3P)+eZT7>R#^axsKFfh{q_`zd;`BkAxIc?o3pQ?xLFeDf63
zCxQI)6y*{~lV{jt6Ud}z)+CX>!zAaQp)(B6;ovEx{&N&eAvw>jZF%PM=h!j7e~#fv
zA#a{ryCI2xVNDhS$*vbLu?PA01>7ryRQnT~MhNNur*$Bby?<h52_et_#NdUHsxM(i
z2<h;WaU);C6++0mm#8p=T;R#;mvHwGQsXZKEg_`KU+|p9WXfNdlkLdizo0CNy!s2P
zWfRi!Z|hJT)vWp(I=hn#JbC}ORR)*#kCou4MtFsZn@XC$LjR_c5wGBssbt+Nv>}yT
zd4(EMiSb`1((+&H8$9Jly~bb#lh0qH4Z-B_YfQ^v^5`{+2a}rrS$iQF{hxIhp8FsC
zhjKPj{f)J^NROyV!W+z|!Z+3+&aQlezP$1VjgiUQH&}6G67?3IB$KgkVMblD<t<uY
z7gtEo!n(xs9fqVX>G=*?YmqtcU`8Cd@y^;+r0;V{x%b$|W8Yh&IGga^>PuF?ht@dq
z(|c=YB#k~`?}#JgKA_v<$gL07Bq45ov_$`|ksvq!p%lvty9-h!5-Uh`A(taajX63;
zkSdVFf)oSPWRTh-u^XgFJV#G8pnL@R&LD*&d1H_|A!%=v@ZZ+R1*0?!cMhA1QX3@W
zM5!f`Z+P-fl-lE&xt&RBhGeoy>VSvj^Cl_QOy5G|w@kJhC2vy7ELlmUSsH*$VwRHe
zB>c`S)xcA$uSIG_A6_lc-IA=aNJEjhxk(vj`lbY7eX{{#RkFZM3Il$|P3nfEx>Xv4
zWSmus$07e&tJKrnfeQQ5AK36Dk&@H}_)H1H4ar?e>V+h{lr$R2wo+1mJeig%Eww|^
zy);beMfR4KKIKoj{$ynlel4Y68L6*GAA8A+GExA!S4J8LvF2r^MI8O6EIRkkvQh*u
zRf!x~Dpn+I%c1eTNKrXyBo}*JPO3uu%S-ie{j76&G%%Sc<<VWq<PJ~jxMS#&Nuj%x
zF49M2a?f3=NIX2CCz%ZNkfM<+^FVhele->LPb6WUQggf}%Jsz9wIF*urNJV7B~PAs
zN_9z$m(-B6gS?<;j+a!M3VEULT979^saXNN(t?brAPp4hiw&}=f>fKltsqs#)gNzf
zXm3t>cuP@8ioB%=BqzM31SEAUN`sM1uPBA!>3d&AsWp;!6{Q|Xx>b@gkQ}N6-Q9>s
zWfbT}@+-p^=}Qx`vNF2sT4gB^sIdy1uN#T0f&u78imITg?a8ew5`CEdP(`9out7dj
z10(}{q_+H-7gt+TOg`jWANXc_@~@9%M-o#N_OvIft4gs*9#@6`#gc$(QY|F$)nFY$
z{%UZLSaQD_Dv2fat1~dGx<n)3wbjwPvE<k45`7G<;VaQ6o$kJ9Tr8RF3rRaU;R}DY
z6MsLn%1%c4p{aIq)(_5QC)H|T*4Rm(8W;yVSyn^pisX3>DGo`~ny|%AM%H9n_SR$t
zBpWNx)`m9N$ygievy&}0OgcOH!-lc7lh*#MqWS);_$7aIl$}(pg+Z{B_*zm!Bok|~
z;%Y6a3ApFA&=flfs4b-;DXNXu+R44z7(6@isl&|8se@)Bps&LUJgUQr`vtIaeFB(C
zN&qwBQUGg%e_eEzon+UQx+6JSSL%nPdOb8Vog~$Rf6+jgjH`zc-B}O*l}>Kf!@#B!
zbA8mCPFmMTtJBGp`cgYCx}!cO!K3=9DxK5{l)8!ZOAwL}h=r&qQ1U@!xH%98gp<dC
zs4|?i41%fQ<kKM77*4ha!6U=T(;!$CPMS85;>@&sp*I<P&s>o#Yk+PECl?z?T{!MT
zwmtyfB3O#yKqWHhp}8_y8H`yJPJRrQa<~BjA(+_XLQq$IvO5Hs^~pb+3l4=x)h8oE
zvB>l!S3}_h14zS$=-hZRu_1h#zR4lm8e)b$Xef2yta~H0vO^=3MAX<w8ZR^;<-=fl
zB#94`nuzpc7LpT&HZKo@i$#(PVHloBQY##z8%YL)!{Z~#%y29fkz{wc)RLFD9gc2x
zk3j!Mk`@tCFNx|YG^Qm*%p<d#;O+6=2&p3SE=FKgX+(S)OC6C6Yb+%qIonvuLK4+P
z%0sfPiIgL>#r1!9V;C9U6zgmlxzbb$Mj}Q^twj1U4GD}yg$a>xz%cyN5UDpu??uA!
zvQe-xj5LqJ5Kvhh=d~D#m*p#?Fa%H)g=IF3)Nh7a8AfI{lQNOKZid+vMjAE8HWWq%
zHkabK!g0-|I^;rgxMmn}Z-HSCBgrk8=<*f}yx&5~2H2$~x-g8)YKi9cAvan|eUOAk
z!}hLZUNn}qrsPyKR)eObLMw<2B7<9@cwe%jm6Y3yzSWn{9%b)F&LiRfWc~sNF6+P*
z4qVrP8yvW$1GhPFj{#&@YxG$LS%}0V)Cjc?dG@a~JCxjPEzuWhuaMYS_9MKO!TXp$
zknn$Q|C9rdxqRa`=o`F%YlEQ+C0pCT&qK-UHc}l#lQm+bik0cV!7sGt(4Pnk${)tw
z?YyPBnvt$Ck~gG=#b6_CMrOoF{z$gPNR<m}qm29)DnP}rXg%~Z0Qp}IywQQT9QdFE
zpB!UFj7a#u)fYKn(E&FOl+uCH94My)<&WV<j!>_sj(BmAiaJn<13o%Xl>@#y;Ku<Q
z1%?^%$DadrbRd8O^(hcTB?37RjHEY5LO9ZhigctRVI1)L#tGB}1ydVS3Hl3DauY5Q
zr31}4(2@b9S}X=PfkYwkVDd3MyB*J#V=)8>!(-uu3FJbo6j(qbZn-0u>P)2=(1iot
zb)W|adh0+R4)oW70UU^?wlf{Ax$QAJ5X*tVdXXX8NF-8(e#;>zaV4n~pkJiP!#I#m
z0s4K1oWX%?9mwH8o(|-5V3ZDg%7L*u@EHRN%QXpYLjG$fl|_VajYH3bkOpyZRmA&o
zQWYfWaZ*hrvjA40l^2?l6Gr4`)0ch)Oc^=G<$sBjs{1kXCUe#0n}kMWW#?ulWTcJ3
z@9E%|*W?i5-(I3mA6?pGYYicvx5ug(LbkQXObQ{_+e>)*SkQqn0X*r_0kJ{|8QB37
zFodk=z)GL(z-)TfL8=b0tR3SWLIUj)e&U9-=Ul3tHDWsF)^YBX9idAId1a^d5WkL+
zFOukvtlYqktht|dWI73wbk<yRT2g4Eh!C{5(Ap$448MtoA9v&5*%b1;Fq&sUUebuH
zWGzQzG;nj1&_*NDax~aTNuXtb(jR_H$jwa{ok#n{uM=x$Y$w+EtWInslunYZJ+q=z
z{^%V1W?f1~LTVoE`f2(&I#_4RGj*Vl_kLMaF)S@Be^f#)e%LUT*72c}RFjQRp<7yJ
z4t|0uEuR`AH3@AvA}cKgLq(-p#WNGq;w9gzY&eU!!qO1S%gfD6PRLChMg>>Lvo1a!
zFIBI@yGqN0eTr_*JXTsJ3?QXCOMd9{z|IItLP+<{tkI)8vr%2snT_hn&P?qiF5=!r
zvQ=Z+t;wI};I|6#lT6fT^lRwIY}R#MyGRw|n20GiIU$4f&k|Z4`(co!y#D1Bpr1p@
zD>(2K1=x>+tmeQv3gF+=cadrYvtIz|z^CdqiZft46D%y7lAD|yG%_JKEn#Q|e$i3x
zzMw0b)1B1mDn*G@l0*R@g<U1LYOLTcUa(9?c49(CP-1pgK7Ni6<;ae%XnA*XhbPu<
zQjLbRK%rYgPEJtnh>T=9)~as69<HYppH)G8#JZCK-LRXmiViRV`4BBZzgCtHbD$$#
ze;5$Y8`VVzx^dvBUgQ`razY1Aa^Q>(oaMlI9k_7p6Cb)nU)GT;T;w_fNV)FP;UM<?
zz;7IXOmPPM!GUKw@SFj}w}({SfbS!!_K@oGA7J^98!8@j7Bz!HrEWSPap0w{>o2an
zrY_;nB_ed72?t*3MgHYQB6W#o2l-CfLPw%`nbtZG!+|%tlDAyR2MXBeFnsbI-?EW#
zK;(dh0`$m2cH=-Vs+0kJxYB+|3OF)=BZG92AsiU014$f6(SczckaZw~1EutOOY?fO
zbcq};k*fpw2k~JR`gx>|e9A?}=)h+j7_S2pIPkd+Oy)p2z25S?-l@8TgG+eo5?)-Q
z;&<qO-T{?3GD9y@$jkW9GIeP$R^<}DI^f5F1+)m0SjdambP0bhu~?T_$|aWRz={Hn
z)X~cX@G|u&KtF<%139pjmSMnlUL=@G&{HEhgiGwB5)3%NB@XJqVGcCXi-hqajlZky
zEYpM|QMyPo4zy$dN$!mWG>$lW<9P|+h4hwc7qF^gxKum6SR4oJI?#~=opqoK2fFJ(
z4-WL!fj%7QuLA=(FjxnMeD?`S>4Wt?j!f%=$B#I&uMeKGs7d5}AE_p()E8SWj?4Pu
zVJnU#^~JsuM+*BQGKeDw`%1OA^+{ZBs;+k!0}9J$j>sQ@<rF{QI)eYOE9=<*4-V%|
zr==t4KxFXJ9`qBev@FCWS*e3Fvy<pr%LEEP=8&QNBoCadjp&CcC4#K#hX>FI@}Qq&
zD`2YfnJW1`9YO|ta)`|o0}>9195CyE8wW<|=6uR^jMah9I8Z<V`X#MAfdi9tU^1N%
zXwx(uad45DI#9@g*%Y9k$H+w-kf<RHD9sHis{`dZ;GqLv3@9v{n~dKHP8ytwAKyj1
zGLID}#sL_tOj3UUdM1<f86ee*W}o4dP0UEh%L_`#O%2LQ$Yk4>q8l-f8$l>Q&mHB3
z9B4@EY(u^sfUv9$d5k2GWiRE~%XRq`3@9v>Ff>p9HD45LIS?+>h72EwL&`R!cpw7%
zHsr5?IO%9ZLIz1qMXHU&50a`BpxeHp>RQw4S9ATXY4r?<VNI4}bs&xd9dw{02jX?0
z3kTLwrS+)N^;~H;D#3srTw)WI@L<ShF0zdxElH)pi1k{M=12<YX{x-7XR9om0(&^H
zUk46w;E)a+=D<-MIL3h!6zD*8oaDe69XQK@^Ez<hJ8cuENJCoY3K#jDHl-nXGZ;hO
zkl2PubqZMa4W4~Vm%q({dlcwJ72M~*461+ug}g6*(j^{piC=Z#Hx4}3fj>C#Ob4E8
z?*CFp{^BC9bl_hOywQQT9QdFEpB(2KG7@f?$N>ul=*Q=>8wW~JfS&rwr8!UzNdZU7
zbHq~@@!~*59jL?sA04R50bd>P<A6;E{5eoZ2Ld=yUk3t@w`0Z!Q-q!?%OPB(kq(4$
zps@}#VL)Li`rD<06SFh2a}l?;AZ3Tb_gaufL$Lz4AW1`|S{_VcGhV(WD^HdHNA{7S
zQY1gPzCTo|(hO6njjlh27igygaU8JgKt~RAra*JjGZFhjb25@ABoR+y&54?bFuFOp
zn~3S$oRm+J>J`w#Z@CXI+MgArzyJ;m)`1}$NYsHO4y5Y9Fb<?spc~bZ!GUZY$l<_F
z>a0v+*CD>n=IJ8&Tx66Ee9D2{dYL`k!N=+npK*x-9hks@Njfl@1JiWC!GW1b3b-YO
z9GR_)6mdYI0R7-hp2q>A0}DB@L<g2~;CpH+D{_IGdPxVaaA3J!WW{l!Cgbq8J-M7L
z)o9B~t>$X#9d@b-1O-=UpaUTsXs82W9Ee~5X_|ru?DnJ&Pe!G%cM3~Vq{jR$f;V|O
z42QITrbyl#@FXE=IK-`$D$$PwTck?1GR%<8%#cD4GAB*);-Vg8M;cyZElb5~lJ;az
zs??n0cs(UczWul94cpEeQLF>IIG|D>miFf!4(!)~0~|P{1BW?qlmTSKFq}`slI6qj
z{wS9GGz>dYEUA@-ohX*1q#<s=yA00#nuasbSQ08r!3C_UlU&gmUGrHEoY#R19Js6l
zR~S%e$;nM-Uy?JMKe8B(>$>a>Uig*{+~&Z&<M3|Y*!vv$iHg{1>mPF9R~`6`1CMp!
z4-P!jf#)1}sRMs;;FS*i%YipK@Rm*r*!n?7J~_cxWhC4XkpmVTaN|HJ9VpF#ayn3+
z1D-nI#es@CP>BORCkmX^RON`TF5<@ln-2JMppFg%aG<^p1acr)2SPZ|NC(0=&{ziw
zns6jaN1Ab<r4B@Mpp6d1aG;$I#Bso`106ZgSqHjspt}zA;6U#J9qGf7{yH##1A}#7
z2nP~%Ac+I1Ixvg_={k_XfovVf;Xs}fNR;zAGRld_pK@TV4t&M|W-5KDB~Rdh;akuQ
z5JAC<%sSx4fk{+HI{79OVM{vs8HopzcW?zWd3N<I?11T{O%`79q?0jOcwLcBwsG#4
zEcUXjW;Wh@;q$F*y!%KeOR|~drEHd0Hb<({l&LM^Y8&Wggm5zyRu5aFnM9#wMAiuW
zWO^tbN=Q}?Q?@1tZ&1?7PdQQ}Bo&9_VJV$-7>-Rjos1pMs{NXCzYNEFjdbFj%ktXg
z;^Z@(B<CUuPbYJ8@!XeA&g4o}<CsZHxk<8aQU*6^IW>vCpp#c{iLZ2EH3JGwIGoJF
z2~{`=&coImPCDn|peme<%|rF!WK$kq6o!*u^4NR5%K3Qg3@6R<rMmpBU6*_bA4%s+
zZUwB8^}LczdL^4VuuTWHbD&rUc5y(}fju19uLB1-a7YIZbKs~B96Q0c?-M$5l8c<t
zfwLSquLBo2a9IbgaNs%x>eC*(!GT-<ud*u-h_dSX8H+4;)RwQ1MM2Gms0?QYbp$sS
znQ#{Y6@&q1U=|o;5pYAxH8FROX)fiiX_~#6*<z+?X=&MFUzVkoX;$`{<(n<v@80t;
zJ$~O`-#>G>=bU@)x#yg_-{;~-oMFUSKjJG!oCj#)JQo;qQL>DZLcU|f_Y$H0A?_7M
z{3H?bqeJ&qMr@O=GfKpB?7E$P#4bj>;77d3h?o3`mk*+YL(6!@k9n0@UiTvoFyf#e
zaflJuq#~-^Us#df{D>Qj_{5*(G-o;IM_gdUw+H0_qlA3Nn45kfe<&f%Z6`RYEA1r@
z$<<t~qpWeMV*kHrIY`L7@&iowZAW>K0O0=;9H<b@VO7;WpEDL~d938+5v=>h^7^p5
zJF7qcU=99~N-D%{Zz(Ca1Guf!qaGn_r7-|aiX6h^Fhvdkk6=U_KcXEY?(`$>X2d;y
zL<A!u{fKBrbnqi$8PVEbm5`&i(arj>NIqEps~)qNZVh1}W~GzhinsN1w_`+izdSR`
zyGwD9rvY<pD>Vafr6QO=$}b?A5mvu|WERlT&k@TUo&AU|jJV&AFft;+k9d#~-6X;k
zfS*TDsf0#s>f=$JMlA77G@%jaFecj2h>4MjE;PdUCTcwq9kq$N0W_(6J(Zy5HZ>*X
zjtWPiqrr|t3;0$NTd)tcU=bp{{Us)|3Vr>EevC+!h;*q_8Y2cugghsAXEGv7A>@~^
z?m>(h>Sr0oh;eVV<SD{mD7V;;C}qS*f0k^{lIut0F=DJAk<W-iKcWbK$!&@fKc<vf
z%KV6OMtJ-PFC%<@L=_`y{D@jc)cX+)jF{v{OlHJXS(!3rl4)F<CO^wGW_jF?n8AqI
ze#9I`%=06f8L_~RSjdPa3PIM%81c+hIaysx0EnS;lhqXi^|zQ3)`kX7!F3ojO_>sw
zlB4um!6H^k5qSald72Sx{fKppST7O7CC3IvY?75zh%H>VZ3;o{riR7k6oaw(E_~Bi
zg-yX?m)BL>_z;dR?dm*fvlONNarhP%wcU?+juFpG#5l-s?_$Iri5N|@r-pUP(R~4m
zk3So$5XB0$O?^(;98%-Jkx*qx3wj5m{U2B|Gk<&899(P1c4vwFc=Ye7*y1fjnfQi$
zECYF;0x2&8dA9*6c{>5%AqHI;lrYF;P|iRe(t~pl19^Iml#{`O46+%>12@om$hHC~
zkJbP>G5CMHG{719Gmu7sl+Fy?4B{EceRa?>8OZ%sq$=fC<A8GW5kPMA0m#if0J+%)
zAUD+j<Te;UcLs7h3MskO10Xke00uK~G3dfz3<J3@0v5R;0U$RB0I(8mk}!jlEw2o4
zO3uMRlXD;dIeP$*<3E5L^#SBq4<H9g06Dw?$j%->c5?v37|31=si6#HJ3vZCe=ML3
zX#g3)05VJgWGn)VrvB5zo(k%+`H6=&>^(a@?6VEHdb6)<_`|J+%>J%x_}=fj3egUC
ztFI@CSb%$a0C=fK578aK-9yMv)1L%rBg1A$!P4fSnz}N3HT6#xcj4aiDanybzcGmF
zi3jD&sb5bK*G7ht;ve9v>(zt#2T@3}Fa~x<gyF7}kT;)y?kR8-yf>nkz?<tM>1iv<
zA4#uSMI!Y}5v}RERme|n<9h?|rbl}Vc~>^yD%!Wk4Xd7r2U^-&!~yq`<fx=idy7YK
zaTVnx0GN}3e3V{iFd-RbsZ>m05+Z`}HaaWGw&f}Em*P@{{2;A=im<fG2QEgcn@=kw
z)kynNL??hVDX@<b|At8zF~s)lBYFT-^#O~C7WENk1`+gS9}(TEm~QqFJ7C<ceZgKp
zANCdZ0o>>dO$#W#pST}jct7y~z~p|gX92D2C+>}qZMiw1q@r}Gd;gBxZkvr*0&o}5
z3C{9cKP4xozY>t%A2lwZ@eEco@^F7RqyYcFNj!MJPTV(2T=O024Qd}f*2ZTj6VL$_
zP|5)DAo92esH_V(_38lekQBrqB2`tSf2w#G$SMYFQ=x#Dj-|p1UObbgQW0sQ15!QG
z;5RSX(-iHoG|{Dl?4q>VrS6oqYYs{EIjT$4MUg~0l!nSB(&aQ55YHW?!^epfpAPFJ
z(%^KsD3L1Cp+zDsPluw(v_Bo3$#gnh#6-&uPm|r|c_lkI%~9==^?Qi!$bjTr>X9KH
z=qGzWjd1`oh7T?Fy2{jj6>O2}=;=%k`-cuPJ(Hp0|8NF$$fe6Hy4^t3HkYgeRY64q
zMHEt#2a3oP+0AO@m9f0mBO5D<eYmy2SE$BZg@@ft5+fY-)vj7c><D!_RZgb{iZ~_0
zT`1YAG>wPJ#aiqLoMb_YY<5}+6PX^;zqC|QL8Qb?5ra<>hGxPMX;hUd+M^9VktsSw
z$j)BNctmA%r^;xv<9-k7W~WP;sEwW4+R%pVlw?CYu+wOpLN?jpY&&gd+J}t1VH43Q
za_rEgT6ZZ=gpR6&BXExd%1Wwxfvigk6T?z{m2x$pR-aB9{wS>L+*|jkNNJ@8K~2;i
z43G$zu>Q5R)vn^YS}9A89UA!{lLJONu!hy)4>LY!RAtToq8!t5z*KTzjUFT-BXt=+
zU~*u#qee=kVS_}Rx|N_6_!ZN`*%R6FUdSy4pJ%$z(QnoGTTMW!PuCRXFsK!9ndvZ3
zh6~qVq<P}hFsae6YV<UR(^cu>%U1Dp$6!QWJUuj6M5@zojoI*mvR=?22Tt_xoR4(E
zY3YP^ObE=t3`38<i}ArD95?~==qdLwB{bDn?elu=)mXyC)9%4&^YL_&OTRK0?J|=>
zhluECIe2SI^wnezZaI6!#Ur$8yfrXHL`BHqU1J=l7~L)zjCiA9i0ITqM=jOF*ec}Z
zAngd3`^++pl&<a#fkZzHLDVNvo1qBWBr*>bovk`iO&b3Qb>PW!3QdQFObQ)YTaB~k
zx@vg0f)))Gk%@A~p)tMAOabY55<|^IH2j+yevpj0R5~+M#CDe1-2e46e%@nh8&G3)
z-UVaFVImSInATw;s-v9BXyPtty7aFutE<4g5rNc~YKLJAc$A(VCb|I}ABM)6Lq82e
zr<p@{3|A@ha1k3Rr#+gSNqbZj1P;P{5;Ga991gG9X#Q{!ABlNQ3)|Z-GMlZ^>62_H
zhoj4|(dFT=p^e&&5M85m+!vTT$OZ09$v%7pq-Idn2+=7@&XTmk1OBCjAPUFunn628
zpkK<MV<Xhy`~3)XIrx})r05){%XKH`3YRK(k4-Iilpq*0D0?J^&J1cAiF#(xvm-@f
ztS(bBXA0v?=@aZ;ndjO_l#oRc+33x(sBbpRmqlgSBDPo7KU$vGv{cQOXL6eU7hh8P
zhjN4N?}bbY9mqy=v(TArnB78uWsCM^Ir-DF{J~j*G_`e<znK!4tri9r${Gd7TgW*|
z$(h4o+b9^^LMKOI9ER{wn15I(F$XobP=1ceP@e<iS%`8}zI~kfEJwt4(G}KhuhP8D
zAlya6&@#wXT&<d|g<^75_LN)^0Vz4TFc5b9a#fuumt`{eJQtRR61hsHE_sU6mZy;3
zJjMBBp140sSL|FaHfV%Hb-kzv_#$--i<u#CfL%J(LgAy)1?%XmH2Uy5+*$;^?`RRB
zr$3|7vt77$0Q&gRA~r^se>2lt53BY$U9x+&(9Y55nJjc{w20D6+NDX#u)CyNmyb~v
zh#n)lcF@VY!dxLE9A&N=oWe+fMPrmDW{$zAWudKOFpsj(C!G3y3<BIj5o2MV1hS4r
zPn1Ao$HHa_G<B@FFHSBHv{1=;S@|eDQ;zGS(3HIBQ4;9TScp%cOJm`u1PaYpk`nS2
zau`yvQiS_~f8(c8F9EYW?6XM;i}F$91lpMoT@vVczEa|cd`zPf=$-<V>QR6On?O07
zs^`@50*vqZbWj2#{aAqMjgcb8!Tm<+Gfs4klq(ob`Of>4@`2paj5Ku|>}RBv%za=S
zLe)s0k3$`dbaNc^fuus1!AQLeQ57Q<6^e-VauK8nT*(3hhC5&dD=h*UlkIJVBC4m3
zYb$eMvQy!ztyQf5h<J{PLH&!>AYr9H3sG4sbtpn-hWUGu=oq1s^|E4j+vSjBC0`LN
zVx=dGL_}{L(;1f88WCM<mqU+^c9v<F>NtHRa<^Y9{&kVKM_-C~MH<RImrH4DhbgS|
zpj|}7>Lev8rslAb<-Yn@#IDaNMU~oNDJ#vjE6ujpVN5F>wZk7)`jL@_V%XG5j}*hz
z_`anWPOy@jk@FesVsNTh#6|0hoWVr~k5v0^Scp=)5(Kn~%q4KYiHb@f*+h?*KnD|T
zDM1%xqEjVU3Yh5jQep0?Ht2W^_U%`}5HiG9t6c$?OIOXY6POr;p~cmJC-bPX6g4o@
z(oz&)roE*o)l8q4q8#&b2cq3fog9jk&Z#m7BG*g{8SG=^=MEUfOusu|6f;FSRla1W
zl2znXv?iw%NgJF90y7<UD$Z}5s2#p^DN~#l2BR5FDT8zJXk{7n%cBDlnMW7OFm~io
zcsZ7FUP>;9OssIqf%MXxattV5+Ep&%I?IKQyXQ6hn0cMk23?@fRa#i>sPfw7rjM6?
z0VDYDaiMx%>g5t0lhpbs5F;I0?kLU};H}1dO)YLT!d@l>H-J(&95i~;C8Erd#XVdW
z`I^R1-@+ixuVp^aBGo0O(ibk#K1whAIMV~`u?r>{?r@{!CDQ|L5!FM__i>97l~7^?
zE9iE}(oeUPE-6aA$&hhNAzx~RG*ogS&$~tYo_gsQm?21gT*Ja!DsZu-;2K|z62IJo
zFi)mvk7(aZ*`QHsah2IZ8k7jdDD9(Y*KVar?Wqz{R0WykKUyjEEv4v8_=lc0MrJ<1
zDx3jOUj?~mNfm;4DHb@<<-`;@nc8{b=wvc6$N^AmR`+7bd@nP%mdu4dd^?a#OTC!9
zsTwJc80HA7ticCIOWj@ReJQ9b{p>}5mPX+fNTt!k6^L)F^(qkGY2>Sb_tI!i1%fw?
zo~uBdrqQVi#9bO)mnl0%SBefMwGPxG<U1}Wz$>S&YMQ4JUf-kIb%3)D(P^WKO0<3(
zJzXi<_t3K)VYU!2!uX*Y$M{=?yvNkrOVz~kN+pJ2edbeI8MSg%fqfYtMh+V#`!L0|
zk=KV!7QDyg6Q*c=rgNMr$myz<OEnu^<!s?qBB`UE@kdQHoEnu?J8CeCwoy?P+OUmg
zR*5*C)M~Z;op}SDYDQqAH>*TsdnwHQ>oxoYXj5dL+QGHaFUSuu_ly@EZqY45n;ciz
zYvmUdc%y1OI%mwh$1DDY<KZV8?HZ3@P{Kogf$&E-6ZV3&uLkg()p%uz&}wu_HtJd}
zI#~5JOXnORm30+mKKVVwEuPENlqjpSS7TVR(bQ^jU#vd=aOMa_iCBskDzDL7)rb&G
z`%z{uJ#&#JPJTcl-K1+9B}{7Vsws5fYYACa-x^in0tS<6&>P!mWsQjHt<N}#Gln3e
z(&1LI)0r9!sv0)nViwn?R&<Wh%USXdCoT!g@`uzalX(D=^_&}-Gq6@o9`%$hObM41
z)<#w2ty;7&8+{9Ki;H(NdyuOX5id*ZQir(`3a-OQWuy8!3=1||Tc?cqcAXM(sSeFF
zgTf}D@5-RA6A%R%lraI#G=tm|6m8xF1ZD>9;?xHdATxt*PQYlCMRE0@Wl=`GN_iP9
zX7F-73c}aM^%$eGD6B!mXQ}0l7T4o>eRF$CA3Tk#^IWZlFNR0;_=$`UEcM9`ow8_Z
z1G<|mTG60Nd7}Z&&7v<FP=PG^vq8j}^qCiELS5)F^!UY^&~m%np39=)jY_De5se~?
z<~NG2(R%g`%pO!%St=*pS#*N=FExs&TNw9fj0mAJ#TYwLsX1^WESp81i5O?}f<I#Z
zkeWKD(^VpOlqA*t(J%P<RFj3%M!7TMp;sruSspq)5q0&@jfwD*huTkq3Lc#u@70!k
z_?pKHQ+j9^IKb#-FlQ2~=%H<sM5k<hw(guQ*xQm%C(@#c#LA!=-KIWUZ!Mc5L46O!
zPR7hmvbg`0wHU|@tsVbx6ih}};-QAgXo()8$p|G>ZZgI$y<~^V=(fq3s)w#lhJ!p5
zHU<5)o~xF{2dD*}hx$%YY@??jDm+v_MRbVLb3e}9fmOa5xE(JoO;MU0gH)@Yuen8O
z+$(p;X||rYjETXHN?%<Wx>QtoDq6UQQl?_C^H9!I<(~;tm4Ap+d#54*JoGuIZcasG
z!bk5-SXX;!WE0la9-7spShh6@<1I=b)RgA_46iXYDZy=~DYrf_4ei-OgQuxNE2b$;
zo|vXY?VP4edup0;`SodNtR9M*F5+*Ie_oTXzOcl4t#CU0g7x8aNKBwL(;+c|_D@GK
z3G^i+|C)}PCeXc)DV83OL7@c7<5a_AC_90kX5?#+iT05Rx>)MNi^PCRU%gx$UVRK6
z$fxkfQJH+Y|8W$JC!HP_9SibxnO1YA;ObgdQcqjYv@kXJ;-dlCK=t%Z8eKKXIzI5k
zs`7EP%Y3@T<p#|Vu^rWNQtPDN=1d_qjTIFRH5V{a+6<V{NX{9sgpuaXKzFXs@;PT|
zUCsOF+O-l*-j|v@$3Im1dIl<MTs{-_HB!t>m=Z5l&4f9Ols8iqH4&+3eHoG3k`inG
zDpb=*yJo^}Mmjzd@ouEcGvRL>5X}<pE&6O0&K6KoJb~46|9Bm(s;9P?l*iB5&X)2D
zW?=(FpS8a~D|%2oU@%KWB<bk`HF~vNZt4k-G9kE5+eyG%DNqaA{b!b{@IA9tg_CBB
z&Qbb&<(w}N(T<G}Bh}8vF@c_888ft+B-f-nXN!BV#5_D(#Kox9q-O8mw9;$J9bVbP
zTPa`;qTfpKb3{xpJ!cdzJcI0V2@ghH)OBD|>oOc26xLx%Y^A0-BI1_pU6?1Zrrs_Y
zbh+<mN=UV1f;J<<+YTrlO8htn&EHB9a}k49>N^+B2P@pUaJ`8p%@t8mYB8%-g|rg9
z4kz?8(Qf8DJ{R^g(UrL(+AP`KgMY=(R%Q-%)ZkNF$?m5-$CMyPi=5;qMEm4_=r3sM
zmSSf??l*JZmPOCMm>TNPk!cYmK!xp3h{z6ljbCTx)+P2D+@Qhy+eGJ|KxCRIWS)2+
zR?m7wlUs`IZ)~Q^UfDz==Ang|sBRuSW};Q|U^5f#n}^n7qSN!RO4Um^%Mt<|UKhS3
z)>F<gCCH(X=%HpMaAY&4MJAfuEFz-y{6A{^CD^OO&VY$_HKP@p=)-2wsh^(lPfcl8
zrQ4x>1g0n7#ybpQ81eq0lX<=>e9V01>`C*L=+*O8rCyz{tn)Rqw0=_Q_sElKbEEJ{
zEImxL;7QRXMqi4FO9_VMT=MdniB5v$7C-c57I~wi$}W!&Omyc0gq(?bEkFR~QON=n
zkw=R;_38qVgoD*<3($WT(7g*$ZUGHk2o00Txe(imc3QF!m9W!3NyFisq}eEBks8dp
zFA|-5@?NE{3gNRy+pEmwZ^1D)&=C(ZF(}O;Kdr_t=KMwQIUaRkaB7jbpT1u#!YOF6
z8W`dh!$KGs7ONBR#>JS?;+4C_s{I^Y427+9Wig`BO2JDM?cpWR%}RrpAVUF7W3Xol
z#@hn=dI@Hx1tgZLly#{}IhG<{BF$e4Vac?6sjBu#20t-qvkW@sQsOd^2vD*NF3hEw
z%V3#YdSMwXGl)(z_-h$N526Q`gVT<u$C0vA^Ku~{Upu@UD%t4<(;gtjl22G!+G!D?
zMs|9cppui$6HfS@6tw~w@Yvc4Z235;X$ACj(q>MbW?J}Da9t)1cnZQYsrD(jCzCcj
z1u02%;wflWLD!#xmnx{^N+2uf(Umydte`n7g%#kfmALNEoqk&h(K*y{6>ObDX{(@h
z4ppy0H0IE%RVY1&j<15~9QtDw^vt2oPb*~h(<mW_CUR=~)1W!%!>2_r0I?dCc2N3i
zh4ik5bse;DHS#&=&D9X?pv$YFSs%K44QMv%xd#0jKGj$QnOG+>^4T@eI)mO@1I;q%
z-)o>*2F0!gXBPEa3s+@P;acpZWzoE~a7PxsycV2T7OX|FSroWVZHgzZL;Wl?dL2T_
zLUrp9{1)24$m8o^WDEVh4o<aD+%wR{Lg~*yK?_wrBf1u;;0=^-AuM%&%h4MukEde$
z%ZDk{O`B$oe6Kd+P{FOEyCZI(i;iTfP?@uFKfomix&->=84=r0&XkxfRuiJw(zUsn
z8eUk3c&3MQAuSA){VW`mPcxoH#f`N6S(w&HA3uwF80jxg8P~%aMjEvqNIW*V9u>FJ
z?)9j+l}@dPiL7*UJ?w3zt{W7~&<zS%zX8Hb^vnj(@P?42ndtfk+*mPD!bXM6*$B^=
zXvRh;VWJl|!U-n&Y$LLpsnsU1nCZbykYc8sO;93{9^a&bbE~9P&_|olz#R13Cg|dz
z_M1@$3-#L!785x)i-h*_YFTrj9S883<EdRRcZyseB+|CcB05Q3oY2Tg+I|+cujN;y
ze5=C!g!Di!CI#}XT|51;83AFZh%Ja9C#7u>v9aooz%t1k&36RC2m3006~5}Ka(N5R
zNi(*f`cB%h1u=;KKY=^|KW>4bZWOi^Gn{U8|5mVM(y*-<*OSPzRYb+8gI`U-IeerV
zT;}x^%LquK^;@Ap1)bQ6fKH_!w~DU4)e)?g;WB5yVUlYCPSN<PnR~xf@(1mBw!~iP
zt90SL2YJtE=r#<T8C0<iYFKFbHn_$@hqkGv@bfk(WhJp4nwlwoJ8EGj+jbEXrEVl@
zB`(BkLb&k|D4+AdO)r|h9S%*VP217U;L^)>)kpreU3k!&mOLj$0_=TG3<3z;A#wo5
z?hsi3n|HvIUV48AvU};;4j~`ZH0^{!c;09yx~@c8u@iBWNbm1NG$vB3=S4q&0ndxE
z0BfE{cacaZIF+zV3`DACmvEuq{bCoou3Y?UL{We{V7}dunMSL3Ly0uHyj$1+%rA)H
z0JC0z5^1#K1$237^xX?072v@=Vgx$srae&CNuTTyRR9BDgiI$*dJ#eCq)ji1DF9vm
zB^JY}d;cZ!0NTBzfa@jE8<!3?z64$3sqJ1U5l<C+(euUc-MkkjM)KgxC_a<!-Y1Fx
z>h_6bfEV_OaR7I`0{bLU!7CyS;MrGDPy92eSA=|T@y`8_RzX$!(M?s*+Wm-)R64dF
z+NV<RtD+cBBf4Hi@ek0(S7E}wbcVrQuR&&CDtt{01$h27D2itjUq|VE$@RJz190ed
z@fbSnfo}krLtEZJ`^=$}Z=eKp?Qg&$IW+VDERsW;4hTCy$eW@B!22d-I_T9m#bAK2
zgTet&br3Fd(E5Y0kAsrlf*&2^eM=Mq9DfTnvf&kKgdjEz55WUA8hi+2kB#OXLSwhl
z&O;a=Y;^IEVrh36wzJWrhhZff%|47kv(di8xU^@Zn}<<N8+CshZn06p+pvU<R=h0|
zc#Ac_(SRTw!h2z%IQxlpjK`<?azE_c+v1TvYJ-iLa+xVyGTAF*wT(jAw=mtsbQ~Zl
zn%vB!VMh?{Hu4=&HClH>bfPgkFhO~b@mG#0t?oUlhOLyNN^##&_|8Uajw0Y~^yN_u
z=h&frM}Z;lz{?pl{~d7RA@z3<u^A-ZMXY4exOZV1y!HI9C<XZTU6BuvdJG=%(8^;7
zP7l3*47T*pbq3MLMFvtO47MFdQ}obZ$Kh-bjeZXX#)mrZp-=YEK~CL#Pn087`o3@j
zoOmBr_fY5wA>Z;FdP1e<o`BD>+i(H_<e`j{XptV8eG>8Dp-U%~5-}gBg2sP<7U`jV
zAHek%`so8P8o>4;Ds7>;ABtXg@x)L0CxnO2cpCiQA@Kon=GW>J?12aTPN5B0XzD33
z3g9C~ijPDEQWHNCUVw`qq5rUu_*ggrYCcAcV8-~dknjK9{1}$A(BMyCM+>d|1ln5Y
z^G^^l7Q6zj^7Z%>7O+s+r=kqt#HWb!1nP7el}(_00GfXR{#<t&eo3ISr_n#;Q|Hgb
zHh}j(gO2$W{NI8wa;{;J^to7p)QQg#&PFnvLG6u{dIoI+>*O;qiIF}#19gnl^$X~M
z#q}3xnMT_Bg_sSH_@!t9*!?AZZKRLBM6pJ?>ntM1NCVEoutr*bRt?_=&O%2c{eBku
z8|i_sL@vN%U%>@Ndg&`@h85*kP}fS`zedDZiM|G>m5zLk@~m{%IfSg0(#}CNUXDHo
z(^%=na|jMAwLLH7V}qsVVMHrEe_jc@cpg=;Qp^R>rIT9Ga;xaY%N~JNQBzk^9xGS1
za!p)v0ilnh>I)cIOtk+3x)BpyynsSY6!8t5WTH{uz(yuo@(ns<6MgXw0@_5@Z=t1$
z+}}#hy{o<z!L5*d_M*DT`sqbA>i>CBJOw0u2kV&VlkZSxGlgA(Rn3%p3DWRvG=uLi
zA)?KceHr}-F77kfbXjacYUuakH2}jE)XPk%S70kM&AuWs0Zv|lJ#Yg1gBSu(^aFYo
z^WIfIz*d0o{wTr$>64!n^}eeJZ8J4pMTO0@?Wz)R?W&>;_*u*X@|~a24Vo$c-wL_?
z-zr1UHP{soBwj;nGt-u9s>Dmz#3ZB~zo08O)6rj)`ia-k+RXICb(k%Wj$DUn^618O
zcs!4W{fg$9N6UXj!^)#ienp_=QJ3GuFo3$>FrFmhO=FlOkviN!4HK#O2108P&6FuS
zy>kO4*s1$}5chVP`5&018>RjZ|97Jmze7qUUHTm*BvH4U$dE)eH_^XW&}TQ%zgLj>
z1KmNz-l{(^W55tH|4-z|p)dbLbIl?1Ul>pv_#c8|A$qvXztJ0I(SpArEsH+>TWoA)
zSvJY=2!5Z#Z^E)K4D-;$T&)a~0KREun2zu%yWKDj;O*NDIWqPF3`+oZ2Y}y9=K>7!
zHSxOx703uQq#-pg&@dL@VxU1j64^V*-~!kfWH<oe3^p_Zd=(7QW-4wCVP^WZwc#kh
z8zF|Cu-J_dgEV8$P(wd}#!y2&u1x<NYFGd;J<Ko$;7pjI5Fk0+FacmsxS<H(ZebV?
zFiRLl0h|%gx|n(!3>^W+8Vrx#|6hUpzbECT{e}Ga0T$>FSK&D{d|}hBg-XW_hKSI+
z{K+2-hM2Z(Taqeohb3pyJKl**cie)GTN0hoDFNuaZ$XPvxt1<-RJRn>QzN54Xk+LQ
zn&eNu-p0^5w1+==SyD~@<Q;7daiQJ)$=+=Z_qDaOB$ZxKOA<4q1r$hZK@+t#bV^zE
s2d1Jg$)8>FXPNw2EPqzWpUv`Thy2+lf7ZyK4f5w1`Ll<9ZELXq4{Sn@TL1t6

delta 49282
zcmZr(cU%-l`_JC(?Qv_Rh++ZpKvYl=6%|miD~O=j8zP{xDj;BwVq!a$D7xyHXcT*|
zB(A+gV>k8|yGe|%#**^J*ni)d+1qgM=l6%s^L*!-XP$YcJv+O@T`y{Qy{O^#d7<UX
zq-Kq*o06B8laZO0K6U|lX|`5SV;V@lS=o6UD)1bhk~w5l%8>NX)U2HJ(A=z?yj(RQ
zq9R!~-7J|3>X7?0%-(9(`rc}zhBX9V#*zUQtv1hsvMFh4>6vMxMucYOrsR!ZP*9!c
z`c|}-QkRETQx8V8Rf`)|mWF2y$w*y59=w+-*a}Khn^H%lsY4su)uKjTYWYS!#C@Gu
zMZMF=2jc$a{?(hCos*TVz6`J8W=$OmJJWMjp|KB{uuinA*BbZ*dm9$yq>stT$V;!A
zGirEx?t%h$6wDf2H$8JmMrL~G@Vt~%^<!8a^>nyD$w#|L!Ao=1QU%qF;-vlv5uORF
zT(<PT{-8FmSSQv}TQ{m1>S@TPkIl<TNzKd1%3M%T;a_R$y%AYyy#5;G{sf^0{OGGL
zYfwwwAL^sdiKwKu4zJ|tHY7b$_dRn(`q)hMT*I*PWyhxv$`~{}BWp-bO7_rk3rNfL
zqTQ#U;;7t=%psw}GX~|P<Yc7hhSGKdQNIqWsU|k4Ob%YN`dSMtOr`o~gBoi2h`=i4
z4Qt^DC>*hX`<*)C$1q>((2U%?tekP`un4<QjnrQ!dJ*6CqO5)w=I3u6o{^fKnVXK*
z{cqj+FslARs;+u9^j9l4_9yqRS-ooguOo8OF`ClQ5oL4p(&`Qwo|TJMU<j&R8doh_
z#xM@!a)??KUS04e&+`TE;?a$L&G~K2pM283<;@o!|BQS-U+G|Qlgkt<9i80kaO)4s
zP=nicca;+3<lZ#hxKIf*I7iKkN>78^8MZ>HV{nK2)lm8w-1+Zfl>Ye!`(&iM(%i|t
zH5DIJMi?APh*g?6xpy9a6e$q~*H83QQk>j-OWB@EoWWI^{#wa0xLSYSS0bI<hZ?p?
zN)2<q-ue$Mm-#F8jm$0&hAUkSF7?0+CBWcDhqhD(7~IU2U6d{cx5Qge1{&PAwx>!T
zgFCV2vC_`q?v^zv3Fc4ox${3pRvoFdbY_0+(Rz!LY;YU=%PJuTcTT;k)HArphdh+l
z2KWAAg3?OoJU=P>@qp6H;I{0TqQp8mq0+8?%5ZS`wC_EIM&3OX#mF3bq^;7_;5Gy{
zR00j|Kx8eYt-(Fc302xVIaAZOzRDnj`@^%8(#Xk~+i$O?BpKYCBR?uNDVI;HH?JDg
zRO#f*6s56;m1YK4In+m~Yj7beZYiA&uKDDZN}9nXY+SDNHn_#h2PlaK_f4DkO1QyY
zcy?cD!MJ=>FO|M>Ua>nfrCA|Ql}v-%SND_>@8smKADmL6oLs5Taw{m^om}a!=RH>j
zJGnAtmj0$RHn^EpJ(N&`+pJDk`f@J+g=d+=8*3`Hotb5?);O%B8r*+cms5hBT)810
zLzEyVSAO8P?n*6#8|QIQ8D?;^MzvCg7~IlIca>--=YFK!9HpVo#d&(v$ZM^nJ2O2Z
zmUUNp7+e?Y3njzghCCdqG%&ca@=K+g!Oe1etX^;4UTC9UjPX@Rw)RsOwewTE#rUaL
zkk)PKrrwCDs5Sy0+{RCx)80?**TPSo+}2P10kXGS`l*FTcOd^y$iHprCqzP1)rtk~
z_3DL=%FIb0o}QAMo>ng>H*Z0qQiIj<RSQ3%E2COLPiU;4da0wITDg^<n$otKn%2tG
zy`Yr7yz1rJG3il|(pvcm$>5r)Phrcm*3H#opc$}j0_^gFE#;xFE7Bgo^I_lbNb9%v
z6Ox#YSCE<yYnQj>ExQ4J3p5>vhR(4ZYuvG#n%vIYR8UiW(zYt8TeeIoj{>jc+`N>$
zjMUJy^g*MB3`x&Xe`*`9UTEv12DhtbE>yyq`dFy>FB-B928d|f0T_@4^%qd(K+xBa
z*9=uQK)yGy#P-$HIUR!3`W<Sj9v%FIs%l{eZ?#-Ut9qkDb+u=Q8tS(l?9d*>w4a40
z5BysUEqkD40h;y;YFvkZ_O^aP1143rWi?Yl!+Blo<dA5!lD(hFrPP(N)zC4AW19$l
z)Yq{+gXs1#aY2EUm6MH-VZqRyxoi*lAE>!HCN4zCQcuSPdeKGpf3mx((VYVG>6-dK
z8FXR&ABZjt{{zw0;eQ~yMEnm#r}Y0obn+NbWo|v4LI%d6A?lJ&ei+#MI$cqlq}tW2
z;nmek@iA&xwq0%h&Zai+oTKhcva6Rnf2Kx^w5wwhCa9nHva6LIbWr;zPEqS1ulc*`
zs=Z5J^~T_8>it|vl|RI&54ucHPmHpw`CT`u9-ZxKd{VmFE7MLI`w6ww_erU0lXN@T
zR!@jif9N({UEkME-o>D6Hg?aPpJpd>Ite~%w;tWpN<HlAnI501dq!3xF~bC_n%#4j
z8rjdTR_m3n4jXGHai3v0tnTHmUh36OZPUlDM)e-0c1y66j?v~S>hs<`)LB_}Qm(l<
zNS)JXklJ;GUG?m{P`x_IPU1^RZtCT}L)0Cg+R3EW5Fgv`AN49E)c!Noop3;l0a@zF
z@pdwCk=d{K<p4<#lGPoZYmhUVIaqBoaIo5`r(HcaaEp3oj9vXYWsG_{-L8h6sH>(8
zicz}_wyP%wja18hYFGQFu2HLI*h$6eqMzC-t&h4LE;*DoP92|u%=9eP6ZYIYYz<Pq
z2FIwY2f@#SQ`GSB)kx8|7Hjdl!JP$ldvCisV(2!t`$QO)k*^-jwUfnJ2wz2IfLe8c
zU7e;(P$ywP?^+}Jt8Iq$Q@eGylPw#?Aoa<xL8>W>cJ4s+ej@K=j}bBI#L=8yI3i~L
zFiuv=j8W(2+sU10Voh~LW{SFPoSl?cg+MhnD@Hw-VOO_gO;KZq+KE>;i-($?9j|U2
zXkT>H;;BB)?yN3N<7&o@j8Quc*Ui5(a)6+|>|-bA&89$gN^Xq$I?qlLwwZ#|GI=rT
zdh~I2-b}R;8d!DICiU-RyZU65D)gnkR*OdGt6qcbq>cpdWQ-Z4_Umd_pO2ZS#^>49
zIb(;Z+5J&$oT~bv59sLqV_b|H1>d~uYptqw8}F`uKE9p075<@_r6$Cve<aw|%n2*h
zxCwT0w%BYVch^~c$n#>etPc1zNi7;?Cu6o-?dq#f2dIM-JDK~9HB4PUahQ63IGV86
z8m<nVG(vqn)~^0DiKuTd1a{_6X0fI+L;U0uwnivLl%g@FvV~GKzEt*6ipG}8DN50}
zQn^kk8dEC2P>RNr%Ab^?v7{nc@LzvQm7^35A(d*BqT!<wOeq>VDorhj^;q1fw5K4A
z8I|soqVb}VN+}vEDkCXH<3uH&QZ*>`1*Pc9r7WQo4GonIl%ipwqEU)2U&{BCqN|p2
znNl<qR31=@hJo(N3rf-$P<c<O1hwU7p7}J;Q-UP?M}s`25vA%;sx_r(aHn*k6b<Z@
zWJ=MXP8mTd8qg^dC`E%gWhSL)9H$UU(HKryLn#`+DaDkcv72&)QZ#N;evznGXwato
zNkJO0DS{RM(O^v}M=2VpDb*-NV>Bh0Qgj(sno^3czDhev(M4BDq7;qEl!26@@t87#
zQZyD*CQypTVaiNO(HJaWA(W)?m$HUZbfH#?DMjNh<uIja%%%K9DH?Anzf+3FTFOUC
z(Kt&f<A(oejHOhe6pgQx+LWT9mC~3}G^|qEQi_IDN)n}l@+p}@NxB^<S(KuifbuD&
zXbh#yq7;pv6hbK)J1J`@MZ+egm{K%kQjSoHhD*wMO3_eBxkD)$CMi!rjVciHvQl#w
zOk7Y)p<AaiRa6tFB$HqMG~;3aH?av>lVtHNwof$+WT0YkUqsBF#j(>GGtQ$}ojyaS
zLL6B-wPogVfxMh&@hToT`x_mr`Nblg`eDv|oysYkt5cryHJ!Sx7U|TSg)L3AMvvkL
zgy`6;FDL6%)g>GBI&Lm4)UgT6UJK-;FLw2xibj*=fdV&n;)($R<vfa?tsJjY<5q9d
zsfe|EIi+6M;8|Q@J=8MU3mXpW)XGhnCWb+xbaB0{0h}X=f>|scx*fIC0wnm2Xe;*I
znWvZfviN(Q%Klcbp*UK*pkuy!s&FmEar=^WZ2$gzor*uWQm2H&Q*^mS-!;~$d&fHR
zT=L-ut50##@vb_%thVG=eC@;~f#i8fzNC5&v5Q*qbgmFX{JpLA;;pBn1R+M9cfpf{
zr3y8R?PvReCp+#~Jd4$H*_8ghtWbdz)(||4L(ZoGD4uuWOD1zn@+@wC>2nGlxjf$~
zTAXopHl^p4GJ6%<t`~z=-M4xcU%0V|!aHcG@jn)TF1FrY!6a9iyowLp$zj>wTfNAO
z0MVzo|GiEExjh*jSLwkLl08-Lxa$v+1j>07NB`8`L<(sw<d<<Kj@5Xaqf=|2xarj4
z-{$Bg20kCFQ%_!;(Q{AyF<z&V{ySQyZoTTKQyt%6BtI=LM5y-{H9>TgOMa`!4N<SY
zJ5H{|iy3;Hq>}xKA|G2vJ{%V)=ke{ALbk9l)LMgtEi%U=fNDavn}j41C|CouAhQr5
zP|{t?6opwjX_JK3CXV)Z6ME?AF`Mv#lVtj2DNy^TlrUS*T2Myl$H_%^%ogHz&*G{1
zloKuqs%5I)-SJ5kNR~Su2nH511GPu)LbL$RLu=?MOyty2FJU346mQ{kPJO5-jOWxW
zAHil~CDv3C2*)~CLoUgDCT7u4Z~~e1J8!>s%}?+bDC?ow{DqO6Tr|%tY8XYs^qevQ
z0;W6@+7T!$)5(+|;h|1;uPvO^$<SZ{ivp9q5CWHyDG{g?A?Gr3xQSlr$WWoJKv@s%
zWEgcPBh$i#&vf!t17U(rPHiL<=wyw?!c3h!&_tN7lieeQB|2$}Hk2)ECgkd<y@j9%
zB(9}7f|Q>qG^G*mbW*dGIY3+6QfMGh(p`JfN?4_n%i0JkCrSL@7Mm8=PQd!Zr1rKK
z?wA-!#%Y!^+PAS(^?E<F5V7-c^3q>#p>Mp<8_SzNS~#<_@TE>ROcdtn<n=BFIX+3i
zpl7m`y9<~xjLh#LjMhnOFTrHuXq7(H8%$tNU)oqol7UC8BDt_zs-%tVPi<xS4+aRY
z1mf2Tlk!XtJ5f?Fn9mR36GD5CB18$4_0a023JY}dN}BMMPEH;yjL^xCLxdGNxidou
zGVx+hhtYw+G%Oi`LCDF_ECCBVLyu$&n2(I?lOqh)$xFFHIi|r&`|l{~awf2G4ApSj
zOUiIQZUm8|<6v<0HWHf#Byzm4Ux?FQjTe3rNcq;hFISM?TAKsN)rrD(AxoP+N$6oB
z(|oL1^zkH%ybQ4NDRlQUp$?o9VD%u|ZkS{(V2Xg{it*Qan`>(8rwaXb{^ea$87*Ks
zo$WNAO@!<jbbwJ-t2UE1gpmtp34?UfRzSx&LuY?s2$<&zpX%tmLIH~z6R0xZC^lCW
zu-8zOge?^;TIGdo92oqeMRagE^Chk2Vj&O1facfxMJTOZ{z{0`wW7RU0ZBX{l+#Xq
zEi}@z$}gwA$4Y%1Az4Vw1(QWPS44Z)soJ7-S;>ZtQT6dvC9Ae*?bisyOUj>K>ud!z
zUDR5w7smaYFKQPz2%}2!{Wdv0tex4+#x<(alC}z8mz0vW3+W~K&vpoJbe^?pX|c0a
zyw+d85mHOa58NeSD|WU@)UIj*b_u7$%4o`7A+}`x>3z-)(4fCf$*heBT}|tM*tM!_
zM_j9lJ4zSJf2%%w%;{h)?l_k15?OaoxcVmJ6kT>{QSG<WCEYG+!_Ss<fQL5g2O+$q
zs!Qixt%|$oYSrOOPAj;>T3?}S^S@R;zUr!9x*_D0%%5}9RloI?tNu@KyXyaV$8{LY
zx##S5Ucd0bwf?maogJiMME5LN^^!-<zM&(!yjK6Q(6D6wg#Wm9P`#(Frmp+V)zqrb
zT}@s7!qwDzzZ<<WP{0h?`v={snX4FI_b=xhCyf8*zs6)`eD7C6T1ojU{|KW>j=iC8
zjj_k%Pral26VuPyH{gTOKIBW<#*e~kp09x)Qd0F@lZmeJbh0v4NusI5Iw5M8Ev6Ea
zThw}3O)k^qyqn2ovJQ|<E|c{?rA+#O<h_<%#^f?;DwH$1jP*t3O|MHfWrv69rOu;Q
z%V>waOfJ)|y0^)>?y;uts%R?NwYz*wE~`RuWmoe<s+wG8`HE_$EMA>f!_U?74b@#+
z+N6eSOOM)3&V`>XV-bO_<qy<!ZTX;DCYJ^3PHj_(1**LEI@qNpTI;&5^<S#zT3_2R
zlgk42W4NoQA{#nAr5$c$a#^4%H#WSqeJ#f84^0d&F}_2j;U&f&jB<L3FuqMQSNVg@
z4O3Zu=NQ9PjQ_EvVLH!mZMcf@*V-7aV*ID=3|BG!pZ12U&=e2NJJ#e}%2<AKoU1)I
zJGt7Q(Am|VTM4fABy=$bCDV7Yt80BPx*1)=@*{h=mfzabwLKBNon50H>}zr^O{{20
ze`l}orRlo?uByunbnTiWDXvY6N_B18jx^V<X*}3fe#a2ku4$R!>WXuUlh?WpH)ZNm
zkC}RNglnr(vRr$~I?~l^Gjj~Dv8lNx&$VeUN4Yj_^%&QtR37JQ>c;U-FVc{ujMieJ
zF~FI9MUzZ=j6|HlNhz)QWK)xpjrig-*GgMXarMu>sjf!UpI*|RlD2z>NsrX%(3iCE
znI>nj#Q5)KnfmDUW#^iGwDtw24*%9KY3sf)>ERtOA3E1W<8`|Jvhr68o$H@=e|||*
zB(3KHXBI)0hnBaf<fxalgT&<AWw>cyy2>Xkah3maY03VTG{0pgmtCf~sHA@-t-?wZ
zo}-wl|N3|5s*?V-YUVX2XM77IhU)S~8{n$2_0FwE1Mgh5Sysp<r&qP2&89+LN^7;%
z*`eBnZKi?$x(PAl4%ZpCZ>Q_nZ2gUMENX|pb<OIaIeG2OZqtI2T1W3SJjO=sy!|GZ
zeYNI6SAO3i*Ujnlk&+&>Xu(JSACH|pW*Vbc$|^}Y?yB_f6R!O1Q?8YKb*5w`qB%S)
zoCtRXPp$kplOAws3w|&y)a#&Kr6EqARf4B+ySw(sMW-Y9(lhO{YsHnXy7JqunVxec
z8lHS`Lg5^>qE_WcXQz>}FHM!T>$jY%2*E>;JGuXh$y59Mj&po!0N?AXKHhg#HSD3Q
zs-T}uv-PTQ#8z3m`-=%rf~;!B&->MtZ}T6gmGt?nw3hhP#a-I=-<%UpOMGtHtXl!A
zx9D0yR@a{WZkkrImSums*3#v_uDtllwbt^lU2DyLW5NS2wOXtG&a_ikUB?X#`taU_
z(+Ad|Gvm#bw5=bV4$#m*oMo{r)|Sy`vorX?<Px=OqFL8U7Y|XJC7JcbM1$&$|JLHC
zS!A=*jmYvN=zLG@N-48*g=bX{FJs1;2&*q9Llm`A<;+DTcmm!>`?0*)*#T6DgM}XE
z-*ic4=~rH^mcFUrYU$RB<^nFSb@DOel$BM={NZ24?Bb7$Rn7Xa;~jd(*Hv}1>SlVj
zL08bl1MmR;)Zcuwq$v;WuJWw{4SD9YA8MLk=%$>nWp)|XQFWYF5?EPT`!g8N;U!Gn
zTG!Ro0imv@;*E?;f1M6DuhgrW)X<DWE@m~z>e|={vvY>Bt_W#j{#76=nwc~4HnbX9
z7HLi*Gn?alqC%AUxVrunJC~#{NHf*K3;a~$R<!vz=}^NGL0*nCHznnpo5zv+b@>@R
z+0q=D-~A@~lEPKyM7%$(OUlNWlY{_v8ce3eAp7JMYXph8jk29fNmjg8^&pp9qTbzC
ztpOyq6(roYTY1HJ)tX73ZO3V5`8H;Ab5iLUG_xaSwSN%V@HsU1VVbq-Q_OY&%#QD^
zo}}kg^BJL!W}jw`1f~s`j`4@|+zhiy)0CO!Av8TT%RJFU=6z?$!t2}0<op*fV*4H5
z60O}FbD%&9A6vY%{JCaC>&WrgHP4L43`%KJ=9_QnWcC6&>bm#0a@*)T;2a@=+vQ2j
zbp$X%HJqDvS!`}ancox4p5#NawTkxLm*(~qslNs*Yqce29F8ZbDTSWe7fa0(jdH%r
z%o&tH<Gi$`%grg2@gIz-<-WrFj51WC=CR7$+9;E;+WeX_MN`m%F>B4^DMOFlHOqR8
z0U<#v++dzY!4$>fNw&R^e6&`ZFtCtQe~UR-7LrNJdO{|BgFOi}J<Zof>^3Lj%{D!I
z_tY-#p>9lOC+=FOeHf!)P}Ea<wBKCLgcsmA_1A2N%(+Yo9itT<rVdCZEB1qVbOhb!
zEFXW=j1&H3*7iS-nX98X`Q2ai)Phc!WwVg1g`YNWGLevRI2t@Ruql~#4xQyaUI@_M
zoipR)3#2=#{ut*v?a!NIIIk_fV6JFlS=!-C=2JTQ)fGCunpLo7;YGYJ*>w$?s(WLM
z)xB=6D^Sv%6wQz%ZR8Cz9!e>%y|{@k<z&t+^b8|+-7({YiRROzaqaWF@CTQ9bI+`B
zQjNJ+O`HF~jHh3w7)S9oP5#M@r&p%9@Mk)<HnkD6@HK!Bnehn5EbXA5$bNWaZY)sN
zLu>!oj8KM==l)}!qLYK3(xx!f{EX`K?j-6b#=kzt)OpfL3?SoPn70e92xfu5`Z7$?
zy1X<mFq6US(Eh%ujmXTuP-XwE{M>QZf6aKr0q3E$`P+;~a7ONVMVrIOMz77aO`Obr
zYhJITb>5q?uQ7rDd@zUV0(Art$9N3AV-m3kGIEJ1j@QW`Npu!_WEJ6HCZO0vxP*~U
zWf8F;Bgd8&v9mC;LRk?@HzT){6X6R+wsJSf>mG(|o|lMoXeQwB7V)l&kv^3~UmfjO
zS?r>to2!TjnwdboY9e0SEJ?*7IX=Y5A^B-yfVQQ&*jk{ZyC&2Sr|RS)yNIV;in6|T
z3l#6`Ij?JqS9J1jE%BaC{!m9GIypK7EmiZ1vhab2AIYsJCaEvi@$=s&^~A;kI1jBs
zn26UUph)iqB2G~2i+MZ)>{3oy8;N)%seR3i9!;-IN;ejh$jgU#Ly+BAOvLj4(Ck5G
zt+kZW?lgfe#%m)ZMY`!COS4CdYjyHgGjXv_PHQ1{<|KJ}(_Bq6wG`>rK?^KvC6>W!
z(!Dsf#+NAGB&;neEZVOhU9W2^h6<GR&>puFztPF99mI1w`9-XV{eSFpGk@zfX0RtA
zouHxn3v4`P<Hh4-PG4)pq6$)^`fjkFmfBf#7s#-Fn4yak!~jOJ8OL54YQH3k*iDh`
zu661v2Add3ULM2ipn`59_Uv0x`dbuy6B9``^*~KpG~T4t=qX}=gLKyx^%BqP<mf&k
z;wFYR?I&U%W#n)D#jz$%jv6RpwP$F+AQ3Tk^=~kfT4dB9A!$_gZWvOSCSqj(>7kV!
zj9%j8{vmXXGZZ0>KlD+7++iYK-7vD!2+`d{JkCp5^mCoj<iI8VCP53&#%Q3dhc;oP
z_?=EB<cbJE7#cZBe5I4E$A~}aWRr1p9<=)c<6@dpophZ5`<@q?`3O5TK^!bl)<bJK
zQGBVBt@Fjdbh6`TVwQ;uoSs5$WU^V)#QHkAbB0)~qhn^$NzDYzv&D-#`KUnrK_`#T
z5l`sk@<I_iCzCChF9zz$jxG?(>f}$0#0Z@X{!(17%ijLV(0gd9xJyT8EEA9GWO5N5
zY)o(9O7Tmbys!#=q%L`%ML%}RTR4NiOd_4vira;n+Q+qG3p4p52CrW5`O|pvMH~HP
zQ`{y|F;Uh-JF!K?BFo63+r+y%*=vXROecF5i;Hyf<2Q7jW3mT!iFmcc$iO`!Vp&EW
z+$)~d$))>Y0!IfNq$?#AAi*cZQd-r+hMFIbh?{gNa#TE^lY_sfu4fuiptoMnqEn)e
zP98Z!JA?_upQF=_k&l0%^PiEQUNCH`a7jdH%+L#$vAS@w$5pYGuB`An^(+(UaZ@~`
zlR>w{t2$Zs4qY3Vz{a~qtA^hft8xtlZ)0uRs)r)p#4)McKa2n91s*-33j;&He=P3R
z$$3viJQ?9sn|}|YUU;j27*fuJFpGU6(tZtsK}P+40}&;APl|8R#*wo(u~dwIE_M_s
z>8@RQA#T*kxxb6+I7tu@h+5pA;v7Be$zS3NC;7KnsFSn*aSD*^NYSE&zM+OwwdBq_
zi?7z>o!H#Ot6B3wM66A-zMW*juGFNjGa$@1S%wOUJcN2@vZM<_qBcmhY(vTera%b=
zghchoWlwFt)q?LE615IC3&OKR7M^JjWXmwhurP99Y0GHJ{2pNSB*`<alJ>HU1(Bbg
z-M*Y<BxUMnBNRJZ-crg0X5K19i%&f)2!s>0K3<mZX<FUevXiElD_Zu^bgqx3G8Lvl
zw058h)2X4#rN|^HF$g|)`ZD9V)m^Gvu;|pzLhQ07D}dapVM!uov$0WjwOiT=lyuiN
z1X!@eGjd2x%VnL6t7VX(bu8#}Ch#WM@<=CtuWPxWlb1p*nofRI-!jO=Wy>_QAS7YM
z9E~hk$Qb!C!ZKecS2nR=@n&fENXtA<@(A&5lm(-eWi4uE!8~GQpB9#Gy7EIUE%-=+
zp`L9lt95~sZ7sWXbY2I`VI3V5Yr%5IWZQJIVDd9k=xmv(%PvW@VEJHZR99-WsRyD8
zd=i;XKJ<XIzV2r67bxkjo$qc*<0QE;3r`2hJuMi+ENf3M3wC2hR_bFJr;{uDS}?U4
z8r|Q5)r67n2UxHkF>>`li`m4<-GitX7}_Vzf-Q`Zw!xOEI=O6!C6<#U`H0n`eHdyP
zq-Tv(FmQN*m&1$#(?(!qa5Ov%!;F)iM_RIV^n8wGw@xn3v*5svRoP}VhA$`2jIn&B
zlcUGcu44i|6D;L*Wswsx2{?LTl4Xxhel^)LSto-(w_w3y#kNneV3lIzsA(3gU5wm1
z!-5c!k&!bkH+0fI+wj)U1s1G+Okmj@+S!auDztp9lfrz<w>o)3wXD&}i3@3GbG^i}
zk&}E;dA->3PS28-SfX_@X{pidAHTMo*3oa5)1k)H*j8Fr>F9w~mVG)pbFJlsPNr<I
z)HQS2<(m!r2X3|er58)zZn>?KU3VG+p5Iuy>&5T^NLO9p_HGLvV`#<X{s25SW$v|1
z*Rw49EhqIV?;f;Z|7GUQIZTJrowMdFe8M}JY`dh#5wnh3LIuitXlIUD#^_|X<5)d7
zy5R&JJWQbWDOxEbcb~Ro=wySlbXqWU+c`s^`FYD1I(p}VWh^IoC_43$rGuVz_cE4K
zUbg#HOB<csbj^~hlVLaL0Ab2^-J}ZzBkSF=d~V|8cXur9Im*7Azz0s4gG^}QeM?WB
z{P4g+baLHK7H_@i`CsTdM`g*)S=P#0%U>-Cy41?YmPDNtpIETzGL4I$TE5_A$*C9k
z7N^Z~!%py%bgACITd>D4weOOx)wIcfTI%XqhyF7B)A?^h?Za1=x4OWK*M|A&Z!JS~
z^zJ*lA}|xCe{ed1d=w?=TT#Ng!gA6C$?2&lCJBAbPzd2Ufss2T2|+6(e|D34>1bzJ
z!gOZnwNjF^d(+EE{dM$8Sp!WiFIjaBpL$4W<S%udd$>0}G{VtN9Q%%4y))87>r_F)
znNB?4H&t&bgfeVbyIc`ggK_u6uGYv$!l?yvaE7wzytSg%xr$WZ$W^OK*hb^oSwx7h
zRK^5J`i-C#UtQ`;r5Ll{U&8SPbkO6A9(HLiWsc+uUfP=g38y7`&f=O94m0BUaf@Fq
zX#{21o?KKL&I7acFH5-AKA0QM_R&cp(j??C1IpKvN*e}*g-HS!Ej*kX0zF>Z$_5f5
zfq2s8so6`5Y$Wxj44Ubst&fm!hNCl$o0MRVH<do6IqY<&N0ju6GVDYsrJ2-*GR(w1
z&82yiSy3QW)rQ1KGbqCvY-%O>QcL{XND}}uQ@6L3hBE<rG8NWd%AyR5IKqxf)wRnV
zq;4#m1{qPYQXyqlWPrIBCw)N~=GV#bk{4~Tdt+!>pCIKUN2}F^cLVFnj!9B76=xFr
zyD<Z}y>UGx#60n2-eXGz?QBm8hfR93+V|$>Fa@Xk@NR&Zm)5DD6wkC#k8SNQA-sv#
zQj(?HG;N+DU7%^XRNi(}SwY*JCb^lNicb!a22qLN3~4n|IHH2~iy|Rl(+wOjoDU6z
zQ{I}G$@Obl(lsW%$x~Y~Qrb&3^vjhta}Aza)lt#{itQLJEu(Hu94Gxu`9>3@W=`j*
z2lv<3woQ~8AcJ@0-;<cPI5Tsy)RpG2k?`^}=>uhGZ)m2ek_06zbgVj^4^MWywrYlC
zq1ssw@1MyAf+ozCmeZ;+2IjDuoS(yL{pT=mYp3Q)C#b}{c~Wayyv|HZW$lG3RiKs7
z1HDR%c(+_!FZpY02%jD7sIK*we8@27=vPvCTAmGqUzbW#S#@;c<uBu9*bw(Ek}lKg
z{#b!!2I7+o(I@LyNs|qx`5Hd6SkB3{k{h&YsC*-pU{%fCD1FYD07R%YH?!f#4iZmn
zkvt3=o^6xjs1%&zrN!^y1C3dCd#8l3IKIR|=$LQ#`obpB&2Rb8W3#!NCJm;tlp#3I
ztgJoWEnN~wZVMbTyxc3TK%8t2)OPKY+6zLI_F+FYK8p3u^n=n&&^#2kAEsRu#Y63l
zN2DCeunxuaLgS+}m{!H47rlR6QYn^qQo=(+looJW`kEG4F#yB-+8Jpr82S;kR(KAs
zAa~y41Ob<3ya_okC6VjzqyVk#1u00Nq`TJcqJ(Xlkw09L7V2c)70IEKWv)qxFqr_k
zj)jJi1V@z?E$AkE#k1D_hylv84rk+Az^L1FBcP?ow>K^R+D~_+p}J_ld*~Ei>dk$+
zpD^8<9%3+ZvhUAm11CKmVKL!k@vqdiOm@+KBs_OAa`02SiQE{7li=*UAYy)wCKhGr
z&+X%%ONgeydT3i-!1tVN@Vk_XFKg*~zVQ#~jE>IuOR8z&0*C&l+aN3E_m6}VPDb{5
zgT<J5M(XEBq|-ZTHu*ggr&Mp>;lsbi+UEDt6cg#EnQJWUV!cA{9pf<(=_pu_tJ|jN
z?<$H$*C0hEYm(5HZDpjQ*}7fmtDQ7k{}jl_U(8wb#?p9__*9RmPD<8zfwCT2kel_0
zPQI~OzvCpm5}^H9%8G!R3C$>DMf}Og*5#~t24!S5cYG<q$s$kd*8;Jb;IZdp{K>fr
zR-6x()lWj&c*B}h?Z4jELK7MBOv=JlsY;}DWyoy#8>1z=vK1jLNDu8`6)VDZM&csO
zaGiYYYfUt9G}hmWCw?kGAnT@0wp;Nm0NzUz1FZ;%7&)}2HBK-4eUKHQAJf>fwiTg1
zBX88P+L#)Aa2sO%R7a=Ov$oOexfw=V%w!jaTM?ZzvR^|hI-HRY8(CGIoYC02SSRZ@
zwMOe2@}rzhAz7l}rZs40)PB0T6~Pi!L;C$JmDMK4P#Zlz$0=IXaUo<{D|qJJ=Qu!o
z*UH*VprpGN+s29~5=P!?OWVxIe(kMz<YMH94%PuWIU?42-o(-Pcv=+`_^Y!OkBN+2
zkZ7H6=49h;*5Nw&O;73xCeX6C^_4*OS)3;!d-qEGeHkvYWs&X2^zV=7_Ol)*Wf$pJ
zYSaz)vv8TM0f`@AO;XE0=BI$i23Ttf;5;;hnz%YhseUQeFF9pRg;5M!pJv79`!qLU
zuyr-3EJK~SYcs4fIM!mA^$@4ZkFXx()cs8Beok%8hS!;vJ~`HZIF*)XJ<h4<(dbo{
z`_CBb3r@WrXMMz}-zT8aEceYs>p4!{%(vd-)alQx2_}{sJk@%gV_ws(>o|38hIJCB
z`p-mXGC4%-Z#ng-!0O=C<T=*Uoa$HTY}@;J)*BrARki-b>v*=vn#`#IUs`YS+>T3}
zWdpyqda_)CaNS=Uw%nS^MeY|_`*5n$N{km~#@$s`iL3g14IMa}`lAb-cMXS=q5(L|
z%3Mz;3`lqF^ad*)XDLZGzd#(9v&s4ts};@4+)9UZ^Nl!Nz@@~|<l`a!8i}~?zzk2<
zzT06PU?NAyBOmt^r{Eoz{+cP`TPwnLupZj?yR3ic<f+|OJn{_J!}2clI^#4Ug9qbd
z_gQNRLWYLD)Irla2d%4+@_78gAuHnI48FAuI$}jcmBC+d-uTXnSWjo-j#&{`WoXz*
zhnkR9K550dmtJhoDRdJU7RfX|V?}I`q1`xZMKH;W?>cYo0*po^r0yHBrZ)S6bt}zW
zk%34v{xbE_la@G`|7TJ?l71CaHmo;)KS6F^g*zH(UtF`MnaGcy3jAfXTAc4g#@&SA
zj){0({qm;uHoK@9$8TvOp;t8H%Cq~Kao+55W?WfzGc&F<yOtRzusfM?CUzk+&W+v1
zL_)7(#@X0C%(znQ5@wvlE?}Zu3e79au3n-zy?2R(Ub>8T7nFQ@=Mp@<aEXN8wnP%Z
z6MD}Q9KB?Tgx;`>3uM<TQ9r#}8E2t?SL2hoa_sMEfTQ;-Q9r$0369>ZjFZ{5N^tZ}
zCA82Bm2p1oHYMyHPOk(alU}3*OK(xeiR=m`MCtuWaP;zIoRwXiM5E}fNhI{jBs@g#
zOG1)fmW;Ero04!My(Wo--jPI-#uIuw5~k6sk#U~vUSwQlT#Ce%%(!OkMr2$#yAFvG
z^e$vv3cCmi_t9IBaUSdnBrK%&A5kH_{D_3!d_+R8JtB|Zc?3r<JjPXIe>?)k=}kxI
zq}LpgNAEa-qZb_GYSG(`{<MYkZX+`3#l|=@yVVGn(kqPsyOICgwzl?)1J@rn8GHER
zCSx!Bm#$=ym^;>Be2*~vjx|zfMb_QHg_xR)?t*DdqV8I2dQtOep=Dp8P!ax1S5nES
zyH<Z8oe-KdAbajwWAdr;LZ)>tq&c@1bx@9umqKN|3%AjQ+w8(^b>X(Va64VNHSxTL
zK6DHeD(jpq<Gyp@j=6BhUAPA>+)pmt2N&*>&U%Hc29v>I3=}F=dh$#<ObeB2E}WkW
z=kLPVUARCOF35$e?ZO5B%jKiOy8p7^LS4A}E?ff_u8|AZ*oABA!gU?Y8%U>2q0+4c
zmtUy#D8XVRxNv=3xPC6&02gkc3pdDxOLO6>U@+3rMW<6?zEZ6utN6Ka{w|!|g$s1y
z=rE^B>98+k<NaSQXerO5bF@&Y?ZV{;yRda#xKJ0a&IYcA&e%dF#D%Np!iBkT;V#_3
z&0Gte;)Tkfa2Gbsg&XX`4Rvzb>W7H+WVT(D>)g5E5J~<OFUf2CY&|P<Brkrpp2s!S
zL%$$EjUY*ntZVTc_vR4-gYKmJuhwU!=zZ?^6#@$8(1Jc>@MCK}L?1mytQet9{ExM~
zAOvf3o>+0T6H6{XwPwj|8BRr!-K5J)YZWr&H|t@cw^r+!6_1O($&KfDDhMVkULdXu
z)}mfoeT8yuP)+{@>@N@?>8K6;-I`E_{9W0ttoHo}Yh8;Fqy1@i`_@ee(>9cL>+UA>
zBp<!pB7{05qJmqF8~vLDDA!-xUcs%MMQE<Qs_ceG)Dhb3s%}47geF>64Yyqa?5!E#
zmSYoAv@h$r{bB9SmrAy9p)}p-kkD-o3Ek$9&}|M0-R6+cZ4L?D=8({B4hj7$0!ZjK
zha^F}-^gvRC%zF{($Oti5<<w01h<85bcaK3Yi(4bTT81OT|2<`(hl}?dnXF9+P;2n
zZ!K>0?*#x>w1b1(ez6Emwbeu2>X?K;a$a%E7TRht!`$%xti9H0gj=R03?ln--5v^!
z$g(`QNkWoVZIs(n*^SOx=;)-CpX?UuR*n8m0I+nYLqc~tBy^`k(wp>ixFwdOI~_Rs
z7XXm7(Dpgp23H~16X5*N)ovZFZkaqMUYoqht#cVX@t@!Aw$?}Ju8qFrcC{K=To;nP
zU%G{qaig;oIzqKC-n+$H-1xSl)YcxFY$GeW(J6)8V6AUu+pLO0koKs)ZG1&<y72)X
z#uK{nfs58gceIVIEi}|#<k%ibZgd_2?xEcoXA|8JT0Q*C7U)Lj1<-D!+~>Af79ly<
zAabzy$ic!R2aApzEI4wo*vP>`BL|C&94s($u(-&<!XgKYiX1E`a<G`l!FD<a8z>Go
zP8@8QIM^t0utDNb0_g7KU}MC=hKPfW5C<C|4mLg<EDCb4AjrXDAO{P994rEIumH%x
z;vWYKe;h3Oaj?H5;b5VUgGD|L7Wg<=+~Z(jj{{K;b|(jmdK@h1aj=-j!9pGfi+CJt
z7&zD{aIit(V1En3!GawJ8vzdX_a7WA&~dOh$HBrJ2a9qXEXZ-N7{|fZWCx3I9CRt|
zit1^A<6!ZPgM~K^7Tq{laN}TI>|mjdgGDwD_GcR$EUa;`sK&v98V8GM9O&0tQ*9%$
zPNgifd6F$tZ8b>Y3|m$5bgHeIFqC9(uvH+w(`<H%RwRDYY;I)WG+UJt>{rtu8ADPE
zQU1&{TNG&PbXx}`iPLQ%LKs;w9XW;5ZRI&_cS1L&+k8R4nr;h4!s?HlVe<q1*?N>1
zF~epTnv;1mY>koZSOn<y3|kOr(P3+jgw+U0CIcO|%EAb)VvYkUMsO8J9JWBA3HjAw
zYapbMbF0y=#xreIK{ItjX4>k4UO3a%0tu`1@l0Dy(B)<^sHo89P10xCY6F@(3zepj
zA7<GikXUBh;)Hgj%WPXKd{MbzHkyz?j?G4U@ona8TQHI%^K3XsFR)F-*Nmj)C76F?
zE=)@%59UG>zKQ$^P=i94kW8CGA=DRvgq9>v3T;(DzdU90B9-T%eLCJ@9>de-+3Go=
zwMKRbAXb$y-{#}Yt~Vb|Mjf<+2XLCzFlWBay9#|uP}c7F<df+Olppqg@(KP>M|#eP
z1>o>K=4_O>#5Mgk|KIvP&bLXVp=$Fsw5rS|Rx>g!WWH*{`piw)qoN<t>N!yMQnghF
z?Y@9HqW%InTd!u=0@g%k<d-~q&jR=ne<NgpEdYtU5W`GwMbtu!9GxDq&{oNpwPJgT
zR#;QBMvO?wOydo?y9r}=??PtN4-1*C%meSa&MJ#oMHmwm$$&+y8a5c_F0%Qf8sM~7
z9xt*rLsFBl9_vPIHNcG_tZ_>S#t1%>oq;yqAh0)tkFfHKA*Ivp7TaopW`6j5F$Quy
zvT?Dk4w9>jF>dM+)0eh}NE&~M0bh?~eQ66rQuL**K9WmcqSktgzCtziNFAPZ`-&C&
z>?>Am*H;+i^~jU2Sg|Tg(4^Mn$bO8T!i_eOBrkz~Thl>aiOgRD_qQfHmq2H0a(@Zz
zZA~moS;9J?*;0%cl&0e_^alDfXQ{0c0F?G3%a_84R^-%DOp#vX;xWin{TiBjk=U;p
zH0x^&=3eB~*D$D82@@(T!<g(v$DucAy9~X+=*BdmYscng&>KsxErXk5iPv&lOC)TP
zWGsi9V#$K#wrC_5c@Fbq%_6uUmX{w~geJ$5`9&}ymRu_Ow|vkFECaE;IRjT<1jdrj
zR=`cMWakQaH<tXo0%{cEz7j4_NW@BXjzR{kg#8M)V9iSCR>;Mb=o*E0ZPiswxaBHa
z6F`aII2}EI6$X&PSCgZwY&9kNI9*VUe6|s7G_6LpO-X~*=(0dQzb33k#{}}(S#Ktm
z*Bz_jnn1c*g$sd;*1(oPQfrN^5t0FG;DJE0gmP`k#WnDHTVtSENX512wzj<L_G_WG
zEg7^HhPNei)}ozy&VZXXEBSFPI<&36CQzWvI$K2-pv5{!wCBo(twUSelfrda-P@D1
zJOSs8zvl|iH6n5AVNoM093>=?1M6)~k+2@Rw+>D6*kH3u^pv2W3im_j4VYO;ba$bG
z&$rqtlVcmu(j@ZR25cQkd{}kZh#pAdJur78TuF}>3Mz0FKWv1GPCV1R2@6R$sj~?)
zESw~5LYu?6U*>N@Z-n!O=;$W6B%EL|XoSRTGsamsU2-dsA)8U61yMJ{oEGHVW_Z2@
zZ~3GxHXEtB1+Hj8R&2rk(Paw;u};r0=tfTH&n@V@7JMP7u@zox!R_d?6$^o0>`OEk
zG=_{fIlUF@M+@qK#z@$z({vj~s7{Y4L9f`xMEM%SX(nH8J5wFL9jg?p!HZ1X?o?5U
z?Ap$Xv5E9-yDda&!TTX)AI4+&4rU^of65Nbk`|<J2S!y3a&QMz_un1Nu(~^$O9t+=
zMIw)xkhKr%Lh(*4#Ja7&>}0y+VpgzaF}z$-bZ+s#qDP9+ce-c(E@tMl4LRf+W-B}s
zLBbbfM%~|qou=p;^r4*`{0645q#E)37A~}tdf%eM>}2Z+n-7%|$+T}V1MJ+jFTaI>
z2V4Pvm(04mV6mNa-DPVj*|}Hh??!C%%`PmG&id_;n55aN5q}M<rk%9ZFb5e#tzkKr
zHD=9o4I|3VM`VlLShDo&8N1ON|KerH$=ztOozD*lmLa9~pjKyv5{cP^@n+}i)$l#6
zFmrj)9;Or)_>iCXV71hh`tQZwj8^Zp#UPot7b_o2a2;!}Es!_OpQN0GL#2H-chYJf
z#;~3A+lSeTKNPqRooeT6=%am1Q-%FZ1sfLkkDv>(_oMS*(SA(S4g0ZDFq%4m$&@~T
zxy!o7hr}PiL}lL8tNh{s)*k#V%>%YXB;^m<`ta;}+@jhCF%FXt+Da`tkN#SBkW~aJ
zA9C*?GmOy<4l%E1AF_3XlD&s)t&w~<#8f66w#9<`>M*t)-5_T4ABUN{utWKfh$GC6
zETU14F!wVzu04X4<KIHz+_V60TF7^-SzT^miOBd4Ll$18JABqjxMcNr7^}?bKIFl7
zY#>QTZB0saW3QvE2)f0Gs7F~njJ|x7b=~`;|KsFd$1ppY=k)rQ9mA}%)3uPc_TS#9
z_dQd_8j$%tGh_buw${8Xwi4RWFTQ8Cv+cajab})Vfg4ed+k&{X-bb5`W769RO!6Ur
z9A~a#n}5v{tO*@XFhiL4=A2;D0CSFZKU;xbpJ4iZPqOjP+BoVY3gWFfjoLS!M4#g8
znt3qm&PkNUCmz&|<xim^e6Mf{b+c?wl5+|(i9r>}%2QZM<H>`ID0b--mVkH~42K|L
zc7&bAFpTFbd*9Pclr?tNX;uR|&5Im7jpaaB{hZTG#`g>+Ks;%32FrdtNjrnxShs2O
z88juHT;vdIozGdOkQMB7mNkXZlQ_;~cARDQF`qp=i*+=LxShl7iXv@z!j@n4oUM@*
zMHiX?l8Eq`>^f)jAd?Sc+`m0%!&5)skE{NG@rlm{sE@k-0Ov%J$v@aSBRS6#-}AQi
z;0B+^WQZc$&tux-TY~dU((eLhK@=Hq0rMq_chA-f=nH&#K>OmS3)mu~_|oHd5yMEY
zv-d?bOs8jGM8D|rhc2?R=!E)!JTI|25a&mL!~X6?3NB%iMe!~C;w5xL6nS<Dy%a?%
zUuJ4pXLY7@cRGZ<$+XL;wmaE;8MC`PZ{?fIa9MX!{R(0!9U6WG<GMRxb8pQRbYpk&
z-4zVE?&QrCTO>)EiMl&nwfU1Pl$v<eR-IEjuEKeP$(5^6HJEF!ehu0~NxN(4=GtV!
zHH2Wb$>wWNR-62M4K1ooJg%b^wMnz<u)H==u4C`2O^U9=m9_bL{>OF9+1lKPh=~0`
z!?Z{wEXrAa1CdH?a`^`Oyf&YyHEzPwwYdcdxqLxSyvdZTyUFTggXr;1j5obR^&jEn
z+NA4`=+9uH{s^gHa)c)@e#8@IF!8$u4Z)=2Ei@&VOuB`qPl((?xnT0=EzI~}Qsp+9
z5=`3NMpJ@G?rqH6U~c65+qUxL)NS-cFnMy@)&>b1mJIKDhv5vEeg{SclTCNf1yE0)
z0v_H$*9MahcVI>kSJ(0`W={|qaTm*25ZQLumW0H74<-fCp7bJp?xDO+&o4orz6aBy
zd59<9hwafM`aV1!O>*v|UD4csd+(#4bg2(qD(nHOisnX7d%%?Jd;rHs^Ht#W1N2KY
zsqzqZ=}@1Cn3qs;hK|&SXkj#;5{Dl$Q8p#;jAkKk9>UgW-mv;V!Sm51`6p*>?Wl@l
zcsTq>a~hJmKV$5qlk}f4uF|#HKig6S9H2b=1rHuWN!>@b-r`V9a+31M7C^Q>vULM$
z{?#@I$^2h!laRPShWBGg51uS}Z0ip0_s6z&IQwYwA6qgGT^IkymM8QhWuDlwkxY65
zTl$g1Pf&4x^3M}=YJU>^6rpl|lJ^vz?@vxX#V*mGl>QA9zdz~7lj*-<EcGWRenau*
z#P$r;HYc5*q1*^Up23z8#QQls*o4GBM_vS(`y4HdAP1gf`b3bwpQBs^Y4QRaYy_F|
z!j>k|7ntPy3pm5{5(7Mi1iwVV6q5bY)|O{3e~In#hnMJ{6!P|^tt*nwzuVG<IP%T!
zFfoh#^E-xDB&qfXwu?y8_YYftBzykAni5G~{(;VmBvt=}8IdIRPsWY@6GI`Atosuc
zMv@CWdHpAbdnEDy3lU2sN&E{Vrv{n!7v^Mra`-PO3m~ul!a6yCwD_-W5YB2={uesi
zkqbQe@L!t(F5_<-!C8&)3KKVhG<yaACXi9DFenqqx>smJ0=e=EH6#%8KTM>>Keo4c
z(vNzL&PpbqzeXF9$>G<SmdWJFYZOl=HQv~IAQ|_@HWbhM58t3%2=RSu>nYMBYLfC6
z^QqvituAL*yoE2XyhUT`k#}#g;?yHi?=X_;kqPf$Mr*R=9a`U-+<k`@wkDqM(Iu@(
z_xI4+ip+ZtGkTF5?`>T~`ZAZ4`+yz1-3MC~XH!1d{K)DL(Ataq^ud;Zq`^n*8okKG
zk8pc0a_gflP3W~SMyCI-ks-J6XSp3O>@LWaNIOBU4Y_PVZp_hnf?R<d7UVWSEhf1w
zk~otbiKpo4CX|mQ-<#w{NZy*{cqARo@^mB@%<@qD?ZKv^+#1P5QEq|c08ieFaz{Kd
zx3|dANTyokSUe)1x5(`z`U<+hmuxr7-lUWy+eoA&_d_O;<a9g-zn5fxJhS>)<(Bl(
z)e7D1$r`IX2#K4UJY1r$N$|)S-A}Aa7P-j{fuC`cyCU(m$per~w8@=u$bZ%*cb5iH
zVL$pCEuJJ&mJ@-`mLc4T+?C}XNE(%r$06BPO74rN(o&`6_DGUS!;~blr?fnlKj8+D
z6@{Xm^eH3v7U?4|nN>!vMedc6`$Mc*S@}zj9w-av{!vzr;H4^&BTL1Kq-{AgK8X~T
zlSgy0r{(0zB%r)pN2o~>%A<juh*}=*>O}7FB*-0I*NGIk%fm$acuelO%N2=-2lR9z
z{XOIuB+ESD?oQ;chuj@WLr=LG-Vx<^qVIZ>-JWu?NZ-ekXP$Cx(#A^;=j;G4=$Ypw
z*Q7#T@Lg~6j3+fJz$?AUs0wm_k-pd<n<~gP$-4@&4{i;4dqaC7>E<m*Au05hBaoc%
zmQ#?_t|%uXnORW|!;|;kigGI??<>mPkaVpi4@YvS5_E?X4<8f=CwV>?i}a-lS>XeB
zUGtGcfSM~~@P(5OmC*s=q_8rY+JfAwEYk<+kCkQm^jf!yTn|aVDso%?yo*b+gDq9a
zcU3SpTabUM$Z<&8RE0e)$m*(cJ0wr5V*J@jt!i>0lFrp&9pe3J7$A0XzZxpBlVD#4
zX8OuB_Fd}>@7l?)zA}9X_4kwMV@{GE8fPa{{U8}nPWWNG#*={RXjMEJQyoo>Cugf;
zaK)2q{+KoKq?bSXA)YMrm%AW&=`VLc(zFI_i6^6LFfDs(umZB36=-Wm8{)|XJL-!k
zTkM#0@#Hr<`Zk`l3Sbp23}D4C1;A19q+%dCA)a&&l*5sH7RZWgfpQaYF9Xq(cv7pT
zJOoK$O|&+i+^dPsiziirn7P?OXeL7WAXeZ>5G!827Ax1Q7Bfk$#f-RAi?t!3Hk=ht
zvTDmoNRHN)`ylbHgJwpNv^p4HGz2CS>!3$>*1`CSA~)-xW21-^jC!L;t6;P`icAZZ
z+jG$!!I%V3f>Biz2@H|Diu5xOk`jW2s4zsXf|zh~2n^^>o`#^x?xaOsnA)9;tqU8w
zlkIgeBD<64bzxO^(zKr3L89dgyh-vs3BN#94{qsBF4mJ1IbMZqeF(gHsN9AFmB@gf
zB_FaP6tk#1c@QdRa|3FHVPa1VLtTT(t}tW{CVz7-v_3}EU^2Qs7MaH6YJCiXP!b*v
z=k_I^g=0+9cQ|BQIA++xa5<K<?hVk&*aj$xsIh@ONk}E-8^ZKp(z&7BL=2`yvKyk!
z%Nt^d1(OR6(LKQ=un~GUnDlFe5g$xuH^Nd8Om;PrTksOM8^O))5%6y?X&xc>kg1*m
zb4FUk0y4J=ULEg=kSikZVgy!|AX25V+zH9h#&Rl>vyJ6UBvDP|TqN6?$l1a$QoSig
zV>B7r6zgm>xzbb)MIuJZEk*hz4GD=vg(;C3fYJE#B63fT-iw6cWustYG-(!vE}*hF
z%4<FvZ^~Chp$niY3d?LX3693Bj3%?A<q=3;M`LzHlLpPO4Mmgw&EyVT;lyTg5V_C{
zLo=GVH%GTell10Hba`_I-fu2v0ZeQG7e<pgEzrD%<VFj*7n1rhusxkDh{3X!K~BYB
zHOL?pT0*1&Np6Ya-AGYOIj0AGrLUYl%3h9~N5WoqDi=6#*#NF^;JN|a;J_^dxXpok
z3?M^W!DmCsVk90hW~lv{Xa7pGW5~@`GJT=;3W=R%Kf!w$ypZ_~3IC0N=Nx#-<r}w#
zZ}0-HHM%Z_Y;BEk9z$NYmV*#Y`nQoQ`h=m50$Voy`Lw!uL)puncT`sx>C#5_hSbnD
z*hs_3tTu80l5K5dpZq!~qx^*mQ1L5T5B&f@`G*5<4d5LIJ{rI$$5;_F68`H1A_uGn
z;KqSc22h#<<qV+wG5kIh>h&}bFD_Ei04i~yiUCyRfS&<W=YX98&CU2PfCE7WP>Tb>
z6c|AzLO2kLq$fwhIMRTMuwPSX$bsqyoInjwFtst2h@eWEaET}bh~_{G29Rp)(76#L
z3W*1kZ^N_O^K7LZx&UE#I}E}Ia-p3Zl20RUr4yG*pi&G-<Uo=EbmKrz1L(zpz6Q{b
z12NQgrlS?Ny^R61<3O@eWT4&?sT85#awutB$q)+A&(V~j92iCc`hABooC8?~kj;Ty
z1IXjR7y}r~fe8liDFX`1HL2f(ylF3&MTBqb0MA5{dL1xS5$|`9D<c`!L9T&h4!{bu
z@&ZeG%BZ|7`qnR>DI>?Y{G$%CZ*^wgRIa*wlll>vSvez8hG&e&&l2Hh_LN8x&{3vO
zABi2YwMLT9J7U$0B-=V-CPk9#9c4UyEQ)1JEuJLCB36hbqhm1vBS}##D}6SW+4Le-
z_61lr4*eZTLgM7ANIG(ENE~a#OwO(2+^IN(E|KI_9Ib~`?<C`=ph!$7R<3_1*4(k3
zm`;LZ7;CPSkygJ!L>SszU~5vpA$|rAKjFu}vnk+t4QZYgd1<3E)AbyY(ZHo9^&5=J
z$kt&qC4rU!nw^s|A|)p$Wn3=xOZ9lx&UW#v@tN_gC)9Y^-jP{RDsNmieq(R&@RT9B
z)b%rresnNrE3*xtfP23zsu-G)nKvdS2R~Cdgx2vfUarA<sK6~_L^giDDkF~?BR8oZ
zJ}NU~FuICLwd~AH$mlHlRb|~-$Q71`SZ;1kZhA^i>QE}Ux-)a}@y@bu5O<ZH2m4gR
zoCU13LKr|wCCJs`^N<7tB{*VAV2vJ^z<PB}0_)Y22~6!1F5;dj+p96{w)C;t_)$yz
zvK2KNeyu+`i@B~#qFk{96S3r^rwnKQSwgF$A3-TgdHu^NKtG34ia4-}0`!Y0Wi<!Z
zQD6Yso+$f=($AojSUy#^QJewWnP5TL!8z&abw}e@98(6-AE{K@E$V{iv?D=X<S3C!
zk|+SApo{EQjTQWc7c4V8D>Y?!-PEkiJpA?~%8?yi(DHWV4o_@dW&dzmpujC9JDdFk
zChcp@Fkm;=Q;N^3y1d8Qk$zpVo3M)ZGXdogEs;RmaF_#~==#He&b(2H2GErQM~x!K
zc##tZaFPRO4B#vW&KtmmW1m!^OY~&}xxz)RGk}y!k`LEq9}qm|_*05A;5QDuFo2f~
zAb#CsUlTr%sM<}g&40({4L4Lg=qxIMLZxm7AamePL)Twic@0A%fJ;OeKobtUGK&1e
zi$od{(FgfX+1x;4c$roP(1rtV4JGfml8+P!q22Jw_k7Dn!U2&3RtnG~3&o8CJ*ZL!
z^x{hUAj#)QKaLDAL<VwTkO8D|V6XuU<$z)U!#PmOsJAq)H`9>F<`OvukarNDWWmp)
z4P-1A8E*iea$u4HOy<Dn1~8Qa<&1jE^LnQn5)LlmX-If+iHhID|J(tUI5Nv9Q^3nq
zp=DZAFIMFeeg;sT1B+-8Cb5_ou^SQrT;eN3VkwtcW&lO`90@YY)Z%4=DL_AhR6;ng
zm6l<^c3vcuO0eHl3gZ%csRRS|bBTinaF_!Pj3Nzrk;dQGbe3ttktjnXngcBuK+=0+
z0qsQ`J@LGRuR?mtHS<|jZMal>qgV$H#2G**4kQ>rA_tNTpc@Bz8bB`&^fiEf97r~R
zf!}{Z2KT~x-;2!Xg~yLxWN$A#Wl@vJ`Cf7jQmHq#TpXA6#=}-GlGYphPA^i>8<9aT
za<I1?$gNM~dWRT#hccj`{D@I`qp+Of_h?7)U-4y*{eN%_-eI(KEbXe{ytD`X1}h^I
zaY^QoWd3u%3z$H`zd2-3AK3#ZYoq!gN{J;a```gImOShu+w+;KJf=$dK)a9upB!Q{
z#e{?dA_pV`aO1!j!<?~P#{>iTlmqz`7)}kI%z-HeFqO^-v}uNcIJn4c11R9YTnZ>u
zNg)ShY6t^Lb3@7+KzR;$7=RZ83d-`I08XYqK8$z;-}Tb|GxtMhDI~ZbJfo0a{p30^
z6fY>7Iy@yew{A+#kh+;EBhu;ir5Z*o;6@M%&~ry+F$cnFolVJi{ScNlB~Ouru<WHg
zd$}QB#DIcQDT8v2pKeCM7X2|~nv#+IaY)&e6!%A9-<15-A1576N!S3nsYtbv&I9Di
z`LJgdRToIBU(NNmqSZ5?4QsN}&Hy@aAl3jnaiFsSBywOKRoa#+UC)(vr4kJ2#w9jU
z2@i&B<|5lD(w<aGMy%JKG((b4Pg9j|c(%r}DX^OZ`wU<|2M!s)VGbNMfMXmuL4iS3
z$4L&HF@UoiIBx(KzSlQ#iZr5Su5gjhX;T`Jx5?=8M#Mf)4$5cQH+c3fL;f}g?ooiA
z%PRLdFpDZ+Kmqr~Plm+LT;f*)c+7#P2JjmPUKqejefa-rAb)X@R|fD82i_XMI}Us_
zfKQI|4H*fyOyq!-0yU}aZX75@0eb4Il;%J=B>5aE&k;{U#ESzJ4WJSSsu)034)_^B
zbq?4KAb<lw22hIw!3Gd=ygf5Mlp?*UX<=NXfdMq+Kw|@F!hnKOIa#SAlT)*XXXPMn
z?M=!K!r1Fg8Vte;+?%8gk^?=M!f0N;1uIXM07v$bL2@KNxV}F~t{jc2)Y{PBh8JjW
z03A3GX8@fzkU)V%(mfUXLLwQ>6OxK2u|%S!B8*NXcT+K)6G{0rxlTSk{8oDLqJ3FW
z3iRVZvH=X_K&k<xabSo64CTNu3ee+jWjF`23?Q2WJLzC$65kx+>ujzelE+2H7{FK#
z>@v#i<^z0!A@M1f$Txt=9GGGNQ#mlh02~~cjU=C2Qoxb9hDad?R0`0K&6EWkAO^6Q
z14|5GDF=R_rm`XzxT%*6;0gzp8%2ta6D=Kwzb(k+blJZxE47-dsdLz=CIl3QLOlZr
z<3P9pG~_@814z@sc))H!dhuk;VD?U7$zZuLe~W-0kROUe+CK)%-W<S>+-2YpH*knd
zKM-s_M7Eb<hHPer6nKz%8L}4_^&mSk@EU8`5WFU7L3R(3n{gbkrxe+*?>3`h+j%33
z4d5FNXcVBI2PwNbu+ISYbKsBx9Ol4L29QxhaXw)u%ZK9qk)8ZB6g!cf1ZH3-vXj9X
zh#T-OgLA)T;0)AG>ML?+KC9{^S9HeEe3k>}4d4O?E*roV1{7GcbJE$T<jm%OS#-yB
zL-qzQe9HiCbKu@_jBei8`yBa+iqOlT%Fi75)c_uI;Hd%p#(@_G@R9?68o*y1cx3?p
zaNw;0yrYu>wth5_PfqYv83{K;<bc%x+&ECm07`S9oB@>QfTsa?aiF3BRN_FD6Zy_+
zs&d575UI`qy8#4nAjkk}aUj?LLO2j=0AU<xU;qs{(AWU-n{Xt`K%zO&!T@48(Aogn
zaG<>bbl^ao0d(R(f&nCQAjtr_aiC|uf%M`?UjyjJfn)<1$bnP?NaMf|0~pGIVFoaq
z16c-;&4FAekgDWyWQ-G0#&TeS0es2<W-5KDrA+34={wL25J6!SNe1A?fhkl+6ge;g
zVM`SG1&IffcW?!>dA4sRcEBjoIuoyWqR9A6ysn5M+c@_qlf5jfk%c#3_;4!=?>?f)
zk}M{9DU0Qm&6b0jGPQ+VZ9T(`Fm8s*>S1d%lPIu`${dBCo3FnB#${$RWoxqW1|^F8
zlr1+vQgI|6mZC`PNNmbcWWq>R?YEqJG!pMMqKJ16%WI#5lg}uUo`Wbnip<Z!b6*rW
zlOtE{z)V`oO;QY#hI5maQ<LZmI;Dt9tTKSr3@EVRa557oRNYBvF1F_GBq0|ERo%&i
zTvXqkY|6!p!tUfzE_<)%lZVI7?j$--uFc=tCFcEKSyvtqW!3dF7Fq7Nly9McqL|Y-
zl^Y>CgM%U>25vC8A`CDCGXjGw;*OSUV(uQ()XII|Dl*N?B`qy2&Fs^()G~d|>@~|b
zTfX1D=V5&OzJKO$&pG$pbI&<<zt1HE_r)qgf~r*^8@Q0ozCyMzV!IEqgAu!Zh_@I~
z>qETDh`m0<K1O`tLmXhlAs^!KQ69dJ`Y^|s<+u-Vf)OWuh*OL>?L(Yl#8(pGk`_D1
zi1R+g1x8%*A--kA6@Y5abCogIB#Zio!ap+N-xASIO1;U5pCw|LMBHY?Ch0nPlIhvP
zuG{8A>|n$$AL1=WyyHW>dk`HQTE=@m%syt>??W75#6ch8FeC0rMO3-JvLe6x5ce2y
z)|cfRXSwV{TxG-$2ju{xg#5^u`#vFmDj_uuM?1?(9C^>m)m(+MVC*8r{{PW(kdS%v
zq$M6X#)AZa`Z&+yuMjmMrDa~PD++6QY{JVUSkJvBRUu8H)t`T|27gN>72=UYO3I@E
z9y4{WLI|5_C_uF$2QfKBk^R6U7}3CoXvB!ee26BDc*2JWV?;9_B7zakeTXPV)b~{-
z=-4B4zbd2|A1wb}h1pEIF(E-QN+-b;Z|LK0#E6bQc`+>Sam7I+$6$_arWydQR2cJz
z`vgQVqN`7Ul?Al$aYQjkv=7mm5k?>4X-1fRh-VnlP9ltc_-T(yna5&N-$-d=vBWph
z=&?A5G18i`m>3!9>R1@xNcG2|qc&1IfNGU5P6?`MP@Y%lEOur)$2f3k0pChu9roEe
zEJDQME78g-*nEftMkGqaNU2j#MkGswJSX?`X2c5$Q7tj4jOpiN>CcD}hwAd=;4hS$
z>qF!-BHfoIgR>0sAqF#Im=7_W5!pUO4*rtc6nQ>OKC=|~5QU5w=|dDT!s|nnGNRmv
zs9;2u4>5)j<9&z;jF==VQ=m*TnQK$+W0}k>FZmEt88O3$n8}FQK12;8=K2ux7_m?x
zsOtobcvdQzpspnVMAGF6>WYE-TTBdTK*<wv9mYx%Cx*mlD!rDnh~-iQo)p0m4<lCj
z5U(?0wL~~2#~Mbgla*754P3WP3PFt~g|y7f1Y^zP_^7cIn}WISB6r2uXK{4tQ0GbO
zr6@NzJR4ZlW*=e;BeqLKC&{sc5xXTKgJw($X_c8R@%#xWzWy9riYQj7P3n8fnxJwg
zj)Y3`>d;#m?fb%#nfc?(n!pMNwmb9W*Q5VT!WM5&$i~;>y&0r1khf!jly@5d<n082
zK@8e57|tMzfjqwli#((Uh+`m6&ykWR*#IvvkVn!;$pbflR<f-C%A+-afehri8d4(|
z3}BGMU?_uL4CJ8{IJ+~DMnUQs2J##PDY<VCAotY)1~cfxph$i%4y@dK1dtnj08cTH
zn{7zRO*H_y4F({$t^nkA6hIpWa)Sq{cm~fh=*u9Vf!r4Xi`<X^kQ)R5Hb0DUfN~)R
zP{Kg2p^%buFaS9R0&p>?ds~20a;yhU4w3+Jcmt4~J%H@y0G?(bdo8327|3>jl#Ko;
zKpD~iGJ*kQm;%UH1jwN7Q$k)1c<j=Knj^KBri6UG23K$Pv<bz9+ZjK$39bFHjS!7+
zxB70Zh@y*D5lqcHi!j`s>D*a#1n_hg(EzUiG?0<gH)~N%KzU_>ql~&+#pAg8d|Gm3
z(eDhx<3wxRfKG@LEgQ&aQv5x<m0dbBe;fr_#nb*B5oEaTB;@7iU*ZH#gKNXO2s{m#
z5HEsgbyv|8=c4a-6&-M~_vfyn3oh%LEFub^k44DqvcthrAD67+5E8V=B3c6Xj^rq!
zuPmZH?yjO7GeC?L$XwdbV6+uwsZ^wYEP{gZHo7Fqwk7fMms-Y)7Idqts87l9qFudq
zKu1cA+tE_VV4^+oq7}e}c$mmU4ZDe_G0?_!6P*D{yMe_>^Sg-{24Qrun~12FN%y;n
zt+4b)8`x9m3!8Wf;GPZ2rjRK?7y$+(h_(O|5@6C4dOblr875nFjbC1I{vyxbt&co1
z10f9HNuiUR<@W?7C$hT|kklQOPN7i@Rxt8Nclaa)k9Ub@j5=}OD{(cAlg6ms^r#d*
zNg0i9D23vCh-Z+;(?eyQ%c*@m#IsTmgRn$Zk?x7&IUq|JtV)Ceg>*a-Rw%?j=2oe&
zo}xKYoqNJ{h2-d|XfO5@t((h^N~>MsHd(uxphT~;EKgk*Nua|$QMm-V(Gv#5qX$WF
za{`%?V4Va?OA;*rij$y40xd~`qU~vK5;)t_xg-%8A-g?Ic7yFoc3@9unOoLx5H;=v
z$ywC7muQ<H`#_Dc2Q!BD%Pn#js9P)8DAm!Em>%+g4l=#bOErNby`V!D-C)s;l2O|%
z>YA(y%1IXCNKHr<&EjQetCd&4^6ICLEzb4g?gC$=8hRTZ_Ap5dbXJwQE1XdSE9LB`
z8=X!TEtLpQwqz^SH102#Y*7Poo&_ng<!L31V|q~c{Cq_PkvjAik@zs7UvD^~m`Z!2
zwZ+oQy+x}q+2v~)kE)EGL>X<dxaEVo#nScOs7)+2OhGe>rPvg-gIF4pqL9@oaCR(h
zX4)5wyq6*(;^hdUN$t8rc_P?e0!QFB36zyo&s<rTcqWD<dQ0S*K&?R?G@uWx>!_{l
zBjW3+p->aG8^a_5CZu~sMVULdvO>y|BZx*m$Yj5CCswjL{1L_n*h|X)59PR)1E!M0
zYecGO)=Zc2b0+&|ILoC(>YplFs=EnVf!{Jcls%ClZ-+co@D-*D9sOaAf6xRZdUZ`v
z4u)C*H<%9d^m5}ej5JS6HCSr&+Zw&6)8#I4^OdVaYMh41OQdJhL^Cy(YRraR%6b8*
zPMquUDC;>VozRF0{=G2I(BmIxeBeMQ&H+d2DNisZIMG|?Eh=)9VIh}DJJZnS6X_I}
zelrd2axew=6%i3~2-lRbX)@Ei`6{~m;QA3-HQpQOE5gI%Ag?iwP>de83`V?D&{wqT
ztfS^@Vp59b6(Q{)m;1~Djg+Kr4}nBK^+nY8p$7dBw0$V1pNQ_N6IHG84|L{v%Mb>h
z2Rh7SQgC`j8BUxl%ivuP&F?3gb&&H8P0{_#<d=k(G1PoS!+)sZQ)SF`p$q*)RJ6?I
z`PVP_`IM;*K#kIQ7mO|Xi)J{-?Al+1w~!MWP25#Ym+oZ+mBpAnB9M})qCdufTzaiP
z1}%JY(I1U7oqq0*PBWbv4^XL?0V1lIocw5V#_v{9;Gc?FCFV0!G5}t)(VPLo)XesP
z?W4DtEv3Zem29U5pv$n)jRCNsjT#LUZNhcjSD8D&4es8OeZW9Sji%CpqE)z@D`|!M
zy{&~H3disoO<M<|Uy7#V0}%t!^zVV_a_~KKx`=M6%k>!N3Y98%j7ltY<{=oPDI*<2
zXEar(qn^?9X1eGQrORaHOd*^pX|$tA=DCxO64EFv1HD-q*)m|hG%CmtQC;L5PSf&=
zrlo4OJfG7j*WOY32Xlk&UIdwTI*@_pW~U1oFuR@p&Jayw<P=cL@+W5r(A3sZ{$YxL
zhFTuj=><C+Zzq>s$(hMulN|=P(<wW~VF<Tl{$ZyMnW(v)hG(h_RhclJohVb~+rz1^
zGeuNuU19BNmF5jnaU%^wOR77!Of_3OMGjKg;|F09Xs66UFc9|r2B|vHAePDC{2*8w
zN(@pewH~ZEQwA$!(O|{-%3xs(*A+X9iwzj)R9!DB0={NCh6T*v-@_rDYNya4=z?|h
z<r;lJCGIYQZW|)P^z=70dWIX94?rI^L_|gE@~>xl{r+WMms@tvcG@-sJ(Hb|4-w&d
zNjo%2y&P`o)+Ixg1tNxuHqCYNZZcQUKxcuw9A`07V9rowiD^SIYT0SyP|Tz3be2<p
z3`Kz3DQp<b<D#y^&=a|6*f7}4MU#e!r&`Kof)*;7?<yaK_Lk$i9ZjhSJ&KDC4}*9Y
zT^|NNxhQzJl4KsPko}R0k|I29|AU_ry#&niu-hgj%pZ;#yJ*{R=;ERi!<7<04aYRf
zMNed@ROc)-SQlk-s)|!fvM|24qk|Hd=vEe{Hzo=j0r#7z+X&I7nOw(c%17@}%KLLm
zGts0Gu%C&RG53KH2vrlEAAvfU=>7=k14-F1gNZEJsEUblvPD=^xfId_E@Ody1Dvpe
zndXCx$@Zpf5gw=G+Q?j(>=e5zDirGj5nGrT&^=cT5@z}<8<jOv^Bi<$n7`+U7GXMB
z?<#hWLk>A+^5(!IW_l$@gjsY<7g%O}M0ABi4m~>BC8lAj<MQUoJ%6eAcRAt-eJSES
zX(-PuE~TLZrZCep4iOfmlN76%YC_Try;V_&U9U@u%6Gt0W}4+tnr(2vm}WZWfIrN1
zi;;$0*wjqzbKz=y<&q00n90M)ISh6%IGrn6M(B#1%0&jItKBy&N2yUB0@_G1d2qjx
za`GVANH66<2P19BLl<PE(|K4580pb`5fi7j>39tG?p47M)Yn^~rqp;C?}1lFGcf=|
zi+c<xRFaPxSZPr{3b0abK1#LH`FxaPUE)NvTd9>(k&-x7;6&tFX&!?;j6CmzQLOZb
z6GpL8GndL|btzdnE=8+$Ns+Y1g&?rf5trip-i6xXdzS*m`8<Om3?>%9IWe@X0Q$wy
z0f~&Es|6T4Vkoo_%eX?a7D6UgIE6qK(#%2(D2246P_&Ge3ms3~9sI=bI;R1;K(9ML
zyUbZy<d9oGh4d>J!T*FC)hnbfZqXuEt&jXM(xK(rIip`u8RlzhaibAxnGiSzl<WbZ
z(JO8d9wS*i17wl!YYbI&4AT5s<^y$7-BK!j;}%WB^}<gu-M<QZVUnS-2Q9BXwe^Vb
z&U(Ht>y#*g5(8O5k5iU@uC8=RQR+>AjE4%js1-7%gbUg35l!Rt(yuZ@fcnISh1XT!
zT3x~A-f|^=$w-8Gdx{t-ns!k(7%R27&1^wqlnBKr?W1US9;Qj{sRU9~1)1f)S}9d^
zrRYrfr=B)cW<J0wTmVqt26?7S6#{rE=0DEu!W6kZH7bIm+fye7nE-0d>RBL}pJe9x
zk~!OpF9_Pxq9RP*RE-ozBy$9ml;g9bMV_|wnH1EPeknqKR!pJANEOp_#fWdL^@<VS
z#pEr9_ljv|F@m?4wiF{yi|KSR;;xwP%2X^xl!)e?)H+a$kRQ1mzalwxRnt6;uz$B|
z*M6=_M5m34OVIjl^je8%+F8$bl-Yuc5XR4zJ4Zb%<Wr_Tny)67H%l-K>ocF$%BYa5
z3T(}IF>=_*>cte-Mnzt1vfxD~ujmw^&vcnH1-RU0a;avc+ng=5RK&K>Gv3lv!`V?m
znX??TXdC5}q7B<<TB&HslUl8|e=x7VOU(#u^kJ!J)>I1f{B{RFe%ch-tM+ki^egg1
z%oC$T^M`Z`(<aBojtco51zxEdh0Yl>?@@|>-YEFVMmt6!7?kj!Um?6bXTpxK_U!;3
zv>K%>5nP5&$wqC;MDwotnk8|Lppwes0<Zik;vvuV)|4oybjU@HjV6_er=s-v2QWu4
zO2kq;TX~HRl_5ef?MIni^vpS$IQbcgbd#=a<T0tfyFA;8Zzg0}wsKYBEC%Dt(Hq-n
zS-A+e=rfMzj6uk#ba+_o6s87(s)h}?n8h`y5Ydr(ISU_f;;OJLzi)*y*+>AZo^vg8
z`d6sQqn@&XDWQ_W+Ng>gsz3{~(GLI*xp*hD2e|VQ@v_9$m6$7`;7W{CHma(`uwbKA
zmCBeORVpFZE744&DP%PIu4rmA8c`5Uy+)&%Mw4f>qRk$Sz>KCHoceq;WJc5d(HM>J
z551~DOQT*@DpkZ_0fTp|P!PU3uEH3dMj>N_=>@gC(c*d(uWufW@3u(Yx~c0|D>QsA
zJgVm($9VsIul(F8jV6sjcaug-$EZ?17z5{~(KlmIfi(JSjA+?OpLwn()QuiPk6)k(
zEp*83IsCJ(u}bL3v1k-&G-s@66QO5c!|VZ-CHZpFokk~_|N2-F{t)ACjS(SKpctdZ
zDK(SF!Ln&Iava7Pz2Gy<A5>oHa=G*5j*_H$&ism>uQXXWbCf$H7TPxs&a%+Caj2_>
z?u~<&EYx&7RFHfBb#{DGTk_$Xo+6miLjA!3#v%qY$D@iC+B9CY%Ft))$k_sm>hkGC
zKCg+y%AgG0raqfR%ce+B-$GFnFtd{^p1))*l9{2t^8rWJ1au`98Z!Yc(Lyu<p@hm!
zz}Tgi>{J;&DRQQ2q1zMSAPa>|M1QU4s$lVcYJq1V+eF1SWFn%%LRAw*^Kd=)OU&(G
z>Me)c@zT;nrO9zf?W*UisZ$!a%bjwXttT#KVxY6cTUmfE6;+;u7H*;VNf_)blsQTH
zXY?fHAL3N)Bm{tk&U5PiBs3;``d*E7wT05Fv97kz^lHVjsaib!kkSV=rMW-DYfRNj
zaD&Opt!*cxJzFSkvMRKAveM+`$x76=$;z~+Co7lVos7n6q3|if^pN~3ntb)0CDv=%
zQ{We@52rw)i&jp7L>KLyf?`~Bk&%B-K}}us<co@>^NUc(MT0pt=0%k4qSqMt{)?h%
zGquXpntwN5B>I(jtK{PF_KWa9I|_XXm1#%Dmryhwc6v#)$dWfz>SB5YX9_H<U?ugm
z)l3UfgD>{bWCPXH*J*UsBrEyY6RXOX&@S82buKqxs)%Z#mXn&6A91Fj^0CFmPBj<6
zOBz#QMiaTF!V)H$H5J{tKFfK|QooG%&$Y`Xn!JmeJm&){eK!@AH7%J2`<f_n8cd1z
zs;0plCK^0V6*Ug22z?pNv?V3h{-vm<iFQnb-Ar_18sgnVH>SbgI3SuXnm(`3_B?0v
z%gY_jYI$zmMXQR_7L)Q28r#`YUe<JMfatS!_hm&7if0U_i?CQdJz1ld$>pY=(1!_u
zmD)~%i7r7cX!qags=`mqP!*1yA)>?e`3gCoKcXEQAttJrfnx$a!(wKrH(stux6Kew
zV2OEThG-e7R+E~&f7ePcFLV~k9^OoTGZFn}GR+i`UG$vcyzmTg$R#`&by3%xN%aeG
zbdX(%DY2QVXNs_gvbSa)|MDt_WYFa{G9{?YIa-?$;e`j34kd2QMDsUO*et}LnQXJr
ze6Yfu1=kyC{45b3t`@UeRY)tL$mxQ9M%u}ICuYHZM!GpmM8rsTPug$z*~rX+&T@Qk
zE7^UNElde;*2%HHESg#$(06I-=3{3;?l*JZx(4_*Q-hs4GR=nssId8E(X6>%<NeHB
zKhIH)do-AT8|li+h)g2|%@%E=^sGlUx%t@s#%8+gm5nrTHd>gGDrduEMp`}_HZ#(m
z*=Q|BIyW1uRK0{tEWzJd<i_{Jddg*{1UNMkJzJv$rq^IvWTXi-A}m7Be@o-f!(JVB
z28^_$2CdLYU(|?J33|rAG^O1o9;fyxn4bIy?=Xa5#Ct%em^rHOp>ve8$InrsSIkkB
z+BZj8=R0Pp|BBMD{VQs7Bl{IBJ&ZK>7126UUrHw~B@mW#%PVMjI|D2a`N764@?J-&
zLmnR(>9M&8IU{wMivWzFytybMh8A#Y-&_%kgVj58(SN7Vlk-q+3MJ2jhV98U58H~d
zv~V6O5led{4Tp1*W}~3_YB1|KUqr|8UZuAb;j>%Ys~p5%gkx@?BOYX8Ku@Rqz#6-l
zbLPY6c-n=*>G_zly6FCV6xWVgE`WJ3DlAaP-(wemhKKGJsK#?_frzF*=8I7JZGmVA
zeBeSwer_RjGgI0^<Vm5)40bQXc$-4sEyT<;g~TG2>bgj!oQsezf#xhi?c3ANMXK7T
z82rqj!D8r`MI9F7nm`uiErtuTXxd^}CX040hN^LNj=|rHAv%tpSpv>jyg-grEY&O#
z@(H#hOQ2FL-D6r?QY^y>E6Z4#PpDKZy-QHZL01ST{0<6ViVS#iZ7H^V98|p&dOB!5
zr_M1g^i{ZSF!gv9!Uj{tt8mX?TJtKT^r4flLNgEDeHC8vP>W?idZ^DbdALb4mx-<b
zhn9&>_}1$8We}ZCEtbRF>C|&Mv`(k8<%q^~TD}~mr_+h$5RHGHw;Xz=Q}k;JneiG*
zNT+d}+WZ=5sr1EbxJ8jlVg)LlN=YjevS<aYn@aOmAYUqdxB{Y6>Bb6ZHiVk21kFZq
zE77mvgN>DtiFG0)-&_f;qv_L?&@7t%vl5y`Q`9POrcuHwxGIgZS79eDjb^WcJJRUg
zRp7+3U=@l@BmdXcrg(?fQ9nBkc^zY>ohn~P@Y`t(BTu{zBirep*Wpw<wR{7**eU4^
zC}^jWH$<Bp6}<lPMTAA3A2@o0<?&QhclkVpx^GjXk)PCN94feVbWhklbkWV2DpckS
z+z)WefzCz0z9FI#)MmP3i_(NBwj^zCriK^R!Nl}XE~JiuGTwxP+R@ZEQE?M(eiNoO
z(U)(c9wz#mQ%|pkHB4k*4J4kNT#bsGY3FKG+)Sre!$fAfzZ&*7Q=2u4rQaHbtXczM
zMtWlnXn09T(u{O>jd&iwyjCGI*TOSKnz|NB80oFGaDtJ(UW@Ejs<#d-R(fU~q*y6)
z9h69*m)5D^+$d=tI<pQ9ER}v=2VGLB>3Y<`P6_M5VkFmkVQwlfnAP|@Z~(u^GhFS0
zdE({zAb~cm7ZI`Q;)F(y)%LTneJ#Hw<y#e=m!$`~Fv*|q?#9xe>k$yK6t)2o<e;7#
zL{yZzBd}O9NAMki&@^v}x7b@&S}5<rIcVwzRNp~cHy{S_k0_7_;MN8R!ap|Hh#5{c
z88?DuF!kSvalH?X+$h2$)xoc(;7mSJ4J;_~=E?}@L#sDJ0S}$rh=A@ww>FA47Ig%x
zWw^l^aG2yCjZ?Hm{JrO1spL=E@ob)>#9QLVs}J(3QNK+XIHRd}6V$NNl1*@poepnO
zP2rbKP|8eVGc>i5X)|hJrIgJgGF;y3sx$FCyeWhm5B~B|58U^nDVyQY_Oxy@x*1%0
z*{u4=-#3eq=uPvsh;)G3Eg}`bf2+s@7`9cs0I+^5JXuJeZAJD%y0cZtXEi%*gF<-Z
zXdAk&1X{Wcag;!xZ9_CBP`&LU0iefrF$`ekc61jBbdpo%9U>X2@*TpBe)pRl=(@7-
z4-!Qdu7P=XLS`|o*a;<y>Bdfx0uZxH3;>wE3rZBz)?MiGis{E)A`#%3-C`g*>gwH4
z*Fk4@i&B8(w;<C&<KIG1I%wTnVj@86x5WZDwf1c>7@*NR3b@}97F;@5`wnzTq=vOn
zB9V$~(eowNuCIlOkv#Y=iXTi(_J|yS%00pguxpPP0nqq8*ryL=y(fACy!jsLiT?-n
zo{+CDKDHOqJXE?D-IRw`?L};Kq2qg@eHRMcCvx#XqI(~TPolN^V8Ud&z~J%sAv2k>
z-xvJ=w!aTW@p$5Xl%7oP{bDG<;r-%8blAxs0GUo3K0y0Sr&AxG1a$2mz#{3??*J^4
zPU{W`2SCt=A`hVGL&!{}eIJT6fRKa22~c_vE=#4=2VtL7iai8Brc%)%kqvO-5Nc$@
zE7S-<Y#JVh2W*sf7-Nr(W*<glx6!u47$9tP?XY5LbOg4uQJ*8Ql8t5@L7>@a&k@|)
zv(fz{sHTlNegwDJDC;9w!bVF!5@z0F^>dCvkoM)huwb11L^(&{gMGOlcKIXGzMI-$
zW2QmO6e^h<B~jW&p$vScyP1vyBt?^(nbiL%qTNQ`qpC))A63d9I;yn3c~q(N<S{j7
z#UE2zdym0!Hd=WM(Qc!Q$1s*-d-h`m`hE--N7I~-!HI{|KSsDlllTOIl13vwfoMGR
z{E5g1_~8>V93b&H++m?*#}Szp`s_FiX`#CeB2I{2NaZoubOP<rLVurtr!6$(Q&<<@
z>U@e0*+K_7b^lXQh*bV(!UJ&fGnm{$!6$`$&adA|m6~-D4#!r*Nkor@dYwXZw9t%G
z2nGvXKc$q2{9F|@>T@(l3+?$Fez()lpNk;?DPN${cAE8t=<+zv`jm5mc-%Bm+W!QZ
z{N%K+-f7qaZ}^=?1F+Mi)4~pLhLPfoC`M}B8Bqjq?F>2(JBcra3!wZ<1PG>!UkdpI
z;QcRQIXk7Dg&pm*>@2jk)A_Rq7dsw;R{1)A1q;}z;44u8aPlhzxr<tzLuFkwoWYWF
zqBl~P&Y@>$N6}x4O#q*L4F%g#;Qt81n7NWc?0K;isgvgs$R;veK-Eo@cmb^fE948X
zhl#$v09{Pf<{K!1W%V~`lP22ujhF$@;i9Mp*m)6-Hqn`jhy@cpehJ}Xq8^uERTC|_
zqz3K-m!P1D{<s9?P1N>VF$mzrZ()BEz4I+J!&>rNsB5N<-yvMgMBjnaOh>;%d1iY2
zGJ@4iJugEvUXH#DyO`;%%ZLm!HM}C^V}touU_mo&zoLX)yMn5iDe|gl-Ab)xxjl5@
z1&=^`D6h;bjFRhFxf;&9inzxi^;L{1M%sH79f*;xT}7cr3i}=&GLrp!*vLo=zeiVW
zq;I}QG#jbw575#`o*yJ<?eZT)U_B(?yr!<OesxWa_kUdzuL4Ow!a7De`y=XXrI72e
zs+9&^hcrAJ&EVhH5zbc1xPi8ai~9`L-4Gj)>i2K)K7ipS>Sd+Go3NFYX556Mt#s-p
z?18h_pG04PoS)F2SZkO61X}@qa!Z5)(%GLC^{Ly4Yb#aXMun}k>9!JZ=eDBt_(e<y
z^5b970a|JJe-v`_e^iEmJFqJrNW6olW~B{xREgK`i1A1{e?=#5rDMM;^*h`}Q?t^`
zcVV^|I(iqTiJ^OU;qe&i|C>mnOM!*}TJ{@y{1`g>8)7YnTK_Kk162Nw!6X6C8pA3H
z)chVQnLxSs5M6OJO{QY$<9jFs|AOPci2GQY_Fq^fn-c#(2xQaJKOki=UH=0eKp$#%
z9~t^k`F(Wm9{Tz|I(H9=KhYg{YD@pbbOGbXoWGDGoi6@`=9*41e`7RBrP{y6JoIqA
z|3Pn*Msxpxv^4tiAF;Nceerlhd;D&}uWRu)hS_Lk?s|st0N>X$OhE({JZcyL@X@1&
zOc{QDhJ^q-{lIUf%YFv=pm-C11$y}#dLlL3-!Kf|n!iE56KM%BxB=D%7!Clq0u5sU
zz72$EE9KUQFf095-*61zgCIj3EOsx*U;~H?HY5Oy4K`HazVt7_hPeP!LJUIzE`%7e
z0j!~h(Ez(c4LJZ!gkcoGbYZXqToBMYlPm^93xHt;Lmy)!fBxT-{V|x#<M$7+I)APd
zFQVZin<jNsI$<z`1^>&J{K;U5Y}mLisq!{oxFe~>W61RQL+F-3H=z*?42_?A>>+~4
zmrLmaXIWig&ue7aj_1`hSy(USUjpLd>d>^mfgw6L)|b4|z|cInvoG1Wp`m4PCtuRi
z(C}1nM_<w{lQF&|H8iw}-~A_MqFd$9V)?T`{w$S0E9K7{@@KjHStEbe%b!j1XNUZG
Khkk2laQrVp{LGaA

diff --git a/master/refman/.doctrees/language/cic.doctree b/master/refman/.doctrees/language/cic.doctree
index 39454320dccc3063f60cbce114b92a8dc34d3e6c..704b318762881f0210c13dbd0066555ea462bb46 100644
GIT binary patch
delta 33
pcmbRGfMe<dj)pCaychU6N>VFI5{pt3r}Quv6s2yLxxn}{9suiN4d?&>

delta 33
pcmbRGfMe<dj)pCaychVH3yM;w^l+4<R+J<br6z8dxxn}{9sugh4d?&>

diff --git a/master/refman/.doctrees/language/coq-library.doctree b/master/refman/.doctrees/language/coq-library.doctree
index a4b415bc6213a19d615304abe5db9c25c5f5bd80..d54bc0ebdfbc0440eb1df4ddde93d1786fdde929 100644
GIT binary patch
delta 85
zcmbRA#A4DDi-s+XjGFu$C8-r9iAAZ2Q+k*Sic;GJG#P=I35c12m<5PgftU@5*@2h?
Xh&h3n3y8Uam<Nb?w+m?UF>wL_SN;{h

delta 85
zcmbRA#A4DDi-s+XjGFw+1x2Y-dN@i_D@qcJQWM(+G#P=I35c12m<5PgftU@5*@2h?
Xh&h3n3y8Uam<Nb?w+m?UF>wL_S7;T#

diff --git a/master/refman/.doctrees/language/core/assumptions.doctree b/master/refman/.doctrees/language/core/assumptions.doctree
index 2d81a6a34033ece78e614aaf1cc083714daf4a2d..a42a358794c5fc7d54391f3922bb1904901ad1bd 100644
GIT binary patch
delta 35
rcmZ3nm3zfj?uHh|EliT8{2V2z6(xy9sfkm1m<x(hw`-U(H7o@H>>&*F

delta 35
rcmZ3nm3zfj?uHh|EliT8{LBSKsZ)A5N>VFI5{pt3w`-U(H7o@H>x&HZ

diff --git a/master/refman/.doctrees/language/core/basic.doctree b/master/refman/.doctrees/language/core/basic.doctree
index a425b421f70ba86ebd00a2d28c6a537562c00354..0166836631683320d8b7a4dc2f9ec29d08cc557e 100644
GIT binary patch
delta 90
zcmex;K<xJcv4$;-ms<HbN>VFI5{pt3r}Quv6s2x|*ve?Y$HQ8bTAW$}6iUp=*)BVU
mahIwv4^UlEqHb|XN={}HM5g`KPDUVR0%GRvuXeIbd<FotekSPv

delta 80
zcmex;K<xJcv4$;-ms<Im3yM;w^l+4<R+J<br6z8F*ve?Y$HSbMlQX4<wJ5bXwPd^O
g6vkbuEFhujZ&xrXwg2782*gZ4%)I^YPL{f70B8pzV*mgE

diff --git a/master/refman/.doctrees/language/core/coinductive.doctree b/master/refman/.doctrees/language/core/coinductive.doctree
index a90271e97ce48c433d9e0237644d08e4ccf84fca..76c569681853af2cd6dddeb6f3e3a80eef2d5258 100644
GIT binary patch
delta 38
tcmZqu$=&*sdqY$qKSxPwMM+{&YT}e0=7OTs=FGzO%tFTPnT1R;-2gmj4`u)W

delta 38
tcmZqu$=&*sdqY$qKXXA*>XaUilGKWl#G=&1=FGzO%tFTPnT1R;-2gk%4`u)W

diff --git a/master/refman/.doctrees/language/core/conversion.doctree b/master/refman/.doctrees/language/core/conversion.doctree
index 0ac7972881ec286e6f37b33bdab5db58e0be9a10..12b41820c2ba93e11e80e6af761406e65ff45f8f 100644
GIT binary patch
delta 72
zcmbPulzrk+_6<+s_&G{aD@qcJQWK~2Fc%c1Hh+%W{yC2Eo)`~nVp4ul2~adKCujTJ
QQpTGis6vOj7|(|T0A~CihyVZp

delta 70
zcmbPulzrk+_6<+s_?ZieQm6EAl%!UaBo?J6Hh+%W{yC2Ep4jC0VpjGZ*2JXzqLS@*
QOBrv9pokpmVmu!X052pRvH$=8

diff --git a/master/refman/.doctrees/language/core/inductive.doctree b/master/refman/.doctrees/language/core/inductive.doctree
index f1b6182790dc351a86bf0ab6a46ed86bffdcc8c9..f5a42d67fb2d9b34058c920facea642b6740afe6 100644
GIT binary patch
delta 129
zcmccA<a4RXr(p}@bv=HLlGKWl#G=&1DLu>uMXBx2^cc54(_?bJH+`2AqvZ4xuFN9a
z!+4o@?t<{E+L(pftxhllF$)m00x=s9vjZ^)5OV@C7Z7s;F%J;)0x=&D^8>K}5DRX%
JIw2%s2>?JEGVTBX

delta 145
zcmccA<a4RXr(p}@bv=IOf}+$ZJsc&e6(xy9sfq2+^cc54(_?bJH$C79BP)9kYf)-(
zYRUB7uFQ(t!+4o@?m`vMZDW>iw>rTL#4JF}3dC$c%nrmHK+FlmTtLhX#5_RE3&eat
R%n!r@KrFc3>V%MlB>;SXIII8w

diff --git a/master/refman/.doctrees/language/core/modules.doctree b/master/refman/.doctrees/language/core/modules.doctree
index dcbc9c3a944861c9eda13b775081f969b005f832..419b47f8eb8d44d9184f993b16dfeaa8317574b8 100644
GIT binary patch
delta 61
zcmdmRU46rK^@c5stAF!zl%!UaBo?J6PU&GTC`xVL^_vlhnShuXh*^M`6^Pk@n0@=M
J-yGlG0|2M8ATR&`

delta 61
zcmdmRU46rK^@c5stAFz|7ZjyV>ES3zttd$>N=<Cv^_vlhnShuXh*^M`6^Pk@n0@=M
J-yGlG0|2KSATR&`

diff --git a/master/refman/.doctrees/language/core/primitive.doctree b/master/refman/.doctrees/language/core/primitive.doctree
index 625acbea5dbb2e0845b17589e55618e2c0f98190..af794a595ee51f360addfd36ae39c67b1ff1d6d7 100644
GIT binary patch
delta 38
ucmaDch3mx>t_>j${2V2z6(xy9sfkm1m<x(ho0A>dlN}hhCp$2)dI111aSkj1

delta 38
ucmaDch3mx>t_>j${LBSKsZ)A5N>VFI5{pt3o0A>dlN}hhCp$2)dI110+YT%M

diff --git a/master/refman/.doctrees/language/core/records.doctree b/master/refman/.doctrees/language/core/records.doctree
index 6fa15decd94578120e921194c1e3cbc5ccc9d33e..73d12eb7db9395862f75eb9dce24961c81fe4a06 100644
GIT binary patch
delta 53
zcmdn6NovC;sfI0#Gt&4uN>VFI5{pt3r}Quv6s5K=Ph$jPCLm@8Viq7~-M&1Ht<wkq
DQ$`ho

delta 53
zcmdn6NovC;sfI0#Gt&5(3yM;w^l+4<R+J<br6#s7Ph$jPCLm@8Viq7~-M&1Ht<wkq
DQm_?+

diff --git a/master/refman/.doctrees/language/core/sections.doctree b/master/refman/.doctrees/language/core/sections.doctree
index 4a932184a39de667bef21c0fbe984dc0f0bd1ae8..500b43b72408e78a5db8b109b34e26dbdcade80b 100644
GIT binary patch
delta 34
qcmbQXhilp%t_}Jp_&G{aD@qcJQWK~2Fc%c1Hrt)pZg+z5##I3QRu3}(

delta 34
qcmbQXhilp%t_}Jp_?ZieQm6EAl%!UaBo?J6Hrt)pZg+z5##I3Pzz;J3

diff --git a/master/refman/.doctrees/language/core/variants.doctree b/master/refman/.doctrees/language/core/variants.doctree
index 1a414d77e9c25967989436e5b11d6ce83413d720..cf14864be59933b64aec5b341d9017f1e022202b 100644
GIT binary patch
delta 46
zcmdnqAiBLlbc57XevXpViju^l)Wj)0%mqcM&6-o&HK#HHF%u9oZ`Yj4!nYa#qxcaY

delta 46
zcmdnqAiBLlbc57Xe&&Lr)G0k2C8-r9iAAZ2&6-o&HK#HHF%u9oZ`Yj4!nYa#qhb*s

diff --git a/master/refman/.doctrees/language/extensions/arguments-command.doctree b/master/refman/.doctrees/language/extensions/arguments-command.doctree
index 7b61b112bf968377d537a00de8a7ae4e125f8e94..dde76e257e4815a819b2a27cbe0e687724197064 100644
GIT binary patch
delta 59
zcmX?dTk*(k#fBEfElm0u{2V2z6(xy9sfkm1m<x(h+wC%#fS4JGS%8=oh}nRceY;%-
HM;j{us`(Vl

delta 59
zcmX?dTk*(k#fBEfElm0u{LBSKsZ)A5N>VFI5{pt3+wC%#fS4JGS%8=oh}nRceY;%-
HM;j{us$&$(

diff --git a/master/refman/.doctrees/language/extensions/canonical.doctree b/master/refman/.doctrees/language/extensions/canonical.doctree
index 61ef0c2baebc83ac8bdad1f3a55482beee152d2b..a058d80fbd1088c5f3dde89f2ddc4bad967b6883 100644
GIT binary patch
delta 131
zcmdn=(sa{H(+%?<@^h4=R+J<br6x}4VJ;|2-MsGM%B?)CMXAN9B|wqHoSf~+(;4@O
z@USK(<rhJP+O^j(Zr5JJ^x2dhs&e|jPG*&M&qqu^%nZaVK+FonY(UHo#2i4(3B+7L
M%)Q<75l`kM0JldtBme*a

delta 136
zcmdn=(sa{H(+%?<@-r6{rB3PLC`qj-Ni0fD+`R7L%B|D?cQUiG_plbF7N?eMPoB=W
zM+7F6n3P{s(yqORal7^!rq8A@VX(^S`8v$<?VgXAfS4JGS%8=oh}nRc9f&!Am=lP(
NfS7x`=OdoXNdWIIIrabm

diff --git a/master/refman/.doctrees/language/extensions/evars.doctree b/master/refman/.doctrees/language/extensions/evars.doctree
index 730926759cf92ed6ffae3ef4a33f11b33fe90bdc..e13440db5721ba9270aa7d6cf93edab65409b93e 100644
GIT binary patch
delta 38
ucmZ2;h-b|qo(&2`{2V2z6(xy9sfkm1m<x(hoAry@^@|v{>lZQoT?YUyyANmp

delta 38
ucmZ2;h-b|qo(&2`{LBSKsZ)A5N>VFI5{pt3oAry@^@|v{>lZQoT?YUyB@bu-

diff --git a/master/refman/.doctrees/language/extensions/implicit-arguments.doctree b/master/refman/.doctrees/language/extensions/implicit-arguments.doctree
index 7701ed7c8395522fd0c849d4f3cce768b21c52f2..a0b6fd7d725247644707f0e5b309ca69cd186002 100644
GIT binary patch
delta 126
zcmaEPK=I`P#SLoP_&G{aD@qcJQWK~2Fc%c1ZZ_SPy^5VRF)6>OWXg2w{fsK@rxO@~
zm<foPx1Ua6xw@O3wJ5bX6)0Vx%_^~dzYME<Bo9=mhdD7Pr~Oqa>-JZrY~t~7m5CqO
QRN8f}vTfJ7%5K{Y0Q}`L%m4rY

delta 131
zcmaEPK=I`P#SLoP_?ZieQm6EAl%!UaBo?J6ZZ_SPy=waYuPm(WJ*<gI`9&qu9riQI
zx1Ua61Y#y2X5M}}f#vFMn3|&0;?$DuYh+lBB2k3eUzM_Me^tsR9*-)_dzEcF?^X7g
FZUBZAHm(2w

diff --git a/master/refman/.doctrees/language/extensions/match.doctree b/master/refman/.doctrees/language/extensions/match.doctree
index 837023eafef35dcd5cd1433ae100716ec6035bc6..c314d26e3d8f926b2ec73ff26ca5bc0eaf8012cc 100644
GIT binary patch
delta 86
zcmex!#rn?`>kT^#_&G{aD@qcJQWK~2Fc%c1HlHYHKT*I4#7scU48$xz%nHP8K+F!r
Y96-zo#9Tnk4a7V^%)9+W0pFHN0O$E9!T<mO

delta 86
zcmex!#rn?`>kT^#_?ZieQm6EAl%!UaBo?J6HlHYHKT*I4#7scU48$xz%nHP8K+F!r
Y96-zo#9Tnk4a7V^%)9+W0pFHN0Ow;T!T<mO

diff --git a/master/refman/.doctrees/practical-tools/coq-commands.doctree b/master/refman/.doctrees/practical-tools/coq-commands.doctree
index c2472aab4fdd4a451cf35fdecf4dde98775cb326..62fea92098fb2ddc787314857e0dc16fe9dcab1a 100644
GIT binary patch
delta 42
wcmeynjqmR^z70RR`8i5bD@qcJQWK~2Fc%c1HnaD%v-dCpG1GST9_BKB0G!7Vv;Y7A

delta 42
wcmeynjqmR^z70RR`I!rfQm6EAl%!UaBo?J6HnaD%v-dCpG1GST9_BKB0Gu%pv;Y7A

diff --git a/master/refman/.doctrees/practical-tools/coqide.doctree b/master/refman/.doctrees/practical-tools/coqide.doctree
index ccb9ec7a3d11d12296a54c5035a39ba21d57f265..0629a845410855a1c6bf3731253acd5d13354ed6 100644
GIT binary patch
delta 37
tcmaDpkLUS3o`x-qcANM)N>VFI5{pt3r}Quv6s5NNZerZ-yNO9E762=y4&49%

delta 37
tcmaDpkLUS3o`x-qcANN_3yM;w^l+4<R+J<br6#ufZerZ-yNO9E762;`4&49%

diff --git a/master/refman/.doctrees/proof-engine/ltac.doctree b/master/refman/.doctrees/proof-engine/ltac.doctree
index 11113a9a5755412b31a5e564148698bf0c8f2e62..af09c1949982c97e36d856ce08e75b239948506e 100644
GIT binary patch
delta 1919
zcmeH|KTH#G6vuN`OD$KRJqi}uM*|XN@NDlWP@xe9H%ySl4O0-U2{EKF5FIdaD1!^p
z<Sj&ykXpqyk`R9}EH1=^Xd{FYK`Ag08T`ZMKofnv<4<ba8(j60Pwwvb-u>?PzQ6Cg
z+ldeF#D`z51d0uVy+eckV6Xqt16_Zx_x^Suv>o7xV}y=4PMje0L;+zSP7+3<kl+au
z+YS`H>cp!lvkB{dS@_WGToF-Bl(5-3^HeLgj_^EwnYWgPhEirWl(JNp9OgUOTV9Ag
zIl2!`#soGQE4{sQIL5O&w7wRP?n8U?R-%k3Cr%MIqJpR->}+q|aVDvgn%t~*3P!o~
z6<!Mi;KFC9ws>lt${{tRPcG5z#;!2bqALt`OMT8@Tdwh$FtiDBR=%XZD!K|byIV}h
zy|U=dO50yiDxKyL8!0ZSC#TfZ=-FSItHFiSPr++Y)+~!2+)6+h_JpAV9UD-Jt_Tzu
zlr_krj29!&$w}ys!C7pcg3~M+0Y7J?@&`=Dbg|fxfXcio{CEy^c~zj`rHX8I<b#<f
zmcf@(jmOjAtI-nTV1|w)G}UNHagaEkfD3;pGV=nOGjy<_DGEMS3<0~MASo_*7=`zo
z#7Lo=RmuQ-0tq)G;AD<Coag9)%~h}~5((Kxk@4OdN&n^}R0}z@P^10pWU}liHh;*Y
zkTPf5FO?cH;nphDYdgig2A&LEtax`3qzqlGxUdLbRTnF>Ex`z<SN);wjVtRK9YVpJ
z9Wu6@r$cs^!K+zpdlFi-iycdVFQeGY8FiLn`wFyBoueDnFykxW{=eP-z;-j*ZZmIC
z9c?n=M3g>h)Y;`Y5r-St@f9rl-beC&AwG+O^Dy3nj&D%^w-2*--@(8MJpEOJ{&NF^
Y*ZXdD)34Rv*N1m>RaH#C3*A3|1F0D$IsgCw

delta 1912
zcmeH|&rcIk5XZAtN-ZtWpIB&z1|-VCwcWPR3XO8`hDqfQz*Izg@X#QKCLS<)s0Twr
zG?_~yn2=h<Hjofs3>PoNglHqCZ3Lyrp-B(^;O2oIob6hh+Oh|)y2&TIJ2UU)&G&uZ
zZZSPmOwTOmLT!rh)a1kas_DtdbZ}}ic()LW7D60xgisJii6%lxG!rV~7@;Ow2o0fS
zg;48@F<cguO?b7WGe%d}T8TEIovp6v7SCgBtyP0zYr8QTDd||Gr0;33*5ho-U}Uc~
zhScL~FiJr-n=;-hR%5ImO)vTCd-P!4M3{*V;y7U;I*BgA$`00TC-Vx2+s*nGVU81@
z@NyggH$Fj+Ug)!zFJVBuIe3Q`$K%k4jyPEL&W6d6M)8$6jOZN=>$@?z1r{sKO=+Kt
zAFQi#N((B9WdpppBtg2_1@EAzvNE>^m!5!6<rT-fcrWf{!Hg4e=tSEt7}1e{W>vW#
z7cbzs1dMSW45r`|4lTk7mQO&CQ&aahwQ8|f3}m6}P!YaAgZ@KBpyY+ldU0HpnHMtP
zH`I&a!beNs@0AmxGD9E_-d;H=Duwe|IQxepE6-u5Mh6ROli-)cFyMF+gt7@9B;hUR
zVWiOY?s5P=f`FeBU}v^8oROSzdz<7HonokWiVMrxS05<bKn*Dy-XWLOXL0D=AsUtE
z6dltgBNXm!fm_}y&Ta72C}YA~n;_IEW5SJ1@JY&;nB_g(<CKy^<lS*;N9Kr7vf&Yl
zWniSCEA}(slWlf155w}!#<JkAY4&1GpJp7*!7%kXw@XK6J_pYK8xH@%hBMl5okk^j
zTC2u|Bz@NCba&uF8m?jB3+R8jAIbeK_%sRj-}wo&eFgX54rXt@fr^uUR5ujer<rme
HuKf53*u)=T

diff --git a/master/refman/.doctrees/proof-engine/ltac2.doctree b/master/refman/.doctrees/proof-engine/ltac2.doctree
index 8005dc68ada4ad0c0ee73ef03a7d80b813972b6f..9faae67e9c043ad7b47e080010b1ad5cdd33370d 100644
GIT binary patch
delta 204
zcmZoT>(_ABZ$n4|KSxPwMM+{&YT}e0=7OTs=H!I!$q9^-=XqEYlk$s7fTD>xIqe<#
zOhC*G#4JF}3dC$c%)Y%tpTpV*Md|kQ)g1hPQH5SraNbWu6}ozhQ?D6CsGUEKYde1&
jw?Q(hu=hdkcJG5cK+Frod_c?(!~#GpxZV4pkm*wZ&`(Wz

delta 204
zcmZoT>(_ABZ$n4|KXXA*>XaUilGKWl#G=&1=H!I!$q9^-=cnhNVrFIUVNFcRFDhy8
z&}RZ-W*}w(Vpbq#17h~=9r_&BJ}64JpReZN|BEX0s)F-=BC62UTbz2$C_?T0aa`N^
l<G2lyQH8w^a<_XQ<N;z{Am#&NejpYAV!`d+2Zc<Z0s!r*O^g5l

diff --git a/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree b/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree
index 24ebb50af96d470cf8d527330c0cc30c9dd35733..6e864217b53f481d1c6f0d8fded05c6421868c43 100644
GIT binary patch
delta 826
zcmY+<T}V@57zc2+xt+6GT03(sXJ;SI&5!Nu*oWHJGR-VM`dpA*L?=0h%QB7w`*K)8
zr(h(L(OWmdWKt<ebn{*m-B=(b#C9cJ)kS$#)Mbd(9}3~U_}%<@o`?Ta{8}^?;l)Iz
zj8Cf9l8UA(*|h1ZrrynE^jyXOMleAMn85-Z@L+{?upVr%0ZO3^Ho_*bg8&XFr@4&t
z{Uy$<To}@lS@QE7SE-M$I$<-oU<*`$8!GAe>ehbQV%F4QHAxJTD3q6sDB6{5+J?58
z61m)WW1#<fmVACK3bauY194I@Ee2@njyUS)Iqc!5B>9sU-2%IkHYtOHv|(EO{@C`v
z&cCQW=K0XUMwWY?CtYkbTkyO+%|<sv-e0$v*T~|S*Fk6VUcHYUjq$!SQ{>ZgzLXdx
z(M~2(cDueX;{!ibL4YpIR6mL^dwOE28iEjl8k$(Dt?6V&h@nvHc>2;`cae$dn+J8=
z7!&CQYdtMk!^Hu%^Zm172mLr4c6}i~s)9ChJMVRp^Ft9q5A{Z9s8{kmWbV-Tvh=En
ziFCIoO5Gkg8eBX5>~}OsN807(W@eHmQgY8I6Y29SGBm(8*bX~jCp1D6G{Y{~4SQfO
z?1LEWhZZ;ht<VMsp&brE2ONeY&`IZ4x)!I_N`8CS?b7EayP*e;!ZA1wC*UNUqH~k+
GyyGvJglyvg

delta 843
zcmZY6OH30{6b9f(+i9y%1locYX4+C(9)0-&e2q^;dHAdexG;`nP-<y$m;@80!J0Ul
zG-64^)eT7zV}dalHg{p-1{Wlnn07_nu~2qKmxf^c9b8P~;>%6`+;h)4Glg%3k^;P)
z%9QIyBr%&d$>JSZkVN4@E~Df!Tc8AVpa%mmU<4DGVJmEdQYZrpl*4wYfJ&$WE7)i*
zWB+)I{HXUbj6t}bkYqA3=d4yHH|+5DtbrY{6C6-WCpYQ_!yf&ZAjPw3eLNAzoED5J
z34vijzB!N>9?7N+k~k_7A;s3w)*$PNknaL(A@}E;cA8AF<8HNO^=8Ze%1K{}^-}&N
zyZWqDC&XfSPMwXm@Z9Il;)r?3J?}1#Ugx<Fmy4sjKIgA{+BGTGTpTD$c$2GdmRNYM
zqU_&R>Jl<}nyj=c%kwU9Lp^xt@_fT|KwGawR~o<zK4_%Tm8Qln^@c$me>&e}d$s6p
zzM-w6?;kfCC$x!@H@DEd*<Tpars{7YkFNNw^vkHf<}0Hg6oz71^7E>(mRw5&suW*;
zfcpA_t|!_u8d(dzYttr*g9}jy7Y=!~DS7id<f3C8;k9;cOryzg@3=Nmme#|t3wFaE
z*bDoh722R3_QL@<2#4S>@Nfi<!ZA1wC*UM>z$xg2({Kj5=+b)kr&+c8<`*QZw|i{L
Y!b}hJ!dW;6=ivfegiCZ`Ci24i2cRZ!K>z>%

diff --git a/master/refman/.doctrees/proof-engine/tactics.doctree b/master/refman/.doctrees/proof-engine/tactics.doctree
index 1225f7dd73dd6cd0c46e365f2f2315fb578e69c1..9795c2de7912c5827d098cbdfa2f773fe56d91c7 100644
GIT binary patch
delta 215
zcmZ4SAz{UbgoYNzEliy^`8i5bD@qcJQWK~2Fc%c1w$Hf91jNih%mT!$K+Fcj>_E%`
z#GF9P1;pGy%(H#QP2Qv8JgkXH`9&o_?TI-#)8|j%m2GeP$P2`LK+F%s0zfPX#6mzU
xyuIzCNGThNo_6*hB0wy<o&AT{&NvjQ?PtQocN(G!P3#a~V}vT?xm)~x4FF&9UVi`p

delta 210
zcmZ4SAz{UbgoYNzEliy^`I!rfQm6EAl%!UaBo?J6w$Hf91jNih%mT!$K+Fcj>_E%`
z#GF9P1;pGy%(H#QP2Qv8)AO=;+1OYUlk$s7rq7?iE8E`okr#;hfS4bM1%Ox(h=qVy
xczfGNky18fE$!?-M1WXyJNpl@opH!A+s}lF?=(aanb;w|#t22kbGP{Y8UPT#S|0!a

diff --git a/master/refman/.doctrees/proof-engine/vernacular-commands.doctree b/master/refman/.doctrees/proof-engine/vernacular-commands.doctree
index af3d81fb56ef861b788de87d5d9526ae1d407ebd..e58b912f9b33fce9f2fb220ccae03e017160e0d5 100644
GIT binary patch
delta 276
zcmex!)%ed<<AyDaH81%&N>VFI5{pt3r}Quv6s2zOe#t0V!^2vXTAW$}6iUp=*}fr_
z$xjzmh-)%a-h5#mpw^;9-QtpzoXjMs;%+16!_QC@Pd8k`BD_6Ul4VC1iuiV*_?x3x
z4Kc`KeJ+MoMyrw4sSKM;d;ND-AZ7z%b|B^eV$SXL-?`rJN42zSJGYh}s?Y{j9-pTG
DmE~@2

delta 241
zcmex!)%ed<<AyDaH81&@3yM;w^l+4<R+J<br6z9ge#t0V!^51IlQX4<wJ5bXwPgE-
zR3<-NR3Wa(OnLKJK&qz8++dN}KEsH4+cOj;(+!uf2yf4oWZBV$BEB6c{^lrLtN!+Y
zEY{;<aK6%Z+eTLXG6?_7R#v6yhgo?H+Yf(d1!6WJW(Q&pAm-eD_&e9?{itSFZRghV
MLlxS<%H#7C07$%GegFUf

diff --git a/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree b/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree
index 2dc727106a1137c76e8ee1db2eb20645d12d5ac1..21baf78ccbd26f5b70774177170220b81120ba24 100644
GIT binary patch
delta 207
zcmdmeRcZHCrG_nxX)^pAC8-r9iAAZ2Q+k*Sic;H4Wf*~&X?v**bG)%I4^XlwQMb4x
zB_}fps3O0#WP1KiCdKU>0nC#`Fr*W6azN4w+s~#jFBZcktvDU1yJfpZ4Kp8ZBc=n5
ruxnpFff<NdfS7gr@(FCa-KTH+$0|8}UkN*Vd(#cJ?M*k>EiVB8`TI`E

delta 155
zcmdmeRcZHCrG_nxX)^rG1x2Y-dN@i_D@qcJQWM)tWf*~&X?v**bG$JNbAD;b^n{&E
z2HQCTm?w#_Fem2ZfcW~`&!#Xh7K8H*rUT_$wrkWd^C2mk4pd~<zI*~R5VHU=>-Oan
j*mk?~fJ~Xv!&;PDoLVw{V+p%Rd(#cJ?M*k>EiVB8#$GtM

diff --git a/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree b/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree
index 7ac886515f1f7ce82f624c71468c837bc8a887c7..d6290b2b388690f7658fd4ed307f68de49a22be0 100644
GIT binary patch
delta 38
ucmdlsg?HN&-VI)1{2V2z6(xy9sfkm1m<x(hn<K;8Bf}WCM}{%o{R{vns}Fww

delta 38
ucmdlsg?HN&-VI)1{LBSKsZ)A5N>VFI5{pt3n<K;8Bf}WCM}{%o{R{vn6%T&^

diff --git a/master/refman/.doctrees/proofs/writing-proofs/equality.doctree b/master/refman/.doctrees/proofs/writing-proofs/equality.doctree
index 58506f4faa5b5a5dadfbc3237a666c1e10920cf2..aa1747bd1349818141a2a1b9781239d8d89dd0ce 100644
GIT binary patch
delta 541
zcmeyi((M0Avkh(D{2V2z6(xy9sfkm1m<x(ho2PoWPxWTpKGmCPoAmV8f4O<52M01K
zv{$4v0WtITigcFrHjp^q^v!7;LfikpWf6Bk@Y~JwSb>-gh}pNB>2c%=Amp|mw&QrD
z4(4wM>P;&FF?pw#tp^%oahs!QJ(%Bqyo(cvxwaqg;#MtYD@rX+EtxXiE1gMdJI_Dv
zHZBfE21W)Dm>yWiA-sJp2ai)Iqx$p@u{?{#3@nTkic^z|6*LU=3`~qmb%2zy<@A+t
zJjX;$%`D(@rY7cKIiu~3@jO@Lap`NA#^W-5eLYVs9tC>a0~&ak#261u4|vEUh256v
z_0xFPPXAcXBaK^Le>%_{{_WGJ^DJh9giDSukNozuSv;FKr~7E|Ds8t~!c%3l9mwQh
z+`i`_kC+TNB*C#Ty~3AAcsuJqo(D{f#?yT@conAuRi|&yW8_s~7n&N~0}e2Ttko<G
g41QT_Shg?W;9VgPQMw&MIZR*s5NLmhChwwb0ERubr2qf`

delta 610
zcmeyr((Kzxvkh(D{LBSKsZ)A5N>VFI5{pt3o2PoWPxWTpKGmCPoAk5;9IWg;tcgka
zMJ4Uw=}bV(ygfXfrK1g5X8Oi74w3Eu-?E51U<kLH>9GPa8xXT^H`C+D6~Iuk{jeR!
zBXwlq?LY%FN>D^pZ*xptk1W!Dtcw$fxwaqc;#Mo3{@^VOFDq+NYH{lJe}B2BaB(m*
zFfxF^^uRg};q7ZVc$`8RRi=N4<ykCdXke*OoSIy$pkbhAU}99N1EkE%rvB%(n7%ij
zM|isDW)79<dW(73rpv|i1PYs(!&RG^ffXBq)NTi=oh^^Uu<3dAJPYy2>1_{g;9(MD
z+&g{Y10E@CR)9=!neH=#M_~G`X*>~((RfwrZJ#)uXA={008O*!RoI?Ci)Rz(^eS6k
zrRf5Uyy@FlE#VQif$;A?;F$(t>1*=pZ9n>uM@$A;KR8yW^V;(YZ|D2R^MGmk-UmEN
r+kvKZvkPUdW?^9P%US~@rv~(Zf*BaXyes6l1J!UaZjaUEU6c&~IY!Em

diff --git a/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree b/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree
index 313c007c71fbea441f293684739540482ec61c5c..17d50f518a1f4b6458cbd8871872935cf35186d0 100644
GIT binary patch
delta 134
zcmZqsrPcOJYr~pievXpViju^l)Wj)0%mqcM&AW@+cNa5m-(AdfYYz`=QEG8&2~Z|6
zC#QX(0W%P@Y+q==I%^K9l>1rM?e1sUe%0}?CMM+<!F2fguy6PE;aCDxjV%241;_Tk
JFE}}`008Q3I4J-C

delta 128
zcmZqsrPcOJYr~pie&&Lr)G0k2C8-r9iAAZ2&AW@+cNa5m-(AdfYtQrmZ${SX6DP2X
zw68N@24a@&>kL?X=OBrPoMqh}a+d9F9axOLhcz)Nzo?|$*N1((uMfu(h*G%l-xnO)
K|GwblyaE7c95f67

diff --git a/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree b/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree
index a6965edcb3e57c898439a7f9310169ba1f12c7cf..c293a7b625891451e518a9645a84a896cede6b51 100644
GIT binary patch
delta 585
zcmex$IP=%x%!VzD3)uNNN>VFI5{pt3r}Quv6s5MWXJ-UrCLm@8Viq7~-M*fkEi0av
z2dJ<pQMb4xB_}g!`o%3Q!qZoWvx#i?O=r8v&CZ&blwVXbW%`2;yow-k;r7U4HXvpP
zVh$kY1Y#~A<_2P(?UBX29ktj@<YVR&*)IB#_og5g+3i5tcyBBc)4|#n`tk7#;E-k8
zel3oV;{q1h_J4Z(Kr8^nf<P<;#KPPE>4|jy#-ez-jj5Q>_MKXy<%+02z91tiv^~p5
zbXgHjT~7N&cgtYWWqwE0)enpKHZ8Hv`M6ALFFYj%#NyivPf0XS#HK3l1JI>vF_HzP
aIAu><l<bwqDck;0@|GM<*~tP@>45;Ug5IJ4

delta 438
zcmex$IP=%x%!VzD3)uOY3yM;w^l+4<R+J<br6#toXJ-UrCLm@8Viq7~-M*fkEh~Qd
z17~5@>58Ue($iOmvx#i?O=r8v4HjhYVNFcRFDjX?U@9g9k`!)_EM@~@b|B^eVoo6D
z0%C3;=Gh)u%-d0mWEvkcpU8I6kGwYp5rW%+g7Mx6{&cXSg?@be0;qy)+pop(aa=$M
zw*S-P2Vwyr76f7;AQs;KPfw)tH(ZVG_MKXy<%(cFvfK5xXZeUOD?(D|v|n_$3>J0f
zcSK$Nu!wKd66>6g(BEEoN(_j_w-=t0Xr2fWUpQA%ce`4QWI-ts|HMVfUU?*b`$x%J
Ma!CBi0#fOL09vD+DF6Tf

diff --git a/master/refman/.doctrees/user-extensions/syntax-extensions.doctree b/master/refman/.doctrees/user-extensions/syntax-extensions.doctree
index 52554c7aa3e47dfa27c4113eab29ad02e1d16946..8553672ed3ed50ebf2e53d508d98dfdd3cf76ead 100644
GIT binary patch
delta 175
zcmWN=ISztA06@_IqvAR)xZr|t6-$yS<^m=Z(;Grzt;IB!Mz26=C6}=E3e+5d|B_e!
ztyA)IQqnKXwa9XlJs;jBH+QY9Rt{Zy6zs6e9)0#X;E*GZIici~GtRkSz$I5)bHk8Z
c?zrcn(kl9W-_6YpUosACDvpe+R3zuR1xuAVa{vGU

delta 181
zcmWN=D-wc00D$2^R>T*Gith&oZ$Ywe*duJ%w!vWtbi)>-GhBg4l1o^<g6Hu6X1?a@
zyoT*f#{Ru9uV+}As?>$i4<((F9((jD*k`~2Lk>COm=jJJG3Ja3=Ui~flq;^e;g&n@
fdEl{A^7MHNUt3$ZRg%`xH49uW&dj=8T<q@;mBl)5

diff --git a/master/refman/.doctrees/using/libraries/funind.doctree b/master/refman/.doctrees/using/libraries/funind.doctree
index f3b3ba8753c1b5a4e6cbec6d93d83973ab50c7c8..1b66bc05acc385f7f924dfe9953b4fc2efe55775 100644
GIT binary patch
delta 192
zcmdn{Q*!T5$%ZYA&l&kSN>VFI5{pt3r}Quv6s2ze#>g1vK0W6JqsaCIPsRc-Fth#1
zWJVxn+WurR^Xw9^(DeUKEDGB<bFfU3MB-N}u@oslbOYrJ>XD=tA7WWo3Xw{+VCCKe
lkrHcURoK4d3#+y`5}%oe?T<DR-`IjJLj|IBeGD6)0sszZOSk|4

delta 187
zcmdn{Q*!T5$%ZYA&l&ld3yM;w^l+4<R+J<br6z9w#>g1vKAowNRbje+G$Z@=Vo%0c
zFF2pA{o7<lAZFVBZ8CFb2}GRRnMGv#W)7A~l1ThYC6*!uFn>ExKBXQ>YVjeKb)^ug
pLJQXayFpBo?MuF}YKudd%sgy=v>{Am3$_du5L0dY!5Fqb@&JnZKy3g3

diff --git a/master/refman/.doctrees/using/libraries/writing.doctree b/master/refman/.doctrees/using/libraries/writing.doctree
index 3eb94def2408a994a771340b121f7420fbde49ea..ada7a4db0fa703bcc04c2301903ab3a96cb1d530 100644
GIT binary patch
delta 52
zcmca{g#E@5_J%EtW<mTMC8-r9iAAZ2Q+k*Sic+_`1~I1U@~|c*<rkFzg%Wdewr{Iv
HT$BU=AYT+Z

delta 52
zcmca{g#E@5_J%EtW<mVS1x2Y-dN@i_D@qcJQWLkk1~I1U@-Qdn<V@*dO-#x!D%rlR
Io^eqU03SOPIsgCw

diff --git a/master/refman/proof-engine/ltac.html b/master/refman/proof-engine/ltac.html
index f73b1c698a..af4f21295e 100644
--- a/master/refman/proof-engine/ltac.html
+++ b/master/refman/proof-engine/ltac.html
@@ -4297,40 +4297,40 @@ <h3>Profiling <code class="docutils literal notranslate"><span class="pre">L</sp
 </span></dt><dd><span>No more goals.
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Show</span><span> </span><span class="coqdoc-keyword">Ltac</span><span> </span><span class="coqdoc-var">Profile</span><span>.</span><span>
-</span></dt><dd><span>total time:      1.044s
+</span></dt><dd><span>total time:      1.281s
 
  tactic                                      local  total   calls       max
 ───────────────────────────────────────────┴──────┴──────┴───────┴─────────┘
-─tac --------------------------------------   0.1% 100.0%       1    1.044s
-─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.2%      26    0.083s
-─&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.1%      26    0.083s
-─&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.1%      26    0.083s
-─t_tauto_intuit ---------------------------   0.1%  97.0%      26    0.083s
-─&lt;Corelib.Init.Tauto.simplif&gt; -------------  60.0%  93.7%      26    0.081s
-─&lt;Corelib.Init.Tauto.is_conj&gt; -------------  26.2%  26.2%   28756    0.045s
-─elim id ----------------------------------   3.8%   3.8%     650    0.000s
-─&lt;Corelib.Init.Tauto.axioms&gt; --------------   2.2%   3.2%       0    0.002s
-─lia --------------------------------------   0.1%   2.5%      28    0.013s
+─tac --------------------------------------   0.1% 100.0%       1    1.281s
+─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.5%      26    0.113s
+─&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.4%      26    0.113s
+─&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.4%      26    0.113s
+─t_tauto_intuit ---------------------------   0.1%  97.3%      26    0.112s
+─&lt;Corelib.Init.Tauto.simplif&gt; -------------  61.3%  93.9%      26    0.111s
+─&lt;Corelib.Init.Tauto.is_conj&gt; -------------  25.7%  25.7%   28756    0.060s
+─elim id ----------------------------------   3.5%   3.5%     650    0.000s
+─&lt;Corelib.Init.Tauto.axioms&gt; --------------   2.3%   3.3%       0    0.002s
+─lia --------------------------------------   0.1%   2.2%      28    0.013s
 
  tactic                                        local  total   calls       max
 ─────────────────────────────────────────────┴──────┴──────┴───────┴─────────┘
-─tac ----------------------------------------   0.1% 100.0%       1    1.044s
- ├─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.2%      26    0.083s
- │└&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.1%      26    0.083s
- │└&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.1%      26    0.083s
- │└t_tauto_intuit ---------------------------   0.1%  97.0%      26    0.083s
- │ ├─&lt;Corelib.Init.Tauto.simplif&gt; -----------  60.0%  93.7%      26    0.081s
- │ │ ├─&lt;Corelib.Init.Tauto.is_conj&gt; ---------  26.2%  26.2%   28756    0.045s
- │ │ └─elim id ------------------------------   3.8%   3.8%     650    0.000s
- │ └─&lt;Corelib.Init.Tauto.axioms&gt; ------------   2.2%   3.2%       0    0.002s
- └─lia --------------------------------------   0.1%   2.5%      28    0.013s
+─tac ----------------------------------------   0.1% 100.0%       1    1.281s
+ ├─&lt;Corelib.Init.Tauto.with_uniform_flags&gt; --   0.0%  97.5%      26    0.113s
+ │└&lt;Corelib.Init.Tauto.tauto_gen&gt; -----------   0.0%  97.4%      26    0.113s
+ │└&lt;Corelib.Init.Tauto.tauto_intuitionistic&gt;    0.1%  97.4%      26    0.113s
+ │└t_tauto_intuit ---------------------------   0.1%  97.3%      26    0.112s
+ │ ├─&lt;Corelib.Init.Tauto.simplif&gt; -----------  61.3%  93.9%      26    0.111s
+ │ │ ├─&lt;Corelib.Init.Tauto.is_conj&gt; ---------  25.7%  25.7%   28756    0.060s
+ │ │ └─elim id ------------------------------   3.5%   3.5%     650    0.000s
+ │ └─&lt;Corelib.Init.Tauto.axioms&gt; ------------   2.3%   3.3%       0    0.002s
+ └─lia --------------------------------------   0.1%   2.2%      28    0.013s
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Show</span><span> </span><span class="coqdoc-keyword">Ltac</span><span> </span><span class="coqdoc-var">Profile</span><span> &quot;lia&quot;.</span><span>
-</span></dt><dd><span>total time:      1.044s
+</span></dt><dd><span>total time:      1.281s
 
  tactic  local  total   calls       max
 ───────┴──────┴──────┴───────┴─────────┘
-─lia --   0.1%   2.5%      28    0.013s
+─lia --   0.1%   2.2%      28    0.013s
 
  tactic  local  total   calls       max
 ───────┴──────┴──────┴───────┴─────────┘
diff --git a/master/refman/proofs/writing-proofs/equality.html b/master/refman/proofs/writing-proofs/equality.html
index eb2f371a08..c1386dd8ed 100644
--- a/master/refman/proofs/writing-proofs/equality.html
+++ b/master/refman/proofs/writing-proofs/equality.html
@@ -2646,7 +2646,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 8) = </span><span class="coqdoc-var">fact</span><span> 8) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.109 secs (0.042u,0.066s) (successful)
+</span></dt><dd><span>Finished transaction in 0.082 secs (0.043u,0.039s) (successful)
 1 goal
   
   H : id (fact 8)</span><span> =</span><span> fact 8
@@ -2654,7 +2654,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 9) = </span><span class="coqdoc-var">fact</span><span> 9) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.67 secs (0.66u,0.01s) (successful)
+</span></dt><dd><span>Finished transaction in 0.568 secs (0.547u,0.021s) (successful)
 1 goal
   
   H : id (fact 8)</span><span> =</span><span> fact 8
@@ -2682,7 +2682,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
 Timeout!
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 100) = </span><span class="coqdoc-var">fact</span><span> 100) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-var">with_strategy</span><span> -1 [</span><span class="coqdoc-var">id</span><span>] </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.001 secs (0.001u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0.002 secs (0.002u,0.s) (successful)
 1 goal
   
   H : id (fact 100)</span><span> =</span><span> fact 100
@@ -2717,7 +2717,7 @@ <h3>Computing in a term: eval and Eval<a class="headerlink" href="#computing-in-
   True
 </span></dd>
 <dt><span></span><span class="coqdoc-keyword">Time</span><span> </span><span class="coqdoc-tactic">assert</span><span> (</span><span class="coqdoc-var">id</span><span> (</span><span class="coqdoc-var">fact</span><span> 100) = </span><span class="coqdoc-var">fact</span><span> 100) </span><span class="coqdoc-tactic">by</span><span> </span><span class="coqdoc-var">with_strategy</span><span> -1 [</span><span class="coqdoc-var">id</span><span>] </span><span class="coqdoc-tactic">abstract</span><span> </span><span class="coqdoc-tactic">reflexivity</span><span>.</span><span>
-</span></dt><dd><span>Finished transaction in 0.002 secs (0.002u,0.s) (successful)
+</span></dt><dd><span>Finished transaction in 0.003 secs (0.002u,0.s) (successful)
 1 goal
   
   H : id (fact 100)</span><span> =</span><span> fact 100
diff --git a/master/refman/searchindex.js b/master/refman/searchindex.js
index f853f1941b..ce5b241b15 100644
--- a/master/refman/searchindex.js
+++ b/master/refman/searchindex.js
@@ -1 +1 @@
-Search.setIndex({"docnames": ["addendum/canonical-structures", "addendum/extended-pattern-matching", "addendum/extraction", "addendum/generalized-rewriting", "addendum/implicit-coercions", "addendum/micromega", "addendum/miscellaneous-extensions", "addendum/nsatz", "addendum/parallel-proof-processing", "addendum/program", "addendum/rewrite-rules", "addendum/ring", "addendum/sprop", "addendum/type-classes", "addendum/universe-polymorphism", "appendix/history-and-changes/index", "appendix/indexes/index", "changes", "coq-attrindex", "coq-cmdindex", "coq-exnindex", "coq-optindex", "coq-tacindex", "genindex", "history", "index", "language/cic", "language/coq-library", "language/core/assumptions", "language/core/basic", "language/core/coinductive", "language/core/conversion", "language/core/definitions", "language/core/index", "language/core/inductive", "language/core/modules", "language/core/primitive", "language/core/records", "language/core/sections", "language/core/sorts", "language/core/variants", "language/extensions/arguments-command", "language/extensions/canonical", "language/extensions/evars", "language/extensions/implicit-arguments", "language/extensions/index", "language/extensions/match", "language/gallina-extensions", "language/gallina-specification-language", "language/module-system", "license", "practical-tools/coq-commands", "practical-tools/coqide", "practical-tools/utilities", "proof-engine/ltac", "proof-engine/ltac2", "proof-engine/proof-handling", "proof-engine/ssreflect-proof-language", "proof-engine/tactics", "proof-engine/vernacular-commands", "proofs/automatic-tactics/auto", "proofs/automatic-tactics/index", "proofs/automatic-tactics/logic", "proofs/creating-tactics/index", "proofs/writing-proofs/equality", "proofs/writing-proofs/index", "proofs/writing-proofs/proof-mode", "proofs/writing-proofs/reasoning-inductives", "proofs/writing-proofs/rewriting", "std-glossindex", "user-extensions/proof-schemes", "user-extensions/syntax-extensions", "using/libraries/funind", "using/libraries/index", "using/libraries/writing", "using/tools/coqdoc", "using/tools/index", "zebibliography"], "filenames": ["addendum/canonical-structures.rst", "addendum/extended-pattern-matching.rst", "addendum/extraction.rst", "addendum/generalized-rewriting.rst", "addendum/implicit-coercions.rst", "addendum/micromega.rst", "addendum/miscellaneous-extensions.rst", "addendum/nsatz.rst", "addendum/parallel-proof-processing.rst", "addendum/program.rst", "addendum/rewrite-rules.rst", "addendum/ring.rst", "addendum/sprop.rst", "addendum/type-classes.rst", "addendum/universe-polymorphism.rst", "appendix/history-and-changes/index.rst", "appendix/indexes/index.rst", "changes.rst", "coq-attrindex.rst", "coq-cmdindex.rst", "coq-exnindex.rst", "coq-optindex.rst", "coq-tacindex.rst", "genindex.rst", "history.rst", "index.rst", "language/cic.rst", "language/coq-library.rst", "language/core/assumptions.rst", "language/core/basic.rst", "language/core/coinductive.rst", "language/core/conversion.rst", "language/core/definitions.rst", "language/core/index.rst", "language/core/inductive.rst", "language/core/modules.rst", "language/core/primitive.rst", "language/core/records.rst", "language/core/sections.rst", "language/core/sorts.rst", "language/core/variants.rst", "language/extensions/arguments-command.rst", "language/extensions/canonical.rst", "language/extensions/evars.rst", "language/extensions/implicit-arguments.rst", "language/extensions/index.rst", "language/extensions/match.rst", "language/gallina-extensions.rst", "language/gallina-specification-language.rst", "language/module-system.rst", "license.rst", "practical-tools/coq-commands.rst", "practical-tools/coqide.rst", "practical-tools/utilities.rst", "proof-engine/ltac.rst", "proof-engine/ltac2.rst", "proof-engine/proof-handling.rst", "proof-engine/ssreflect-proof-language.rst", "proof-engine/tactics.rst", "proof-engine/vernacular-commands.rst", "proofs/automatic-tactics/auto.rst", "proofs/automatic-tactics/index.rst", "proofs/automatic-tactics/logic.rst", "proofs/creating-tactics/index.rst", "proofs/writing-proofs/equality.rst", "proofs/writing-proofs/index.rst", "proofs/writing-proofs/proof-mode.rst", "proofs/writing-proofs/reasoning-inductives.rst", "proofs/writing-proofs/rewriting.rst", "std-glossindex.rst", "user-extensions/proof-schemes.rst", "user-extensions/syntax-extensions.rst", "using/libraries/funind.rst", "using/libraries/index.rst", "using/libraries/writing.rst", "using/tools/coqdoc.rst", "using/tools/index.rst", "zebibliography.rst"], "titles": ["&lt;no title&gt;", "&lt;no title&gt;", "Program extraction", "Generalized rewriting", "Implicit Coercions", "Micromega: solvers for arithmetic goals over ordered rings", "Program derivation", "Nsatz: a solver for equalities in integral domains", "Asynchronous and Parallel Proof Processing", "Program", "User-defined rewrite rules", "ring and field: solvers for polynomial and rational equations", "SProp (proof irrelevant propositions)", "Typeclasses", "Polymorphic Universes", "History and recent changes", "Indexes", "Recent changes", "Attribute index", "Command index", "Errors and warnings index", "Flags, options and tables index", "Tactic index", "General index", "Early history of Coq", "Introduction and Contents", "Typing rules", "The Coq libraries", "Functions and assumptions", "Basic notions and conventions", "Coinductive types and corecursive functions", "Conversion rules", "Definitions", "Core language", "Inductive types and recursive functions", "The Module System", "Primitive objects", "Record types", "Sections", "Sorts", "Variants and the <code class=\"docutils literal notranslate\"><span class=\"pre\">match</span></code> construct", "Setting properties of a function's arguments", "Canonical Structures", "Existential variables", "Implicit arguments", "Language extensions", "Extended pattern matching", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "The Rocq Prover commands", "RocqIDE", "Building Rocq Projects", "Ltac", "Ltac2", "&lt;no title&gt;", "The <span class=\"smallcaps\">SSReflect</span> proof language", "Tactics", "Commands", "Programmable proof search", "Automatic solvers and programmable tactics", "Solvers for logic and equality", "Creating new tactics", "Reasoning with equalities", "Basic proof writing", "Proof mode", "Reasoning with inductive types", "&lt;no title&gt;", "Glossary index", "&lt;no title&gt;", "Syntax extensions and notation scopes", "Functional induction", "Libraries and plugins", "Writing Rocq libraries and plugins", "Documenting Rocq files with rocq doc", "Command-line and graphical tools", "Bibliography"], "terms": {"newcommand": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "kw": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "case": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "con": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "textsf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "consf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "emptyf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "end": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "kwend": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "even": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "eveno": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "o": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "fix": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "forest": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "functor": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "In": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ind": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "3": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77], "1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "left": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "2": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathrm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "right": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "4": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indpstr": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "5": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "inject": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "length": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "letin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "let": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "list": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "lra": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "longrightarrow": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "match": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mod": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "zeroon": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modimp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "moda": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modtyp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mto": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nat": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nil": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nilhl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_hl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nO": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "node": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "n": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "odd": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ovl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "overlin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "pair": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "plu": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathsf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "sprop": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "prop": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "return": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "set": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 59, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "sort": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathcal": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "str": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "stream": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "struct": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "subst": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "tl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "tree": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "trii": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "triangleright_": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "iota": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "type": [0, 1, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 33, 36, 39, 41, 42, 43, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 76, 77], "wev": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mbox": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "vdash": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wevt": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "w": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "f": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wfe": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "e": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wft": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wftwolin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "begin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "arrai": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "l": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wse": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wt": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wte": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wteg": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "gamma": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wtm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "c": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "i": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "cic": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "\u03b2\u03b4\u03b9\u03b6": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "latex": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "tac": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "p": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "program": [0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ssreflect": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "t": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "m": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "x": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "author": [2, 3, 4, 5, 7, 8, 9, 11, 14, 17, 27, 29, 42, 46, 57, 73, 74], "jean": [2, 17, 24, 77], "christoph": [2, 17, 24, 77], "filli\u00e2tr": [2, 17, 24, 77], "pierr": [2, 17, 24, 77], "letouzei": [2, 17, 24, 77], "we": [2, 3, 4, 5, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 39, 40, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "present": [2, 3, 6, 9, 11, 13, 15, 17, 24, 25, 26, 29, 30, 32, 33, 34, 37, 41, 42, 44, 45, 46, 50, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 71, 73, 74, 75, 76], "here": [2, 3, 4, 5, 9, 11, 13, 14, 16, 17, 24, 29, 31, 33, 34, 35, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "command": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 53, 54, 55, 58, 60, 62, 63, 64, 72, 73, 74], "us": [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 39, 40, 41, 42, 45, 55, 57, 59, 60, 61, 62, 63, 65, 72, 73, 74, 75, 77], "build": [2, 5, 9, 11, 14, 17, 24, 25, 26, 27, 32, 33, 34, 37, 42, 46, 51, 54, 55, 57, 59, 60, 63, 65, 66, 67, 72, 75, 76, 77], "certifi": [2, 9, 17, 24, 77], "rel": [2, 14, 17, 26, 35, 51, 53, 55, 59, 71], "effici": [2, 11, 12, 13, 17, 25, 29, 36, 57, 60, 64, 77], "function": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 31, 33, 35, 36, 37, 39, 42, 45, 46, 51, 52, 55, 57, 58, 59, 62, 64, 67, 71, 73, 77], "them": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "from": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75, 77], "either": [2, 5, 8, 11, 14, 17, 26, 28, 29, 31, 34, 35, 36, 37, 39, 40, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "proof": [2, 3, 6, 7, 9, 11, 13, 17, 24, 26, 29, 30, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 51, 52, 53, 55, 59, 61, 62, 64, 67, 72, 73, 74, 75, 76, 77], "specif": [2, 3, 5, 9, 11, 24, 28, 31, 32, 34, 35, 36, 39, 40, 42, 51, 52, 53, 55, 57, 58, 59, 60, 61, 64, 66, 67, 71, 77], "The": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 76, 77], "avail": [2, 9, 11, 12, 13, 17, 24, 25, 27, 30, 35, 36, 37, 38, 40, 42, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 71, 72, 74, 75, 76, 77], "output": [2, 3, 4, 11, 14, 17, 24, 33, 42, 51, 52, 53, 54, 59, 60, 64, 66, 71, 75], "ar": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 67, 71, 72, 73, 74, 75], "current": [2, 3, 4, 5, 8, 9, 10, 12, 14, 17, 24, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "ocaml": [2, 11, 17, 24, 25, 29, 32, 36, 51, 53, 54, 55, 63, 64, 66, 71, 73, 75], "haskel": [2, 13, 17, 24, 25, 57, 64, 77], "scheme": [2, 11, 17, 24, 25, 26, 27, 34, 37, 40, 46, 51, 57, 59, 62, 77], "follow": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "abus": [2, 55], "refer": [2, 3, 4, 5, 8, 10, 13, 14, 16, 24, 25, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 50, 51, 52, 53, 55, 57, 58, 60, 62, 64, 66, 67, 71, 72, 74, 75], "ani": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "three": [2, 4, 9, 11, 17, 24, 25, 34, 40, 52, 53, 54, 57, 59, 60, 67, 71], "chang": [2, 4, 5, 8, 9, 11, 13, 14, 25, 26, 28, 29, 31, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75], "version": [2, 3, 4, 7, 9, 13, 14, 15, 25, 29, 32, 35, 36, 37, 41, 46, 50, 51, 52, 57, 58, 59, 60, 62, 66, 73, 74, 75, 77], "8": [2, 3, 4, 13, 24, 25, 30, 35, 41, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 71, 75], "11": [2, 24, 25, 34, 53, 57, 60], "befor": [2, 4, 5, 13, 14, 17, 28, 29, 32, 34, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 74, 75], "describ": [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 24, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71, 72, 75], "thi": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76], "chapter": [2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 24, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 45, 52, 54, 55, 57, 58, 59, 61, 63, 65, 71, 72, 73, 75, 76], "framework": [2, 17, 24], "should": [2, 3, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "first": [2, 4, 5, 6, 8, 9, 11, 13, 14, 15, 17, 24, 25, 26, 27, 35, 37, 38, 40, 41, 42, 43, 44, 51, 52, 53, 55, 58, 59, 60, 62, 64, 65, 66, 67, 71, 72, 74, 75, 77], "load": [2, 3, 5, 6, 7, 11, 17, 24, 25, 27, 29, 34, 35, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "explicitli": [2, 4, 12, 13, 14, 17, 24, 27, 28, 29, 34, 38, 39, 43, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "via": [2, 5, 8, 11, 17, 35, 51, 53, 54, 55, 57, 59, 71, 72], "corelib": [2, 6, 9, 17, 35, 36, 51, 54, 57, 59, 64, 66], "requir": [2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 24, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "file": [2, 3, 5, 6, 7, 8, 9, 11, 17, 24, 25, 27, 29, 34, 35, 41, 54, 55, 57, 60, 64, 71, 72, 73, 76], "runtim": [2, 3, 5, 6, 11, 17, 29, 34, 51, 53, 54, 55, 57, 59, 60, 72, 73], "plugin": [2, 3, 5, 6, 11, 12, 17, 24, 25, 29, 33, 34, 35, 53, 54, 55, 57, 59, 60, 63, 66, 71, 72], "done": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 29, 30, 32, 34, 35, 38, 40, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 72, 75], "qualifi": [2, 17, 24, 25, 28, 32, 38, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71], "identifi": [2, 3, 9, 14, 17, 24, 25, 28, 29, 30, 31, 35, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 72, 75], "qualid": [2, 3, 4, 5, 10, 11, 13, 14, 17, 29, 35, 37, 39, 40, 41, 42, 46, 51, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 74], "can": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "kind": [2, 8, 10, 11, 17, 25, 27, 29, 34, 42, 46, 53, 55, 57, 59, 67, 72], "global": [2, 3, 4, 5, 8, 9, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 75], "object": [2, 3, 4, 8, 9, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42, 44, 51, 53, 55, 57, 59, 64, 67, 71, 72], "constant": [2, 4, 5, 6, 9, 10, 11, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 38, 41, 42, 44, 46, 51, 54, 55, 57, 58, 60, 64, 66, 67, 74], "constructor": [2, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 71, 74], "modul": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 25, 27, 28, 29, 32, 33, 36, 37, 38, 40, 41, 42, 44, 51, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "name": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 67, 71, 72, 74, 75], "recurs": [2, 5, 9, 17, 24, 25, 31, 32, 33, 37, 40, 41, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 75, 77], "string": [2, 11, 13, 14, 17, 25, 29, 40, 51, 53, 54, 55, 57, 59, 64, 66, 74, 75], "two": [2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75], "form": [2, 3, 4, 5, 6, 7, 9, 11, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "displai": [2, 9, 12, 14, 16, 17, 25, 35, 37, 41, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66], "term": [2, 3, 4, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 53, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75], "conveni": [2, 4, 6, 12, 17, 24, 28, 29, 33, 34, 35, 44, 46, 52, 53, 54, 57, 66, 67, 71], "preview": [2, 52], "result": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 27, 31, 32, 34, 39, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "second": [2, 3, 4, 8, 9, 10, 11, 13, 15, 17, 24, 25, 26, 28, 35, 37, 38, 40, 42, 44, 51, 52, 53, 55, 57, 59, 60, 64, 66, 67, 71, 75], "all": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73], "depend": [2, 3, 7, 8, 9, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 51, 52, 54, 55, 57, 60, 62, 64, 66, 71, 72, 77], "third": [2, 3, 17, 25, 40, 41, 44, 51, 52, 53, 54, 57, 58, 75], "produc": [2, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 29, 32, 34, 36, 38, 40, 41, 44, 52, 53, 54, 55, 57, 64, 66, 71, 72, 73, 74, 75], "singl": [2, 3, 4, 13, 14, 17, 24, 25, 28, 29, 30, 34, 35, 37, 40, 44, 46, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "specifi": [2, 3, 4, 5, 6, 8, 9, 11, 13, 17, 24, 25, 28, 29, 32, 34, 35, 36, 37, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "local": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 30, 31, 32, 34, 41, 42, 52, 55, 59, 62, 64, 66, 67, 75], "renam": [2, 17, 24, 25, 34, 37, 55, 57, 58, 59, 71, 74], "need": [2, 3, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 28, 29, 31, 32, 34, 35, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 76], "fulfil": [2, 17, 67], "syntact": [2, 3, 11, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 37, 39, 41, 57, 58, 59, 64, 66, 71, 74], "keep": [2, 3, 12, 14, 17, 24, 33, 34, 36, 42, 46, 52, 53, 55, 57, 64, 67], "origin": [2, 3, 4, 9, 11, 17, 24, 29, 31, 34, 38, 43, 44, 46, 53, 57, 58, 62, 64, 66, 67, 71], "much": [2, 11, 13, 17, 25, 33, 51, 53, 57, 59, 63, 64, 71], "possibl": [2, 3, 4, 5, 8, 9, 11, 13, 14, 17, 24, 27, 28, 31, 34, 35, 37, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "also": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "work": [2, 3, 4, 5, 9, 10, 12, 13, 17, 24, 25, 26, 27, 32, 35, 41, 42, 43, 46, 51, 52, 54, 55, 57, 58, 59, 64, 67, 71, 74, 77], "directori": [2, 14, 17, 24, 27, 35, 51, 52, 53, 59, 60, 71, 75], "It": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "inspect": [2, 17, 57, 59], "what": [2, 3, 5, 10, 13, 16, 17, 24, 25, 27, 29, 33, 34, 35, 41, 42, 46, 51, 53, 54, 55, 57, 59, 60, 64, 66, 67, 71], "pwd": [2, 14, 59], "cd": [2, 17, 53], "librari": [2, 5, 7, 8, 11, 25, 29, 35, 40, 41, 52, 54, 55, 57, 58, 64, 66, 67, 72, 75], "ident": [2, 3, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 43, 44, 46, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74], "whole": [2, 3, 9, 11, 17, 29, 40, 46, 51, 52, 53, 55, 57, 59, 71, 75], "v": [2, 3, 7, 8, 11, 12, 13, 14, 17, 24, 25, 26, 27, 34, 35, 37, 42, 44, 46, 51, 52, 53, 54, 58, 59, 67, 71, 75], "an": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 58, 60, 62, 63, 64, 66, 71, 72, 74, 75, 77], "clash": [2, 17, 53, 54, 57], "prefix": [2, 3, 9, 11, 14, 17, 24, 27, 28, 34, 35, 38, 40, 41, 42, 44, 51, 52, 54, 57, 58, 59, 64, 66, 67, 71, 75], "coq_": 2, "ensur": [2, 10, 13, 14, 17, 24, 30, 34, 39, 52, 55, 59, 64, 71, 72], "session": [2, 14, 17, 51, 52, 59], "independ": [2, 13, 14, 17, 24, 34, 51, 52, 53, 54, 55, 57, 67], "other": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 71, 72, 76], "separ": [2, 3, 10, 14, 17, 24, 25, 26, 29, 33, 34, 35, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 67, 71, 74], "mention": [2, 3, 14, 17, 24, 26, 34, 39, 44, 46, 51, 54, 57, 58, 60, 64, 66, 71], "just": [2, 3, 4, 8, 9, 11, 13, 17, 24, 28, 31, 34, 35, 37, 41, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "instead": [2, 3, 4, 7, 8, 11, 12, 13, 14, 17, 24, 26, 28, 33, 34, 35, 36, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "one": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 74, 75, 77], "monolith": [2, 17], "split": [2, 17, 25, 29, 34, 42, 51, 54, 57, 58, 60, 66, 67, 75], "per": [2, 3, 11, 17, 24, 52, 53, 57, 59, 71], "correspond": [2, 3, 8, 9, 11, 13, 14, 15, 17, 24, 26, 28, 33, 34, 35, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "henc": [2, 3, 4, 5, 8, 9, 13, 14, 17, 26, 34, 37, 42, 51, 53, 54, 57, 58, 64, 67, 71], "quit": [2, 3, 11, 13, 17, 25, 34, 42, 54, 55, 57, 60], "similar": [2, 3, 5, 9, 13, 17, 24, 26, 34, 35, 37, 38, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72, 74, 75], "except": [2, 3, 4, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 31, 34, 35, 36, 38, 40, 43, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 75], "onli": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "part": [2, 3, 10, 11, 13, 15, 17, 24, 25, 27, 29, 34, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 66, 67, 71, 72, 73, 74], "convent": [2, 17, 25, 33, 42, 51, 57, 59, 71], "same": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "meant": [2, 3, 14, 17, 55, 59, 64], "help": [2, 3, 8, 13, 14, 15, 16, 17, 24, 25, 27, 29, 41, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 67, 75], "automat": [2, 3, 5, 7, 9, 10, 13, 14, 17, 24, 25, 27, 28, 35, 37, 40, 42, 46, 52, 53, 54, 55, 57, 58, 60, 64, 65, 66, 71, 72, 75, 77], "test": [2, 3, 4, 9, 10, 11, 13, 17, 24, 25, 29, 30, 34, 42, 46, 55, 57, 59, 66], "see": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "instanc": [2, 4, 5, 10, 11, 12, 14, 17, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "suit": [2, 17, 53, 57, 58, 63], "sourc": [2, 4, 5, 14, 24, 25, 51, 52, 53, 55, 57, 71, 73], "testcompil": [2, 17], "temporari": [2, 14, 17, 24, 57], "Then": [2, 4, 5, 11, 14, 24, 26, 27, 29, 32, 34, 41, 42, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 74, 75], "its": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "signatur": [2, 3, 11, 17, 24, 34, 35, 54, 55, 59], "compil": [2, 3, 8, 9, 10, 11, 12, 24, 25, 26, 27, 29, 32, 35, 36, 38, 46, 54, 55, 57, 64, 66, 73, 74, 75, 77], "built": [2, 4, 11, 17, 24, 25, 26, 31, 32, 34, 37, 41, 42, 52, 53, 54, 58, 60, 61, 62, 67, 71, 72], "succe": [2, 3, 13, 17, 25, 44, 46, 51, 55, 57, 58, 59, 60, 62, 64, 66], "fail": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "show": [2, 3, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 27, 34, 35, 37, 38, 42, 51, 52, 53, 54, 57, 58, 59, 60, 64, 67, 71], "where": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 29, 30, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "deprec": [2, 4, 13, 17, 25, 28, 29, 32, 35, 41, 51, 55, 58, 59, 60, 64, 66, 71, 72], "sinc": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 28, 30, 34, 35, 37, 41, 42, 44, 46, 51, 52, 53, 54, 57, 58, 59, 60, 66, 67, 71, 74, 75], "20": [2, 3, 25, 46, 57, 67, 77], "line": [2, 8, 10, 12, 14, 24, 25, 26, 29, 42, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71], "If": [2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17, 26, 28, 29, 30, 32, 34, 35, 37, 38, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "accord": [2, 11, 17, 26, 34, 35, 41, 51, 53, 55, 57, 59, 60, 64, 71], "which": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 75], "valid": [2, 3, 4, 5, 8, 10, 11, 14, 17, 25, 26, 29, 32, 34, 35, 40, 42, 51, 54, 55, 57, 58, 59, 66, 71, 72], "path": [2, 4, 5, 17, 24, 25, 35, 51, 52, 54, 60], "otherwis": [2, 3, 9, 13, 14, 17, 28, 29, 34, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73], "doe": [2, 3, 4, 5, 8, 9, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 38, 39, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "json": [2, 17, 51, 53, 59], "abil": [2, 3, 11, 12, 13, 17, 30, 52], "most": [2, 3, 4, 10, 12, 17, 24, 27, 29, 34, 38, 41, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 63, 64, 66, 67, 71, 72, 73], "import": [2, 3, 4, 5, 7, 9, 11, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 40, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "default": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "mostli": [2, 3, 17, 24, 52, 57, 60], "develop": [2, 3, 12, 13, 14, 17, 24, 25, 27, 32, 35, 42, 44, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 74, 77], "debug": [2, 5, 9, 13, 14, 17, 24, 25, 28, 52, 53, 57, 58, 60, 62, 64, 66, 72], "contain": [2, 5, 7, 8, 10, 13, 14, 15, 17, 24, 27, 29, 30, 31, 34, 35, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "raw": [2, 14, 17, 54, 55, 71], "intermediari": [2, 64], "strict": [2, 5, 13, 14, 17, 24, 25, 31, 39, 41, 42, 54, 57, 58, 59, 60, 66, 71], "ha": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74], "order": [2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 32, 34, 35, 37, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 60, 61, 62, 64, 66, 67, 71, 72, 75, 77], "when": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 51, 52, 53, 54, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "principl": [2, 5, 17, 24, 25, 27, 30, 34, 37, 51, 57, 58, 63, 64, 71, 77], "do": [2, 3, 4, 7, 8, 10, 13, 14, 17, 24, 25, 29, 31, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "want": [2, 11, 13, 17, 34, 35, 36, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74], "comput": [2, 3, 7, 8, 9, 11, 17, 24, 25, 29, 30, 32, 34, 35, 36, 37, 41, 42, 46, 52, 55, 57, 59, 67, 71, 72, 77], "call": [2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 39, 40, 42, 44, 45, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72], "ones": [2, 3, 4, 6, 8, 13, 14, 17, 25, 28, 34, 35, 37, 44, 46, 52, 53, 54, 57, 58, 59, 63, 66, 67, 71, 75], "so": [2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 29, 31, 32, 34, 35, 36, 37, 38, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74, 75], "mechan": [2, 3, 4, 9, 10, 13, 17, 24, 25, 29, 34, 38, 41, 46, 51, 52, 53, 55, 59, 64, 65, 66, 71, 72, 77], "provid": [2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "routin": 2, "each": [2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 26, 29, 30, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "time": [2, 3, 5, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 36, 37, 41, 42, 44, 46, 52, 55, 57, 58, 59, 64, 66, 67, 71], "group": [2, 4, 17, 24, 37, 42, 52, 53, 54, 57, 58, 60], "preserv": [2, 5, 14, 17, 24, 25, 29, 30, 34, 42, 55, 57, 64, 67, 71], "essenti": [2, 17, 25, 34, 55, 57, 67, 71], "reduct": [2, 3, 9, 10, 11, 12, 17, 25, 26, 30, 32, 36, 41, 44, 46, 51, 53, 57, 58, 67, 77], "non": [2, 3, 4, 6, 8, 9, 10, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 35, 37, 40, 41, 46, 51, 52, 53, 57, 59, 60, 62, 64, 66, 72, 75], "abstract": [2, 4, 5, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 34, 35, 38, 42, 44, 54, 55, 58, 59, 64, 67, 71], "dummi": [2, 14, 17, 24, 55, 77], "remov": [2, 3, 4, 5, 11, 14, 17, 24, 29, 31, 37, 41, 46, 51, 52, 53, 55, 57, 58, 59, 60, 66, 67, 71, 72, 74, 75], "deem": [2, 51], "safe": [2, 11, 17, 34], "have": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "more": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "eleg": [2, 55, 59], "therefor": [2, 17, 29, 31, 37, 52, 53, 57, 58, 62, 72, 73], "mai": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75, 77], "appear": [2, 6, 9, 10, 11, 13, 14, 17, 24, 28, 29, 31, 34, 35, 37, 38, 39, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "modular": [2, 17, 24], "nevertheless": [2, 17], "print": [2, 5, 6, 8, 11, 12, 13, 17, 24, 25, 27, 29, 31, 34, 35, 36, 38, 39, 41, 42, 51, 52, 53, 57, 58, 60, 62, 64, 66, 67, 74], "concern": [2, 12, 17, 24, 26], "less": [2, 4, 8, 11, 14, 17, 24, 34, 46, 51, 53, 54, 55, 57, 59, 60, 64, 71, 77], "becaus": [2, 3, 4, 8, 11, 12, 14, 17, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 41, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "lazi": [2, 8, 9, 12, 17, 24, 55, 64], "still": [2, 3, 7, 9, 10, 13, 17, 24, 29, 32, 34, 36, 37, 38, 42, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 74], "make": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "readabl": [2, 17, 24, 29, 53, 57, 64, 71, 75], "control": [2, 3, 13, 14, 16, 17, 24, 25, 34, 37, 41, 51, 52, 53, 55, 60, 62, 67, 71, 75], "flag": [2, 4, 5, 8, 9, 10, 12, 13, 14, 16, 24, 25, 26, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71], "made": [2, 3, 14, 17, 24, 29, 34, 35, 38, 41, 46, 51, 53, 54, 55, 57, 58, 64, 66, 71, 72, 75], "beta": [2, 11, 17, 24, 55, 57, 58, 64, 71, 77], "redex": [2, 17, 25, 31, 34, 64, 71], "simplif": [2, 11, 17, 24, 25, 41, 54, 67], "etc": [2, 4, 9, 14, 17, 24, 25, 26, 27, 33, 35, 42, 44, 45, 51, 52, 53, 54, 55, 57, 59, 71, 75], "turn": [2, 8, 10, 12, 13, 14, 17, 24, 27, 29, 32, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "off": [2, 8, 10, 12, 13, 14, 17, 24, 29, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71], "you": [2, 3, 4, 7, 8, 10, 11, 13, 14, 15, 16, 17, 24, 25, 27, 29, 32, 34, 35, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "close": [2, 3, 4, 5, 7, 9, 11, 14, 17, 24, 28, 29, 32, 34, 35, 38, 44, 51, 52, 55, 57, 59, 60, 64, 66, 67, 71, 75], "conserv": [2, 17], "try": [2, 3, 11, 14, 17, 24, 25, 34, 35, 40, 41, 43, 46, 53, 55, 57, 60, 62, 64, 66, 67, 71], "sure": [2, 4, 17, 35, 52, 53, 58, 71], "impli": [2, 3, 10, 14, 17, 24, 30, 34, 57, 67, 71], "respect": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 34, 38, 40, 42, 44, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "keepsingleton": [2, 17], "normal": [2, 3, 4, 5, 11, 17, 24, 26, 29, 30, 31, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 64, 66, 67, 71, 72, 77], "singleton": [2, 13, 17, 24, 34, 54, 58], "structur": [2, 3, 4, 8, 9, 13, 17, 24, 25, 32, 34, 35, 36, 37, 38, 40, 44, 45, 53, 54, 58, 59, 66, 67, 71, 72, 77], "seen": [2, 4, 13, 14, 17, 24, 32, 34, 55, 57, 67, 71], "alia": [2, 17, 24, 29, 35, 46, 55, 58], "inner": [2, 14, 17, 35, 42, 43, 54, 55, 57, 59, 62, 64, 66, 67, 71, 75], "typic": [2, 4, 6, 12, 14, 17, 24, 28, 29, 30, 34, 35, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 67, 71], "sig": [2, 17, 27, 28, 35, 67, 71], "allow": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72], "disabl": [2, 8, 9, 12, 13, 14, 17, 25, 28, 32, 34, 35, 37, 44, 51, 52, 54, 57, 59, 64, 66], "wish": [2, 5, 17, 53], "autoinlin": [2, 17], "enabl": [2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 25, 29, 34, 37, 42, 51, 52, 53, 54, 57, 58, 59, 60, 67, 75], "bodi": [2, 4, 6, 13, 14, 17, 24, 32, 35, 37, 38, 41, 42, 44, 51, 55, 57, 58, 59, 64, 72, 75], "defin": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 62, 64, 66, 67, 71, 72, 74, 77], "heurist": [2, 5, 14, 17, 55, 57, 58, 66], "like": [2, 4, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 29, 32, 34, 35, 38, 39, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "size": [2, 3, 9, 13, 17, 24, 34, 37, 51, 52, 55, 57, 59, 64, 71, 72], "recursor": [2, 17], "_rect": [2, 17, 34, 35, 40, 71, 72], "_rec": [2, 34, 35, 40, 71, 72], "nat_rect": [2, 27, 34, 59], "project": [2, 3, 9, 10, 12, 13, 14, 15, 17, 24, 25, 27, 29, 30, 34, 40, 41, 42, 51, 52, 54, 55, 57, 59, 60, 64, 72, 73, 74, 76], "few": [2, 3, 17, 24, 27, 29, 34, 35, 36, 37, 51, 52, 53, 55, 57, 58, 71, 73, 75], "andb": [2, 13, 17, 27, 62], "orb": [2, 27, 57, 62], "behaviour": [2, 17, 38, 53], "well": [2, 3, 4, 8, 9, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 31, 32, 33, 35, 37, 39, 43, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 67, 71, 72, 74, 75], "found": [2, 4, 5, 9, 11, 13, 17, 25, 29, 30, 34, 35, 36, 38, 39, 42, 46, 51, 54, 55, 57, 58, 59, 62, 64, 67, 71, 72, 75], "combin": [2, 3, 5, 9, 12, 14, 17, 24, 25, 26, 27, 29, 34, 37, 40, 42, 46, 52, 53, 54, 55, 57, 59, 63, 64, 75], "featur": [2, 3, 8, 11, 17, 24, 25, 29, 32, 33, 35, 36, 44, 46, 51, 52, 53, 54, 55, 57, 59, 66, 71, 72, 73, 74, 76], "alwai": [2, 3, 4, 6, 9, 10, 11, 12, 13, 14, 17, 24, 26, 34, 35, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 71, 74, 75], "dure": [2, 9, 11, 13, 14, 17, 24, 25, 37, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "noinlin": 2, "convers": [2, 3, 7, 8, 9, 11, 12, 13, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 54, 55, 57, 58, 60, 66, 71, 75], "never": [2, 13, 14, 17, 24, 35, 41, 42, 44, 51, 54, 55, 57, 58, 60, 64], "state": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 27, 29, 31, 32, 37, 51, 52, 54, 55, 57, 58, 59, 62, 64, 67, 71], "tabl": [2, 3, 4, 16, 17, 24, 25, 27, 35, 37, 38, 46, 51, 53, 54, 55, 57, 59, 67, 71, 75], "record": [2, 3, 8, 10, 11, 12, 13, 14, 17, 24, 25, 30, 33, 34, 42, 54, 55, 57, 59, 60, 62, 67, 71], "custom": [2, 3, 11, 13, 17, 24, 25, 29, 36, 53, 54, 57], "declar": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 43, 46, 51, 53, 54, 58, 59, 60, 64, 71, 72, 75], "previou": [2, 3, 4, 8, 9, 11, 13, 15, 17, 24, 27, 29, 31, 34, 37, 40, 41, 42, 45, 46, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 74], "reset": [2, 17, 24, 29, 30, 34, 40, 41, 46, 51, 52, 54, 59, 72], "empti": [2, 3, 5, 7, 12, 13, 17, 24, 26, 34, 40, 43, 51, 53, 55, 57, 58, 59, 60, 67, 71, 72], "ask": [2, 3, 17, 25, 42, 43, 53], "mean": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 59, 64, 65, 66, 71], "both": [2, 3, 4, 11, 14, 17, 24, 25, 26, 27, 28, 29, 31, 34, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 61, 64, 66, 67, 73, 74], "But": [2, 11, 17, 34, 39, 41, 46, 51, 53, 54, 64, 75], "For": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "reason": [2, 3, 5, 9, 10, 11, 17, 24, 25, 34, 44, 51, 53, 54, 55, 57, 59, 62, 65, 71, 72, 75, 77], "decis": [2, 17, 24, 25, 58, 62, 64, 77], "taken": [2, 9, 13, 17, 24, 34, 36, 42, 44, 53, 57, 64, 67, 71], "whether": [2, 3, 9, 10, 12, 13, 14, 17, 29, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 71, 75], "occurr": [2, 3, 11, 14, 17, 24, 25, 26, 43, 44, 46, 52, 54, 55, 59, 60, 64, 71], "replac": [2, 3, 4, 7, 9, 10, 11, 17, 24, 25, 28, 31, 32, 34, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 74, 75], "manual": [2, 11, 24, 25, 29, 50, 52, 53, 57, 60, 66, 67, 71], "perform": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 26, 34, 41, 42, 46, 51, 54, 55, 57, 60, 62, 64, 66, 67, 71, 72], "wai": [2, 3, 5, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75], "complementari": [2, 17, 24, 42, 57], "main": [2, 8, 9, 11, 13, 17, 25, 27, 29, 34, 40, 41, 51, 52, 53, 54, 55, 57, 60, 64, 71], "logic": [2, 3, 9, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 34, 35, 39, 51, 57, 58, 59, 61, 66, 67, 75, 77], "implicit": [2, 3, 5, 9, 13, 17, 24, 25, 28, 33, 34, 37, 38, 42, 43, 45, 51, 53, 55, 57, 58, 59, 66, 67, 75], "integ": [2, 3, 7, 11, 14, 17, 24, 25, 29, 34, 39, 52, 53, 54, 55, 57, 59, 60, 64, 66], "thei": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 73, 74, 75], "omit": [2, 3, 8, 14, 17, 27, 28, 29, 30, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 75], "position": [2, 58], "start": [2, 3, 6, 8, 9, 13, 17, 24, 25, 26, 27, 29, 32, 34, 35, 37, 40, 41, 42, 44, 46, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 74, 75], "actual": [2, 3, 5, 8, 11, 14, 17, 24, 34, 37, 42, 43, 44, 46, 54, 55, 57, 60, 64, 67, 71, 72], "take": [2, 3, 5, 8, 11, 12, 13, 17, 24, 26, 28, 29, 31, 32, 37, 40, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71, 75], "place": [2, 3, 17, 32, 40, 43, 51, 53, 57, 58, 59, 64, 66, 67, 71, 75], "error": [2, 3, 4, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "rais": [2, 3, 10, 13, 17, 29, 35, 54, 55, 64, 72], "cannot": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 26, 28, 29, 32, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "honor": [2, 8, 17, 51, 57, 71], "occur": [2, 3, 4, 8, 17, 24, 26, 28, 30, 34, 37, 38, 41, 42, 44, 46, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "final": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 29, 35, 40, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 75], "behavior": [2, 3, 4, 11, 13, 14, 17, 24, 29, 30, 32, 34, 41, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 75], "relax": [2, 17, 30, 44, 53, 57, 60], "safeimplicit": 2, "warn": [2, 3, 4, 10, 12, 13, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 62, 66, 71, 72], "emit": [2, 10, 12, 13, 17, 34, 53, 71, 74], "obtain": [2, 3, 4, 5, 17, 34, 36, 54, 55, 57, 58, 64, 67, 72, 75], "nonetheless": [2, 17, 30, 32, 36, 51, 66], "review": [2, 17, 27], "locat": [2, 17, 24, 25, 35, 51, 52, 53, 54, 55], "issu": [2, 3, 24, 25, 46, 52, 54, 55, 58, 64, 66, 71, 73], "comment": [2, 5, 17, 24, 25, 29, 52, 54, 57, 60, 66, 75], "mark": [2, 12, 17, 24, 31, 35, 37, 38, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71], "remain": [2, 3, 9, 11, 13, 14, 17, 24, 34, 36, 39, 41, 42, 44, 46, 52, 57, 58, 64, 66], "note": [2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 77], "might": [2, 3, 5, 13, 17, 46, 51, 53, 55, 57, 62, 64, 67, 71, 72, 75], "run": [2, 5, 8, 9, 13, 14, 17, 24, 25, 29, 51, 53, 57, 59, 60, 64, 66, 71, 73], "properli": [2, 8, 9, 10, 17, 29, 52, 53, 57, 59, 66], "encount": [2, 11, 17, 52, 53, 54, 64], "inform": [2, 3, 4, 10, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 37, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 72, 75, 77], "remind": [2, 3, 57], "inconsist": [2, 8, 10, 12, 14, 17, 24, 26, 34, 39, 44, 51, 59, 66, 67, 71], "lead": [2, 10, 14, 17, 24, 26, 29, 34, 39, 57, 58, 60, 64, 71, 74, 75], "incorrect": [2, 8, 12, 14, 17, 25, 34, 37, 46, 52, 57, 66], "termin": [2, 8, 9, 17, 24, 25, 27, 29, 30, 32, 34, 35, 38, 52, 55, 59, 60, 66, 71, 72], "assum": [2, 3, 5, 11, 13, 17, 26, 27, 28, 32, 34, 35, 36, 38, 39, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71, 75], "while": [2, 3, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73], "proposit": [2, 3, 5, 10, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 39, 40, 51, 57, 58, 62, 64, 66, 67, 77], "perfectli": 2, "content": [2, 17, 24, 27, 32, 35, 42, 51, 52, 53, 54, 57, 59, 66, 71, 75], "must": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 37, 39, 40, 41, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "cours": [2, 14, 17, 24, 42, 51, 52, 57, 64, 71], "guess": [2, 4, 11, 17, 32, 43, 53, 57, 67], "tell": [2, 3, 11, 17, 24, 34, 41, 42, 44, 46, 51, 55, 57, 60, 64, 67, 71, 75], "given": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "tv": 2, "give": [2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 40, 41, 42, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 75], "ariti": [2, 17, 24, 25, 46, 55], "sequenc": [2, 3, 5, 17, 24, 25, 28, 29, 30, 46, 51, 57, 58, 59, 60, 64, 66, 71, 75], "product": [2, 3, 5, 10, 11, 13, 14, 17, 24, 26, 27, 28, 34, 36, 39, 40, 46, 54, 55, 57, 59, 60, 64, 66, 67, 71], "variabl": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 45, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 75], "quot": [2, 5, 13, 17, 24, 25, 28, 29, 44, 51, 55, 59, 66, 71, 75], "number": [2, 3, 4, 5, 7, 11, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 52, 53, 55, 57, 58, 59, 62, 64, 66, 67, 72, 74, 77], "check": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "y": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 77], "b": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 77], "recogn": [2, 4, 5, 8, 11, 17, 24, 29, 34, 46, 51, 52, 55, 62, 67, 71, 75], "becom": [2, 8, 11, 17, 24, 26, 28, 34, 35, 40, 44, 46, 52, 53, 55, 57, 58, 59, 64, 66, 67, 71], "int": [2, 3, 17, 36, 55, 71, 75], "0": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 41, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75, 77], "respons": [2, 10, 17, 52, 55, 75], "expect": [2, 3, 4, 11, 12, 14, 17, 24, 26, 29, 31, 32, 33, 34, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 60, 64, 67, 71], "fact": [2, 5, 11, 14, 17, 24, 28, 32, 34, 39, 41, 42, 46, 54, 55, 57, 58, 62, 64, 66, 67, 71, 75], "copi": [2, 17, 36, 46, 52, 53, 54, 57, 75], "everywher": [2, 17, 55, 58, 64], "being": [2, 3, 9, 11, 12, 13, 14, 17, 24, 32, 33, 34, 35, 37, 38, 40, 42, 46, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 72, 75], "sugar": [2, 7, 17, 28, 54, 55, 59, 77], "effect": [2, 3, 9, 11, 13, 14, 17, 24, 25, 29, 30, 34, 35, 38, 43, 51, 52, 53, 54, 57, 59, 64, 66, 71, 75], "alreadi": [2, 4, 13, 17, 24, 27, 28, 32, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 73], "foreign": [2, 17], "wa": [2, 3, 10, 11, 12, 17, 24, 27, 28, 29, 32, 34, 35, 37, 38, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72], "previous": [2, 13, 17, 28, 34, 38, 52, 54, 57, 59, 71], "would": [2, 3, 4, 11, 14, 17, 28, 29, 30, 31, 32, 34, 37, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "overrid": [2, 14, 17, 37, 51, 53, 57, 66, 67, 71], "been": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 73, 74], "definit": [2, 4, 8, 10, 11, 13, 17, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 38, 41, 42, 43, 44, 51, 53, 58, 59, 60, 62, 66, 67, 72, 73, 74, 75, 77], "fill": [2, 9, 13, 17, 25, 52, 55, 57, 62, 71], "label": [2, 8, 14, 17, 29, 54, 59], "TO": 2, "BE": 2, "search": [2, 4, 5, 7, 13, 17, 24, 25, 42, 44, 51, 52, 53, 61, 62, 64], "insid": [2, 3, 4, 8, 9, 13, 14, 17, 24, 25, 28, 29, 34, 35, 38, 46, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "real": [2, 3, 7, 11, 24, 25, 34, 46, 53, 55, 66, 67, 71], "nativ": [2, 5, 10, 12, 24, 25, 36, 51, 55, 58, 59, 64], "boolean": [2, 5, 9, 11, 13, 14, 17, 24, 25, 27, 29, 34, 37, 39, 40, 42, 55, 59, 60, 62, 64, 67, 71], "syntax": [2, 4, 5, 6, 8, 9, 11, 13, 14, 25, 26, 27, 30, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 51, 52, 53, 58, 59, 60, 63, 64, 66, 75, 77], "itself": [2, 3, 8, 9, 11, 12, 13, 14, 17, 30, 34, 39, 40, 41, 42, 43, 44, 51, 53, 54, 55, 57, 58, 60, 63, 64, 67, 71], "initi": [2, 6, 7, 11, 13, 17, 24, 27, 29, 38, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "datatyp": [2, 17, 24, 25, 26, 35, 44, 46, 54, 55, 57, 59, 60, 67, 71], "pattern": [2, 9, 13, 17, 24, 25, 27, 28, 30, 32, 34, 40, 41, 42, 45, 60, 64, 67, 72, 77], "charact": [2, 8, 10, 13, 14, 17, 24, 25, 27, 29, 35, 36, 40, 44, 46, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "char": [2, 17, 53], "prelud": [2, 17, 25, 29, 51, 59, 66], "liter": [2, 5, 17, 29, 36, 42, 54, 55, 57, 71], "handl": [2, 3, 8, 9, 11, 17, 24, 26, 37, 43, 46, 53, 55, 57, 58, 59, 61, 62, 66, 67, 71], "special": [2, 3, 4, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29, 34, 51, 52, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "design": [2, 8, 11, 17, 24, 25, 37, 44, 57, 64, 71, 77], "regist": [2, 3, 4, 5, 7, 9, 11, 13, 17, 25, 32, 42, 57, 64, 67, 71, 72], "standard": [2, 3, 5, 9, 14, 25, 27, 29, 35, 36, 40, 51, 52, 53, 54, 58, 59, 62, 64, 65, 66, 67, 72, 73, 74, 75], "indic": [2, 8, 11, 12, 13, 14, 17, 24, 26, 31, 34, 35, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 62, 64, 66, 67, 71], "how": [2, 7, 8, 13, 17, 24, 25, 27, 29, 30, 34, 35, 37, 42, 43, 45, 51, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 74, 77], "over": [2, 3, 11, 14, 17, 24, 25, 26, 27, 28, 30, 32, 34, 37, 38, 39, 40, 41, 42, 44, 46, 52, 53, 54, 58, 59, 60, 61, 62, 64, 66, 67], "could": [2, 3, 4, 5, 6, 11, 12, 17, 24, 29, 31, 34, 37, 42, 46, 51, 52, 55, 57, 58, 60, 62, 66, 71, 72, 73], "arbitrari": [2, 3, 5, 10, 11, 14, 17, 24, 31, 44, 46, 53, 57, 60, 62, 71], "k": [2, 3, 6, 14, 17, 24, 26, 34, 42, 54, 57, 67, 72, 77], "emul": [2, 12, 17, 40, 57], "branch": [2, 5, 9, 17, 25, 34, 40, 45, 46, 55, 59, 60, 66, 67, 72], "element": [2, 3, 11, 12, 17, 25, 26, 27, 34, 35, 36, 46, 57, 59, 60, 71], "destruct": [2, 13, 17, 24, 25, 34, 54, 55, 57, 58, 64, 71], "foo": [2, 11, 14, 17, 29, 35, 38, 40, 43, 51, 52, 53, 55, 57, 58, 59, 64, 66, 71, 74, 75], "fun": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 75], "consid": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 34, 37, 41, 42, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 73, 75], "unit": [2, 12, 13, 14, 17, 27, 34, 40, 46, 53, 54, 55, 57, 62, 64, 71], "block": [2, 9, 10, 14, 17, 25, 29, 30, 34, 37, 38, 44, 46, 54, 64, 65, 67], "earli": [2, 15, 17, 25, 26, 54, 64], "evalu": [2, 3, 9, 11, 17, 24, 25, 28, 30, 34, 35, 41, 53, 57, 60, 64, 71], "bar": [2, 8, 14, 17, 29, 35, 51, 52, 53, 55, 57, 64, 66, 71, 74], "As": [2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 26, 28, 30, 34, 36, 37, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72], "care": [2, 13, 14, 17, 46, 53, 54, 64, 67, 71, 75], "pre": [2, 17, 25, 53, 60], "sound": [2, 17, 34], "ad": [2, 4, 9, 13, 14, 17, 24, 25, 29, 34, 37, 42, 44, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 77], "hoc": [2, 3, 17, 71, 77], "often": [2, 3, 10, 13, 14, 17, 25, 28, 43, 46, 52, 53, 54, 55, 57, 58, 66], "fulli": [2, 3, 8, 17, 24, 26, 28, 31, 32, 35, 38, 44, 51, 52, 53, 54, 55, 58, 59, 64, 66, 71, 72], "rigor": [2, 24], "correct": [2, 8, 9, 11, 17, 24, 25, 28, 32, 35, 46, 51, 53, 57, 59, 64, 66, 67, 71], "theoret": [2, 17, 24, 31, 39, 77], "valu": [2, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 42, 43, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "larger": [2, 13, 14, 17, 25, 51, 52, 57, 60, 71, 75], "than": [2, 3, 5, 8, 11, 12, 13, 14, 17, 24, 29, 30, 31, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "max_int": 2, "overflow": [2, 17, 59, 66, 71], "bad": [2, 11, 12, 14, 17, 34, 59, 64], "event": [2, 17, 51], "practic": [2, 3, 5, 17, 24, 25, 32, 34, 39, 42, 53, 55, 57, 58, 64, 66, 71, 74, 77], "translat": [2, 3, 17, 24, 25, 33, 41, 45, 57, 71, 75], "magic": [2, 17, 24, 55, 59], "improv": [2, 3, 8, 11, 17, 24, 29, 52, 54, 57, 67], "asymptot": [2, 59], "complex": [2, 11, 17, 24, 25, 29, 33, 35, 52, 54, 55, 57, 59, 61, 63, 66, 67], "represent": [2, 3, 5, 11, 12, 17, 24, 29, 34, 37, 51, 53, 57, 64, 71], "mul": [2, 5, 17, 36, 52, 57, 59, 71], "stai": [2, 27], "quadrat": [2, 17], "interest": [2, 4, 5, 11, 17, 24, 31, 42, 54, 57, 67], "associ": [2, 3, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67], "primit": [2, 10, 12, 13, 14, 17, 24, 25, 27, 30, 33, 34, 41, 46, 54, 55, 57, 64, 67], "counterpart": [2, 3, 9, 11, 17, 30, 34, 57], "bool": [2, 3, 4, 5, 12, 13, 17, 24, 27, 30, 35, 36, 37, 40, 41, 42, 44, 46, 55, 57, 58, 59, 60, 71], "true": [2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 26, 27, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 62, 64, 67, 71, 74], "fals": [2, 4, 5, 9, 10, 12, 13, 17, 24, 27, 34, 37, 40, 41, 46, 51, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71], "sumbool": [2, 27, 46, 71], "enclos": [2, 29, 41, 53, 54, 55, 66, 71, 75], "parenthes": [2, 3, 8, 17, 24, 28, 29, 35, 37, 46, 54, 55, 57, 58, 67, 71], "meet": [2, 9, 71], "lexic": [2, 17, 25, 51, 59, 71, 75], "criteria": [2, 17, 72], "infix": [2, 14, 17, 24, 25, 27, 42, 57, 58, 64, 74], "symbol": [2, 3, 11, 14, 17, 24, 25, 27, 28, 29, 31, 41, 42, 43, 46, 57, 59, 60, 62, 64, 67, 71, 75, 77], "rest": [2, 3, 13, 17, 26, 29, 36, 42, 52, 57, 66], "prod": [2, 17, 26, 27, 34, 46, 62, 67], "caveat": [2, 17, 25, 55, 57, 60], "abov": [2, 3, 5, 11, 13, 14, 17, 24, 28, 30, 34, 37, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 75], "succ": [2, 24, 54, 59, 64], "fo": 2, "els": [2, 4, 9, 11, 12, 13, 17, 29, 30, 35, 40, 41, 46, 52, 54, 55, 57, 59, 62, 67, 71, 75], "interfac": [2, 17, 24, 25, 35, 52, 53, 66, 74, 75, 76], "link": [2, 16, 17, 24, 27, 46, 53, 57, 72, 75], "linker": [2, 24], "know": [2, 8, 17, 24, 27, 32, 34, 42, 46, 52, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71], "extern": [2, 5, 11, 13, 17, 29, 33, 52, 54, 55, 59, 60, 63, 66, 73, 74, 75], "shall": [2, 17, 24, 26, 31, 34, 39, 42, 57, 71], "access": [2, 5, 14, 17, 24, 25, 28, 32, 33, 34, 35, 36, 38, 44, 51, 52, 53, 55, 57, 59, 71], "callback": [2, 17], "referenc": [2, 17, 53, 71], "stdlib": [2, 3, 5, 7, 9, 11, 12, 14, 17, 27, 28, 29, 35, 51, 53, 54, 55, 57, 59, 60, 64, 67, 72, 75], "f_impl": 2, "compat": [2, 3, 4, 13, 14, 24, 25, 29, 34, 42, 51, 52, 53, 58, 62, 63, 64, 71], "support": [2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 24, 25, 30, 32, 34, 35, 36, 37, 40, 41, 42, 44, 51, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76], "thrown": 2, "after": [2, 4, 5, 7, 8, 9, 11, 13, 17, 24, 29, 32, 34, 35, 38, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "callabl": 2, "express": [2, 3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 39, 40, 41, 43, 44, 57, 58, 59, 60, 64, 66, 67, 75], "signal": [2, 8, 17, 57], "alias": [2, 17, 24, 25, 29, 35, 55], "uniqu": [2, 3, 12, 13, 17, 24, 31, 35, 38, 57, 59, 67, 71], "multipl": [2, 3, 4, 9, 14, 17, 24, 25, 27, 29, 34, 35, 40, 44, 52, 58, 59, 60, 64, 66, 67, 71], "expos": [2, 17, 25, 40, 41, 57, 71], "share": [2, 11, 13, 14, 17, 24, 28, 29, 34, 46, 51, 52, 53, 57, 59, 60, 64, 67, 71], "impact": [2, 17, 53, 66, 71], "synthesis": 2, "thu": [2, 3, 4, 5, 10, 12, 17, 24, 32, 34, 42, 43, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "safeti": 2, "registr": [2, 17, 25], "usabl": [2, 17, 24, 38, 52, 66, 67, 71], "togeth": [2, 3, 9, 17, 24, 25, 27, 31, 34, 35, 43, 53, 54, 55, 57, 66, 71, 75], "map": [2, 3, 5, 13, 17, 24, 25, 26, 34, 35, 36, 39, 41, 44, 51, 53, 57, 58, 59, 60, 71, 72, 75], "directli": [2, 3, 4, 9, 13, 14, 17, 24, 27, 28, 34, 43, 51, 52, 53, 55, 57, 58, 60, 64, 67, 72, 75], "happen": [2, 4, 9, 10, 13, 17, 34, 38, 46, 52, 54, 55, 57, 58, 64, 71, 72], "instruct": [2, 5, 17, 53, 58, 59], "particular": [2, 3, 6, 9, 10, 12, 13, 17, 29, 30, 31, 32, 33, 34, 37, 38, 40, 42, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71, 75], "blacklist": [2, 17, 59], "includ": [2, 3, 5, 8, 9, 12, 13, 14, 17, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 43, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 73, 75], "natur": [2, 5, 7, 9, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 34, 35, 37, 39, 40, 42, 44, 46, 52, 53, 57, 58, 59, 62, 64, 66, 71, 72], "finer": [2, 17, 34, 57], "grain": [2, 17, 41], "bit": [2, 5, 17, 29, 30, 34, 36, 51, 53, 66, 71, 75, 77], "mask": [2, 35], "unless": [2, 3, 13, 14, 17, 29, 40, 41, 42, 44, 51, 52, 57, 58, 64, 71, 72, 75], "treatment": [2, 9, 17, 40], "fixpoint": [2, 3, 10, 13, 17, 24, 25, 27, 29, 30, 31, 32, 37, 38, 41, 44, 46, 52, 57, 59, 64, 66, 67, 71, 72], "simplifi": [2, 11, 17, 24, 41, 54, 57, 64, 67], "redux": 2, "factor": [2, 5, 11, 17, 25, 34, 45], "16": [2, 25, 53, 54, 57, 71], "32": [2, 17, 36, 51, 53, 66], "6": [2, 9, 25, 29, 35, 53, 54, 55, 57, 58, 71, 74, 77], "64": [2, 36, 51, 66], "swap": [2, 17, 54, 57, 58], "lambda": [2, 3, 10, 11, 17, 31, 52, 55, 64, 67, 71, 77], "7": [2, 11, 25, 54, 57, 64, 71, 74, 75, 77], "128": 2, "256": 2, "push": [2, 17, 57, 71], "9": [2, 24, 25, 29, 30, 35, 53, 54, 57, 64, 71, 74, 77], "512": 2, "linear": [2, 3, 11, 14, 17, 24, 25, 46, 51, 54, 55, 57, 64], "10": [2, 5, 24, 25, 29, 31, 52, 54, 57, 59, 60, 64, 71, 74, 77], "1024": 2, "typeexpand": 2, "expand": [2, 13, 14, 17, 28, 29, 30, 31, 35, 37, 41, 46, 52, 54, 55, 57, 58, 64, 67, 71], "learn": [2, 17, 25, 54, 72], "written": [2, 3, 5, 11, 13, 17, 24, 26, 28, 29, 34, 35, 36, 37, 42, 43, 44, 46, 52, 53, 54, 55, 57, 59, 64, 71, 73, 74], "due": [2, 3, 13, 14, 17, 24, 27, 30, 34, 46, 52, 54, 55, 59, 64, 66, 67, 71, 72, 73], "typabl": [2, 4, 34], "now": [2, 3, 4, 11, 13, 14, 17, 24, 26, 27, 30, 34, 35, 41, 42, 46, 51, 52, 53, 54, 55, 57, 59, 60, 64, 67, 71, 72, 74], "solv": [2, 3, 5, 7, 11, 13, 17, 24, 25, 39, 42, 44, 57, 60, 61, 62, 64, 67], "problem": [2, 4, 7, 9, 13, 17, 24, 29, 34, 42, 44, 46, 51, 52, 53, 54, 58, 62, 66, 67], "least": [2, 3, 12, 13, 17, 25, 28, 29, 30, 34, 41, 46, 52, 53, 57, 58, 64, 66, 67, 71, 72, 74, 75], "unsaf": [2, 17, 55, 66], "cast": [2, 12, 17, 25, 40, 46, 54, 55, 57, 58, 60, 64, 71], "obj": [2, 24, 42], "veri": [2, 8, 9, 11, 13, 17, 24, 25, 27, 29, 34, 42, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67], "polymorph": [2, 3, 13, 17, 24, 25, 26, 29, 30, 31, 32, 33, 37, 39, 40, 41, 44, 46, 51, 59, 66, 67, 71], "alright": 2, "refus": [2, 3, 64], "checker": [2, 9, 11, 17, 24, 25, 26, 29, 33, 73], "known": [2, 8, 10, 12, 13, 17, 24, 27, 30, 33, 34, 39, 41, 44, 51, 55, 57, 66, 71], "distr": 2, "dp": [2, 17], "foral": [2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "direct": [2, 9, 12, 16, 17, 24, 31, 34, 42, 46, 52, 53, 57, 58, 71], "restrict": [2, 3, 12, 14, 17, 24, 26, 34, 35, 40, 51, 54, 57, 58, 59, 60, 62, 67, 71], "secondli": [2, 17], "quantif": [2, 3, 4, 13, 14, 17, 24, 26, 27, 28, 60, 67], "anyth": [2, 13, 17, 35, 44, 46, 51, 55, 57, 58, 64, 75], "anything_rect": 2, "anything_ind": 2, "anything_rec": 2, "anything_sind": 2, "dynam": [2, 11, 13, 17, 25, 36, 59, 71], "gadt": 2, "yet": [2, 17, 42, 43, 46, 51, 52, 54, 55, 57, 58, 60, 66, 71, 72], "those": [2, 3, 5, 10, 11, 12, 17, 24, 26, 33, 34, 35, 37, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "get": [2, 5, 9, 11, 13, 14, 17, 24, 25, 28, 29, 34, 36, 42, 51, 52, 53, 55, 58, 59, 60, 64, 66, 67], "segment": [2, 17, 24, 52, 59, 71], "fault": [2, 24, 71], "your": [2, 3, 8, 11, 14, 15, 17, 25, 29, 51, 52, 54, 55, 57, 58, 59, 60, 62, 66, 71, 73, 74, 75], "seem": [2, 5, 17, 71], "ill": [2, 4, 9, 10, 17, 24, 26, 30, 34, 51, 55, 64, 71, 72], "go": [2, 5, 9, 17, 24, 30, 42, 51, 52, 54, 55, 57, 59, 60, 64, 67, 71, 75], "wrong": [2, 3, 17, 24, 44, 51, 54, 66, 72], "come": [2, 6, 8, 13, 17, 24, 27, 34, 43, 51, 52, 54, 55, 57, 59, 60, 64, 71], "Of": [2, 14, 42, 51, 57], "launch": [2, 13, 17, 25, 52, 53], "appli": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 51, 53, 54, 55, 59, 60, 62, 66, 71, 72, 75], "shape": [2, 3, 57], "point": [2, 3, 11, 13, 17, 24, 25, 26, 32, 34, 35, 36, 39, 51, 52, 53, 54, 55, 57, 66, 71], "view": [2, 11, 17, 25, 26, 29, 32, 34, 39, 41, 52, 55, 60, 66], "about": [2, 3, 5, 11, 13, 14, 15, 17, 24, 25, 29, 30, 34, 37, 39, 41, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72], "let02": [2, 77], "sai": [2, 3, 4, 17, 24, 26, 27, 28, 29, 31, 34, 42, 52, 53, 54, 55, 57, 58, 64, 71, 74], "though": [2, 8, 9, 17, 24, 29, 35, 37, 46, 51, 53, 54, 55, 64, 67, 71], "realist": [2, 42], "accept": [2, 3, 8, 13, 17, 24, 28, 29, 30, 32, 34, 40, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 72], "without": [2, 3, 5, 8, 9, 11, 13, 14, 17, 24, 26, 29, 32, 33, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75, 77], "below": [2, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 31, 34, 35, 38, 40, 41, 43, 51, 52, 53, 54, 55, 57, 64, 66, 71, 72, 74, 75], "choos": [2, 3, 17, 32, 34, 42, 43, 52, 53, 54, 57, 58, 67, 71, 72, 75], "everyth": [2, 17, 52, 53], "slight": [2, 17, 24, 58], "modif": [2, 4, 11, 17, 36, 41, 58, 71], "find": [2, 3, 4, 5, 7, 11, 13, 14, 16, 17, 25, 27, 29, 34, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 72, 77], "Its": [2, 3, 11, 17, 24, 52, 55, 57, 60, 67, 74], "euclid": [2, 17, 24], "unari": [2, 3, 26, 29, 34, 64], "repres": [2, 3, 5, 11, 13, 14, 17, 24, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71], "theorem": [2, 5, 7, 8, 11, 12, 17, 24, 25, 27, 29, 32, 33, 35, 37, 38, 42, 43, 51, 52, 57, 59, 60, 62, 65, 66, 71, 73, 74, 75, 77], "eucl_dev": 2, "whose": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 46, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 75], "diveucl": 2, "quotient": [2, 5, 17, 40, 57, 64], "modulo": [2, 4, 5, 11, 17, 24, 34, 54, 57, 58, 59, 71], "assert": [2, 17, 24, 25, 26, 28, 34, 41, 54, 55, 57, 58, 62, 64, 66, 67, 71], "disappear": [2, 17, 24, 34, 55, 60, 67, 71], "wf_nat": [2, 17, 24], "gt_wf_rec": 2, "lt_wf_rec": [2, 24], "induction_ltof2": 2, "val": [2, 34, 55, 57], "sub": [2, 4, 8, 17, 36, 41, 46, 51, 53, 54, 57, 59, 60, 67, 71], "rec": [2, 17, 24, 35, 54, 55, 75], "le_lt_dec": [2, 17, 24], "n0": [2, 9, 31, 46, 57, 58, 67, 72], "n1": [2, 9, 34, 53, 57, 72], "le_gt_dec": 2, "divex": 2, "d": [2, 4, 5, 11, 14, 17, 24, 26, 34, 46, 51, 52, 53, 54, 57, 58, 62, 67, 75, 77], "q": [2, 3, 5, 7, 10, 11, 12, 17, 24, 27, 34, 35, 46, 51, 53, 54, 55, 57, 58, 59, 67, 71, 75], "r": [2, 3, 5, 7, 9, 11, 13, 14, 17, 24, 27, 28, 34, 35, 37, 41, 44, 51, 53, 54, 57, 58, 59, 60, 64, 67, 71, 72, 75, 77], "mandatori": [2, 8, 17, 32, 57, 66, 71], "enhanc": [2, 17, 52, 57], "past": [2, 17, 52, 64], "u": [2, 3, 4, 9, 10, 11, 14, 17, 24, 26, 27, 31, 34, 35, 38, 39, 41, 42, 46, 51, 53, 54, 55, 57, 58, 62, 64, 67, 71], "plai": [2, 17, 26, 42, 64, 66], "toplevel": [2, 10, 13, 14, 17, 24, 25, 27, 29, 35, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 71, 72, 74], "easier": [2, 10, 17, 24, 45, 52, 57, 58, 67, 71], "nat_of_int": 2, "int_of_nat": 2, "div": [2, 3, 5, 11, 17, 59], "173": [2, 14], "15": [2, 13, 25, 52, 53, 57, 66], "mere": [2, 17, 55, 57, 64, 71], "extrocamlintconv": 2, "concret": [2, 13, 14, 17, 25, 26, 29, 34, 42, 46, 51, 57, 64, 71], "patholog": 2, "success": [2, 3, 4, 5, 13, 17, 24, 25, 34, 51, 52, 55, 57, 59, 60, 62, 64, 66, 67, 74], "sever": [2, 3, 4, 5, 11, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 64, 65, 67, 71, 72, 75, 76], "chain": [2, 17, 25, 51, 64, 71, 74], "http": [2, 5, 17, 24, 25, 27, 50, 51, 52, 53, 59, 64, 75, 77], "github": [2, 5, 17, 51, 52], "com": [2, 5, 17, 51, 52, 54], "coq": [2, 8, 9, 11, 13, 15, 17, 25, 26, 29, 30, 46, 51, 53, 54, 55, 57, 58, 59, 63, 66, 71, 72, 73, 75, 76, 77], "commun": [2, 17, 24, 27, 29, 51], "hydra": 2, "battl": 2, "bdd": 2, "contrib": [2, 17, 24, 53, 55], "canon": [2, 4, 5, 11, 13, 17, 24, 25, 30, 32, 34, 35, 37, 38, 44, 45, 53, 57, 59, 71, 77], "chines": [2, 24], "continu": [2, 17, 24, 52, 53, 54, 55, 57, 71, 73], "fire": [2, 14, 17], "squad": 2, "founifi": 2, "graph": [2, 14, 17, 24, 25, 39, 54, 72], "higman": 2, "cf": [2, 9, 17, 24, 29, 34, 40, 42, 46, 59, 67], "nw": 2, "hardwar": [2, 8, 24], "multipli": [2, 57], "stalmarck": [2, 24], "probabl": [2, 17, 32, 44, 51, 54, 57, 58, 59, 75], "heavi": 2, "impred": [2, 12, 14, 17, 24, 25, 34, 51, 53, 77], "thank": [2, 5, 12, 17, 24, 34, 42, 55, 57, 64, 71], "matthieu": [3, 9, 14, 17, 77], "sozeau": [3, 9, 14, 17, 77], "equal": [3, 5, 8, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 39, 40, 42, 44, 46, 52, 54, 55, 57, 58, 60, 61, 65, 71, 72, 77], "equip": [3, 4, 17, 24, 27, 36, 42, 64], "equival": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 46, 51, 52, 53, 54, 55, 59, 60, 62, 64, 66, 67, 71, 75], "behav": [3, 11, 17, 24, 28, 29, 31, 34, 35, 43, 53, 54, 55, 57, 58, 60, 62, 64, 67, 71], "weaker": [3, 17, 24, 60], "g": [3, 4, 5, 8, 9, 10, 13, 14, 17, 24, 27, 28, 29, 30, 31, 34, 35, 36, 41, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "system": [3, 8, 9, 11, 17, 24, 25, 26, 27, 28, 29, 32, 33, 34, 38, 39, 46, 51, 52, 53, 54, 55, 57, 59, 60, 62, 71, 73, 77], "toolbox": [3, 17], "extend": [3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 37, 40, 41, 42, 45, 51, 52, 53, 55, 59, 60, 71, 77], "capabl": [3, 17, 51, 53, 54, 55, 64], "document": [3, 8, 9, 11, 12, 16, 17, 24, 25, 42, 51, 52, 54, 55, 57, 59, 64, 65, 66, 67, 71, 72, 74, 76], "adapt": [3, 7, 17, 24, 51, 57, 63], "claudio": [3, 17, 24], "sacerdoti": [3, 17, 24], "coen": [3, 17, 24], "base": [3, 5, 10, 11, 12, 13, 14, 17, 24, 25, 29, 33, 35, 39, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75, 77], "cl\u00e9ment": [3, 17], "renard": [3, 24], "implement": [3, 8, 11, 12, 13, 17, 24, 25, 29, 34, 35, 36, 37, 39, 43, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 77], "drop": [3, 17, 51, 54, 59, 71], "old": [3, 11, 24, 25, 51, 53, 55, 58, 60, 66, 67], "complet": [3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 30, 32, 34, 36, 40, 42, 51, 52, 53, 54, 57, 58, 59, 60, 62, 66, 67, 71], "typeclass": [3, 4, 5, 7, 17, 25, 35, 37, 38, 44, 45, 58, 60, 64, 66, 71], "infrastructur": [3, 25, 42, 53], "algorithm": [3, 7, 9, 11, 13, 17, 24, 25, 41, 51, 54, 57, 59, 62, 66, 77], "constraint": [3, 5, 8, 9, 10, 13, 17, 24, 25, 34, 35, 39, 43, 44, 51, 53, 54, 55, 58, 67, 71], "ml": [3, 5, 6, 8, 11, 17, 24, 25, 26, 29, 34, 36, 46, 51, 52, 53, 54, 57, 59, 60, 63, 64, 72, 77], "resolut": [3, 13, 17, 24, 25, 58, 60, 66, 71, 75], "anoth": [3, 4, 9, 11, 13, 14, 17, 24, 27, 31, 32, 34, 35, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 63, 64, 66, 67, 71], "pure": [3, 7, 11, 17, 55, 57, 64, 71, 72, 75], "again": [3, 13, 17, 24, 34, 42, 52, 53, 55, 57, 60, 64, 66, 71], "ordinari": [3, 17, 26, 37, 39, 71], "rocq": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 50, 52, 54, 55, 58, 59, 62, 63, 64, 65, 66, 67, 72, 73, 76], "manipul": [3, 9, 10, 17, 24, 25, 34, 37, 39, 55, 57, 63, 77], "put": [3, 5, 13, 14, 17, 34, 35, 43, 51, 53, 54, 57, 58, 59, 60, 66, 67, 71, 72, 75], "lemma": [3, 5, 11, 13, 14, 17, 24, 25, 32, 34, 35, 36, 38, 42, 44, 46, 54, 57, 58, 59, 60, 62, 64, 67, 72], "prove": [3, 5, 7, 8, 9, 11, 17, 24, 25, 27, 30, 32, 34, 35, 42, 43, 57, 58, 60, 62, 64, 72, 77], "higher": [3, 14, 17, 24, 25, 27, 40, 51, 54, 57, 58, 59, 60, 64, 67, 71, 73, 77], "depth": [3, 5, 13, 17, 29, 54, 57, 58, 59, 60, 62, 64, 71, 75], "solut": [3, 5, 13, 17, 42, 44, 58, 59, 63, 67], "fast": [3, 17, 24, 25, 53], "besid": [3, 17, 24, 34, 57], "necessari": [3, 4, 9, 13, 17, 24, 29, 31, 33, 37, 53, 55, 57, 59, 62, 64, 67, 71], "nicola": [3, 17, 77], "tabareau": [3, 17, 77], "glu": 3, "A": [3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76, 77], "x1": [3, 9, 13, 17, 27, 42, 54, 57, 59, 60, 72], "t1": [3, 13, 17, 34, 42, 46, 57], "xn": [3, 9, 17, 57], "tn": [3, 13, 17, 57], "carrier": [3, 11, 14, 42, 57], "said": [3, 4, 17, 26, 34, 36, 42, 44, 55, 59, 71], "possibli": [3, 4, 17, 24, 34, 35, 42, 43, 51, 53, 54, 57, 59, 64, 67, 71, 73], "paramet": [3, 4, 5, 7, 8, 12, 13, 14, 17, 24, 25, 28, 29, 34, 37, 40, 41, 42, 43, 44, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 72], "finit": [3, 5, 17, 24, 30, 34], "unord": [3, 17, 57], "set_eq": 3, "satisfi": [3, 4, 5, 11, 13, 14, 17, 30, 34, 35, 54, 55, 59, 64, 67, 71], "convert": [3, 4, 12, 13, 14, 17, 25, 26, 34, 37, 41, 44, 54, 55, 57, 58, 64, 67], "reflex": [3, 5, 6, 11, 13, 17, 24, 27, 34, 36, 51, 54, 57, 59, 60, 62, 64, 66, 67, 71], "symmetri": [3, 17, 24, 34, 44, 57, 60, 64], "transit": [3, 7, 8, 13, 14, 17, 24, 25, 26, 35, 41, 44, 51, 54, 57, 58, 59, 60, 64, 66, 74], "symmetr": [3, 17, 24, 31, 59, 64, 71], "a1": [3, 27, 34, 46, 57, 58, 71], "a2": [3, 27, 34, 58], "covariantli": 3, "r1": [3, 5, 17, 27, 41, 44, 57, 59], "r2": [3, 17, 27, 41, 44, 57, 59], "whenev": [3, 7, 14, 17, 27, 29, 42, 55, 57, 62, 64, 67, 71], "imag": [3, 11, 17, 24, 51, 52, 66], "input": [3, 4, 9, 10, 13, 14, 17, 25, 27, 29, 35, 44, 46, 51, 54, 57, 58, 60, 64, 71, 72, 74, 75], "monoton": [3, 4, 17], "i_": [3, 34, 57], "r_1": 3, "r_2": 3, "notic": [3, 4, 5, 17, 26, 34, 35, 38, 46, 51, 52, 54, 57, 58, 64, 66, 71, 72, 74], "arrow": [3, 4, 14, 17, 52, 57, 60, 64, 67], "reader": [3, 11, 24, 29, 31, 42, 57], "between": [3, 4, 10, 11, 13, 14, 17, 24, 25, 26, 27, 29, 33, 34, 38, 39, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 64, 65, 67, 71, 72, 75], "introduc": [3, 5, 8, 10, 11, 13, 14, 17, 24, 25, 28, 30, 31, 34, 35, 37, 38, 43, 44, 46, 51, 52, 55, 57, 58, 59, 60, 62, 66, 67, 71, 72, 75], "straightforwardli": 3, "ari": [3, 17, 34], "simultan": [3, 17, 24, 25, 26, 30, 32, 34, 42, 53, 57, 58], "everi": [3, 9, 11, 12, 13, 14, 17, 28, 29, 34, 40, 51, 52, 54, 55, 57, 58, 64, 71], "argument": [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 40, 42, 43, 45, 51, 52, 54, 55, 58, 59, 60, 62, 64, 66, 72, 75], "invers": [3, 11, 17, 24, 25, 31, 58, 60, 64, 72, 77], "t_1": [3, 26, 31, 34, 35], "ldot": [3, 7, 34], "t_n": [3, 26, 34, 66], "union": [3, 13, 17, 54, 59, 66, 77], "append": [3, 17, 29, 35, 43, 53, 54, 66, 75], "binari": [3, 5, 7, 11, 14, 17, 24, 29, 37, 42, 51, 53, 57, 58, 60, 64, 71], "latter": [3, 11, 17, 28, 34, 35, 42, 51, 54, 55, 57, 58, 64, 66, 67, 75], "condit": [3, 4, 9, 11, 17, 24, 25, 30, 50, 53, 59, 60, 63, 64, 66, 67], "s1": [3, 30, 38, 57], "s2": [3, 30], "divis": [3, 11, 17, 24, 25, 57], "rdiv": [3, 5], "le": [3, 5, 13, 14, 17, 24, 27, 42, 46, 52, 55, 57, 64, 67, 77], "usual": [3, 8, 9, 12, 17, 25, 26, 27, 28, 30, 34, 35, 37, 40, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "leibniz": [3, 5, 7, 11, 13, 17, 24, 25, 27, 35, 40, 57, 58, 67], "unfortun": [3, 5, 17, 42, 46, 57], "intend": [3, 17, 24, 28, 32, 39, 51, 57, 64, 66, 71], "next": [3, 9, 13, 17, 24, 27, 29, 33, 34, 42, 44, 46, 51, 52, 54, 55, 57, 60, 64, 65, 66, 67, 71], "section": [3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 67, 71, 74], "deal": [3, 5, 8, 13, 17, 24, 25, 42, 46, 57, 60, 64, 71, 72], "exact": [3, 12, 14, 17, 24, 25, 35, 40, 43, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71], "goal": [3, 6, 7, 8, 9, 12, 13, 14, 17, 24, 25, 27, 29, 31, 34, 35, 36, 37, 38, 42, 43, 44, 52, 53, 59, 60, 61, 62, 64, 71, 72, 74], "howev": [3, 4, 5, 9, 12, 13, 14, 17, 24, 27, 29, 34, 36, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 72], "verifi": [3, 7, 9, 11, 14, 17, 24, 25, 29, 31, 32, 33, 35, 51, 60, 66], "verif": [3, 24, 25, 32, 66, 67, 77], "consist": [3, 4, 5, 11, 13, 14, 17, 24, 27, 30, 31, 34, 35, 52, 55, 57, 58, 59, 64, 65, 66, 71], "composit": [3, 71], "some": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 71, 72, 73, 75], "obviou": [3, 34, 57, 71], "suppos": [3, 9, 17, 55, 57, 64], "hypothesi": [3, 9, 11, 17, 24, 25, 27, 28, 29, 34, 38, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 75], "h": [3, 4, 6, 9, 11, 12, 13, 14, 17, 24, 27, 34, 40, 44, 46, 51, 54, 55, 57, 58, 62, 64, 66, 67, 72, 75, 77], "These": [3, 11, 13, 14, 17, 24, 25, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 52, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "attribut": [3, 5, 9, 13, 14, 16, 25, 28, 30, 32, 34, 37, 40, 41, 42, 44, 51, 54, 55, 59, 60, 62, 64, 66, 71, 74], "univers": [3, 4, 8, 9, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 44, 46, 51, 54, 57, 59, 62, 66, 67, 71, 77], "add": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 29, 31, 32, 34, 37, 41, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "one_term": [3, 5, 7, 11, 13, 29, 34, 54, 58, 60, 62, 64, 67, 71, 72], "aeq": 3, "\u03b1": [3, 14, 25, 54, 55, 57], "typeabl": 3, "fresh": [3, 14, 17, 24, 25, 31, 34, 53, 57, 58, 64, 66, 67, 71], "intern": [3, 5, 11, 14, 17, 24, 25, 31, 34, 37, 44, 51, 53, 54, 55, 58, 60, 62, 66, 67, 71, 72, 73, 74, 77], "although": [3, 5, 9, 17, 35, 37, 53, 55, 57, 58, 60, 64, 66], "depart": 3, "To": [3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 17, 24, 25, 27, 29, 30, 32, 34, 37, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 74, 75], "eq": [3, 5, 11, 14, 17, 27, 35, 40, 42, 54, 57, 58, 59, 64, 67, 71], "refl_equ": [3, 17, 57], "properti": [3, 4, 6, 9, 11, 12, 13, 17, 24, 25, 26, 27, 30, 31, 32, 34, 38, 39, 42, 45, 46, 57, 58, 67, 72, 77], "deriv": [3, 5, 9, 13, 17, 24, 25, 26, 30, 34, 38, 40, 54, 64, 66, 73], "autorewrit": [3, 17, 24, 60], "abl": [3, 8, 11, 13, 14, 17, 24, 25, 34, 42, 44, 46, 51, 53, 55, 57, 58, 59, 61, 62, 67], "defined": 3, "interact": [3, 6, 10, 13, 17, 24, 25, 32, 33, 37, 38, 40, 42, 43, 52, 59, 65, 66, 67, 71, 75, 76, 77], "denot": [3, 4, 11, 17, 24, 26, 28, 29, 30, 34, 35, 39, 40, 42, 43, 52, 54, 57, 58, 67, 71], "small": [3, 5, 8, 11, 14, 17, 25, 26, 33, 34, 39, 42, 44, 52, 53, 57, 64], "theori": [3, 4, 5, 11, 17, 24, 25, 26, 27, 28, 29, 39, 42, 46, 51, 53, 57, 58, 60, 62, 67, 71, 77], "homogen": [3, 17], "export": [3, 5, 8, 9, 11, 13, 17, 24, 29, 35, 38, 51, 52, 54, 55, 59, 60, 71], "relation_definit": [3, 13, 17, 42, 59], "eq_set": 3, "axiom": [3, 6, 7, 9, 10, 11, 12, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74], "eq_set_refl": 3, "eq_set_sym": 3, "eq_set_tran": 3, "empty_neutr": 3, "union_compat": 3, "eq_set_rel": 3, "eq_set_rel_rel": 3, "eq_set_rel_reflex": 3, "eq_set_rel_symmetr": 3, "eq_set_rel_transit": 3, "union_mor": 3, "x0": [3, 13, 17, 37, 43, 44, 54, 66, 71], "y0": [3, 13, 43], "No": [3, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 30, 34, 35, 36, 40, 42, 44, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74], "qed": [3, 5, 6, 8, 9, 12, 13, 14, 17, 24, 29, 32, 34, 36, 38, 40, 42, 51, 52, 54, 57, 58, 59, 60, 62, 64, 66, 67, 72], "reduc": [3, 7, 8, 10, 11, 12, 13, 17, 24, 26, 31, 32, 34, 36, 37, 40, 41, 44, 51, 53, 57, 58, 59, 60, 64, 66, 67, 71], "burden": [3, 63], "maxim": [3, 13, 17, 25, 41, 51, 57, 71, 77], "insert": [3, 4, 9, 12, 13, 17, 24, 25, 29, 41, 46, 52, 53, 55, 57, 66, 71, 75], "write": [3, 4, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 39, 43, 51, 53, 54, 55, 57, 58, 59, 63, 66, 67, 71, 73, 75], "proce": [3, 11, 13, 52, 57, 71], "simpl": [3, 4, 10, 11, 17, 24, 25, 29, 37, 41, 42, 43, 46, 52, 53, 54, 57, 58, 59, 60, 62, 67, 72], "step": [3, 5, 7, 11, 13, 17, 24, 25, 26, 29, 41, 51, 52, 53, 54, 58, 60, 64, 65, 67], "applic": [3, 5, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 35, 36, 37, 41, 46, 52, 55, 57, 59, 60, 64, 66, 67, 71, 72, 77], "establish": [3, 17, 57], "intro": [3, 5, 11, 12, 13, 17, 24, 25, 34, 42, 43, 44, 52, 54, 55, 60, 62, 64, 66, 67, 71, 72], "manag": [3, 13, 17, 24, 25, 32, 38, 51, 53, 57, 59, 60, 62, 73], "hypothes": [3, 5, 9, 13, 17, 24, 25, 28, 32, 34, 51, 57, 60, 62, 64, 67, 71], "One": [3, 8, 9, 13, 14, 17, 25, 31, 32, 34, 37, 38, 39, 44, 51, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "cmd": [3, 17, 38, 51, 52, 54], "exist": [3, 4, 5, 9, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74], "outsid": [3, 5, 9, 11, 12, 13, 14, 17, 28, 29, 35, 38, 40, 41, 42, 43, 53, 54, 59, 60, 66, 71], "suffix": [3, 17, 35, 51, 52, 53, 54, 57, 59, 71, 75], "_morphism": 3, "modifi": [3, 4, 8, 11, 13, 14, 17, 24, 25, 29, 36, 38, 41, 51, 52, 54, 55, 57, 58, 64, 66, 67, 71], "themselv": [3, 13, 14, 17, 26, 35, 37, 39, 41, 42, 53, 57, 59, 64, 71], "exploit": [3, 17, 24, 57, 67], "monotoni": 3, "hand": [3, 10, 12, 13, 17, 25, 27, 29, 33, 35, 52, 53, 54, 55, 57, 58, 64, 67, 71, 72], "partial": [3, 13, 17, 24, 34, 35, 37, 44, 51, 53, 54, 57, 59, 62, 66, 71, 72], "domain": [3, 5, 11, 14, 17, 24, 25, 26, 34, 42, 61, 64, 71], "compris": [3, 24], "eqo": 3, "smallest": [3, 5, 27, 34, 67], "nonzero": [3, 11, 37, 54], "eq0": 3, "open": [3, 5, 6, 11, 13, 17, 25, 27, 35, 36, 38, 50, 52, 54, 55, 57, 59, 60, 64, 66], "addit": [3, 4, 5, 8, 9, 13, 17, 24, 25, 27, 29, 31, 34, 35, 39, 51, 52, 53, 54, 55, 58, 59, 62, 64, 65, 66, 67, 71, 72, 73], "up": [3, 8, 13, 17, 24, 25, 26, 31, 34, 35, 38, 42, 43, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 75], "longer": [3, 9, 17, 24, 31, 34, 38, 44, 52, 53, 58, 66, 67, 71], "posit": [3, 4, 5, 7, 9, 10, 11, 14, 17, 24, 25, 30, 36, 37, 39, 41, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "z": [3, 5, 7, 11, 13, 14, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 44, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "lt": [3, 9, 13, 17, 27, 42, 71, 72], "increas": [3, 5, 8, 17, 24, 53, 57, 62], "decreas": [3, 7, 9, 17, 30, 34, 55, 59, 72], "dualli": [3, 44, 57], "hold": [3, 4, 17, 30, 34, 35, 40, 42, 55, 58, 75], "On": [3, 10, 12, 17, 24, 27, 30, 32, 37, 40, 44, 46, 51, 52, 53, 54, 57, 58, 64, 71], "contrari": [3, 4, 9, 13, 17, 30, 40, 44, 57, 67], "messag": [3, 4, 8, 11, 12, 13, 14, 16, 17, 24, 26, 28, 29, 30, 34, 35, 37, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "rewritten": [3, 9, 11, 24, 30, 46, 57, 58, 64], "compos": [3, 4, 34, 44, 57, 67, 71], "propag": [3, 11, 17, 41], "varianc": [3, 17], "annot": [3, 9, 14, 17, 24, 25, 27, 34, 41, 42, 45, 51, 53, 55, 57, 66], "switch": [3, 8, 13, 14, 17, 24, 25, 51, 53, 66], "travers": [3, 17, 57, 58, 67], "detail": [3, 5, 7, 14, 25, 31, 36, 37, 41, 42, 51, 52, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "contravariantli": 3, "differ": [3, 4, 9, 11, 13, 14, 15, 17, 24, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 72, 73, 75, 77], "duplic": [3, 11, 17, 43, 57, 67, 71], "multiset_eq": 3, "repeat": [3, 17, 25, 43, 44, 52, 55, 57, 58, 59, 66, 67], "request": [3, 14, 17, 25, 43, 51, 64], "unclear": [3, 10, 54], "analog": [3, 17, 34, 54, 57, 58, 66], "crelat": 3, "cmorphism": [3, 17], "cequival": 3, "rewriterel": [3, 17, 57], "index": [3, 13, 17, 24, 25, 26, 27, 29, 39, 40, 44, 52, 58, 60, 64, 66, 67, 73, 75], "iff": [3, 17, 26, 27, 31, 57, 59, 71], "impl": [3, 5, 59], "flip": [3, 17], "pointwis": 3, "simpli": [3, 4, 11, 13, 14, 17, 24, 31, 39, 54, 55, 57, 59, 62, 67, 71, 75], "machineri": [3, 17, 57], "infer": [3, 4, 9, 10, 13, 14, 24, 25, 26, 34, 37, 40, 41, 42, 45, 46, 51, 57, 58, 60, 62, 67, 71], "face": [3, 17, 75], "situat": [3, 4, 11, 17, 46, 54, 57, 71], "instanti": [3, 10, 13, 14, 17, 24, 34, 35, 43, 44, 54, 55, 57, 58, 60, 62, 67, 71], "discharg": [3, 14, 17, 24, 25, 28, 38, 72], "That": [3, 27, 29, 30, 34, 36, 52, 54, 55, 58, 64, 66], "variou": [3, 16, 17, 24, 25, 28, 29, 34, 44, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 71], "hint": [3, 13, 14, 17, 24, 25, 27, 35, 38, 54, 62, 64, 75], "databas": [3, 13, 17, 25, 54, 57, 62, 64], "refl": [3, 17], "sym": [3, 17, 44], "tran": [3, 17], "id": [3, 4, 9, 10, 14, 17, 24, 26, 34, 35, 42, 44, 51, 52, 53, 54, 55, 57, 58, 64, 66, 71, 75], "equivalence_reflex": [3, 59], "equivalence_symmetr": [3, 59], "equivalence_transit": 3, "amount": [3, 5, 8, 14, 17, 51, 54, 58], "relationclass": [3, 17, 64], "further": [3, 17, 30, 35, 41, 51, 52, 54, 55, 57, 64, 66, 67, 71], "explan": [3, 13, 37, 45, 51, 58, 59, 67], "encod": [3, 13, 17, 24, 25, 27, 34, 53, 71, 75], "car": 3, "eq_rel": 3, "eq_rel_rel": 3, "eq_rel_reflex": 3, "eq_rel_symmetr": 3, "eq_rel_transit": 3, "x2": [3, 27, 42, 59, 60, 72], "apply_mor": 3, "setoid_": [3, 17], "moreov": [3, 5, 17, 28, 44, 46, 51, 52, 57, 62, 71], "unprefix": 3, "fall": [3, 9, 10, 13, 24, 53], "back": [3, 9, 14, 17, 24, 51, 52, 54, 57, 59, 66, 67], "involv": [3, 4, 9, 12, 17, 24, 25, 26, 34, 41, 42, 51, 52, 53, 54, 57, 59, 60, 62, 64, 67], "pass": [3, 5, 8, 10, 12, 17, 24, 37, 38, 42, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 75], "etransit": [3, 17, 43, 64], "one_term_with_bind": [3, 58, 64, 67, 72], "rewrite_occ": [3, 64], "int_or_var": [3, 54, 66, 71], "ltac_expr3": [3, 29, 54, 58, 64, 66], "defaultrel": 3, "By": [3, 4, 5, 11, 12, 13, 14, 17, 29, 37, 44, 46, 51, 53, 54, 55, 57, 60, 64, 66, 67, 71], "recent": [3, 24, 25, 53, 71], "environ": [3, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 28, 30, 31, 32, 34, 35, 38, 42, 43, 52, 53, 55, 57, 60, 62, 64, 66, 67, 71, 72, 75], "simul": [3, 17, 24, 57, 66], "understand": [3, 5, 10, 12, 15, 17, 24, 25, 29, 33, 51, 53, 54, 55, 59, 60], "congruenc": [3, 12, 17, 24, 25, 34, 54, 62, 64, 67], "pack": [3, 42, 53], "slightli": [3, 17, 24, 35, 51, 52, 54, 55, 57, 58, 67], "permut": [3, 17, 25, 55, 57], "bi": 3, "implic": [3, 17, 26, 27, 28, 42, 54, 57, 60, 66, 67, 71], "port": [3, 17, 24, 55, 72], "semant": [3, 11, 13, 14, 17, 24, 25, 26, 29, 35, 36, 39, 41, 44, 53, 54, 57, 58, 71, 77], "limit": [3, 5, 9, 10, 13, 14, 17, 24, 25, 29, 35, 41, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 71, 72], "lift": [3, 12, 14, 17], "were": [3, 11, 13, 17, 24, 34, 35, 36, 38, 42, 44, 51, 53, 54, 55, 59, 60, 66, 71, 72, 75], "discuss": [3, 17, 24, 25, 54], "setoid_rewrit": [3, 17, 24, 60, 64], "head": [3, 10, 13, 14, 17, 24, 26, 30, 35, 41, 42, 44, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71], "constr": [3, 5, 14, 17, 24, 34, 42, 54, 55, 57, 71], "bind": [3, 9, 10, 14, 17, 24, 25, 28, 32, 34, 35, 37, 40, 43, 44, 46, 51, 54, 57, 64, 66, 67, 72], "construct": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 27, 28, 29, 30, 31, 33, 35, 41, 42, 43, 46, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 71, 77], "ex": [3, 17, 24, 27, 44, 58, 67, 71], "existenti": [3, 6, 9, 10, 13, 17, 24, 25, 26, 34, 41, 45, 54, 58, 59, 60, 64, 66, 67], "morphisms_prop": [3, 17], "all_iff_morph": 3, "pointwise_rel": 3, "simpl_rel": [3, 17], "predic": [3, 9, 17, 24, 25, 26, 27, 30, 34, 40, 42, 54, 60, 64, 77], "onc": [3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 32, 34, 41, 42, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72], "implicitli": [3, 13, 14, 17, 24, 34, 51, 55, 59, 60, 64], "inde": [3, 4, 11, 12, 13, 14, 17, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "surround": [3, 17, 44, 57, 59, 71], "whatev": [3, 44, 64, 75], "map_morph": 3, "eqa": [3, 13], "eqb": [3, 5, 13, 17, 36, 59], "list_equiv": 3, "parameter": [3, 5, 11, 14, 17, 24, 25, 28, 37, 40, 54], "captur": [3, 17, 34, 44, 57, 64, 71], "bound": [3, 5, 6, 7, 10, 14, 17, 24, 25, 26, 28, 31, 32, 34, 39, 41, 42, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 72], "With": [3, 4, 13, 14, 17, 46, 53, 57, 58, 67, 71], "subterm": [3, 9, 10, 11, 17, 24, 25, 31, 34, 41, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72], "almost": [3, 17, 57, 67, 75], "recov": [3, 8, 14, 17, 30, 46, 51, 54, 67], "smaller": [3, 11, 14, 17, 32, 33, 34, 53, 58, 62, 67, 72], "dual": [3, 9, 24, 55], "why": [3, 11, 17, 34, 37, 43, 55], "conjunct": [3, 5, 11, 17, 24, 34, 57, 59, 60, 67, 71], "suffici": [3, 5, 11, 13, 53], "aris": [3, 9, 13, 17, 30, 67, 71], "through": [3, 4, 12, 17, 24, 28, 29, 30, 32, 34, 35, 36, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72, 73, 74], "prime": [3, 17, 29, 34, 57], "space": [3, 17, 29, 52, 53, 57, 59, 66, 71, 74, 75], "rewrite_strat": [3, 17], "rule": [3, 4, 5, 11, 12, 13, 14, 17, 24, 25, 29, 32, 33, 35, 36, 37, 39, 41, 42, 44, 46, 51, 53, 54, 55, 58, 59, 60, 62, 66, 67, 77], "slow": [3, 11, 17, 53, 54, 55], "down": [3, 14, 24, 25, 45, 51, 52, 54, 55, 57, 59], "wherea": [3, 17, 29, 54, 55, 57, 58, 62, 74], "opaqu": [3, 6, 8, 9, 14, 17, 24, 25, 31, 32, 35, 38, 51, 57, 59, 60, 64, 66, 67, 71, 75], "caus": [3, 8, 12, 14, 17, 32, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 71, 75], "miss": [3, 5, 10, 13, 17, 24, 35, 43, 51, 52, 55, 57, 58, 62, 64, 71, 75], "configur": [3, 8, 17, 24, 25, 29, 40, 51, 52, 59, 64, 66, 73], "transpar": [3, 4, 6, 9, 14, 17, 24, 25, 31, 32, 35, 37, 41, 51, 54, 55, 57, 59, 60, 64, 66, 67, 75], "unif": [3, 10, 13, 17, 24, 25, 37, 40, 42, 43, 54, 60, 64, 71], "eauto": [3, 17, 25, 43, 54, 57, 60], "individu": [3, 17, 53, 55, 64, 67, 71], "double_f": 3, "unifi": [3, 12, 13, 14, 17, 34, 41, 42, 43, 54, 57, 58, 64, 66], "assert_succe": [3, 17, 25], "bottomup": 3, "hide": [3, 17, 25, 34, 41, 44, 57, 58, 66, 71], "side": [3, 10, 13, 14, 17, 24, 25, 27, 32, 34, 35, 38, 43, 52, 54, 55, 57, 58, 60, 62, 64, 67, 71], "behind": [3, 4, 17, 28, 34, 57], "assert_fail": [3, 17, 25], "disallow": [3, 12, 14, 17, 37, 51], "substitut": [3, 10, 11, 17, 24, 25, 26, 34, 38, 46, 51, 55, 57, 58, 64, 67, 71], "distinct": [3, 9, 13, 17, 26, 34, 42, 44, 46, 53, 54, 55, 57, 60, 64, 67, 71], "eq_refl": [3, 5, 9, 11, 12, 13, 14, 17, 27, 40, 64, 66, 67, 71], "resolv": [3, 9, 13, 14, 17, 35, 43, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71], "treat": [3, 9, 12, 13, 17, 29, 46, 53, 54, 57, 59, 60, 62, 64, 67, 71, 72], "lot": [3, 11, 17, 24, 52, 55], "tri": [3, 4, 5, 9, 13, 14, 17, 34, 35, 41, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 66, 67], "speed": [3, 13, 17, 24, 34, 64], "abbrevi": [3, 4, 5, 13, 14, 17, 24, 25, 27, 32, 35, 38, 59, 74], "typeclass_inst": [3, 13, 17, 60], "strat": 3, "rewstrategi": [3, 17], "conclus": [3, 11, 13, 17, 24, 28, 34, 54, 55, 57, 58, 60, 64, 66, 67, 71], "noth": [3, 17, 38, 41, 51, 54, 55, 57, 58, 60, 62, 64, 66, 67], "didn": [3, 17, 51, 53], "progress": [3, 17, 24, 25, 51, 52, 55, 60, 66, 77], "succeed": [3, 17, 54, 59, 72], "unabl": [3, 14, 34, 43, 46, 53, 57, 58, 59, 66, 67], "basic": [3, 9, 11, 17, 24, 25, 32, 33, 34, 35, 37, 40, 42, 44, 46, 51, 58, 59, 60, 63, 66, 67, 73], "db": [3, 17], "topdown": 3, "creat": [3, 8, 9, 13, 17, 24, 25, 29, 34, 38, 40, 42, 51, 52, 53, 54, 57, 58, 59, 64, 66, 67, 72, 75], "procedur": [3, 4, 11, 17, 24, 25, 54, 57, 60, 62, 64, 77], "programm": [3, 24, 25, 65], "visser": [3, 77], "et": [3, 24, 77], "al": [3, 57], "lv97": [3, 77], "vbt98": [3, 77], "core": [3, 13, 17, 24, 25, 27, 29, 41, 45, 51, 57, 59, 60, 62, 65, 71], "stratego": [3, 77], "transform": [3, 4, 11, 17, 29, 57, 58, 66, 67, 77], "languag": [3, 9, 11, 14, 26, 29, 36, 37, 39, 40, 41, 46, 53, 54, 63, 64, 65, 66, 74, 75, 77], "vis01": [3, 77], "rewstrategy1": [3, 17], "choic": [3, 17, 27, 34, 51, 52, 55, 62, 71, 75], "rewstrategy0": 3, "eval": [3, 5, 12, 14, 17, 24, 25, 29, 30, 31, 32, 35, 37, 42, 51, 52, 53, 55, 59], "red_expr": [3, 17, 32, 54, 64], "fold": [3, 17, 37, 57], "failur": [3, 8, 13, 14, 17, 24, 25, 46, 53, 55, 57, 59, 60, 62, 64, 71, 77], "catch": [3, 17, 25, 42, 46, 57], "zero": [3, 7, 11, 17, 26, 27, 37, 42, 46, 53, 54, 55, 58, 59, 60, 64], "nest": [3, 9, 17, 24, 25, 29, 32, 35, 38, 40, 54, 57, 58, 59, 64, 66, 71, 75], "andbc": [3, 57], "bottom": [3, 17, 37, 46, 52, 54, 55, 58, 64, 71], "top": [3, 8, 10, 12, 13, 14, 17, 24, 25, 29, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71, 73, 75], "oper": [3, 5, 9, 10, 11, 14, 17, 24, 25, 27, 32, 34, 36, 51, 52, 54, 55, 57, 60, 64, 66, 67, 71], "texttt": 3, "conceptu": [3, 34], "straightforward": [3, 55], "root": [3, 17, 25, 27, 46, 51], "iter": [3, 5, 13, 17, 25, 26, 28, 30, 71], "consider": [3, 9, 17, 37, 39, 46, 64, 67, 71], "stop": [3, 5, 12, 17, 24, 32, 38, 52, 54, 57, 71], "Their": [3, 17, 32, 34, 39, 55, 57, 59, 71], "mani": [3, 8, 11, 13, 14, 17, 24, 25, 27, 29, 33, 34, 35, 39, 42, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 73], "stronger": [3, 12, 17, 34], "interpret": [3, 5, 9, 11, 13, 17, 24, 25, 27, 29, 32, 34, 35, 41, 44, 51, 52, 53, 54, 55, 59, 75], "ssrbool": [3, 17, 57], "ssrmatch": [3, 17, 57], "scope": [3, 5, 11, 17, 24, 25, 27, 29, 32, 36, 38, 43, 45, 52, 54, 55, 57, 59, 60, 64, 66], "bool_scop": [3, 17, 41, 71], "abort": [3, 11, 17, 34, 42, 44, 54, 55, 57, 64, 66, 67], "amokran": [4, 24], "sa\u00efbi": [4, 24], "prover": [4, 5, 15, 17, 24, 26, 29, 31, 33, 52, 55, 59, 65, 73, 75, 76], "power": [4, 5, 11, 17, 24, 54, 57, 67, 71, 72], "our": [4, 5, 7, 11, 17, 24, 34, 35, 54], "determin": [4, 13, 17, 31, 34, 36, 40, 41, 43, 53, 54, 57, 58, 64, 66, 67, 71, 72, 75], "appropri": [4, 13, 14, 17, 29, 53, 55, 57, 59, 62, 64, 66, 67, 75], "sens": [4, 24, 26, 30, 54, 55, 57, 71], "subtyp": [4, 9, 14, 17, 25, 31, 35, 39, 77], "certain": [4, 11, 17, 24, 29, 44, 46, 51, 54, 57, 58, 59, 64, 67, 71], "categori": [4, 8, 13, 17, 35, 51, 59, 61, 74, 75], "biject": [4, 17], "morphism": [4, 11, 17, 25, 59, 71], "famili": [4, 14, 17, 24, 25, 34, 40, 54, 55, 63, 67, 71], "coercion_class": [4, 71], "user": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 25, 29, 32, 33, 34, 35, 36, 37, 39, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77], "sortclass": [4, 17, 57, 71], "funclass": [4, 17, 41, 71], "formal": [4, 6, 10, 17, 24, 25, 26, 29, 31, 32, 34, 37, 39, 41, 51, 55, 57, 67, 77], "don": [4, 10, 13, 14, 17, 28, 34, 35, 37, 46, 52, 53, 54, 57, 58, 60, 62, 64, 66], "confus": [4, 10, 13, 17, 24, 26, 29, 34, 44, 46, 52, 55, 57, 71], "target": [4, 11, 17, 25, 51, 58, 71], "x\u2081": 4, "a\u2081": 4, "x\u2096": 4, "a\u2096": 4, "v\u2081": 4, "v\u2099": [4, 55], "u\u2081": 4, "u\u2098": 4, "new": [4, 5, 6, 8, 10, 13, 14, 15, 25, 27, 29, 31, 32, 34, 36, 37, 39, 42, 43, 46, 51, 52, 54, 55, 58, 59, 60, 61, 64, 66, 67, 71, 72, 73, 75, 77], "ignor": [4, 13, 14, 17, 24, 29, 31, 34, 35, 44, 51, 52, 53, 54, 57, 58, 60, 64, 66, 71], "exactli": [4, 10, 11, 13, 17, 26, 27, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 66, 67, 71], "uniform": [4, 17, 24, 34, 40, 44, 54, 55], "recommend": [4, 8, 13, 14, 15, 17, 32, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 72, 74, 75], "guarante": [4, 14, 17, 51, 52, 53, 55], "spuriou": [4, 17, 57, 71], "coerc": [4, 41, 57, 60, 64], "t\u2081": 4, "t\u2099": 4, "toward": [4, 17, 53], "intuit": [4, 11, 17, 24, 29, 55, 58, 62], "synthes": [4, 17, 24, 27, 28, 42, 46, 77], "precis": [4, 8, 13, 17, 24, 26, 29, 31, 33, 34, 35, 37, 39, 46, 51, 57, 64, 71], "doesn": [4, 14, 17, 29, 31, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 66, 67, 71, 73], "look": [4, 8, 9, 11, 13, 14, 16, 17, 25, 51, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72, 75], "incom": [4, 17], "necessarili": [4, 46, 67, 72], "semi": [4, 11, 17], "lattic": 4, "forget": [4, 11, 37, 55, 59, 60, 67], "harder": [4, 17, 58], "There": [4, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 34, 37, 38, 39, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 75], "subclass": [4, 10, 13, 27, 39, 42, 59], "oldest": [4, 17], "notat": [4, 5, 9, 10, 11, 14, 24, 25, 26, 28, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 45, 46, 51, 52, 53, 57, 58, 60, 64, 67, 73, 74, 75, 77], "f\u2081": 4, "f\u2096": 4, "ident_decl": [4, 9, 13, 28, 30, 32, 34, 37, 38, 40, 42, 59], "def_bodi": [4, 32, 38, 42], "unspecifi": [4, 14, 17, 43, 55, 62, 67], "ye": [4, 9, 11, 14, 17, 29, 34, 37, 42, 51, 53, 59, 67], "field": [4, 5, 7, 12, 13, 14, 17, 24, 25, 42, 51, 53, 55, 59, 61, 74], "nonuniform": [4, 17], "silenc": [4, 17, 24, 41, 46, 57, 62, 74], "18": [4, 13, 25, 57, 58, 59, 60, 64], "futur": [4, 9, 10, 13, 14, 17, 32, 41, 51, 52, 53, 57, 62, 66, 71, 77], "ambigu": [4, 17, 25, 46, 53, 57, 59, 60, 66, 71], "yield": [4, 11, 17, 24, 31, 46, 54, 55, 58, 67, 71], "f\u2099": 4, "report": [4, 8, 12, 17, 24, 29, 52, 54, 55, 59, 64, 72, 77], "definition": [4, 12, 17, 31, 32, 35, 37, 64], "circular": [4, 17, 57], "assumpt": [4, 10, 17, 24, 25, 26, 32, 33, 34, 35, 36, 44, 51, 52, 53, 54, 58, 59, 60, 66, 67, 77], "induct": [4, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 29, 30, 31, 32, 33, 35, 37, 41, 42, 44, 52, 54, 55, 57, 58, 59, 60, 62, 64, 65, 66, 73, 75, 77], "of_typ": [4, 17, 28], "src": [4, 53], "dest": [4, 17], "x\u2099": [4, 55], "t\u2098": 4, "word": [4, 14, 17, 30, 42, 51, 52, 53, 55, 58, 66], "context": [4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 29, 30, 31, 32, 34, 35, 38, 41, 43, 44, 51, 52, 59, 60, 62, 64, 66, 67, 71], "forc": [4, 8, 11, 17, 24, 34, 42, 44, 52, 53, 54, 57, 60, 64, 66, 67, 71], "updat": [4, 8, 15, 17, 24, 36, 37, 46, 52, 53, 58, 59, 67, 71], "last": [4, 5, 9, 17, 24, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72], "record_definit": [4, 13, 30, 34, 37], "redefin": [4, 17, 54, 55, 57, 66, 71, 75], "forgotten": [4, 54], "atom": [4, 5, 8, 14, 17, 26, 60, 62, 67, 71], "bool_in_nat": 4, "unset": [4, 5, 12, 14, 17, 24, 25, 34, 35, 37, 38, 42, 44, 46, 51, 54, 55, 57, 59, 66, 67, 71], "none": [4, 5, 13, 17, 24, 27, 34, 40, 42, 46, 51, 54, 55, 57, 66, 71], "remark": [4, 17, 24, 25, 32, 34], "co": [4, 10, 11, 17, 24, 25, 42, 44, 54, 57, 59, 64, 67, 71, 77], "fg": 4, "bij": 4, "ap": [4, 11], "ssort": 4, "sstuff": 4, "s_nat": 4, "compar": [4, 5, 11, 14, 17, 24, 25, 37, 42, 53, 54, 55, 57, 58, 64, 66, 67, 73], "fct": 4, "incr_fct": 4, "fct_of_incr_fct": 4, "illeg": 4, "id_fct_funclass": 4, "reverse_coercion": [4, 17], "reversecoercionsourc": 4, "reversecoerciontarget": 4, "fr\u00e9d\u00e9ric": [5, 17, 57], "besson": [5, 17], "evgeni": [5, 17], "makarov": [5, 17], "mathbb": [5, 7, 17], "lqa": 5, "incomplet": [5, 8, 10, 17, 24, 46, 58, 66, 67, 71], "option": [5, 8, 9, 10, 11, 13, 14, 16, 24, 25, 26, 27, 34, 35, 38, 40, 42, 44, 46, 50, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 74], "john": [5, 77], "harrison": 5, "hol": 5, "light": [5, 17, 24, 52, 66, 75], "driver": 5, "csdp": 5, "gener": [5, 7, 8, 9, 12, 13, 17, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 43, 46, 51, 52, 53, 58, 59, 60, 61, 62, 64, 66, 75, 77], "cach": [5, 12, 17], "rerun": 5, "script": [5, 8, 17, 24, 25, 35, 42, 43, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 73], "info": [5, 17, 54, 60], "dump": [5, 17, 24, 51, 75], "arith": [5, 11, 17, 24, 53, 59, 60, 72], "profil": [5, 17, 25, 53, 59, 64], "statist": [5, 17, 66], "pivot": 5, "detect": [5, 8, 17, 25, 41, 44, 52, 53, 57, 66], "ineffici": [5, 17, 24, 57], "formula": [5, 7, 26, 57, 58, 62, 77], "numer": [5, 11, 17, 24, 27, 29, 59, 71], "subtract": [5, 57], "exponenti": [5, 17, 29], "implb": [5, 17, 27], "negb": [5, 13, 27, 62, 71], "comparison": [5, 14, 17, 24, 42], "gtb": 5, "ltb": [5, 17, 59], "geb": 5, "leb": [5, 9, 17, 57, 59], "rather": [5, 11, 13, 17, 24, 29, 30, 34, 35, 53, 54, 55, 57, 58, 59, 64, 67, 71], "resp": [5, 17, 34, 36, 46, 57], "rang": [5, 17, 26, 29, 52, 55, 58, 71], "r0": [5, 17], "rmult": [5, 11], "rplu": 5, "rminu": 5, "izr": [5, 17, 71], "q2r": [5, 57], "rinv": 5, "decim": [5, 17, 27, 29, 59, 71], "hilbert": [5, 7, 17], "nullstellensatz": [5, 7, 17], "reli": [5, 17, 24, 30, 32, 33, 34, 38, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71], "notion": [5, 11, 17, 24, 25, 26, 27, 33, 34, 46, 51, 54, 55, 58, 64, 71, 77], "cone": [5, 17], "polynomi": [5, 7, 17, 24, 25, 61], "mathit": [5, 26, 34], "under": [5, 9, 11, 17, 25, 32, 40, 44, 46, 52, 53, 54, 55, 59, 64, 66, 67], "dfrac": 5, "quad": 5, "p_1": [5, 7, 34, 35], "p_2": [5, 35], "join": [5, 17, 24], "inequ": [5, 17, 24, 60], "belong": [5, 8, 11, 26, 29, 34, 37, 39, 53, 54, 57, 59, 60, 63, 67, 71, 75], "bigwedge_": 5, "ge": [5, 17, 27], "unsatisfi": [5, 60], "neg": [5, 17, 29, 30, 37, 64, 66, 71], "absurd": [5, 27, 34, 51, 58], "squar": [5, 17, 24, 44, 54, 59, 71, 75], "bigwedge_i": 5, "c_i": [5, 34, 35], "j": [5, 6, 8, 14, 17, 24, 25, 26, 34, 36, 39, 43, 51, 54, 57, 64, 72, 77], "s_i": [5, 7, 34], "p_j": [5, 34], "oracl": 5, "within": [5, 17, 24, 28, 29, 31, 33, 35, 37, 38, 41, 42, 44, 51, 52, 54, 55, 58, 59, 60, 64, 66, 71], "upon": [5, 11, 36, 43, 51], "equat": [5, 6, 14, 17, 24, 25, 27, 34, 40, 42, 46, 53, 55, 58, 60, 61, 64, 67, 72], "explor": [5, 17, 59], "subset": [5, 9, 17, 24, 25, 34, 39, 44, 55, 57, 58, 66, 71, 77], "lincon": 5, "sum_": [5, 7, 57], "alpha_p": 5, "deduct": [5, 24, 57], "overlap": [5, 17, 42, 46, 53, 57, 59, 66], "xlra": 5, "ltac_expr": [5, 9, 11, 29, 54, 55, 60, 62, 64, 66, 71], "wlra": 5, "advanc": [5, 17, 25, 33, 34, 42, 53, 54, 58, 64, 71, 74], "coq_micromega": 5, "mli": [5, 17, 53], "decid": [5, 8, 11, 17, 24, 25, 29, 34, 51, 53, 55, 57, 60, 71], "mathtt": 5, "remedi": [5, 17], "weak": [5, 17, 25, 27, 35, 55, 64, 67, 71], "account": [5, 9, 13, 14, 17, 24, 26, 34, 37, 41, 44, 54, 57, 60, 67, 71], "discret": 5, "round": [5, 17, 53], "ceil": 5, "rightarrow": [5, 7, 26, 75], "lceil": 5, "rceil": 5, "deduc": [5, 17, 44, 51, 57, 58, 67], "lfloor": 5, "rfloor": 5, "conclud": [5, 13, 17, 34, 54, 57, 64, 67], "exhibit": 5, "equiv": [5, 34, 39], "enumer": [5, 17, 34, 40], "c_1": [5, 26, 34, 35], "c_2": 5, "bigvee_": 5, "subgoal": [5, 11, 13, 17, 24, 25, 54, 57, 58, 60, 62, 64, 67], "enrich": [5, 17, 24, 26, 27, 67], "xlia": 5, "wlia": 5, "experiment": [5, 10, 12, 14, 17, 24, 51, 53, 54, 62, 66, 67, 71, 72], "monomi": [5, 11], "e_1": [5, 35], "e_2": [5, 35], "xnra": 5, "wnra": 5, "xnia": 5, "wnia": 5, "nat_or_var": [5, 13, 17, 54, 58, 60, 67], "degre": [5, 73], "provabl": [5, 11, 17, 34, 39, 57, 58, 66], "eventu": [5, 17, 34, 42, 43, 52, 54, 55, 57, 58, 60, 66], "approxim": [5, 12, 14, 17, 60], "optim": [5, 9, 17, 24, 25, 36, 58, 64, 66, 77], "techniqu": [5, 9, 30, 42, 57, 59, 62, 67], "illustr": [5, 17, 34, 46, 57, 60, 64], "zarith": [5, 11, 17, 24, 29, 53, 60], "z_scope": [5, 11, 17, 71], "shown": [5, 9, 13, 14, 17, 27, 29, 31, 34, 37, 38, 42, 43, 51, 52, 53, 54, 57, 58, 59, 60, 66, 71, 75], "xso": 5, "xpsatz": 5, "wso": 5, "wpsatz": 5, "zifybool": [5, 17], "zifycomparison": 5, "unsign": [5, 17, 36], "63": [5, 17, 29, 36, 71], "zifyuint63": 5, "sign": [5, 8, 11, 17, 29, 36, 46, 52, 53, 60], "zifysint63": 5, "pow": [5, 17, 59], "zifynat": [5, 17], "zifyn": [5, 17], "rebind": [5, 17, 52], "zify_pre_hook": [5, 17], "zify_post_hook": [5, 17], "divid": [5, 15, 17, 24, 58], "ltac": [5, 13, 24, 25, 35, 38, 43, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 77], "divide_to_equ": 5, "div_mod_to_equ": [5, 17], "rem": [5, 17], "quot_rem_to_equ": [5, 17], "to_euclidean_division_equ": [5, 17], "zify_convert_to_euclidean_division_equations_flag": 5, "pose": [5, 17, 24, 34, 54, 55, 57, 58, 67], "characterist": 5, "euclidean_division_equations_cleanup": [5, 17], "imposs": [5, 17, 34, 46, 53, 58, 67], "presuppos": [5, 75], "euclidean_division_equations_find_duplicate_quoti": 5, "q1": [5, 10, 13, 46, 57], "q2": [5, 10, 57], "relat": [5, 6, 7, 9, 10, 11, 13, 14, 17, 24, 25, 26, 27, 31, 34, 35, 40, 41, 42, 44, 51, 52, 53, 57, 58, 59, 60, 64, 67, 71, 72, 75], "zifyclass": [5, 17, 57], "zifyinst": 5, "add_zifi": 5, "injtyp": [5, 17], "binop": 5, "unop": 5, "cstop": 5, "binrel": 5, "unopspec": [5, 17], "binopspec": [5, 17], "propop": 5, "propbinop": 5, "propuop": 5, "satur": [5, 17], "show_zifi": 5, "spec": [5, 17], "elim": [5, 17, 24, 25, 54, 58, 67], "op": [5, 42, 44, 53, 57, 66, 71], "qarith": [5, 17], "q_scope": [5, 71], "micromega_cor": [5, 11, 29, 54, 55, 57, 60], "example_lra": 5, "hood": [5, 17], "curiou": 5, "own": [5, 10, 17, 24, 25, 35, 42, 44, 54, 57, 59, 60, 62, 66, 67, 75], "mathemat": [5, 17, 24, 25, 29, 34, 37, 51, 52, 57, 64, 66, 75, 77], "speak": [5, 11], "land": [5, 17, 59, 71], "p_0": 5, "2y": 5, "2x": [5, 11], "ringmicromega": 5, "qmicromega": 5, "envr": 5, "tauto": [5, 17, 24, 34, 54, 62], "__arith": 5, "__x2": 5, "__x1": 5, "__wit": 5, "psatzadd": 5, "psatzin": 5, "psatzmul": 5, "psatzc": 5, "__varmap": 5, "varmap": 5, "elt": 5, "__ff": 5, "isprop": 5, "flh": 5, "peadd": [5, 11], "pex": [5, 11], "pemul": [5, 11], "pec": [5, 11], "fop": 5, "opl": 5, "frh": 5, "tt": [5, 13, 14, 17, 27, 40, 46, 54, 57], "oplt": 5, "qtautochecker_sound": 5, "qtautocheck": 5, "_q_scope": 5, "reifi": [5, 17], "stand": [5, 10, 17, 24, 26, 28, 34, 53, 71], "wit": [5, 14, 17, 24, 27, 39, 55, 64], "ff": 5, "bformula": 5, "unfold": [5, 9, 13, 14, 17, 24, 25, 31, 32, 34, 37, 54, 55, 57, 60, 62, 66, 71], "wlra_q": 5, "qwit": 5, "eval_bf": 5, "qeval_formula": 5, "vm_comput": [5, 17, 25, 32, 36, 51, 58], "coin": 5, "variant": [5, 13, 14, 17, 24, 25, 27, 28, 29, 32, 33, 34, 35, 37, 38, 42, 51, 54, 55, 59, 60, 63, 64, 66, 67, 71, 72], "extens": [6, 9, 10, 11, 12, 14, 17, 25, 26, 29, 32, 41, 42, 52, 53, 59, 62, 63], "style": [6, 17, 24, 25, 30, 37, 52, 55, 57, 62, 67], "bird": 6, "meerten": 6, "refin": [6, 13, 14, 17, 24, 27, 30, 32, 34, 35, 38, 43, 46, 52, 54, 55, 57, 58, 66, 71], "open_bind": [6, 28, 58, 64], "suchthat": [6, 17], "ident__i": 6, "shelv": [6, 13, 17, 25, 43, 57, 58, 60], "visibl": [6, 17, 24, 38, 52, 57, 60, 66, 71, 75], "mul_add_distr_l": 6, "focus": [6, 17, 25, 43, 55, 57, 58, 59, 60], "goal0": [6, 43, 58, 66], "rewrit": [6, 11, 14, 17, 24, 25, 33, 34, 35, 52, 54, 55, 58, 59, 60, 61, 77], "_nat_scop": [6, 31, 34, 38, 46, 57, 66], "execut": [6, 17, 24, 25, 29, 36, 51, 52, 53, 55, 57, 59, 64, 66, 67, 71], "obsolet": [6, 17, 24, 51, 58], "avoid": [6, 8, 11, 12, 13, 17, 24, 25, 29, 34, 37, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "lo\u00efc": [7, 17, 24], "pottier": [7, 17, 24, 57], "tactic": [7, 8, 9, 10, 13, 16, 25, 26, 29, 30, 31, 32, 33, 34, 35, 38, 40, 41, 46, 51, 52, 53, 59, 62, 65, 66, 73, 75], "altern": [7, 8, 9, 11, 13, 17, 24, 25, 29, 30, 35, 40, 43, 44, 46, 52, 53, 55, 57, 59, 62, 64, 65, 66, 71, 75, 77], "prefer": [7, 17, 25, 34, 51, 53, 57, 58, 59, 62, 66, 71], "nsatztact": [7, 17], "ring": [7, 17, 24, 25, 29, 37, 54, 55, 57, 59, 60, 61, 62, 72], "radicalmax": 7, "strategi": [7, 9, 13, 17, 24, 25, 26, 55, 57, 59, 60, 71, 77], "x_1": [7, 26, 34, 35], "x_n": 7, "q_1": [7, 34], "p_": [7, 34], "q_": 7, "commut": [7, 11, 17, 24, 44, 59], "divisor": [7, 17], "exampl": [7, 8, 9, 13, 24, 25, 32, 36, 45], "setoid": [7, 10, 11, 17, 24, 25, 42, 57], "wedg": 7, "introduct": [7, 13, 17, 24, 30, 34, 62, 67, 71], "buchberg": [7, 24, 77], "gmn": [7, 77], "91": [7, 60, 77], "revers": [7, 15, 17, 25, 34, 41, 57, 58, 60, 66], "lexicograph": [7, 11, 53], "newest": [7, 54, 55], "x_": [7, 34], "i_1": [7, 11, 34, 35], "i_k": [7, 34, 35], "among": [7, 13, 17, 24, 25, 26, 34, 44, 53, 54, 55, 57, 64], "ration": [7, 17, 24, 25, 37, 61, 71], "fraction": [7, 11, 17, 24, 29, 37, 57, 71], "coeffici": [7, 11, 17], "nonconst": 7, "lvar": 7, "especi": [7, 15, 17, 24, 26, 34, 44, 46, 54, 57, 60, 62, 64, 71], "geometri": [7, 24], "algebra": [7, 14, 17, 24, 39, 42, 54, 55, 64, 77], "easi": [7, 11, 13, 17, 27, 46, 52, 53, 60, 67], "p_i": [7, 34], "method": [7, 13, 17, 24, 30, 53, 59, 60, 77], "s_1": [7, 34, 35], "s_": [7, 34], "q_i": [7, 34], "achiev": [7, 11, 13, 17, 24, 54, 57, 71], "gr\u00f6bner": [7, 17], "basi": [7, 17, 52, 59], "ideal": 7, "reific": [7, 17, 64], "enrico": [8, 17, 42, 57, 77], "tassi": [8, 17, 42, 57, 77], "explain": [8, 13, 17, 24, 29, 42, 51, 52, 57, 60, 71, 72, 74], "reactiv": [8, 17, 59], "rocqid": [8, 25, 35, 51, 53, 54, 66, 76], "advantag": [8, 17, 24, 46, 51, 53, 57, 62, 64, 67], "batch": [8, 17, 25, 54, 66], "decoupl": [8, 17], "statement": [8, 9, 17, 24, 28, 32, 33, 41, 42, 44, 51, 57, 58, 59, 64, 66, 67, 71], "huge": [8, 11, 17, 54, 57, 66], "character": [8, 17, 34, 40, 42], "long": [8, 14, 17, 25, 30, 51, 52, 53, 58, 59, 67, 71], "benefici": 8, "short": [8, 14, 17, 24, 25, 31, 35, 36, 38, 51, 53, 55, 57, 59, 64, 75], "technic": [8, 17, 27, 34, 44, 51, 57, 77], "unsuit": 8, "kernel": [8, 9, 10, 12, 24, 25, 29, 32, 33, 36, 37, 38, 41, 45, 46, 53, 55, 58, 59, 64, 66], "late": [8, 17, 24, 25, 64], "At": [8, 11, 14, 24, 26, 27, 33, 34, 42, 51, 52, 54, 55, 57, 59, 60, 71, 74], "admit": [8, 9, 13, 17, 30, 32, 37, 42, 46, 51, 52, 57, 66], "window": [8, 17, 24, 51, 52, 53], "stabl": [8, 17, 24, 53], "quantifi": [8, 14, 17, 24, 25, 26, 28, 34, 39, 44, 57, 58, 62, 67], "enter": [8, 17, 25, 30, 32, 34, 35, 38, 44, 46, 52, 54, 55, 59, 60, 71], "exit": [8, 17, 25, 30, 32, 34, 38, 51, 52, 54, 59, 60, 75], "presenc": [8, 17, 24, 34, 44, 46, 57, 64, 72], "strictli": [8, 11, 14, 17, 41, 57, 71], "did": [8, 11, 17, 26, 29, 57, 58, 59, 66, 67], "auxiliari": [8, 17, 53, 54, 57, 66], "along": [8, 17, 24, 34, 53, 57, 58, 66, 74], "vo": [8, 17, 24, 25, 53, 59], "pff": 8, "2372": 8, "precisionnotzero": 8, "ftorradix": 8, "pgivesbound": 8, "radix": [8, 66], "radixmorethanon": 8, "radixmorethanzero": 8, "minim": [8, 17, 24, 25, 34, 51, 53, 57, 67], "unnecessari": [8, 17, 57, 62, 66], "unneed": [8, 17, 58], "extra": [8, 9, 17, 24, 25, 30, 34, 41, 42, 46, 53, 54, 57, 62, 64, 66, 71, 75], "attempt": [8, 14, 17, 24, 41, 52, 54, 66], "save": [8, 11, 17, 25, 35, 51, 53, 57, 66], "earlier": [8, 17, 53, 54], "accordingli": [8, 17, 40], "bail": 8, "out": [8, 17, 24, 29, 42, 52, 53, 54, 57, 58, 59, 60, 66, 71, 75], "confin": 8, "indent": [8, 17, 25, 66, 71, 75], "four": [8, 17, 25, 34, 52, 54, 55, 57, 71], "api": [8, 17, 25, 59, 63], "curli": [8, 25, 44, 59, 71], "delimit": [8, 17, 33, 35, 41, 44, 59, 66, 71, 75], "par": [8, 17, 52, 54], "selector": [8, 17, 25, 43, 53, 58, 59, 64, 66], "bullet": [8, 17, 25, 34, 59, 67], "level": [8, 13, 14, 17, 24, 25, 26, 27, 31, 35, 36, 37, 41, 42, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 72, 73, 75], "subsequ": [8, 14, 17, 29, 37, 38, 51, 54, 55, 58, 59, 66, 67, 71], "bogu": 8, "async": [8, 17, 52, 54], "recoveri": [8, 17, 52], "select": [8, 13, 17, 25, 35, 37, 41, 42, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 75, 77], "activ": [8, 9, 14, 17, 24, 25, 29, 32, 35, 37, 42, 43, 44, 46, 52, 53, 54, 59, 60, 64, 66, 71], "blocktyp": 8, "vscoq": [8, 17, 51, 53, 66], "master": [8, 17, 52, 53, 77], "feedback": [8, 17], "soon": [8, 9, 17, 24, 42, 52, 54, 57], "skip": [8, 17, 41, 42, 46, 51, 53, 54, 57, 58, 64, 66, 67], "deleg": [8, 17, 25, 29], "job": [8, 52, 53, 54, 57], "panel": [8, 17, 52, 66], "statu": [8, 12, 13, 14, 17, 51, 52, 53, 54, 57, 71], "red": [8, 17, 51, 52, 54, 64, 66], "button": [8, 17, 24, 52], "jump": [8, 17, 52, 57], "color": [8, 17, 25, 51, 52, 66, 75], "lighter": [8, 13], "lazili": [8, 17, 30, 54], "finish": [8, 13, 17, 29, 46, 54, 60, 64, 66, 67], "click": [8, 17, 52], "gear": [8, 52], "workmgr": 8, "util": [8, 17, 42, 51, 53, 57], "maximum": [8, 13, 17, 46, 60, 62, 64, 66], "background": [8, 17, 31, 51, 52, 54, 66], "assign": [8, 13, 17, 25, 27, 29, 43, 51, 52, 53, 54, 55, 58, 66, 71], "rocqworkmgr_socket": 8, "localhost": 8, "45634": 8, "shell": [8, 51, 53, 57, 59, 75], "bash": [8, 17, 52], "memori": [8, 11, 17, 24, 25, 29, 51, 53], "consumpt": [8, 17, 54, 55], "too": [8, 9, 11, 17, 54, 55, 57, 58, 67, 71], "littl": [8, 9, 11, 14, 17, 35, 57, 64], "threshold": [8, 17, 64, 71], "03": [8, 17, 53], "skeleton": 9, "rich": [9, 17, 57, 73], "soz07": [9, 77], "thought": [9, 26, 29, 63], "extract": [9, 25, 26, 27, 29, 34, 36, 51, 53, 57, 59, 71, 72, 73, 77], "regular": [9, 10, 13, 17, 36, 46, 51, 55, 57, 60, 64, 75], "whilst": 9, "desir": [9, 11, 17, 34, 52, 53, 54, 57, 59, 73, 75], "code": [9, 10, 11, 12, 17, 24, 25, 29, 33, 36, 51, 52, 53, 54, 55, 57, 59, 60, 63, 64, 71, 72, 73, 74, 75], "apparatu": 9, "pv": [9, 77], "ros98": [9, 77], "constrain": [9, 14, 24, 60, 67], "catherin": 9, "parent": [9, 17, 24, 77], "par95": [9, 77], "had": [9, 13, 17, 24, 42, 53, 54, 55, 66], "maintain": [9, 13, 17, 39, 46, 51, 53, 57, 58, 71], "permit": [9, 17, 24, 25, 34, 37, 38, 53, 54, 55, 58, 60, 64, 66, 67, 71], "coercion": [9, 13, 17, 24, 25, 28, 35, 37, 38, 41, 42, 45, 57, 58, 59, 77], "russel": [9, 17, 24], "process": [9, 11, 14, 17, 24, 25, 26, 30, 32, 35, 41, 42, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 75, 76], "plain": [9, 17, 35, 57, 75], "apart": [9, 13, 31, 35, 55], "proper": [9, 17, 24, 25, 54, 55, 59, 67], "claus": [9, 13, 14, 17, 24, 25, 28, 29, 30, 32, 34, 35, 40, 41, 51, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71, 72], "disequ": [9, 60], "intersect": 9, "div2": [9, 17, 72], "coercibl": [9, 57], "deactiv": [9, 17, 24, 25, 46, 59], "mode": [9, 13, 14, 17, 24, 25, 29, 30, 32, 34, 38, 41, 46, 54, 58, 59, 60, 65, 75], "typecheck": [9, 17, 41, 51, 55, 58, 59, 64, 66], "act": [9, 17, 37, 46, 52, 54, 55, 67], "unresolv": [9, 13, 17, 57, 58, 60, 64, 67], "hole": [9, 13, 17, 24, 25, 40, 43, 46, 55, 57, 58, 59, 62, 66, 67, 71], "commonli": [9, 14, 17, 27, 40, 53, 54, 55, 57, 58, 66], "legaci": [9, 14, 17, 29, 40, 60, 71, 72], "legacy_attr": [9, 14, 29, 35, 40], "elsewher": [9, 17, 52, 59, 71], "likewis": [9, 17, 55], "reflect": [9, 11, 14, 17, 24, 25, 40, 52, 53, 62, 64, 66, 72, 77], "dec": [9, 24, 46], "sumbool_of_bool": [9, 59], "pred": [9, 17, 27, 54, 57, 59, 60, 64], "tupl": [9, 17, 37, 42, 46, 55, 57, 58], "potenti": [9, 13, 25, 42, 46, 52, 54, 55, 57, 67, 71], "preterm": [9, 17, 55], "aforement": [9, 51], "monomorph": [9, 17, 25, 29], "absenc": [9, 17, 71], "enforc": [9, 12, 14, 17, 26, 32, 34, 44, 55, 57, 58, 66, 71], "mutual": [9, 17, 24, 25, 29, 30, 32, 37, 54, 55, 67, 71, 72], "fixannot": [9, 34, 72], "measur": [9, 17, 34, 54, 72], "div2_obligation_1": 9, "heq_n": 9, "proj1_sig": [9, 17, 46, 57], "div3": 9, "p0": [9, 31, 67, 72], "heq_n0": 9, "wildcard": [9, 13, 25, 28], "program_branch_0": [9, 13], "div2_obligation_2": 9, "program_branch_1": [9, 13], "div2_obligation_3": 9, "well_found": [9, 27], "mr": 9, "recarg": 9, "pars": [9, 17, 25, 27, 29, 41, 42, 46, 51, 54, 57, 59, 60, 74, 75], "explicit": [9, 10, 13, 17, 24, 25, 28, 31, 34, 37, 39, 41, 46, 55, 58, 60, 64, 66, 67, 71], "prototyp": [9, 17, 24], "guarded": [9, 66], "rid": [9, 17, 54, 57], "unsolv": [9, 17, 43, 66], "afterward": [9, 17, 41, 44, 52, 57, 60, 66, 67], "similarli": [9, 10, 13, 14, 17, 26, 28, 36, 38, 42, 44, 46, 52, 53, 54, 55, 57, 62, 64, 71, 75], "persist": [9, 17, 24, 29, 35, 36, 38, 64, 77], "reappli": 9, "addition": [9, 13, 14, 17, 34, 46, 53, 54, 58, 59, 64, 66], "solver": [9, 17, 25, 65], "fed": [9, 17, 55], "program_simpl": 9, "wrap": [9, 12, 13, 17, 36, 38, 53], "reject": [9, 17, 26, 34, 57, 64, 67, 71], "wellfound": [9, 17], "drawback": [9, 17, 67, 71], "underli": [9, 11, 17, 24, 26, 54, 57, 67, 71], "isn": [9, 10, 17, 28, 52, 57, 58, 60, 64, 66, 67], "anymor": [9, 17, 55, 59], "highli": [10, 43, 60, 63], "mistyp": 10, "anomali": [10, 17, 24, 59], "unlik": [10, 13, 17, 24, 30, 39, 52, 54, 55, 57, 58, 59, 60, 64, 67, 71], "pplu": 10, "rewrite_rul": 10, "univ_decl": [10, 14, 28, 35], "rw_pattern": 10, "namespac": [10, 14, 17, 35, 42, 53, 59], "against": [10, 13, 17, 44, 54, 57, 58, 59, 60, 62], "align": [10, 59, 71], "collect": [10, 17, 27, 51, 53, 60, 66, 72], "pplus_rewrit": 10, "rigid": [10, 13, 14, 17, 24, 60, 72], "enough": [10, 11, 14, 17, 34, 44, 57, 58, 67, 71], "discrimine": [10, 12, 46], "furthermor": [10, 17, 24, 25, 26, 29, 31, 33, 34, 51, 52, 55, 57, 63, 66], "grammar": [10, 17, 25, 28, 29, 54, 55, 57, 58, 62, 71], "rw_head_pattern": 10, "elimin": [10, 12, 14, 17, 24, 25, 26, 27, 30, 31, 34, 35, 37, 40, 54, 55, 58, 67, 71, 72, 77], "rw_pattern_arg": 10, "univ_annot": [10, 14, 29, 37], "bear": 10, "raise_nat": 10, "93": [10, 53, 54], "118": 10, "break": [10, 12, 17, 29, 30, 52, 57, 59, 64, 66, 71, 73, 74], "subject": [10, 17, 25, 26, 30, 31, 50, 51, 72], "22": [10, 12, 54, 57], "u0": [10, 14, 46], "sr": 10, "id_rew": 10, "qualiti": [10, 14, 17], "u1": [10, 13, 14, 17, 57], "u2": 10, "superfici": 10, "typed": [10, 55], "entir": [10, 13, 17, 24, 25, 31, 33, 34, 41, 44, 52, 53, 57, 60, 64, 66, 71], "neither": [10, 14, 17, 46, 54, 55, 57, 64, 67], "nor": [10, 11, 17, 26, 34, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71], "plan": [10, 17, 25, 53, 55, 72], "triangl": [10, 52], "criterion": [10, 17, 33, 34, 60], "ctw21": [10, 77], "expans": [10, 12, 13, 17, 25, 34, 53, 55, 57, 64, 71], "contract": [10, 17, 24, 31, 34, 54, 62, 71, 77], "integr": [10, 11, 17, 24, 25, 51, 52, 57, 61, 73], "upper": [10, 14, 17, 39, 44, 52], "layer": [10, 17, 25], "notabl": [10, 17, 24, 37, 51, 55, 57, 64, 67], "machin": [10, 17, 24, 25, 32, 36, 51, 54, 55, 64], "cbn": [10, 17, 41, 64], "cbv": [10, 14, 17, 24, 31, 57, 64], "manner": [10, 24, 51], "untyp": [10, 17, 25, 55, 71], "vm": [10, 17, 58, 59, 64], "risk": [10, 17, 24, 51, 59, 66], "segfault": [10, 17], "\u03b2\u03b4\u03b9": 11, "rightarrow_": [11, 37], "delta": [11, 17, 24, 32, 35, 37, 55, 64], "leftarrow_": 11, "peeval": 11, "pphi_dev": 11, "norm": 11, "bruno": [11, 17, 24], "barra": [11, 17, 24], "benjamin": [11, 17, 77], "gr\u00e9goir": [11, 17], "assia": [11, 17, 42, 57, 77], "mahboubi": [11, 17, 42, 57, 77], "laurent": [11, 17, 24], "th\u00e9ry": [11, 17, 24], "dedic": [11, 17, 24, 29, 36, 55, 57], "semir": [11, 17], "oplu": 11, "otim": 11, "distribut": [11, 17, 24, 25, 50, 73, 75], "uniti": 11, "v_0": 11, "v_1": [11, 31], "dot": [11, 14, 17, 24, 35, 37, 52, 59, 71], "v_": [11, 26], "i_n": [11, 57], "i_2": [11, 57], "sum": [11, 17, 24, 27, 35, 38, 40, 55, 62, 67, 71], "yx": 11, "25": [11, 44], "zx": 11, "28x": 11, "24": [11, 17, 44, 53, 77], "xz": 11, "xxy": 11, "yz": 11, "zy": 11, "frequent": [11, 17, 25, 53, 57, 66, 67, 71], "rare": [11, 17, 66], "gallina": [11, 17, 25, 41, 66, 75], "mult": [11, 17, 24, 26, 27, 57], "mapsto": 11, "v_2": 11, "paragraph": [11, 27, 35, 40, 57, 75], "polynom": 11, "common": [11, 14, 17, 25, 26, 27, 29, 31, 32, 34, 42, 55, 57, 60, 67, 71, 74], "predefin": [11, 24, 25, 51, 52, 66], "arithr": 11, "zarithr": 11, "narithr": [11, 17], "narith": [11, 17], "zifi": [11, 17, 25, 29, 54, 55, 57, 60], "micromega": [11, 17, 25, 29, 54, 55, 57, 60, 61, 66], "btauto": [11, 17, 29, 57, 62], "30": [11, 17, 24, 27, 71], "Not": [11, 17, 32, 44, 51, 52, 54, 55, 58, 64, 67, 72, 75, 77], "ring_simplifi": [11, 17], "invok": [11, 17, 34, 51, 53, 60, 66, 67, 75], "lookup": 11, "ltac_expr0": [11, 54], "protect": [11, 17, 30, 57], "fv": 11, "ring_theori": 11, "semi_ring_theori": 11, "mk_rt": 11, "radd_0_l": 11, "radd_sym": 11, "radd_assoc": 11, "rmul_1_l": 11, "rmul_sym": 11, "rmul_assoc": 11, "rdistr_l": 11, "rsub_def": 11, "ropp_def": 11, "mk_srt": 11, "sradd_0_l": 11, "sradd_sym": 11, "sradd_assoc": 11, "srmul_1_l": 11, "srmul_0_l": 11, "srmul_sym": 11, "srmul_assoc": 11, "srdistr_l": 11, "surject": [11, 37], "ring_morph": 11, "mkmorph": 11, "morph0": 11, "morph1": 11, "ci": [11, 17, 53, 57, 73], "morph_add": 11, "morph_sub": 11, "morph_mul": 11, "morph_opp": 11, "morph_eq": 11, "semi_morph": 11, "mkrmorph": 11, "smorph0": 11, "smorph1": 11, "smorph_add": 11, "smorph_mul": 11, "smorph_eq": 11, "c0": [11, 59], "cpow": 11, "cp_phi": 11, "rpow": 11, "power_theori": 11, "mkpow_th": 11, "rpow_pow_n": 11, "pow_n": 11, "ring_mod": 11, "preprocess": [11, 17], "postprocess": 11, "tailor": 11, "setoid_theori": [11, 17], "ring_eq_ext": 11, "sring_eq_ext": 11, "initialr": 11, "notconst": 11, "nontrivi": [11, 17, 46, 51, 57], "preliminari": 11, "better": [11, 14, 17, 24, 51, 52, 53, 57, 59, 60, 64, 67, 71, 72], "undo": [11, 17, 52, 54, 58, 59, 66], "preprocessor": [11, 24], "expon": [11, 17, 29, 71], "realfield": 11, "minu": [11, 17, 29, 41, 72], "get_sign": 11, "euclidean": [11, 17, 24, 25, 57], "div_theori": 11, "7x": 11, "good": [11, 17, 53, 54, 55, 57, 66], "philosoph": 11, "calculu": [11, 14, 17, 24, 25, 27, 29, 31, 33, 34, 35, 37, 46, 54, 57, 58, 62, 64, 66, 67, 71, 77], "strongli": [11, 15, 17, 34, 35, 44, 53, 54, 57, 59], "advis": [11, 17, 24, 25, 28, 29, 30, 54, 60], "ring_polynom": 11, "pexpr": 11, "pesub": 11, "peopp": 11, "pepow": 11, "pol": 11, "pc": 11, "pinj": 11, "px": [11, 24, 57], "v_i": [11, 31], "big": [11, 14, 17, 57, 59, 71], "pphi_dev_ok": 11, "pe": 11, "npe": 11, "piec": [11, 42, 43, 53, 55, 57], "summar": [11, 51, 57, 66], "diagram": 11, "chosen": [11, 34, 54, 55, 57, 58, 66, 71], "denomin": [11, 17, 37, 71], "neq": 11, "broken": [11, 17, 71], "proven": [11, 17, 52, 58, 64, 66, 67], "rbase": [11, 17, 24], "qcanon": 11, "r_scope": [11, 71], "auto": [11, 13, 14, 17, 24, 29, 34, 41, 44, 51, 52, 54, 57, 58, 59, 60, 62, 66, 67, 72], "h1": [11, 17, 34, 43, 54, 55, 57, 58, 62, 66, 67], "f_1": [11, 34], "f_2": [11, 34], "n_1": [11, 26], "d_1": 11, "n_2": 11, "d_2": 11, "cancel": [11, 38, 41, 57, 66], "field_theori": 11, "semi_field_theori": 11, "semifield": 11, "mk_field": 11, "f_r": 11, "ro": 11, "ri": [11, 17, 51], "radd": 11, "rmul": 11, "rsub": 11, "ropp": 11, "req": 11, "f_1_neq_0": 11, "fdiv_def": 11, "finv_l": 11, "mk_sfield": 11, "sf_sr": 11, "sf_1_neq_0": 11, "sfdiv_def": 11, "sfinv_l": 11, "mk_linear": 11, "num": [11, 17], "denum": 11, "field_mod": 11, "samuel": [11, 17, 24], "boutin": [11, 24, 77], "acdsimpl": 11, "zmult_comm": 11, "eq_ind_r": [11, 27], "z0": [11, 17, 71], "mul_comm": [11, 59], "_z_scope": 11, "hundr": [11, 64], "rewrot": [11, 17], "bou97": [11, 77], "later": [11, 17, 25, 31, 32, 43, 44, 50, 53, 55, 57, 58, 66, 67, 71], "patrick": [11, 24], "loiseleur": [11, 24], "interleav": [11, 17, 58], "he": [11, 17, 24, 57], "wrote": [11, 17, 24], "larg": [11, 14, 17, 25, 26, 29, 34, 35, 39, 52, 53, 54, 57, 61, 64, 66, 67, 71, 75], "motiv": [11, 17, 55, 57, 77], "34": [11, 53, 71, 77], "12": [11, 25, 29, 53, 54, 57, 58, 60, 71], "46": [11, 77], "ominu": 11, "v_3": 11, "far": [11, 24, 46, 52, 57, 66, 71], "faster": [11, 17, 24, 51, 58, 59, 62, 64], "free": [11, 17, 24, 26, 34, 44, 52, 54, 55, 57, 58, 62, 64, 71, 75, 77], "difficult": [11, 17, 29, 55, 72], "ultim": 11, "answer": [11, 46, 53], "intens": [11, 17, 24, 64], "classic": [11, 17, 24, 25, 34, 51, 55, 57, 66], "tautologi": [11, 17, 24, 54, 62], "backtrack": [11, 13, 17, 24, 25, 52, 58, 60, 67], "clearli": [11, 24, 71, 74], "significantli": [11, 17, 24, 57, 66], "idea": [11, 17, 34, 42, 54], "suggest": [11, 17, 24, 25, 34, 51, 52, 53, 57, 66], "werner": [11, 17, 24, 77], "coupl": [11, 17, 46, 53, 57, 75], "tool": [11, 14, 25, 29, 51, 52, 53, 54, 57, 59, 66, 71, 72, 75, 77], "model": [11, 17, 24, 57, 77], "trace": [11, 13, 17, 25, 32, 51, 53, 57, 58, 59], "replai": [11, 57], "footnot": [11, 38, 57, 71], "bytecod": [12, 17, 59, 64], "gcst19": [12, 39, 77], "strictprop": [12, 17], "startup": [12, 51, 53, 60], "purpos": [12, 14, 17, 24, 27, 34, 35, 42, 51, 52, 54, 55, 57, 64, 66, 67, 71], "hx": [12, 57, 58], "\u03b7": [12, 17, 25, 30], "tractabl": 12, "cumul": [12, 13, 17, 24, 25, 26, 29, 30, 31, 34, 37, 40, 71], "forbidden": [12, 17, 24, 25], "relev": [12, 17, 24, 28, 30, 32, 34, 40, 46, 51, 53, 54, 57, 58, 64, 66, 71], "world": [12, 17, 24, 55, 57, 77], "escap": [12, 17, 25, 51, 53, 71], "box": [12, 17, 29, 54, 71], "box_rect": 12, "box_ind": 12, "box_rec": 12, "box_sind": 12, "box_irrelev": 12, "squash": [12, 14, 17], "isquash": 12, "isquash_sind": 12, "Or": [12, 17, 41, 53, 58, 71], "sempti": 12, "sempty_rect": 12, "sempty_ind": 12, "sempty_rec": 12, "sempty_sind": 12, "foo_sind": 12, "foo_ind": [12, 17, 57], "sprod": 12, "sfst": 12, "ssnd": 12, "extension": [12, 17, 27, 30, 57], "rbox": 12, "runbox": 12, "ssig": 12, "spr1": 12, "spr2": 12, "trivial": [12, 13, 14, 17, 34, 46, 53, 54, 55, 57, 58, 60, 66, 67], "sunit": 12, "stt": 12, "sunit_rect": 12, "is_tru": [12, 57], "is_true_eq_tru": 12, "eq_true_is_tru": 12, "seq": [12, 13, 30, 46, 55, 57, 67], "srefl": [12, 46], "seq_rect": [12, 46], "seq_ind": [12, 46], "seq_rec": [12, 46], "seq_sind": [12, 46], "hidden_arrow": 12, "stuck": [12, 13, 17], "Such": [12, 30, 35, 42, 44, 53, 55, 59, 71, 75], "around": [12, 17, 24, 29, 46, 52, 53, 55, 57, 58, 59, 64, 67, 71, 75], "ac19": [12, 77], "all_eq": 12, "transport": [12, 17], "timeout": [12, 17, 25, 59, 64], "infinit": [12, 30, 34, 39], "binder": [12, 13, 17, 24, 25, 30, 32, 34, 37, 38, 40, 52, 54, 55, 58, 59, 63, 64, 67, 75], "bug": [12, 17, 24, 52, 54, 66], "incorrectli": [12, 17, 55], "leav": [12, 13, 17, 32, 35, 52, 54, 57, 58, 59, 60, 64, 66, 67], "silent": [12, 14, 17, 24, 29, 51, 53, 59, 66, 72], "repair": [12, 17], "affect": [12, 17, 24, 29, 34, 41, 44, 46, 53, 54, 55, 57, 59, 60, 64, 66, 71], "programmat": 13, "quick": [13, 17, 24, 27, 54, 57, 66, 74], "paper": [13, 24, 42, 54, 57, 72, 77], "so08": [13, 77], "literatur": [13, 34], "class": [13, 17, 24, 25, 27, 28, 35, 39, 42, 44, 57, 59, 60, 62, 64], "classnam": 13, "p1": [13, 17, 37, 57, 67], "pn": [13, 17, 57], "f1": [13, 17, 41, 51, 57, 71], "fm": 13, "um": [13, 57], "instancenam": 13, "qm": 13, "tm": 13, "pi": [13, 17, 52], "ti": [13, 57], "fi": 13, "rise": [13, 24], "ll": [13, 17, 34, 52, 53], "eqdec": [13, 38, 60], "eqb_leibniz": 13, "unit_eqdec": 13, "member": [13, 42, 55], "oblig": [13, 17, 25, 37, 57, 62, 72], "eq_bool": 13, "discrimin": [13, 17, 24, 54, 57, 58, 59, 60, 62, 64, 66], "richer": [13, 25], "facil": [13, 17, 24, 52, 54, 55, 57, 59], "neqb": 13, "generaliz": [13, 17, 44], "neqb_implicit": 13, "prod_eqb": 13, "ea": 13, "eb": 13, "la": [13, 17, 24, 52, 55, 77], "ra": 13, "lb": 13, "rb": 13, "prod_eqb_obligation_1": 13, "eas": [13, 17, 37, 53, 55, 57, 58, 66], "eqdec_def": 13, "option_eqb": 13, "program_branch_2": 13, "y1": [13, 27, 42, 46, 59], "option_eqb_obligation_1": 13, "option_eqb_obligation_2": 13, "option_eqb_obligation_3": 13, "_type_scop": [13, 14, 34, 44, 46, 66, 67], "1182": 13, "1383": 13, "redeclar": [13, 17], "ord": [13, 57], "le_eqb": 13, "compon": [13, 17, 24, 25, 30, 33, 34, 35, 37, 42, 51, 52, 53, 54, 57, 59, 60, 71], "preorder": [13, 57, 59], "preorder_reflex": [13, 59], "preorder_transit": 13, "easili": [13, 17, 53, 57, 72], "useless": [13, 14, 17, 24, 25, 37, 46, 60], "templat": [13, 17, 25, 30, 37, 40, 66], "privat": [13, 14, 17, 25, 29, 30, 34, 37], "queri": [13, 17, 25], "hint_info": [13, 60], "field_val": [13, 37], "prioriti": [13, 17, 37, 46, 52, 57, 59, 66, 71], "one_pattern": [13, 59, 60], "trigger": [13, 17, 25, 29, 44, 54, 55, 57, 60, 71], "bf": [13, 17], "df": [13, 17], "best": [13, 17, 53, 54, 57, 60, 71], "effort": [13, 17, 24, 63, 74], "engin": [13, 17, 24, 33, 43, 55, 57, 58, 64, 77], "multi": [13, 17, 25, 52, 54, 55, 66, 75], "analys": 13, "hintdb": [13, 17, 55, 60], "full": [13, 14, 17, 24, 25, 30, 34, 43, 46, 52, 57, 58, 64, 66, 71, 77], "suspend": [13, 17, 66], "until": [13, 14, 17, 24, 26, 31, 32, 34, 40, 52, 54, 55, 57, 60, 64, 66, 67, 72], "reach": [13, 52, 58], "breadth": 13, "deepen": 13, "best_effort": [13, 17], "couldn": 13, "unbound": [13, 14, 17, 54, 55, 58], "count": [13, 17, 25, 51, 57, 58, 59, 64, 66, 67], "faithfulli": 13, "mimic": [13, 37, 57], "move": [13, 17, 24, 25, 43, 52, 53, 55, 66, 67, 71], "autoappli": [13, 17], "shortcut": [13, 17, 25, 52, 55, 64, 71], "prevent": [13, 17, 29, 34, 41, 42, 51, 53, 54, 57, 64, 71], "releas": [13, 15, 17, 24, 25, 52, 53, 57, 63, 74], "filter": [13, 17, 30, 51, 53, 59, 60], "eta": [13, 17, 25, 31, 37], "expens": [13, 17, 54, 66], "rebuild": [13, 17], "benefit": [13, 17, 51, 57], "invert": [13, 17, 57, 67, 72], "elabor": [13, 14, 17, 25, 33, 37, 41, 44, 45, 51, 55, 58], "stricter": [13, 14, 17], "freez": 13, "verbos": [13, 17, 42, 51, 59], "successfulli": [13, 51, 52, 54, 57, 62, 63], "reus": [14, 17, 41, 57, 58, 59, 63, 64, 66], "sometim": [14, 17, 24, 25, 31, 34, 46, 53, 54, 55, 57, 59, 60, 66, 67, 71], "incompat": [14, 24, 25, 34, 41, 46, 54, 57, 59, 66, 71], "self": [14, 17, 54, 55, 67, 71], "selfid": 14, "pident": 14, "167": 14, "176": 14, "selfpid": 14, "monoid": [14, 55], "ourselv": [14, 34], "mon_car": 14, "mon_unit": 14, "mon_op": 14, "build_monoid": 14, "_function_scop": [14, 34, 46, 57, 67], "unit_monoid": 14, "greater": [14, 17, 24, 34, 52, 71], "pprod": 14, "max": [14, 17, 24, 39, 46, 54, 59], "ppair": 14, "pfst": 14, "psnd": 14, "40": [14, 17, 27, 41, 71], "type_scop": [14, 17, 25, 52, 54, 57, 58], "core_scop": [14, 71], "cartesian": [14, 54], "monoid_op": 14, "prod_monoid": 14, "monoids_monoid": 14, "live": [14, 17, 51, 55], "coinduct": [14, 17, 25, 26, 32, 33, 34, 37, 40, 46, 54, 59, 67, 71], "attribtu": 14, "list_rect": [14, 34, 41, 44, 46, 57, 67], "list_ind": [14, 34, 41, 44, 46, 57, 67], "list_rec": [14, 34, 41, 44, 46, 57, 67], "list_sind": [14, 34, 41, 44, 46, 57, 67], "invari": [14, 17, 55], "covari": 14, "irrelev": [14, 17, 25, 32, 33, 34, 39, 54, 55, 57, 64, 77], "contravari": 14, "\u03b3": [14, 26, 31, 34, 35, 38, 55], "\u03b2\u03b4\u03b9\u03b6\u03b7": [14, 26, 31, 34, 35], "packtyp": 14, "pk": [14, 57], "1604": 14, "1612": 14, "lower": [14, 17, 25, 52, 54, 55, 57, 60, 64, 71], "monad": [14, 17, 55], "build_monad": 14, "dummy_rect": 14, "dummy_ind": 14, "dummy_rec": 14, "dummy_sind": 14, "2170": 14, "2175": 14, "insuffici": [14, 17, 51], "101": 14, "invariant_rect": 14, "invariant_ind": 14, "invariant_rec": 14, "invariant_sind": 14, "covariant_rect": 14, "covariant_ind": 14, "covariant_rec": 14, "covariant_sind": 14, "irrelevant_rect": 14, "irrelevant_ind": 14, "irrelevant_rec": 14, "irrelevant_sind": 14, "low": [14, 17, 25], "high": [14, 17, 24, 25, 35, 59, 60, 66, 72], "inv_low": 14, "inv_high": 14, "co_low": 14, "co_high": 14, "irr_low": 14, "irr_high": 14, "eq_rect": [14, 17, 27, 34, 40, 67], "eq_ind": [14, 27, 40], "eq_rec": [14, 27, 34, 40], "eq_sind": [14, 27, 40], "inhabit": [14, 29, 31, 32, 34, 37, 40, 43, 46, 51], "fit": [14, 17, 29, 34, 52, 55, 57, 71], "funext_typ": 14, "funext_down": 14, "145": [14, 53], "146": 14, "delai": [14, 17, 25, 40, 64], "flexibl": [14, 17, 55, 58, 64], "discard": [14, 17, 52, 54, 55, 58, 64, 75], "predict": [14, 17, 54, 64], "indistinguish": [14, 37], "accomplish": [14, 57], "cut": [14, 17, 24, 25, 29, 52, 57, 58, 60], "tend": [14, 57], "inclus": [14, 17, 54, 55], "id0": 14, "toset": [14, 17], "collaps": [14, 17, 51], "float": [14, 17, 24, 25, 59, 71], "universe_nam": [14, 39], "univ_level_or_qu": 14, "univ_constraint": 14, "cumul_univ_decl": [14, 34], "undeclar": [14, 17], "wizard": 14, "diagnos": 14, "appar": [14, 17, 51, 54, 57], "subgraph": [14, 17], "debug_univ_nam": 14, "adjust": [14, 17, 38, 71], "kept": [14, 17, 24, 36, 53, 67, 75], "init": [14, 17, 27, 28, 35, 51, 54, 55, 58, 59, 60, 66, 67, 71], "make_a_le_b": 14, "make_b_le_c": 14, "make_c_le_a": 14, "extrem": [14, 17, 29, 57], "unstabl": [14, 17], "hierarchi": [14, 17, 24, 25, 34, 39, 51], "filenam": [14, 17, 25, 51, 52, 59, 64, 75], "gv": [14, 17], "graphviz": [14, 17], "format": [14, 17, 24, 26, 35, 37, 42, 51, 52, 53, 57, 71, 75], "shadow": [14, 17, 44, 66], "foobar": 14, "155": 14, "4136": 14, "4140": 14, "anonym": [14, 17, 24, 25, 44, 54, 66], "attach": [14, 17, 29, 52, 59, 71, 74], "underscor": [14, 17, 29, 37, 44, 51, 71, 75], "160": 14, "161": 14, "162": [14, 53], "165": 14, "freeli": [14, 57], "mainli": [14, 60, 75], "168": 14, "public": [14, 17, 25, 50, 59, 74], "xxx": 14, "169": [14, 17], "4400": 14, "4403": 14, "regard": [14, 17, 51, 58], "170": 14, "4524": 14, "4527": 14, "174": 14, "baz": [14, 53], "outer": [14, 17, 46, 66], "4684": 14, "4687": 14, "parser": [14, 17, 24, 29, 53, 57, 71], "regardless": [14, 17, 42, 57, 60, 66], "fof": 14, "idtac": [14, 17, 25, 52, 55, 57, 60, 66, 71, 74], "\u03b113": 14, "179": 14, "distinguish": [14, 17, 24, 26, 34, 37, 57, 64, 71], "ground": [14, 17, 54, 62, 71, 75], "uip": [14, 17, 25, 46, 59], "squash_ind": 14, "squash_sind": 14, "squash_prop_rect": 14, "squash_prop_srect": 14, "sigma": [14, 17, 37, 67, 71], "pr1": 14, "pr2": 14, "contrast": [14, 17, 34, 53, 57, 60, 62, 64, 67], "mononorph": 14, "mix": [14, 17, 24, 27, 42, 54, 57, 71], "sensibl": [14, 24], "chronolog": 15, "major": [15, 17, 24, 26, 42, 51, 53, 55, 73, 74], "read": [15, 17, 26, 29, 42, 51, 52, 57, 59, 64, 71, 75], "advic": [15, 17], "upgrad": [15, 17, 25], "quickli": [16, 17, 25, 44], "glossari": [16, 17, 25, 29], "redefinit": [17, 54, 55], "20054": 17, "ga\u00ebtan": 17, "gilbert": [17, 77], "is_str": 17, "is_sort": 17, "20088": 17, "jason": 17, "gross": 17, "decompose_app_list": 17, "decompose_app": 17, "20089": 17, "is_som": 17, "is_non": 17, "20184": 17, "timelog2html": [17, 53], "packag": [17, 24, 25, 35, 42, 51, 52, 59, 67, 73, 75], "devtool": [17, 53], "instal": [17, 25, 35, 51, 52, 64, 66, 72, 73], "20169": 17, "utf8": [17, 52, 53, 75], "os": 17, "20256": 17, "11526": 17, "19160": 17, "increment": [17, 24, 30, 31, 32, 33, 34, 38, 55, 66], "19250": 17, "19254": 17, "19263": 17, "mari": 17, "p\u00e9drot": 17, "backward": [17, 25, 51, 52, 55, 57, 63, 66, 71], "19262": 17, "19164": 17, "18762": 17, "jan": [17, 24, 77], "oliv": 17, "kaiser": 17, "systemat": [17, 24, 44, 55, 57, 64], "univ": 17, "18960": 17, "hugo": [17, 24, 46], "herbelin": [17, 24, 46], "19295": 17, "19329": 17, "19327": 17, "of_type_inst": [17, 34, 37], "keyword": [17, 24, 25, 28, 29, 32, 37, 40, 46, 55, 57, 64, 71, 75], "changelog": [17, 24], "entri": [17, 24, 25, 28, 29, 37, 51, 52, 53, 54, 55, 67], "former": [17, 29, 30, 57, 75], "19519": 17, "roux": 17, "proj": [17, 24, 54], "lh": [17, 55, 57, 59], "19611": 17, "quentin": 17, "vermand": 17, "evar": [17, 24, 54, 55, 57, 58, 59, 64, 71], "19833": 17, "19296": 17, "7913": 17, "19092": 17, "18951": 17, "mishandl": 17, "19257": 17, "16906": 17, "19773": 17, "10407": 17, "19775": 17, "12417": 17, "unicod": [17, 25, 75], "19693": 17, "19512": 17, "guillaum": 17, "melquiond": 17, "hnf": [17, 24, 41, 42, 57, 58, 64, 67], "insensit": 17, "prescrib": [17, 57], "exception": [17, 24, 64], "18580": 17, "ncring_tac": 17, "extra_reifi": 17, "matter": [17, 37, 51, 57, 64, 67], "ncring": 17, "19501": 17, "gintuit": 17, "19704": 17, "19817": 17, "jim": 17, "fehrl": 17, "lia": [17, 25, 54, 55, 57, 60], "nia": [17, 25], "nra": [17, 25], "19703": 17, "refold": [17, 64], "destructor": [17, 25, 30, 31, 37], "occasion": [17, 24, 29, 53, 66], "scrupul": 17, "18591": 17, "16040": 17, "19436": 17, "15432": 17, "metavari": [17, 24, 25, 54, 55, 62], "19769": 17, "17314": 17, "20004": 17, "20003": 17, "14289": 17, "19032": 17, "benni": 17, "smit": 17, "of_int": [17, 36], "uint63": [17, 36], "19197": 17, "19575": 17, "noccur_between": 17, "noccurn": 17, "19614": 17, "occur_between": 17, "occurn": 17, "opposit": [17, 31, 32, 46, 58, 64], "hyp_valu": 17, "19630": 17, "ltac2_quot": [17, 55], "ltac2_delta_reduct": [17, 55], "19589": 17, "19590": 17, "focuss": 17, "19961": 17, "daniil": 17, "iaitskov": 17, "sym_equ": [17, 57], "19372": 17, "19399": 17, "not_locked_false_eq_tru": 17, "19382": 17, "eg": [17, 53], "19277": 17, "guard": [17, 24, 25, 27, 30, 32, 34, 41, 44, 46, 57, 59, 64, 66, 67, 71, 72, 77], "classifi": 17, "19383": 17, "19528": 17, "misord": 17, "19624": 17, "colon": [17, 51, 53, 57, 66], "19730": 17, "eras": [17, 44, 57, 58, 67, 75], "19808": 17, "findlib": [17, 53, 59], "18385": 17, "emilio": 17, "jes\u00fa": 17, "gallego": 17, "aria": 17, "19678": 17, "19872": 17, "clear": [17, 24, 25, 29, 38, 41, 44, 54, 55, 58, 64, 67, 71], "19216": 17, "lsp": [17, 29, 74], "19300": 17, "19362": 17, "19390": 17, "19473": 17, "19517": 17, "19640": 17, "surviv": [17, 24, 60, 71], "19361": 17, "19360": 17, "19768": 17, "19767": 17, "synterp": 17, "schedul": 17, "19981": 17, "19370": 17, "coq_makefil": [17, 24, 52], "makefil": [17, 25, 51, 52, 59], "cmx": [17, 51], "19841": 17, "coqdep": [17, 53], "19863": 17, "dialog": [17, 52, 65], "margin": [17, 57], "spin": 17, "19417": 17, "sylvain": [17, 77], "chiron": 17, "ok": [17, 29, 52, 58], "immedi": [17, 24, 27, 54, 55, 57, 58, 59, 60, 66], "item": [17, 24, 25, 29, 52, 54, 55, 58, 60, 64, 66, 67, 71, 75], "unjustifi": 17, "coqidetop": 17, "20036": 17, "19188": 17, "buffer": [17, 25, 35, 53], "restart": [17, 51, 52, 53, 54, 57, 66], "19166": 17, "tab": [17, 29, 52, 53], "reorder": [17, 25, 52], "repositori": [17, 53, 63, 74], "19975": 17, "who": [17, 24, 54, 57, 59], "tini": 17, "19530": 17, "cep": 17, "83": 17, "dune": [17, 25, 51, 59], "19378": 17, "coqc": [17, 24, 53], "prof": [17, 53], "gz": [17, 51, 53], "19428": 17, "coqchk": 17, "bump": 17, "19621": 17, "19834": 17, "xdg": [17, 53], "coqpath": 17, "loadpath": [17, 24, 51, 53, 59], "19842": 17, "host": 17, "virtual": [17, 24, 32, 53, 64], "highlight": [17, 51, 52, 53, 57, 63, 66], "went": [17, 54, 55], "docker": 17, "keeper": 17, "fold_left2": 17, "fold_right2": 17, "ing": [17, 74], "mutabl": 17, "mutat": 17, "some_expr": 17, "smooth": [17, 24, 57], "th\u00e9o": 17, "zimmermann": [17, 77], "ali": 17, "caglayan": 17, "coqbot": 17, "pull": [17, 55], "task": [17, 57, 75], "erik": 17, "martin": [17, 24, 27, 34, 77], "dorel": 17, "date": [17, 24, 53], "cyril": [17, 29], "cohen": 17, "vincent": 17, "laport": 17, "nix": 17, "rudi": 17, "grinberg": 17, "rodolph": 17, "lepigr": 17, "opam": [17, 25, 27, 73], "claret": 17, "karl": 17, "palmskog": 17, "contribut": [17, 25, 53, 71], "websit": [17, 75, 76], "lass": [17, 77], "blaauwbroek": 17, "andrej": 17, "dudenhefn": 17, "andr": 17, "erbsen": 17, "ralf": 17, "jung": 17, "chantal": 17, "keller": 17, "olivi": [17, 24], "yishuai": 17, "li": 17, "ralph": 17, "matth": 17, "pit": 17, "claudel": 17, "rousselin": 17, "michael": 17, "soegtrop": 17, "soukouki": 17, "niel": 17, "van": 17, "der": 17, "weid": 17, "nickolai": 17, "zeldovich": 17, "team": [17, 24], "book": [17, 25], "page": [17, 25, 27, 51, 52, 71, 75], "59": [17, 57], "contributor": 17, "timur": 17, "aminev": 17, "bj\u00f6rn": 17, "brandenburg": 17, "nikolao": 17, "chatzikonstantin": 17, "chluebi": 17, "anton": 17, "danilkin": 17, "louis": 17, "duboi": 17, "de": [17, 24, 31, 33, 59, 77], "prisqu": 17, "d\u00e9n\u00e8": 17, "david": [17, 24, 72, 77], "fissor": 17, "andrea": [17, 77], "florath": 17, "yannick": 17, "forster": 17, "mario": 17, "frank": [17, 77], "georg": [17, 57, 77], "gonthier": [17, 57, 77], "stefan": 17, "haan": 17, "lennart": 17, "jablonka": 17, "evgenii": 17, "kosogorov": 17, "yann": [17, 24], "lerai": 17, "cook": 17, "munch": 17, "maccagnoni": 17, "julien": [17, 72], "puydt": 17, "ramkumar": 17, "ramachandra": 17, "kazuhiko": 17, "sakaguchi": 17, "bernhard": 17, "schommer": 17, "remi": 17, "seassau": 17, "romain": 17, "tetlei": 17, "alexei": 17, "trili": 17, "turner": 17, "yao": 17, "xia": 17, "club": 17, "inria": [17, 24, 25, 27, 53, 75, 77], "fr": [17, 24, 25, 27, 53, 75, 77], "mail": 17, "discours": [17, 52], "forum": 17, "zulip": [17, 52, 54], "chat": 17, "span": 17, "month": 17, "470": 17, "merg": [17, 44], "pr": 17, "113": 17, "toulous": 17, "septemb": [17, 24, 77], "2024": 17, "17986": 17, "grant": 17, "18038": 17, "18973": 17, "offer": [17, 29, 46, 51, 52, 54, 57, 59, 71], "opportun": 17, "codebas": 17, "bewar": [17, 53, 55, 63, 67], "bin": [17, 53], "awk": 17, "startclass": 17, "inclass": 17, "indefclass": 17, "definitionalclass": 17, "18590": 17, "18743": 17, "cofixpoint": [17, 29, 30, 32, 34, 38, 57, 59, 64, 66], "bypass_guard": 17, "clearbodi": [17, 24, 38, 58], "18754": 17, "18834": 17, "13812": 17, "14841": 17, "18873": 17, "3889": 17, "18915": 17, "11766": 17, "11988": 17, "ins": [17, 58, 59], "18921": 17, "5777": 17, "11030": 17, "11586": 17, "18929": 17, "1956": 17, "18958": 17, "18920": 17, "19100": 17, "19099": 17, "reserv": [17, 25, 29, 35, 40, 54, 57, 59], "16329": 17, "16262": 17, "longest": [17, 29, 34, 41, 42, 57, 71, 75], "19149": 17, "postfix": [17, 57, 71], "unusu": 17, "18588": 17, "19049": 17, "correctli": [17, 24, 29, 34, 51, 52, 53, 54], "18445": 17, "18447": 17, "18342": 17, "virtu": 17, "q\u2081": 17, "q\u2082": 17, "minor": [17, 51, 57, 71], "variat": [17, 59, 77], "thereof": 17, "euclidean_division_equations_flag": 17, "default_with": 17, "find_duplicate_quoti": 17, "to_euclidean_division_equations_with": 17, "17934": 17, "opac": [17, 59, 64], "18327": 17, "18281": 17, "convention": [17, 53, 71], "18395": 17, "18909": 17, "coqlib": [17, 53], "19115": 17, "18887": 17, "cutrewrit": 17, "19027": 17, "19006": 17, "undocu": [17, 24, 59], "19129": 17, "destauto": [17, 67], "11537": 17, "19179": 17, "17927": 17, "doubl": [17, 24, 27, 29, 34, 44, 52, 53, 54, 57, 59, 71, 75], "18729": 17, "19060": 17, "13480": 17, "18576": 17, "4056": 17, "18577": 17, "7982": 17, "18601": 17, "unnam": [17, 44, 52, 57, 66, 71], "18616": 17, "17897": 17, "18618": 17, "9086": 17, "18094": 17, "13702": 17, "18463": 17, "18411": 17, "believ": [17, 54, 55], "pleas": [17, 24, 44, 53, 54, 55, 62, 66, 67, 72, 77], "18432": 17, "17477": 17, "18706": 17, "18713": 17, "18940": 17, "pretyp": [17, 51, 55], "open_constr_flag": 17, "mislead": [17, 71], "open_constr": [17, 55, 71], "18765": 17, "fst": [17, 24, 27, 35, 42, 46, 71], "snd": [17, 24, 27, 35, 42, 46, 71], "18370": 17, "ltac1": [17, 25], "of_preterm": 17, "to_preterm": 17, "18551": 17, "of_intro_pattern": 17, "to_intro_pattern": 17, "18558": 17, "unshelv": [17, 43, 66], "18604": 17, "unus": [17, 25, 53, 58, 71], "18641": 17, "numgoal": [17, 25], "18690": 17, "intropattern": [17, 55, 58, 67], "18757": 17, "18764": 17, "18766": 17, "18656": 17, "pretti": [17, 24, 25, 27, 51, 53, 57, 59, 71], "printer": [17, 24, 29, 46, 57, 59, 71], "18988": 17, "18989": 17, "19204": 17, "new_goal": 17, "shelf": [17, 66], "19141": 17, "19138": 17, "18224": 17, "ssrfun": [17, 57], "15121": 17, "18449": 17, "18017": 17, "fun_scop": 17, "function_scop": [17, 25], "18374": 17, "ssrewrit": 17, "19213": 17, "19229": 17, "refman": 17, "closer": [17, 24, 31, 57, 60, 72], "doc": [17, 24, 25, 51, 53, 63, 71, 74, 76, 77], "18705": 17, "focu": [17, 24, 34, 43, 54, 55, 57, 66, 67], "18707": 17, "18351": 17, "18867": 17, "clarifi": [17, 24], "18880": 17, "fragil": [17, 54, 57, 59, 60, 63, 66], "18895": 17, "19016": 17, "3132": 17, "19069": 17, "17403": 17, "18248": 17, "18299": 17, "marker": [17, 59], "18444": 17, "import_categori": [17, 35, 59], "18536": 17, "18725": 17, "18785": 17, "18983": 17, "with_declar": [17, 35], "19144": 17, "18442": 17, "15020": 17, "18458": 17, "18537": 17, "18298": 17, "18662": 17, "18657": 17, "18852": 17, "12948": 17, "scheme_typ": 17, "19017": 17, "10816": 17, "19201": 17, "sigint": 17, "interrupt": [17, 52, 54, 59], "18716": 17, "dir": [17, 51, 53, 75], "redirect": [17, 51, 59, 75], "17392": 17, "8649": 17, "coqdoc": [17, 24, 53, 75], "18527": 17, "18516": 17, "ui": [17, 51], "icon": [17, 52], "18523": 17, "11024": 17, "kei": [17, 25, 41, 42, 55, 57, 59, 64, 66, 71], "navig": [17, 24, 52, 57, 75], "menu": [17, 24, 52, 66], "alt": [17, 52], "maco": [17, 51, 52], "ctrl": [17, 52], "hid": 17, "cursor": [17, 52, 66], "movement": [17, 58], "home": [17, 51, 52, 53], "ve": [17, 52, 53, 66, 67], "edit": [17, 24, 25, 29, 51, 53, 57, 66, 71], "pgup": 17, "pgdn": 17, "18717": 17, "toggleabl": 17, "shift": [17, 52, 57], "f2": [17, 41, 51, 52, 55, 57], "16141": 17, "drag": [17, 24], "regress": 17, "18524": 17, "3977": 17, "xml": [17, 24], "protocol": [17, 77], "19040": 17, "18682": 17, "tooltip": [17, 52], "19153": 17, "19152": 17, "app_length": 17, "becam": [17, 24], "length_app": 17, "migrat": 17, "xarg": 17, "sed": 17, "rev_length": 17, "length_rev": 17, "map_length": 17, "length_map": 17, "fold_left_length": 17, "fold_left_s_o": 17, "split_length_l": 17, "length_fst_split": 17, "split_length_r": 17, "length_snd_split": 17, "combine_length": 17, "length_combin": 17, "prod_length": 17, "length_prod": 17, "firstn_length": 17, "length_firstn": 17, "skipn_length": 17, "length_skipn": 17, "seq_length": 17, "length_seq": 17, "concat_length": 17, "length_concat": 17, "flat_map_length": 17, "length_flat_map": 17, "list_power_length": 17, "length_list_pow": 17, "18564": 17, "crelationclass": 17, "ifft": 17, "18910": 17, "ndigit": 17, "ndist": 17, "bytevector": 17, "18936": 17, "zbinari": 17, "natpair": 17, "znatpair": 17, "nbinari": [17, 53], "peanonat": [17, 59], "binnat": [17, 59], "binint": [17, 53], "18500": 17, "natint": 17, "nzproperti": 17, "nzmulord": 17, "nzprop": 17, "nzmulorderprop": 17, "18501": 17, "bool_nat": 17, "18538": 17, "nzdomain": 17, "18539": 17, "zdiveucl": 17, "zeuclid": 17, "18544": 17, "niso": 17, "ndefop": 17, "18668": 17, "bvector": 17, "encourag": [17, 46, 53, 54], "18947": 17, "vector": [17, 46, 67], "awar": [17, 51, 52, 55, 58, 59, 62, 66], "bundl": 17, "intent": [17, 24, 28, 57], "18032": 17, "nodup_app": 17, "nodup_iff_forallordpair": 17, "nodup_map_nodup_forallpair": 17, "nodup_concat": 17, "18172": 17, "haani": 17, "in_iff_nth_error": 17, "nth_error_app": 17, "nth_error_cons_0": 17, "nth_error_cons_succ": 17, "nth_error_rev": 17, "nth_error_firstn": 17, "nth_error_skipn": 17, "hd_error_skipn": 17, "nth_error_seq": 17, "18563": 17, "strong_induction_l": 17, "binary_induct": 17, "even_even": 17, "odd_even": [17, 67], "odd_odd": 17, "even_odd": [17, 67], "b2n_le_1": 17, "testbit_odd_succ": 17, "testbit_even_succ": 17, "testbit_div2": 17, "div2_0": 17, "div2_1": 17, "div2_le_mono": 17, "div2_even": 17, "div2_odd": 17, "le_div2_diag_l": 17, "div2_le_upper_bound": 17, "div2_le_lower_bound": 17, "lt_div2_diag_l": 17, "le_div2": 17, "lt_div2": 17, "div2_decr": 17, "land_even_l": 17, "land_even_r": 17, "land_odd_l": 17, "land_odd_r": 17, "land_even_even": 17, "land_odd_even": 17, "land_even_odd": 17, "land_odd_odd": 17, "land_le_l": 17, "land_le_r": 17, "ldiff_even_l": 17, "ldiff_odd_l": 17, "ldiff_even_r": 17, "ldiff_odd_r": 17, "ldiff_even_even": 17, "ldiff_odd_even": 17, "ldiff_even_odd": 17, "ldiff_odd_odd": 17, "ldiff_le_l": 17, "shiftl_lower_bound": 17, "shiftr_upper_bound": 17, "ones_0": 17, "ones_succ": 17, "pow_lower_bound": 17, "18628": 17, "18818": 17, "18770": 17, "18359": 17, "jesu": 17, "vio": 17, "vio2vo": 17, "18424": 17, "4007": 17, "4013": 17, "4123": 17, "5308": 17, "5223": 17, "6720": 17, "8402": 17, "9637": 17, "11471": 17, "18380": 17, "17808": 17, "memprof": 17, "recompil": [17, 51, 52, 53, 59, 64], "18906": 17, "17760": 17, "stack": [17, 25, 41, 54, 55, 57, 59, 71], "action": [17, 24, 52, 53, 57, 60], "18771": 17, "exposit": 17, "18270": 17, "18212": 17, "wrongli": [17, 46], "17321": 17, "16288": 17, "wrapper": [17, 53, 67, 71, 72], "19671": 17, "19661": 17, "syntax_modifi": [17, 71], "19653": 17, "19541": 17, "19673": 17, "19658": 17, "19675": 17, "19668": 17, "period": [17, 24, 29, 52, 54, 60, 66, 74], "temporarili": [17, 53, 57, 59, 66, 71], "cpu": [17, 59], "linux": [17, 35, 51, 52, 53, 59, 64], "thierri": [17, 24, 34, 77], "martinez": 17, "awai": [17, 54], "gitlab": 17, "runner": 17, "jaim": 17, "yve": [17, 24, 72], "bertot": [17, 24, 72], "ana": 17, "borg": 17, "tej": [17, 58], "chaje": [17, 58], "corbineau": [17, 24], "courtieu": [17, 24], "kenji": 17, "maillard": 17, "semeria": 17, "arnaud": 17, "spiwack": 17, "trunov": 17, "quarkcool": 17, "khalid": 17, "abdullah": 17, "tanaka": 17, "akira": 17, "isaac": 17, "bakel": 17, "jouvelot": 17, "robbert": 17, "krebber": 17, "l\u00e9chenet": 17, "sotaro": 17, "okada": 17, "portegi": 17, "swasei": 17, "shengyi": 17, "wang": 17, "285": 17, "70": [17, 27, 36, 42, 57, 71, 72], "nant": 17, "januari": [17, 24, 77], "17836": 17, "18331": 17, "18507": 17, "18503": 17, "term_forall_or_fun": [17, 28, 29], "term_let": [17, 29, 32, 38], "term_fix": [17, 29, 34, 54], "term_cofix": [17, 29, 30, 54], "term_if": [17, 29, 46], "200": [17, 52, 71], "term10": [17, 29, 32], "camlp5": [17, 71], "coqpp": 17, "18014": 17, "18254": 17, "disjunct": [17, 25, 34, 57, 58, 59, 60, 67, 71], "17857": 17, "18005": 17, "17854": 17, "18004": 17, "18176": 17, "18163": 17, "18393": 17, "12755": 17, "18392": 17, "intepret": 17, "18104": 17, "address": [17, 52], "18096": 17, "t_scope": [17, 71], "6134": 17, "14959": 17, "ba": 17, "spitter": 17, "14928": 17, "11486": 17, "12157": 17, "14305": 17, "deep": [17, 24, 57, 67], "token": [17, 29, 42, 51, 52, 53, 54, 55, 58, 59, 66, 71, 75], "17123": 17, "17856": 17, "17845": 17, "17988": 17, "17985": 17, "17115": 17, "17094": 17, "invalid": [17, 24, 40, 52, 54, 59, 64, 66, 71], "17841": 17, "15221": 17, "17844": 17, "15322": 17, "17861": 17, "17860": 17, "17891": 17, "17782": 17, "17892": 17, "17071": 17, "17902": 17, "11237": 17, "18230": 17, "18223": 17, "17704": 17, "17745": 17, "17789": 17, "6714": 17, "17832": 17, "17964": 17, "17959": 17, "cleanup": 17, "17984": 17, "17991": 17, "std": [17, 55], "resolve_tc": 17, "13071": 17, "17503": 17, "18190": 17, "evarconv": 17, "17788": 17, "17774": 17, "17887": 17, "17417": 17, "necess": 17, "overli": 17, "sensit": [17, 24, 29, 59], "17935": 17, "recip": [17, 53], "recaptur": 17, "robust": [17, 51, 57, 60, 66, 75], "albeit": 17, "slower": [17, 51, 60, 62], "17936": 17, "17993": 17, "12521": 17, "3488": 17, "f_equal": [17, 27], "18106": 17, "5481": 17, "9979": 17, "18152": 17, "18151": 17, "tail": [17, 24, 46, 54, 55, 57, 60, 71], "18159": 17, "18158": 17, "18195": 17, "18194": 17, "18243": 17, "18239": 17, "coqtop": [17, 24, 51, 52, 53, 66], "debugg": [17, 24, 25], "18068": 17, "18067": 17, "empty_context": 17, "thunk": [17, 55], "17534": 17, "eexact": [17, 43, 58], "18157": 17, "12827": 17, "fold_left": 17, "fold_right": 17, "18197": 17, "16485": 17, "red_flag": 17, "rstrength": 17, "18273": 17, "18209": 17, "quotat": [17, 24, 25, 66, 75], "eq_pattern": 17, "17667": 17, "transparentst": 17, "17777": 17, "is_float": 17, "is_uint63": 17, "is_arrai": 17, "17894": 17, "ref": [17, 59], "redflag": 17, "18095": 17, "10112": 17, "18102": 17, "investig": [17, 24, 77], "18139": 17, "frame": [17, 52], "18293": 17, "ikfprintf": 17, "18311": 17, "18292": 17, "18082": 17, "17576": 17, "17795": 17, "17801": 17, "17796": 17, "17805": 17, "16126": 17, "9148": 17, "17702": 17, "took": [17, 24], "17744": 17, "18193": 17, "8032": 17, "17987": 17, "17963": 17, "18008": 17, "18006": 17, "17946": 17, "10156": 17, "glob": [17, 24, 51, 75], "gnu": [17, 51, 53], "18077": 17, "18076": 17, "18165": 17, "inadvert": [17, 52], "18448": 17, "18434": 17, "reimplement": 17, "nsatz": [17, 25, 61], "cring": 17, "18325": 17, "cyclic": [17, 64], "zmodulo": 17, "retain": 17, "cyclicaxiom": 17, "17258": 17, "zdigit": 17, "favor": [17, 41, 51], "testbit": [17, 59], "18025": 17, "gt": [17, 27, 42], "min": [17, 24, 59], "arith_prebas": 17, "18164": 17, "disus": 17, "volunt": 17, "17732": 17, "byte": [17, 24, 25, 51, 59, 66, 71], "18022": 17, "naryfunct": 17, "continut": 17, "18026": 17, "cardinal_add_in": 17, "add_transpose_neqkei": 17, "unequ": 17, "12096": 17, "app_eq_con": 17, "app_inj_pivot": 17, "rev_inj": 17, "17787": 17, "unfold_nth_error": 17, "nth_error_nil": 17, "nth_error_con": 17, "nth_error_o": 17, "nth_error_": 17, "17998": 17, "antisymmetr": 17, "asymmetr": [17, 46], "rle": 17, "rge": 17, "rlt": 17, "rgt": 17, "18059": 17, "17889": 17, "17817": 17, "18596": 17, "18630": 17, "18594": 17, "corrupt": [17, 24], "18599": 17, "18670": 17, "18640": 17, "18636": 17, "18560": 17, "18556": 17, "fmap": [17, 60], "18649": 17, "18635": 17, "conf": [17, 53], "libc": 17, "dev": [17, 24, 51, 53, 71], "python": [17, 53], "18565": 17, "comit": 17, "symlink": 17, "git": [17, 53], "setup": [17, 25], "18550": 17, "18548": 17, "19088": 17, "19082": 17, "18089": 17, "18914": 17, "18945": 17, "18942": 17, "19096": 17, "772": 17, "18772": 17, "18769": 17, "18741": 17, "multibyt": 17, "utf": [17, 52, 75], "19137": 17, "19136": 17, "18863": 17, "commit": [17, 53, 54, 55], "pick": [17, 42, 51, 52, 53, 57, 58, 66, 67], "fine": [17, 41, 51, 52, 57, 64], "particularli": [17, 25, 42, 51, 53, 64, 71], "teach": 17, "analysi": [17, 24, 25, 30, 34, 37, 40, 46, 57, 58, 72, 77], "41": [17, 51, 53, 57], "reynald": 17, "affeldt": 17, "bati": 17, "kate": 17, "deplaix": 17, "paolo": 17, "giarrusso": 17, "gruetter": 17, "yoshihiro": 17, "imai": 17, "meven": 17, "lennon": 17, "bertrand": 17, "radziuk": 17, "julin": 17, "shaji": 17, "weng": 17, "shiwei": 17, "hao": 17, "yang": 17, "grate": 17, "sophia": [17, 24], "antipoli": [17, 24], "2023": 17, "17172": 17, "17452": 17, "9608": 17, "native_comput": [17, 25, 32, 36, 51, 58], "17872": 17, "17871": 17, "16903": 17, "overhead": [17, 53, 64], "17008": 17, "volatil": [17, 32, 41, 46], "hidden": [17, 24, 25, 27, 53, 57, 71, 75], "16992": 17, "16918": 17, "uninterpret": [17, 62], "some_term": 17, "17221": 17, "substructur": [17, 25], "17754": 17, "17451": 17, "hook": [17, 53], "metalanguag": 17, "elpi": [17, 57, 63], "17794": 17, "17206": 17, "17079": 17, "17305": 17, "17303": 17, "16788": 17, "16785": 17, "17117": 17, "17484": 17, "formerli": 17, "16937": 17, "12467": 17, "17050": 17, "17217": 17, "14975": 17, "17318": 17, "17316": 17, "17478": 17, "fring": 17, "17322": 17, "17352": 17, "\u03b2\u03b9": [17, 41, 57, 64], "17541": 17, "eqdep_dec": [17, 67], "17670": 17, "uncondition": 17, "17564": 17, "16910": 17, "hresolve_cor": 17, "hget_evar": 17, "17035": 17, "elimtyp": 17, "casetyp": 17, "16904": 17, "revert": [17, 52, 57, 58, 59], "misleadingli": 17, "17669": 17, "13448": 17, "13428": 17, "indirect": [17, 64], "16960": 17, "17304": 17, "17295": 17, "field_simplifi": 17, "17591": 17, "8905": 17, "4721": 17, "5351": 17, "16859": 17, "13976": 17, "17347": 17, "16409": 17, "antiquot": [17, 25], "17359": 17, "13977": 17, "start_profil": 17, "stop_profil": 17, "show_profil": 17, "17371": 17, "10111": 17, "17468": 17, "17475": 17, "ltac2val": [17, 55], "oppos": [17, 57], "17575": 17, "17232": 17, "15864": 17, "17508": 17, "17491": 17, "multi_match": 17, "multi_match0": 17, "multi_goal_match0": 17, "match_failur": [17, 57], "not_found": [17, 24], "17597": 17, "17594": 17, "16258": 17, "plural": [17, 28, 38], "16989": 17, "17274": 17, "17489": 17, "16287": 17, "17585": 17, "17718": 17, "unknown": [17, 29, 42, 43, 58, 60, 66, 71], "17747": 17, "16909": 17, "16911": 17, "parametr": [17, 24, 25, 34, 40, 64], "17042": 17, "counterproduct": 17, "17114": 17, "17108": 17, "workspac": 17, "17394": 17, "17333": 17, "subsum": [17, 57], "inherit": [17, 24, 25, 42, 52, 55], "17716": 17, "17544": 17, "16796": 17, "16817": 17, "16890": 17, "12266": 17, "16902": 17, "15893": 17, "16994": 17, "17430": 17, "17467": 17, "17285": 17, "13927": 17, "rectyp": 17, "re": [17, 24, 29, 32, 38, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66], "camlflag": [17, 53], "coqmakefil": [17, 25, 52], "17038": 17, "17045": 17, "13155": 17, "t_ind": [17, 35, 71], "17118": 17, "lib": [17, 24, 51, 53, 55, 59, 75], "vernac": [17, 24, 51, 53, 71, 75], "vernacular": [17, 24, 35, 38, 59, 63, 75], "17364": 17, "coqtimelog2html": 17, "render": [17, 24, 75], "17411": 17, "surpass": 17, "17697": 17, "17721": 17, "send": 17, "column": [17, 46, 53, 57], "decod": 17, "client": 17, "17382": 17, "17023": 17, "nth": [17, 58], "16731": 17, "16738": 17, "nodup": 17, "set_diff_nodup": 17, "listset": 17, "16926": 17, "traian": 17, "florin": 17, "\u015ferb\u0103nu\u0163\u0103": 17, "decidableclass": 17, "17021": 17, "17281": 17, "xorb": [17, 27, 59, 62], "simpler": [17, 24, 57, 58, 62, 64], "17427": 17, "rineq": 17, "completeness_weak": 17, "upper_bound_thm": 17, "le_epsilon": 17, "rle_epsilon": 17, "rplus_eq_r0": 17, "rplus_eq_0": 17, "req_em_t": 17, "req_dec_t": 17, "rinv_r_simpl_m": 17, "rmult_inv_r_id_m": 17, "rinv_r_simpl_l": 17, "rmult_inv_r_id_l": 17, "rinv_r_simpl_r": 17, "rmult_inv_m_id_r": 17, "tech_rgt_minu": 17, "rgt_minus_po": 17, "tech_rplu": 17, "rplus_le_lt_0_neq_0": 17, "izr_pos_xi": 17, "izr_pos_xo": 17, "rge_refl": 17, "17036": 17, "prod_curri": 17, "prod_uncurri": 17, "prodt_curri": 17, "prodt_uncurri": 17, "prod_curry_uncurri": 17, "prod_uncurry_curri": 17, "leb_implb": 17, "skipn_non": 17, "zdiv": 17, "z_div_mod_eq": 17, "div_zdiv": 17, "mod_zmod": 17, "floatop": [17, 36], "frexp": 17, "ldexp": 17, "floatlemma": 17, "frexp_spec": 17, "ldexp_spec": 17, "rlist": 17, "rlength": 17, "rtrigo_calc": 17, "cos3pi4": 17, "sin3pi4": 17, "msetrbt": 17, "filter_app": 17, "16920": 17, "app_nil_end": 17, "app_assoc_revers": 17, "ass_app": 17, "app_ass": 17, "forall2_refl": 17, "forall2_nil": 17, "17646": 17, "functin": 17, "17733": 17, "int31": 17, "cyclic31": 17, "nnumber": 17, "ring31": 17, "int63": [17, 71], "17734": 17, "inser_trans_r": 17, "izr_neq": 17, "double_var": 17, "rinv_mult_simpl": 17, "rle_rinv": 17, "rlt_rminu": 17, "rminus_eq_0": 17, "rminus_gt_0_lt": 17, "ropp_div": 17, "ropp_minus_distr": 17, "rplus_sqr_eq_0_l": 17, "sum_inequa_rle_lt_depr": 17, "s_o_plus_inr_depr": 17, "single_z_r_r1_depr": 17, "tech_single_z_r_r1_depr": 17, "l_inj": 17, "r_inj": 17, "l_r_neq": 17, "case_l_r": 17, "fin": [17, 71], "nil_spec": 17, "nth_append_l": 17, "nth_append_r": 17, "in_nth": 17, "nth_replace_eq": 17, "nth_replace_neq": 17, "replace_append_l": 17, "replace_append_r": 17, "append_const": 17, "map_append": 17, "map2_ext": 17, "append_inj": 17, "in_cons_iff": 17, "forall_cons_iff": 17, "forall_map": 17, "forall_append": 17, "forall_nth": 17, "forall2_nth": 17, "forall2_append": 17, "map_shiftin": 17, "fold_right_shiftin": 17, "in_shiftin": 17, "forall_shiftin": 17, "rev_nil": 17, "rev_con": 17, "rev_shiftin": 17, "rev_rev": 17, "map_rev": 17, "fold_left_rev_right": 17, "in_rev": 17, "forall_rev": 17, "vectorspec": 17, "16765": 17, "6459": 17, "iter_swap_gen": 17, "iter_swap": 17, "iter_succ": 17, "iter_succ_r": 17, "iter_add": 17, "iter_ind": 17, "iter_rect": 17, "iter_invari": 17, "17013": 17, "zbitwis": 17, "relationship": [17, 29], "bitwis": [17, 59], "arithmet": [17, 24, 25, 36, 44, 57, 60, 61, 71], "17022": 17, "forallb_filt": 17, "forallb_filter_id": 17, "partition_as_filt": 17, "filter_length": 17, "filter_length_l": 17, "filter_length_forallb": 17, "17027": 17, "eq_izr_contraposit": 17, "inr_0": 17, "inr_1": 17, "inr_archim": 17, "inr_unbound": 17, "ipr_2_xh": 17, "ipr_2_xi": 17, "ipr_2_xo": 17, "ipr_eq": 17, "ipr_ge_1": 17, "ipr_gt_0": 17, "ipr_ipr_2": 17, "ipr_l": 17, "ipr_lt": 17, "ipr_not_1": 17, "ipr_xh": 17, "ipr_xi": 17, "ipr_xo": 17, "le_ipr": 17, "lt_1_ipr": 17, "lt_ipr": 17, "minus_ipr": 17, "mult_ipr": 17, "not_1_ipr": 17, "not_ipr": 17, "plus_ipr": 17, "pow_ipr": 17, "rdiv_0_l": 17, "rdiv_0_r": 17, "rdiv_1_l": 17, "rdiv_1_r": 17, "rdiv_def": 17, "rdiv_diag_eq": 17, "rdiv_diag": 17, "rdiv_diag_uniq": 17, "rdiv_eq_compat_l": 17, "rdiv_eq_compat_r": 17, "rdiv_eq_reg_l": 17, "rdiv_eq_reg_r": 17, "rdiv_mult_distr": 17, "rdiv_mult_l_l": 17, "rdiv_mult_l_r": 17, "rdiv_mult_r_l": 17, "rdiv_mult_r_r": 17, "rdiv_neg_neg": 17, "rdiv_neg_po": 17, "rdiv_opp_l": 17, "rdiv_pos_cas": 17, "rdiv_pos_neg": 17, "rdiv_pos_po": 17, "rexists_between": 17, "rge_gt_or_eq_dec": 17, "rge_gt_or_eq": 17, "rge_lt_dec": 17, "rgt_le_dec": 17, "rgt_or_l": 17, "rgt_or_not_gt": 17, "rinv_0_lt_contravar": 17, "rinv_eq_compat": 17, "rinv_eq_reg": 17, "rinv_lt_0_contravar": 17, "rinv_neg": 17, "rinv_po": 17, "rle_gt_dec": 17, "rle_half_plu": 17, "rle_lt_or_eq": 17, "rle_or_gt": 17, "rle_or_not_l": 17, "rlt_0_2": 17, "rlt_0_minu": 17, "rlt_ge_dec": 17, "rlt_half_plu": 17, "rlt_minus_0": 17, "rlt_or_g": 17, "rlt_or_not_lt": 17, "rminus_def": 17, "rminus_diag": 17, "rminus_eq_compat_l": 17, "rminus_eq_compat_r": 17, "rminus_plus_distr": 17, "rminus_plus_l_l": 17, "rminus_plus_l_r": 17, "rminus_plus_r_l": 17, "rminus_plus_r_r": 17, "rmult_div_assoc": 17, "rmult_div_l": 17, "rmult_div_r": 17, "rmult_div_swap": 17, "rmult_gt_reg_r": 17, "rmult_inv_l": 17, "rmult_inv_r": 17, "rmult_inv_r_uniq": 17, "rmult_neg_cas": 17, "rmult_neg_neg": 17, "rmult_neg_po": 17, "rmult_pos_cas": 17, "rmult_pos_neg": 17, "rmult_pos_po": 17, "ropp_div_distr_l": 17, "ropp_eq_reg": 17, "ropp_neg": 17, "ropp_po": 17, "rplus_0_l_uniq": 17, "rplus_ge_reg_r": 17, "rplus_gt_reg_r": 17, "rplus_minus_assoc": 17, "rplus_minus_l": 17, "rplus_minus_r": 17, "rplus_minus_swap": 17, "rplus_neg_lt": 17, "rplus_neg_neg": 17, "rplus_neg_npo": 17, "rplus_nneg_g": 17, "rplus_nneg_nneg": 17, "rplus_nneg_po": 17, "rplus_npos_l": 17, "rplus_npos_neg": 17, "rplus_npos_npo": 17, "rplus_pos_gt": 17, "rplus_pos_nneg": 17, "rplus_pos_po": 17, "rsqr_def": 17, "r_ifp": 17, "int_part_spec": 17, "rplus_int_part_frac_part": 17, "int_part_frac_part_spec": 17, "flat_map_constant_length": 17, "17082": 17, "sphinx": 17, "esc": 17, "17772": 17, "15778": 17, "17344": 17, "10739": 17, "enviro": [17, 59], "experi": [17, 24, 51, 77], "slowdown": 17, "50": [17, 27, 41, 42, 44, 53, 57, 59, 71, 77], "readi": [17, 51, 57, 60], "hu\u1ef3nh": 17, "tr\u1ea7n": 17, "khanh": 17, "www": [17, 24, 25, 27, 50, 75, 77], "platform": [17, 24, 36, 53, 54, 72], "45": [17, 77], "stephan": 17, "boyer": [17, 24], "franti\u0161ek": 17, "farka": 17, "alban": 17, "gruin": 17, "wolf": 17, "bodo": 17, "igler": 17, "jerri": 17, "jame": 17, "wojciech": 17, "karpiel": 17, "thoma": 17, "klausner": 17, "sudha": 17, "parimala": 17, "valentin": 17, "robert": [17, 77], "dmitri": 17, "shachnev": 17, "naveen": 17, "srinivasan": 17, "sergei": 17, "stepanenko": 17, "karolina": 17, "surma": 17, "414": 17, "105": 17, "februari": [17, 24], "vulner": 17, "repeatedli": [17, 31, 57, 71], "16958": 17, "16957": 17, "unexpect": [17, 24, 44, 53, 55, 71, 73], "inaccess": 17, "17116": 17, "17073": 17, "16135": 17, "lost": [17, 30, 44, 57, 67], "17138": 17, "17137": 17, "17174": 17, "17173": 17, "contigu": [17, 29], "letter": [17, 24, 26, 27, 29, 37, 46, 51, 55, 71, 75], "middl": [17, 29, 54, 57, 71, 75], "16322": 17, "4712": 17, "12324": 17, "16945": 17, "lionel": 17, "rieg": 17, "16472": 17, "add_top": [17, 71], "add_bottom": [17, 71], "consolid": 17, "descript": [17, 24, 25, 27, 29, 31, 38, 40, 42, 46, 51, 53, 55, 57, 66, 67], "assur": [17, 53], "autom": [17, 24, 25, 43, 54, 59, 61, 64, 66, 67, 77], "15015": 17, "16498": 17, "16659": 17, "16289": 17, "5163": 17, "16282": 17, "eager": 17, "cost": [17, 51, 55, 60], "prior": [17, 51, 54], "discrep": [17, 57], "16293": 17, "16062": 17, "16323": 17, "tac1": 17, "tac2": 17, "absurd_hyp": 17, "year": [17, 24], "ago": 17, "contradict": [17, 34, 54, 57, 60, 67], "16670": 17, "progress_evar": 17, "16843": 17, "intuition_solv": [17, 62], "star": [17, 60, 62], "forward": [17, 24, 52, 53, 57, 62, 66], "16026": 17, "16407": 17, "16302": 17, "15814": 17, "6332": 17, "16605": 17, "16743": 17, "5239": 17, "16106": 17, "hyp": [17, 24, 55, 57, 59, 66, 71], "typ": [17, 24], "16764": 17, "boolnot": 17, "16536": 17, "in_context": 17, "16547": 17, "16540": 17, "matches_go": 17, "lazy_goal_match0": 17, "one_goal_match0": 17, "16655": 17, "16023": 17, "16179": 17, "to_str": [17, 55], "concat": [17, 46, 55], "cat": [17, 74], "is_empti": 17, "16217": 17, "liftn": 17, "16413": 17, "closedn": 17, "is_clos": 17, "16414": 17, "16429": 17, "16466": 17, "16418": 17, "16415": 17, "for_all2": 17, "16535": 17, "meta": [17, 24, 25, 39, 53, 59], "16537": 17, "16538": 17, "16552": 17, "10117": 17, "pun": [17, 55], "16556": 17, "12803": 17, "16740": 17, "math": [17, 75, 77], "comp": [17, 53], "872": 17, "874": 17, "olift": 17, "pred_oapp": 17, "all_sig2_cond": 17, "compa": 17, "obindeapp": 17, "omapebind": 17, "omapeapp": 17, "omap_comp": 17, "oapp_comp": 17, "olift_comp": 17, "ocan_comp": 17, "eqblr": 17, "eqbrl": 17, "can_in_pcan": 17, "pcan_in_inj": 17, "in_inj_comp": 17, "can_in_comp": 17, "pcan_in_comp": 17, "ocan_in_comp": 17, "16158": 17, "firstord": [17, 29, 62], "parti": [17, 51, 52, 53, 75], "15274": 17, "15072": 17, "16004": 17, "13394": 17, "16340": 17, "16690": 17, "16686": 17, "spawn": [17, 54], "16837": 17, "16519": 17, "untouch": [17, 41], "16842": 17, "16230": 17, "16224": 17, "16168": 17, "16438": 17, "16375": 17, "nontermin": [17, 29, 54, 55, 71], "adhoc": [17, 37], "16440": 17, "16395": 17, "14141": 17, "16931": 17, "16929": 17, "16981": 17, "16602": 17, "17069": 17, "12575": 17, "unsupport": [17, 29, 35, 38, 52, 59], "17113": 17, "17110": 17, "cover": [17, 44, 54, 57, 65], "_coqproject": [17, 25, 51, 52], "15888": 17, "16308": 17, "raci": 17, "16757": 17, "omiss": 17, "17090": 17, "15933": 17, "operand": [17, 64], "16355": 17, "behalf": 17, "bedrock": 17, "inc": 17, "rememb": [17, 52, 57, 58, 75], "r_dist": 17, "spell": 17, "rdist": 17, "16874": 17, "superflu": [17, 24], "rs_r": 17, "_r": [17, 41], "a_right": 17, "ls_l": 17, "_l": [17, 34], "lbase": 17, "a_left": 17, "redund": [17, 24, 43, 46, 57], "gcd_uniqu": 17, "gcd_unique_alt": 17, "divide_gcd_iff": 17, "gcd_mul_diag_l": 17, "16203": 17, "jmeq": [17, 67], "16436": 17, "finite_alt": 17, "finfun": 17, "newli": [17, 60, 67], "finite_dec": 17, "16489": 17, "16479": 17, "zmod": 17, "zdiv_eucl_po": 17, "zmod_pos_bound": 17, "zmod_neg_bound": 17, "16892": 17, "nz": 17, "16914": 17, "permutation_incl_cons_inv_r": 17, "permutation_pigeonhol": 17, "permutation_pigeonhole_rel": 17, "forall2_cons_iff": 17, "forall2_length": 17, "forall2_impl": 17, "forall2_flip": 17, "forall_exists_exists_forall2": 17, "15986": 17, "dominiqu": 17, "larchei": 17, "wendl": 17, "div0": [17, 59], "lcm0": 17, "16186": 17, "measure_induct": 17, "induction_ltof1": 17, "lemmata": 17, "listing_decidable_eq": 17, "nodup_list_decid": 17, "listdec": 17, "not_nodup": 17, "nodup_app_remove_l": 17, "nodup_app_remove_r": 17, "16588": 17, "skipn_skipn": 17, "16632": 17, "nth_error_ext": 17, "map_repeat": 17, "rev_repeat": 17, "to_list_nil_iff": 17, "to_list_inj": 17, "16756": 17, "extgcd": 17, "euclid_rec": 17, "euclid_intro": 17, "znumtheori": 17, "16915": 17, "15560": 17, "16007": 17, "16118": 17, "diff": [17, 24, 25, 51, 53, 54], "absolut": [17, 24, 35, 51, 53, 55, 71], "strip": [17, 58], "16268": 17, "ondemand": [17, 51], "16997": 17, "got": [17, 34, 67], "16512": 17, "nomacintegr": 17, "16531": 17, "15494": 17, "16925": 17, "16947": 17, "16959": 17, "16988": 17, "16991": 17, "16996": 17, "16999": 17, "17010": 17, "17015": 17, "offici": [17, 54], "15867": 17, "alphabet": [17, 60], "16725": 17, "varieti": [17, 24], "17270": 17, "16571": 17, "17324": 17, "12813": 17, "14843": 17, "16677": 17, "redo": [17, 57, 67], "byextend": 17, "17495": 17, "17488": 17, "mathcomp": [17, 57], "17743": 17, "strong": [17, 24, 27, 31, 34, 64, 67, 77], "fullfil": 17, "reorgan": 17, "57": 17, "bodin": 17, "minki": 17, "cho": 17, "juan": 17, "conejero": 17, "cran": 17, "adrian": 17, "dapprich": 17, "st\u00e9phane": 17, "desarzen": 17, "christian": 17, "doczkal": 17, "attila": 17, "g\u00e1sp\u00e1r": 17, "jasper": 17, "hugunin": 17, "bart": 17, "jacob": 17, "jurgensen": 17, "ethan": 17, "kuefner": 17, "fabian": 17, "kunz": 17, "francoi": 17, "monin": [17, 24], "peterson": 17, "seth": 17, "poulsen": 17, "takafumi": 17, "saikawa": 17, "gabriel": 17, "scherer": 17, "kartik": 17, "singhal": 17, "356": 17, "99": [17, 27, 71], "june": [17, 24], "2022": 17, "artifici": [17, 24, 67, 71], "obstacl": [17, 42], "restor": [17, 29, 54, 57, 66], "physic": [17, 24, 35, 51, 53, 59, 75], "decad": 17, "specialist": 17, "truth": [17, 54, 57], "15434": 17, "incident": 17, "5702": 17, "15668": 17, "15621": 17, "15965": 17, "inlin": [17, 24, 25, 28, 35, 64, 66, 72, 75], "15412": 17, "15403": 17, "cheap": 17, "15575": 17, "14015": 17, "blowup": 17, "noncumul": [17, 25, 29], "15662": 17, "11741": 17, "14563": 17, "15693": 17, "freedom": 17, "15789": 17, "2828": 17, "4593": 17, "3115": 17, "5222": 17, "9696": 17, "8540": 17, "princip": [17, 24, 34, 57, 72, 77], "15581": 17, "13157": 17, "arg": [17, 24, 28, 37, 44, 51, 53, 55, 57, 60, 67], "15754": 17, "15291": 17, "7911": 17, "15884": 17, "15843": 17, "13969": 17, "7916": 17, "14138": 17, "13618": 17, "15215": 17, "15214": 17, "15426": 17, "3051": 17, "15448": 17, "closur": [17, 24, 31, 54, 55, 62, 66], "15728": 17, "10970": 17, "15277": 17, "14137": 17, "4632": 17, "5384": 17, "5521": 17, "6278": 17, "7675": 17, "8739": 17, "11011": 17, "12240": 17, "15279": 17, "aka": [17, 72], "15921": 17, "15289": 17, "5304": 17, "nomatch": [17, 41], "15657": 17, "3989": 17, "15206": 17, "15559": 17, "15554": 17, "toplevel_selector": [17, 29, 54, 58], "obei": [17, 24, 37], "buggi": [17, 25, 33], "15378": 17, "asr": 17, "lsl": 17, "lsr": 17, "lor": [17, 59], "lxor": [17, 59], "lnot": [17, 75], "15637": 17, "eappli": [17, 54, 58, 60, 66, 67, 71], "15741": 17, "suff": [17, 25], "wlog": [17, 25], "15355": 17, "15366": 17, "15424": 17, "15410": 17, "subproof": [17, 34, 66, 67], "autogener": 17, "15442": 17, "15268": 17, "15669": 17, "simplex": 17, "15690": 17, "workflow": 17, "15652": 17, "wild": [17, 57], "15752": 17, "15526": 17, "15527": 17, "15650": 17, "15600": 17, "15683": 17, "14907": 17, "4436": 17, "7730": 17, "15760": 17, "15802": 17, "15853": 17, "filtered_import": [17, 35, 59], "15945": 17, "14872": 17, "15347": 17, "3556": 17, "coqplugininstal": [17, 53], "15788": 17, "15886": 17, "15511": 17, "15497": 17, "16070": 17, "signaturet": 17, "15446": 17, "permutation_app": 17, "permutation_con": 17, "15597": 17, "15596": 17, "npeano": 17, "arith_bas": [17, 59], "pariti": 17, "even_alt": 17, "odd_alt": 17, "even_odd_ind": 17, "odd_even_ind": 17, "even_alt_even": 17, "odd_alt_odd": 17, "peano": [17, 24, 27, 34, 57, 60, 71], "phase": [17, 24, 52, 54, 55, 57, 64, 72], "discourag": [17, 29, 32, 35, 53, 54, 55, 58, 59, 60, 66], "14736": 17, "15411": 17, "logic_typ": 17, "nott": [17, 27], "15256": 17, "p_rmin": 17, "rmin_cas": 17, "15388": 17, "15382": 17, "count_occ_rev": 17, "15397": 17, "oddt": 17, "event_oddt_dec": 17, "event_oddt_rect": 17, "oddt_event_rect": 17, "15427": 17, "sin": 17, "15599": 17, "geb_g": 17, "gtb_gt": 17, "15620": 17, "rinv_inv": 17, "rinv_mult": 17, "rinv_opp": 17, "rinv_div": 17, "rdiv_opp_r": 17, "rsqr_div": 17, "rsqr_inv": 17, "sqrt_inv": 17, "rabs_inv": 17, "pow_inv": 17, "powerrz_inv": 17, "powerrz_neg": 17, "powerrz_mult": 17, "cv_infty_cv_0": 17, "15644": 17, "15719": 17, "le_add_l": 17, "naddord": 17, "le_plus_r": 17, "16184": 17, "lablgtk3": 17, "15947": 17, "consequ": [17, 24, 26, 29, 34, 38, 39, 42, 43, 44, 46, 52, 57, 60], "aac": 17, "15220": 17, "7698": 17, "minimum": 17, "15483": 17, "16005": 17, "16030": 17, "15496": 17, "09": 17, "ocamlfind": [17, 53, 59], "16046": 17, "14260": 17, "16015": 17, "extrocamlint63": [17, 36], "sint63": [17, 36], "15294": 17, "15280": 17, "pervas": 17, "15333": 17, "nicolo": 17, "07": [17, 77], "15967": 17, "15098": 17, "hexadecim": [17, 29, 36, 52, 59], "conflict": [17, 24, 25, 46, 54, 55, 71], "13460": 17, "7017": 17, "13288": 17, "16651": 17, "16645": 17, "16768": 17, "16752": 17, "16845": 17, "16831": 17, "16850": 17, "16829": 17, "buys": 17, "16434": 17, "16411": 17, "won": [17, 25, 38, 52, 53, 54, 55, 58, 62, 64, 67, 71, 73], "16142": [17, 52], "13550": 17, "net": 17, "visual": [17, 51, 52, 54, 66, 71], "zimmerman": [17, 24], "coqdev": 17, "384": 17, "143": [17, 53], "functori": 17, "15385": 17, "9555": 17, "wait": [17, 55, 66], "14705": 17, "14573": 17, "11099": 17, "control_command": [17, 29, 59], "sentenc": [17, 24, 29, 36, 52, 54, 55, 57, 59, 75], "14750": 17, "14606": 17, "4167": 17, "14668": 17, "3527": 17, "role": [17, 26, 33, 42, 55, 71, 75], "14967": 17, "14938": 17, "14672": 17, "14819": 17, "14525": 17, "15340": 17, "15335": 17, "14379": 17, "11402": 17, "14493": 17, "12777": 17, "14486": 17, "14713": 17, "14708": 17, "15338": 17, "15334": 17, "13837": 17, "13759": 17, "circumv": 17, "observ": [17, 34, 37, 40, 54, 55, 59, 66, 71], "14679": 17, "14874": 17, "recognit": [17, 75], "14722": 17, "undiscrimin": [17, 60], "14848": 17, "14989": 17, "6109": 17, "uconstr": [17, 54, 71], "15171": 17, "15204": 17, "4555": 17, "7674": 17, "14527": 17, "capit": [17, 29, 74], "15193": 17, "15194": 17, "15314": 17, "15300": 17, "po": [17, 24, 59, 71], "nsucc_doubl": 17, "ndoubl": 17, "succ_doubl": 17, "succ_po": 17, "to_po": 17, "10998": 17, "13952": 17, "13942": 17, "14125": 17, "14439": 17, "14657": 17, "13778": 17, "5394": 17, "13189": 17, "14673": 17, "4415": 17, "14693": 17, "13859": 17, "14650": 17, "14651": 17, "14662": 17, "14683": 17, "5548": 17, "14732": 17, "14731": 17, "14758": 17, "14734": 17, "6976": 17, "14984": 17, "11689": 17, "14986": 17, "5369": 17, "15245": 17, "15244": 17, "15250": 17, "15122": 17, "14314": 17, "5706": 17, "ssrsearch": 17, "ssr": [17, 57, 59, 66], "13760": 17, "757": 17, "negpp": 17, "orpp": 17, "andpp": 17, "implypp": 17, "15059": 17, "14660": 17, "12770": 17, "14687": 17, "14678": 17, "14596": 17, "13830": 17, "14685": 17, "14513": 17, "14802": 17, "14801": 17, "15078": 17, "14529": 17, "notempl": 17, "grab": 17, "outputst": 17, "14940": 17, "usag": [17, 24, 25, 27, 51, 53, 54, 58, 60, 64], "15056": 17, "13296": 17, "15272": 17, "14697": 17, "mangl": [17, 51, 58, 66], "_0": 17, "_foo": 17, "14695": 17, "14548": 17, "14699": 17, "13150": 17, "14892": 17, "15139": 17, "14930": 17, "submodul": [17, 35], "subsect": [17, 24, 34, 42, 75], "14780": 17, "14446": 17, "14901": 17, "14899": 17, "coqlib_path": 17, "coqlib_url": [17, 75], "14059": 17, "unquot": [17, 53, 55], "14558": 17, "unambigu": [17, 32, 44, 53, 59], "preced": [17, 25, 27, 29, 46, 54, 57, 58, 60, 66, 75], "14718": 17, "coqbin": [17, 51, 53], "14787": 17, "14957": 17, "phoni": [17, 53], "opt": [17, 24, 53, 55, 71], "subdirectori": [17, 51, 53, 59, 60], "docroot": [17, 53], "installcoqdocroot": 17, "disambigu": [17, 44, 57, 71], "11631": 17, "14539": 17, "13541": 17, "9319": 17, "14996": 17, "7393": 17, "bracket": [17, 24, 26, 44, 54, 57, 59, 66, 71, 75], "langl": 17, "cjk": [17, 29], "14452": 17, "uninstal": [17, 25], "desktop": 17, "14696": 17, "14310": 17, "breakpoint": [17, 25], "14644": 17, "13967": 17, "14863": 17, "14574": 17, "14571": 17, "epsilon_smallest": 17, "formul": [17, 42], "le_not_lt": 17, "lt_not_l": 17, "14601": 17, "ascii": [17, 52, 53, 71, 75], "14234": 17, "_invol": 17, "_involut": 17, "15085": 17, "incoher": [17, 46], "adjoint": 17, "adjointif": 17, "13408": 17, "slexprod": 17, "relation_oper": 17, "wf_slexprod": 17, "lexicographic_product": 17, "14809": 17, "theri": [17, 24], "sigt": [17, 27, 67, 71], "sigtnot": 17, "14813": 17, "sigt_of_prod": 17, "prod_of_sigt": 17, "sigt_prod_sigt": 17, "prod_sigt_prod": 17, "split_combin": 17, "14458": 17, "artifact": 17, "facilit": [17, 51, 57], "bleed": 17, "edg": [17, 52], "reliabl": 17, "12425": 17, "gone": 17, "caml": [17, 24, 75], "vmbyteflag": 17, "topbin": 17, "toolchain": [17, 51], "nodebug": 17, "flambda": 17, "bindir": [17, 51], "coqdocdir": 17, "camldir": 17, "14189": 17, "etcdir": 17, "docdir": [17, 53], "14844": 17, "14879": 17, "14963": 17, "big_int_z": 17, "extrocamlnatbigint": 17, "extrocamlzbigint": 17, "extrocamlbigintconv": 17, "8252": 17, "extrocamlstr": 17, "extrocamlnativestr": 17, "15075": 17, "15076": 17, "15498": 17, "15451": 17, "15839": 17, "15838": 17, "15628": 17, "15619": 17, "15577": 17, "15568": 17, "15612": 17, "8080": 17, "15634": 17, "15606": 17, "15653": 17, "15567": 17, "vok": [17, 51], "15745": 17, "15532": 17, "15531": 17, "15633": 17, "15578": 17, "busi": 17, "accur": [17, 52, 53, 57, 71], "15714": 17, "15733": 17, "15675": 17, "15725": 17, "15537": 17, "15420": 17, "dintuit": [17, 62, 71], "hardcod": 17, "15866": 17, "7725": 17, "uncaught": [17, 55], "unabletounifi": 17, "bidirection": [17, 25], "16066": 17, "16063": 17, "15938": 17, "15861": 17, "15939": 17, "15882": 17, "15964": 17, "15799": 17, "15984": 17, "15873": 17, "15996": 17, "15912": 17, "15903": 17, "sfclassifi": 17, "16101": 17, "16096": 17, "cleaner": 17, "carri": 17, "coqn": 17, "omega": [17, 24], "greatli": [17, 24], "54": 17, "arthur": 17, "azevedo": 17, "amorim": 17, "simon": [17, 77], "frii": 17, "vindum": 17, "jacqu": 17, "henri": [17, 24], "jourdan": 17, "barri": 17, "trager": 17, "oscar": 17, "gariano": 17, "shenlebantongi": 17, "avi": 17, "shinnar": 17, "slrnsc": 17, "hendrik": 17, "tew": 17, "karolin": 17, "varner": 17, "ziliani": [17, 77], "522": 17, "150": [17, 55], "2021": [17, 77], "compact": [17, 24, 25, 34, 54, 57, 59, 66, 71], "static": [17, 24, 25, 53, 71], "\u03b2": [17, 25, 26, 57], "uncommon": 17, "breakag": 17, "tip": [17, 60], "repr": 17, "md": [17, 71], "13563": 17, "3166": 17, "13853": 17, "13849": 17, "14395": 17, "14317": 17, "14392": 17, "13911": 17, "14041": 17, "14386": 17, "9711": 17, "12975": 17, "14261": 17, "14207": 17, "unduli": 17, "14371": 17, "14374": 17, "13840": 17, "xxx_scope": 17, "yyy_scop": 17, "13965": 17, "13842": 17, "13519": 17, "13484": 17, "13517": 17, "abbr": 17, "my_scop": 17, "ahead": [17, 54], "sequenti": [17, 54, 55, 58, 64], "14070": 17, "14183": 17, "13654": 17, "gave": [17, 24, 58], "fatal": [17, 25, 57], "14257": 17, "14211": 17, "14377": 17, "13966": 17, "13568": 17, "13566": 17, "gfail": [17, 54, 60], "13469": 17, "trail": [17, 25, 57, 74, 75], "13509": 17, "13741": 17, "convert_concl_no_check": 17, "change_no_check": [17, 58, 64], "13761": 17, "13762": 17, "13696": 17, "13781": 17, "14528": 17, "13715": 17, "z_div_mod_eq_ful": 17, "14037": 17, "11447": 17, "14089": 17, "14083": 17, "inversion_sigma": 17, "ex2": [17, 24, 27, 55, 67], "exists2": [17, 27, 29, 57], "14174": 17, "14408": 17, "collis": [17, 24, 51], "13512": 17, "13413": 17, "13699": 17, "13579": 17, "invis": [17, 57], "erron": 17, "13882": 17, "12011": 17, "14033": 17, "9000": 17, "14009": 17, "14378": 17, "14124": 17, "diff_failur": 17, "14457": 17, "14425": 17, "15099": 17, "11504": 17, "14090": 17, "14610": 17, "14609": 17, "14128": 17, "printf": 17, "macro": [17, 24, 46, 66, 75], "13236": 17, "10108": 17, "emb": [17, 24, 71], "13442": 17, "12871": 17, "13774": 17, "12317": 17, "13914": 17, "13920": 17, "10095": 17, "13939": 17, "12806": 17, "ffi": [17, 25, 55], "13997": 17, "13996": 17, "lazy_and": 17, "lazy_or": 17, "lazy_impl": 17, "14081": 17, "13964": 17, "14094": 17, "11866": 17, "13473": 17, "backport": 17, "13490": 17, "13725": 17, "13724": 17, "alpha": [17, 31, 54, 55], "13852": 17, "13727": 17, "adjoin": 17, "13909": 17, "13912": 17, "13758": 17, "searchhead": 17, "headconcl": [17, 59], "13763": 17, "intead": 17, "13764": 17, "14208": 17, "13562": 17, "14336": 17, "13202": 17, "ho": [17, 29, 58], "rakam": [17, 64], "14093": 17, "14092": 17, "14148": 17, "14102": 17, "14100": 17, "14382": 17, "13589": 17, "bruijn": [17, 24, 31, 33, 77], "14664": 17, "14652": 17, "tho": 17, "13876": 17, "unread": [17, 59], "14024": 17, "14023": 17, "delete_on_error": 17, "14238": 17, "13822": 17, "12411": 17, "10912": 17, "13624": 17, "13581": 17, "14285": 17, "14283": 17, "chargu\u00e9raud": 17, "14265": 17, "14309": 17, "standalon": [17, 51], "hybrid": 17, "13287": 17, "prompt": [17, 24, 52, 54, 59], "13783": 17, "13810": 17, "rpower": 17, "exp_ineq1": 17, "exp_ineq1_l": 17, "13582": 17, "uniformli": [17, 24, 51], "14086": 17, "bring": [17, 59], "eq_ex_uncurri": 17, "eq_ex2_uncurri": 17, "eq_ex": 17, "eq_ex2": 17, "eq_ex_hprop": 17, "eq_ex2_hprop": 17, "eq_ex_intro_uncurri": 17, "eq_ex_intro2_uncurri": 17, "eq_ex_intro": 17, "eq_ex_intro2": 17, "eq_ex_intro_hprop": 17, "eq_ex_intro2_hprop": 17, "39": [17, 53, 71], "cauchi": 17, "qextra": 17, "q_factordenom": 17, "qmult_frac_l": 17, "q_reduce_fl": 17, "qreduce_num_l": 17, "qle_neq": 17, "qlt_leneq": 17, "qmult_lt_le_compat_nonneg": 17, "qmult_le_lt_compat_po": 17, "qpower_pos_lt": 17, "qpower_0_lt": 17, "qpower_lt_1_increas": 17, "qpower_1_lt_po": 17, "qpower_1_lt": 17, "qpower_le_1_increas": 17, "qpower_1_le_po": 17, "qpower_1_l": 17, "qzero_eq": 17, "qreduce_zero": 17, "qpower_lt_compat": 17, "qpower_lt_compat_l": 17, "qpower_le_compat": 17, "qpower_le_compat_l": 17, "qpower_lt_compat_inv": 17, "qpower_lt_compat_l_inv": 17, "qpower_le_compat_inv": 17, "qpower_le_compat_l_inv": 17, "qpower_decomp": 17, "qpower_decomp_po": 17, "qarchimedeanexp2_po": 17, "qarchimedean_power2_po": 17, "qinv_swap_po": 17, "qinv_po": 17, "qinv_swap_neg": 17, "qinv_neg": 17, "delet": [17, 52, 54, 57, 66], "q_factornum_l": 17, "q_factornum": 17, "qopp_lt_compat": 17, "qround": 17, "qarith_bas": 17, "exclud": [17, 34, 41, 51, 53, 54, 55, 57, 59], "14293": 17, "14343": 17, "13307": 17, "if_then_els": [17, 71], "IF": [17, 71], "13871": 17, "13986": 17, "13895": 17, "13080": 17, "remaind": [17, 34, 55], "13559": 17, "12109": 17, "to_list": 17, "length_to_list": 17, "of_list_to_list_opp": 17, "to_list_nil": 17, "to_list_con": 17, "to_list_hd": 17, "to_list_last": 17, "to_list_const": 17, "to_list_nth_ord": 17, "to_list_tl": 17, "to_list_append": 17, "to_list_rev_append_tail": 17, "to_list_rev_append": 17, "to_list_rev": 17, "to_list_map": 17, "to_list_fold_left": 17, "to_list_fold_right": 17, "to_list_foral": 17, "to_list_exist": 17, "to_list_in": 17, "to_list_forall2": 17, "13671": 17, "count_occ": 17, "count_occ_app": 17, "count_occ_elt_eq": 17, "count_occ_elt_neq": 17, "count_occ_bound": 17, "count_occ_repeat_eq": 17, "count_occ_repeat_neq": 17, "count_occ_uniqu": 17, "count_occ_repeat_excl": 17, "count_occ_sgt": 17, "permutation_count_occ": 17, "13804": 17, "exists_map": 17, "exists_concat": 17, "exists_flat_map": 17, "forall_concat": 17, "forall_flat_map": 17, "nth_error_map": 17, "nth_repeat": 17, "nth_error_repeat": 17, "13955": 17, "cantor": [17, 34], "to_nat": 17, "of_nat": 17, "14008": 17, "qeq_from_part": 17, "qden_cancel": 17, "qnum_cancel": 17, "qreduce_l": 17, "qreduce_r": 17, "qmult_inject_z_l": 17, "qmult_inject_z_r": 17, "qden": 17, "qnum": 17, "14087": 17, "ordersex": 17, "string_as_ot": 17, "ascii_as_ot": 17, "14096": 17, "app_eq_app": 17, "forall_nil_iff": 17, "14153": 17, "1803": 17, "hex_z_scop": 17, "hex_positive_scop": 17, "hex_n_scop": 17, "14263": 17, "14384": 17, "firstn": 17, "skipn": 17, "14406": 17, "ghc": 17, "unsafecoerc": 17, "newer": 17, "14345": 17, "14256": 17, "12567": 17, "compatibl": 17, "datadir": 17, "customiz": 17, "patch": 17, "13617": 17, "oldroot": 17, "coqprefixinstal": 17, "destdir": [17, 53], "akin": [17, 30, 55], "14258": 17, "13885": 17, "alter": [17, 35, 75], "stale": 17, "clean": [17, 53, 57, 67, 72], "13405": 17, "unix": [17, 24], "13586": 17, "store": [17, 52, 53, 57, 59, 60], "15081": 17, "15070": 17, "14666": 17, "14505": 17, "14671": 17, "10796": 17, "15046": 17, "15043": 17, "14669": 17, "14670": 17, "imper": [17, 24, 55], "bugfix": 17, "rational": [17, 55, 57], "guidelin": 17, "io": [17, 25], "v8": 17, "51": 17, "blaudeau": 17, "coolen": 17, "matthew": 17, "dempski": 17, "ignat": 17, "insarov": 17, "larri": [17, 24], "lee": [17, 77], "jr": 17, "letan": 17, "lott": 17, "yusuk": 17, "matsushita": 17, "carl": 17, "patenaud": 17, "poulin": 17, "edward": 17, "400": 17, "100": [17, 54, 60, 64, 71], "novemb": [17, 24, 77], "2020": 17, "10390": 17, "data": [17, 24, 27, 34, 36, 39, 53, 54, 55, 57, 64, 66, 77], "11604": 17, "13356": 17, "13354": 17, "loss": [17, 57], "12537": 17, "12525": 17, "12647": 17, "13501": 17, "13495": 17, "attr": [17, 29, 51], "13312": 17, "10331": 17, "12414": 17, "13188": 17, "6042": 17, "tweak": 17, "frequenc": 17, "mess": 17, "12756": 17, "12001": 17, "6785": 17, "13106": 17, "synonym": [17, 29, 37, 51, 57, 58, 64], "12653": 17, "serv": [17, 24, 25, 26, 40, 55, 57, 60], "12768": 17, "12762": 17, "13183": 17, "12586": 17, "13290": 17, "13278": 17, "13166": 17, "13165": 17, "13217": 17, "13216": 17, "illtypedinst": 17, "13376": 17, "13266": 17, "13383": 17, "11816": 17, "13386": 17, "9971": 17, "13387": 17, "12348": 17, "realli": [17, 32, 57], "presum": [17, 71], "11841": 17, "9514": 17, "modal": 17, "12099": 17, "pow_po": [17, 71], "blow": 17, "102e": 17, "reprint": [17, 66], "02": [17, 29, 53, 77], "12218": 17, "12685": 17, "12950": 17, "4738": 17, "9682": 17, "12908": 17, "mitig": [17, 57, 73], "adopt": [17, 57, 73, 75], "12986": 17, "12984": 17, "7443": 17, "10824": 17, "12979": 17, "11986": 17, "12035": 17, "12765": 17, "13265": 17, "12960": 17, "9403": 17, "10803": 17, "12965": 17, "9569": 17, "13092": 17, "13078": 17, "13415": 17, "13303": 17, "orient": [17, 24, 25, 54, 55, 57, 60, 64], "7825": 17, "4095": 17, "4413": 17, "13237": 17, "13235": 17, "occs_num": [17, 55, 58, 64], "complement": [17, 57], "13403": 17, "psatz": [17, 25], "13417": 17, "prolog": [17, 24, 60], "12399": 17, "12423": [17, 54], "info_eauto": [17, 60], "13381": 17, "11906": 17, "12246": 17, "9816": 17, "12552": 17, "zifyint63": 17, "12648": 17, "tmp": 17, "13337": 17, "13336": 17, "13373": 17, "13363": 17, "13232": 17, "10110": 17, "13028": 17, "9716": 17, "13004": 17, "dup": [17, 57], "13317": 17, "13458": 17, "13459": 17, "prim": [17, 71], "13096": 17, "13139": 17, "6261": 17, "13016": 17, "13384": 17, "12516": 17, "13388": 17, "13255": 17, "13244": 17, "noinit": [17, 29, 51, 66], "13339": 17, "13345": 17, "13344": 17, "precompil": [17, 25, 51, 64], "48": [17, 51], "13352": 17, "folder": [17, 52, 53], "coqlibinstal": [17, 53], "coqdocinstal": [17, 53], "12389": 17, "12613": 17, "12862": 17, "12845": 17, "12874": 17, "13145": 17, "epsilon": [17, 60], "modulu": 17, "converg": 17, "creal": 17, "coarser": 17, "12186": 17, "int63not": 17, "unqualifi": [17, 35, 55, 71], "12479": 17, "12454": 17, "primfloat": [17, 36, 59, 71], "primfloatnot": 17, "12556": 17, "bignum": [17, 53], "coqprim": 17, "6f62bda": 17, "12801": 17, "suppli": [17, 37, 57, 62], "12861": 17, "12860": 17, "uncurri": 17, "curri": [17, 24, 26, 66, 77], "12716": 17, "repeat_app": 17, "repeat_eq_app": 17, "repeat_eq_con": 17, "repeat_eq_elt": 17, "forall_eq_repeat": 17, "permutation_repeat": 17, "12799": 17, "app_inj_tail_iff": 17, "app_inv_head_iff": 17, "app_inv_tail_iff": 17, "12094": 17, "12093": 17, "negat": [17, 27, 51, 54, 57, 58, 60, 62, 67], "12420": 17, "fix_f_inv": [17, 27], "fix_eq": [17, 27], "13365": 17, "gc": [17, 66], "polici": [17, 57, 74], "welcom": [17, 54], "tune": [17, 38, 42, 64], "ocamlrunparam": [17, 51, 66], "13040": 17, "11277": 17, "gmp": 17, "upstream": [17, 53], "bigint": [17, 29, 71], "11742": 17, "13007": 17, "vicent": 17, "overriden": 17, "overridden": [17, 27, 54, 57, 71, 75], "13556": 17, "opcod": 17, "13867": 17, "13870": 17, "crash": 17, "irreduc": [17, 37, 64, 71], "parrai": [17, 36], "14005": 17, "13998": 17, "marshal": 17, "14007": 17, "14006": 17, "incur": [17, 66], "14012": 17, "14011": 17, "coher": [17, 41], "organ": [17, 24, 25, 53, 54, 57], "11295": 17, "charg": 17, "chanc": [17, 53], "pool": [17, 62], "maintaint": 17, "31": 17, "abhishek": 17, "anand": 17, "boulier": 17, "carbonneaux": 17, "erika": 17, "rrika": 17, "nikita": 17, "eshkeev": 17, "xavier": [17, 77], "leroi": [17, 24, 77], "ik": 17, "mulder": 17, "antonio": 17, "nikishaev": 17, "lar": 17, "rasmusson": 17, "daniel": [17, 24], "rauglaudr": [17, 24], "talia": 17, "ringer": 17, "scinart": 17, "treinen": 17, "wiedemann": 17, "gitter": 17, "500": 17, "nan": [17, 71], "12484": 17, "12483": 17, "11368": 17, "simonbouli": 17, "postpon": [17, 58, 66], "stage": [17, 34, 42, 55, 66], "10858": 17, "9058": 17, "10202": 17, "11098": 17, "4696": 17, "5173": 17, "9098": 17, "11235": 17, "inhibit": [17, 57], "11261": 17, "10366": 17, "11600": 17, "12121": 17, "11579": 17, "7253": 17, "11585": 17, "12323": 17, "12322": 17, "12422": 17, "12418": 17, "beforehand": [17, 51, 55], "11120": 17, "11172": 17, "nicer": 17, "15e": 17, "11848": 17, "11113": 17, "uint": [17, 59, 71], "11948": 17, "11602": 17, "11650": 17, "0x2a": 17, "0xb": 17, "2ap": 17, "8808": 17, "10832": 17, "6092": 17, "7766": 17, "4690": 17, "11091": 17, "uselessli": 17, "11590": 17, "9741": 17, "12163": 17, "12159": 17, "rappli": [17, 58], "codomain": [17, 42, 71], "loop": [17, 24, 25, 51, 53, 55, 58, 60, 63], "10760": 17, "fewer": [17, 51, 58, 64, 66], "spurious": 17, "11018": 17, "nativecomput": [17, 64], "11025": 17, "11962": 17, "11963": 17, "preomega": 17, "elim_let": 17, "11370": 17, "11429": 17, "backtrac": [17, 25, 55, 59], "11755": 17, "11760": 17, "autounfold": [17, 60], "11883": 17, "12023": 17, "indirectli": [17, 24, 58, 59, 60, 74], "12146": 17, "10812": 17, "12139": 17, "12256": 17, "5764": 17, "5159": 17, "4925": 17, "11727": 17, "parenthesi": [17, 57, 66], "12326": 17, "eexist": [17, 43, 60, 66, 67], "12366": 17, "12365": 17, "11288": 17, "_eqn": 17, "eqn": [17, 40, 55, 57, 58, 67, 71], "11877": 17, "11976": 17, "pred_doubl": 17, "pred_n": 17, "add_carri": 17, "quot2": 17, "iszero": 17, "islezero": 17, "11474": 17, "11522": 17, "with_strategi": [17, 64, 71], "12129": 17, "12213": 17, "12210": 17, "zifypow": 17, "11362": 17, "11191": 17, "11436": 17, "7812": 17, "11761": 17, "12254": 17, "10343": 17, "11503": 17, "eenough": [17, 43, 58], "11740": 17, "of_goal": 17, "in_goal": 17, "11882": 17, "11981": 17, "inflat": 17, "12196": 17, "12197": 17, "8855": 17, "12253": 17, "11665": 17, "11185": 17, "unsound": [17, 34], "gradual": [17, 58], "11546": 17, "shrink": [17, 66], "11828": 17, "11663": 17, "11162": 17, "11812": 17, "12034": 17, "11258": 17, "11795": 17, "11972": 17, "width": [17, 59, 71], "12358": 17, "11618": 17, "11746": 17, "searchabout": [17, 24], "11944": 17, "7791": 17, "10747": 17, "11164": 17, "contrainst": 17, "11534": 17, "headhyp": [17, 59], "concl": [17, 59], "12295": 17, "12233": 17, "12296": 17, "12234": 17, "ocamldep": 17, "mldep": 17, "slash": [17, 57], "dumpbox": 17, "boot": 17, "11523": 17, "11589": 17, "rfrom": [17, 51], "lv": [17, 51], "11851": 17, "12097": 17, "cleanal": [17, 53], "12006": 17, "stem": 17, "12126": 17, "12211": 17, "newlin": [17, 24, 29, 53, 54, 71, 75], "text": [17, 24, 51, 52, 53, 57, 59, 66, 71, 75], "12368": 17, "11409": 17, "confusingli": [17, 58], "12005": 17, "portion": [17, 57], "foldabl": 17, "10592": 17, "py": 17, "fuzz": 17, "offset": [17, 53], "log": [17, 24, 53, 54], "timing_fuzz": [17, 53], "11302": 17, "timing_r": [17, 53], "timing_sort_bi": [17, 53], "peak": [17, 53, 66], "mem": [17, 53], "timing_include_mem": [17, 53], "timing_sort_by_mem": [17, 53], "11606": 17, "11617": 17, "html": [17, 25, 29, 53], "url": [17, 27, 52, 75, 77], "12026": 17, "7093": 17, "hyperlink": [17, 25, 29], "12033": 17, "7697": 17, "12091": 17, "11301": 17, "determinist": 17, "12027": 17, "3415": 17, "mismatch": [17, 46, 53], "throw": [17, 55], "uninform": 17, "12037": 17, "9670": 17, "12076": 17, "5030": 17, "corner": [17, 64], "12388": 17, "12387": 17, "unmaintain": 17, "11414": 17, "11415": 17, "zn2z": 17, "\u03c6": [17, 64, 71], "11686": 17, "sorted_sort": 17, "locallysorted_sort": 17, "mergesort": 17, "11885": 17, "lysxia": 17, "natord": 17, "35": [17, 27, 53], "11890": 17, "11891": 17, "11905": 17, "11909": 17, "listnot": [17, 54, 72], "11992": 17, "12073": 17, "5445": 17, "nodup_incl_nodup": 17, "nodup_permutation_bi": 17, "12120": 17, "11903": 17, "12162": 17, "bezout_comm": 17, "11127": 17, "rew": [17, 67, 77], "eqnot": 17, "11240": 17, "in_elt": 17, "in_elt_inv": 17, "app_nth2_plu": 17, "nth_middl": 17, "nth_ext": 17, "last_last": 17, "removelast_last": 17, "remove_con": 17, "remove_app": 17, "notin_remov": 17, "in_remov": 17, "in_in_remov": 17, "remove_remove_comm": 17, "remove_remove_eq": 17, "remove_length_l": 17, "remove_length_lt": 17, "in_concat": 17, "remove_concat": 17, "flat_map": [17, 24], "map_last": 17, "map_eq_con": 17, "map_eq_app": 17, "flat_map_app": 17, "flat_map_ext": 17, "nth_nth_nth_map": 17, "incl": [17, 59], "incl_nil_l": 17, "incl_l_nil": 17, "incl_cons_inv": 17, "incl_app_app": 17, "incl_app_inv": 17, "remove_incl": 17, "incl_map": 17, "incl_filt": 17, "incl_forall_in_iff": 17, "nodup_rev": 17, "nodup_filt": 17, "nodup_incl": 17, "exists_nth": 17, "exists_app": 17, "exists_rev": 17, "exists_fold_right": 17, "incl_exist": 17, "forall_app": 17, "forall_elt": 17, "forall_fold_right": 17, "incl_foral": 17, "map_ext_foral": 17, "exists_or": 17, "exists_or_inv": 17, "forall_and": 17, "forall_and_inv": 17, "exists_foral": 17, "forall_imag": 17, "concat_nil_foral": 17, "in_flat_map_exist": 17, "notin_flat_map_foral": 17, "repeat_con": 17, "repeat_to_concat": 17, "list_sum": 17, "list_max": 17, "list_sum_app": 17, "list_max_app": 17, "list_max_l": 17, "list_max_lt": 17, "misc": [17, 24, 52], "elt_eq_unit": 17, "last_length": 17, "rev_eq_app": 17, "removelast_firstn_len": 17, "cons_seq": 17, "seq_": 17, "11249": 17, "12237": 17, "lt_wf_rect1": 17, "lt_wf_rect": 17, "gt_wf_rect": 17, "lt_wf_double_rect": 17, "11335": 17, "11350": 17, "11880": 17, "permutation_refl": 17, "permutation_morph_transp": 17, "permutation_app_rot": 17, "permutation_app_swap_app": 17, "permutation_app_middl": 17, "permutation_middle2": 17, "permutation_elt": 17, "permutation_foral": 17, "permutation_exist": 17, "permutation_forall2": 17, "permutation_flat_map": 17, "permutation_list_sum": 17, "permutation_list_max": 17, "permutation_app_inv_m": 17, "permutation_vs_elt_inv": 17, "permutation_vs_cons_inv": 17, "permutation_vs_cons_cons_inv": 17, "permutation_map_inv": 17, "permutation_imag": 17, "permutation_elt_map_inv": 17, "transposit": 17, "permutation_transp": 17, "permutation_transp_sym": 17, "permutation_transp_equiv": 17, "permutation_transp_con": 17, "permutation_permutation_transp": 17, "permutation_ind_transp": 17, "11946": 17, "pat": [17, 55], "11957": 17, "boolord": 17, "bool_as_ot": 17, "bool_as_dt": 17, "12008": 17, "nth_order": 17, "nth_order_hd": 17, "nth_order_tl": 17, "nth_order_ext": 17, "nth_order_replace_eq": 17, "nth_order_replace_neq": 17, "replace_id": 17, "replace_replace_eq": 17, "replace_replace_neq": 17, "map_id": 17, "map_map": 17, "map_ext_in": 17, "map_ext": 17, "forall2": 17, "forall_impl": 17, "forall_foral": 17, "forall_nth_ord": 17, "forall2_nth_ord": 17, "12014": 17, "orb_negb_l": 17, "andb_negb_l": 17, "implb_true_iff": 17, "implb_false_iff": 17, "implb_true_r": 17, "implb_false_r": 17, "implb_true_l": 17, "implb_false_l": 17, "implb_sam": 17, "implb_contraposit": 17, "implb_negb": 17, "implb_curri": 17, "implb_andb_distrib_r": 17, "implb_orb_distrib_r": 17, "implb_orb_distrib_l": 17, "12018": 17, "cpermut": 17, "12031": 17, "orderedtypeex": 17, "12044": 17, "eth": 17, "protonmail": 17, "12015": 17, "tan_is_inj": 17, "tan_inj": 17, "atan_right_inv": 17, "tan_atan": 17, "ratan": 17, "9803": 17, "crzero": 17, "crone": 17, "cr_of_q": 17, "constructiver": 17, "constructiveminmax": 17, "constructivepow": 17, "11725": 17, "12287": 17, "12288": 17, "cons_rlist": 17, "app_rlist": 17, "app": [17, 26, 34, 35, 55, 58, 67], "11404": 17, "trigonometr": [17, 24], "asin": 17, "aco": 17, "sine": 17, "cosin": 17, "horizont": [17, 29, 53, 71, 75], "mirror": 17, "rsqr": 17, "sqrt": [17, 59], "posreal": 17, "extocamlnativestr": 17, "10486": 17, "extrhaskellstr": 17, "extrhaskellbas": 17, "12263": 17, "12257": 17, "12258": 17, "restructur": [17, 24], "43": [17, 53, 54], "11601": 17, "11871": 17, "11914": 17, "12148": 17, "12172": 17, "12239": 17, "12330": 17, "inspir": [17, 24, 75], "led": [17, 24], "11183": 17, "11314": 17, "11423": 17, "11705": 17, "11718": 17, "11720": 17, "11961": 17, "12103": 17, "11869": 17, "12150": 17, "12224": 17, "12286": 17, "thoroughli": [17, 55], "understood": [17, 32, 34, 36, 60, 71, 75], "doc_grammar": 17, "signific": [17, 24, 51, 63, 66], "revis": [17, 24, 55], "9884": 17, "10614": 17, "11797": 17, "11913": 17, "11958": 17, "11960": 17, "sphinx_rtd_them": 17, "sphinxcontrib": 17, "bibtex": 17, "11245": 17, "12523": 17, "11121": 17, "12683": 17, "12682": 17, "12572": 17, "12571": 17, "12541": 17, "12228": 17, "12594": 17, "12595": 17, "ast_closure_term": 17, "12708": 17, "12707": 17, "12677": 17, "12513": 17, "undeprec": 17, "12678": 17, "11970": 17, "12562": 17, "10988": 17, "twice": [17, 34, 51, 59, 64, 66], "row": [17, 46], "meantim": 17, "12583": 17, "12582": 17, "12738": 17, "7015": 17, "13331": 17, "13330": 17, "undetect": [17, 46], "lone": [17, 71], "12946": 17, "13026": 17, "12775": 17, "13018": 17, "hott": [17, 40], "12847": 17, "12846": 17, "12816": 17, "12787": 17, "13247": 17, "12773": 17, "12992": 17, "12857": 17, "12837": 17, "13301": 17, "13298": 17, "13351": 17, "13349": 17, "12754": 17, "12752": 17, "advertis": 17, "12772": 17, "sync": 17, "13063": 17, "13062": 17, "12794": 17, "13067": 17, "12793": 17, "12972": 17, "13011": 17, "12332": 17, "13436": 17, "13432": 17, "13468": 17, "13456": 17, "brought": 17, "scale": [17, 24, 51, 57, 64, 71], "binary64": [17, 36], "ieee": [17, 36, 77], "754": [17, 36], "relianc": 17, "bidirect": 17, "axiomatis": 17, "critic": [17, 24, 33, 54, 59], "61": [17, 53, 57], "adam": 17, "allai": 17, "helg": 17, "bahmann": 17, "langston": 17, "barrett": 17, "bertholon": 17, "michel": [17, 24], "caci": 17, "dabrowski": 17, "arma\u00ebl": 17, "gu\u00e9neau": 17, "florent": 17, "hivert": 17, "shachar": 17, "itzhaki": 17, "leli\u00e8vr": 17, "nichola": 17, "lewycki": 17, "jose": 17, "fernando": 17, "lopez": 17, "fernandez": 17, "lyng": 17, "alexandr": 17, "moin": 17, "nash": 17, "nawrocki": 17, "rand": 17, "jp": 17, "rodi": 17, "spanjel": 17, "claud": 17, "stolz": 17, "wilcox": 17, "exhaust": [17, 29, 46, 53, 54, 55, 59], "everybodi": 17, "extent": [17, 71], "influenc": [17, 24, 34], "sixth": 17, "cycl": 17, "assist": [17, 24, 25, 33, 65, 75], "2000": [17, 77], "300": [17, 24], "75": [17, 27, 71], "pari": [17, 77], "2019": [17, 77], "devis": 17, "processor": [17, 36], "nearest": [17, 54], "axiomat": [17, 24, 36, 54, 71], "floataxiom": 17, "9867": 17, "8276": 17, "10439": 17, "10664": 17, "10811": 17, "10049": 17, "10076": 17, "disj": [17, 71], "10167": 17, "10215": 17, "10441": 17, "telescop": 17, "10758": 17, "10757": 17, "human": [17, 25, 58, 75], "prose": 17, "10985": 17, "10996": 17, "10997": 17, "3282": 17, "11132": 17, "thing": [17, 52, 54, 55, 59, 67, 72], "9883": 17, "10180": 17, "connect": [17, 25, 57, 62, 71], "10963": 17, "simple_intropattern": [17, 55, 58, 67, 71, 72], "9288": 17, "cope": 17, "9856": 17, "8898": 17, "7886": 17, "9848": 17, "5155": 17, "10318": 17, "10765": 17, "10772": 17, "to_n": 17, "10774": 17, "9162": 17, "multisuccess": 17, "10966": 17, "10965": 17, "9114": 17, "10002": 17, "10289": 17, "white": [17, 57], "10324": 17, "10088": 17, "tag": [17, 24, 51, 52, 57, 66], "unwant": 17, "under_rel": 17, "unprotect": [17, 57], "10022": 17, "void": 17, "empty_set": [17, 40, 62, 71], "10932": 17, "inj_compr": 17, "11136": 17, "9530": 17, "3632": 17, "3890": 17, "4638": 17, "10173": 17, "10185": 17, "10277": 17, "10291": 17, "10476": 17, "prooftre": [17, 59, 66], "10489": 17, "4504": 17, "10399": 17, "10400": 17, "10494": 17, "addpath": [17, 24], "addrecpath": [17, 24], "delpath": [17, 24], "11187": 17, "8642": 17, "shorthand": [17, 41, 54, 57, 64], "refrom": [17, 51], "rifrom": [17, 51], "10245": 17, "vdfile": 17, "coexist": 17, "10947": 17, "11068": 17, "orderedtyp": [17, 60], "ordered_typ": [17, 60], "9772": 17, "zlogarithm": [17, 24], "zsqrt_compat": 17, "9811": 17, "constructivecauchyr": 17, "10445": 17, "classicaldedekindr": 17, "dedekind": 17, "omnisci": 17, "rdefinit": 17, "raxiom": 17, "10827": 17, "nth_error": 17, "10651": 17, "10731": 17, "morgan": 17, "law": [17, 24, 25], "classicalfact": 17, "10895": 17, "08": [17, 77], "10471": 17, "11081": 17, "11360": 17, "11361": 17, "11422": 17, "10657": 17, "11233": 17, "11231": 17, "jai": 17, "11276": 17, "10750": 17, "11311": 17, "9532": 17, "9490": 17, "10762": 17, "11203": 17, "10971": 17, "9725": 17, "11263": 17, "11063": 17, "11242": 17, "11270": 17, "11337": 17, "11430": 17, "cofix": [17, 25, 28, 29, 31, 44, 54, 55, 57, 64, 67], "11241": 17, "11428": 17, "11255": 17, "11254": 17, "11280": 17, "camlpkg": [17, 53], "unpack": 17, "mllib": [17, 53], "11357": 17, "11394": 17, "11353": 17, "gtksourceview": [17, 52], "autocomplet": 17, "11400": 17, "ranalysi": [17, 24], "ranalysis_reg": 17, "11396": 17, "source_date_epoch": 17, "11227": 17, "11811": 17, "11530": 17, "9517": 17, "9519": 17, "9521": 17, "11331": 17, "11859": 17, "10008": 17, "snyke7": 17, "11595": 17, "11131": 17, "11123": 17, "11102": 17, "11329": 17, "11114": 17, "11783": 17, "boro": 17, "12116": 17, "12045": 17, "12223": 17, "12152": 17, "12255": 17, "12070": 17, "gtk": [17, 52], "gtk_csd": 17, "12060": 17, "11080": 17, "random": 17, "12068": 17, "11943": 17, "12106": 17, "11506": 17, "stabil": 17, "6914": 17, "8817": 17, "discov": [17, 53], "9602": 17, "sigt2": [17, 27, 67], "sigt_of_sigt2": 17, "projt3_eq": 17, "8451": 17, "8850": 17, "8965": 17, "02e": [17, 29], "01": [17, 53, 64], "8764": 17, "9142": 17, "7769": 17, "7385": 17, "novel": [17, 25], "vener": 17, "fourier": [17, 24], "8457": 17, "fr\u00e9deric": 17, "mytac": [17, 55, 57], "6705": 17, "liner": [17, 25], "contextu": [17, 24, 25, 31, 41], "rh": [17, 55, 57, 59], "eq_big": [17, 57], "9651": 17, "7634": 17, "winterhalt": [17, 77], "186": 17, "lablgtk2": 17, "9279": 17, "garrigu": 17, "sogetrop": 17, "smart": 17, "greek": [17, 29, 75], "8560": 17, "05": 17, "7522": 17, "ar\u00eda": 17, "fork": 17, "ast": [17, 24, 37], "ship": [17, 66], "7902": 17, "7979": 17, "8161": 17, "8667": 17, "8945": 17, "tradit": [17, 24, 51, 63], "6857": 17, "bunch": [17, 57], "tutori": [17, 25, 63, 74, 77], "plugin_tutori": [17, 63, 74], "trunk": 17, "latest": [17, 25, 50], "deploi": 17, "barenblat": 17, "joachim": 17, "breitner": 17, "chapoton": 17, "lukasz": 17, "czajka": 17, "dalrympl": 17, "mat\u011bj": 17, "grabovsk\u00fd": 17, "gregersen": 17, "mirai": 17, "ikebuchi": 17, "matej": 17, "ko\u0161\u00edk": 17, "sam": [17, 77], "pablo": 17, "kuper": 17, "darryl": 17, "nick": 17, "marech": 17, "kayla": 17, "ngan": 17, "ryan": 17, "scott": [17, 24], "gan": 17, "shen": 17, "kamil": 17, "trzci\u0144ski": 17, "whitequark": 17, "fifth": 17, "2500": 17, "650": [17, 24, 54], "santiago": 17, "chile": 17, "april": [17, 77], "9095": 17, "topfil": 17, "\u00e0": [17, 24, 55], "foolib": 17, "8991": 17, "8989": 17, "9876": 17, "8870": 17, "stdout": [17, 75], "python2": 17, "python3": 17, "9872": 17, "9767": 17, "9705": 17, "9906": 17, "coqiderc": [17, 52], "10014": 17, "induc": [17, 24], "8217": 17, "8215": 17, "262": 17, "nonprimit": 17, "8829": 17, "funind": [17, 59, 72], "8488": 17, "undelimit": [17, 59, 71], "7135": 17, "9214": 17, "shorten": [17, 28], "gcd": [17, 59], "9874": 17, "9840": 17, "9844": 17, "8638": 17, "10061": 17, "9681": 17, "7894": 17, "8555": 17, "7309": 17, "romega": [17, 24], "8419": 17, "8987": 17, "div_mod": 17, "quot_rem": 17, "8062": 17, "conform": 17, "preexist": 17, "9524": 17, "7632": 17, "9996": 17, "5752": 17, "10012": 17, "10017": 17, "10053": 17, "10059": 17, "post": [17, 24, 53, 57], "9854": 17, "disciplin": [17, 24, 26], "across": [17, 52, 54, 55, 57, 59, 73], "9341": 17, "inE": 17, "pred_sort": 17, "predtyp": 17, "pred_class": 17, "mkpredtyp": 17, "nonproptyp": 17, "_not_": 17, "relpr": 17, "preimag": 17, "9995": 17, "8820": 17, "8791": 17, "8779": 17, "9001": 17, "extra_scop": 17, "9117": 17, "9160": 17, "8819": 17, "9307": 17, "9300": 17, "9270": 17, "9825": 17, "9274": 17, "9410": 17, "9509": 17, "9508": 17, "9364": 17, "9363": 17, "8094": 17, "9829": 17, "obvious": 17, "9743": 17, "3219": 17, "alloc": [17, 51], "clever": [17, 59, 64], "9078": 17, "8920": 17, "9306": 17, "bveq": 17, "bvxor": 17, "bvand": 17, "bvor": 17, "bvneg": 17, "8171": 17, "8365": 17, "bv2n": 17, "8815": 17, "9013": 17, "7221": 17, "9425": 17, "fset": [17, 60], "equalitiesfact": 17, "pairusualdecidabletypeful": 17, "9984": 17, "8669": 17, "credit": [17, 24], "histori": [17, 25, 26, 53, 59, 66], "histor": [17, 25, 44, 55], "9133": 17, "9668": 17, "9939": 17, "9964": 17, "10085": 17, "10205": 17, "10302": 17, "10301": 17, "10305": 17, "9336": 17, "instabl": 17, "gtk3": 17, "10360": 17, "9885": 17, "10019": 17, "421": 17, "9294": 17, "hoist": 17, "gather": [17, 24, 27, 55, 57, 58], "govern": [17, 41, 44, 52, 67], "9918": 17, "10336": 17, "10430": 17, "10361": 17, "improp": 17, "extractor": [17, 24], "10577": 17, "7348": 17, "splitat": 17, "uncon": 17, "9379": 17, "konstantino": 17, "kalla": 17, "10806": 17, "9512": 17, "10904": 17, "10891": 17, "9851": 17, "10899": 17, "10894": 17, "10852": 17, "10842": 17, "10897": 17, "4741": 17, "nonlinear": 17, "11128": 17, "11039": 17, "destko": 17, "11052": 17, "11048": 17, "11014": 17, "8459": 17, "11090": 17, "11033": 17, "uneven": 17, "dimens": 17, "resiz": 17, "11070": 17, "10956": 17, "11069": 17, "11058": 17, "11000": 17, "10728": 17, "autonom": 17, "vectordef": 17, "coordin": [17, 24], "homebrew": 17, "emac": [17, 51, 52, 59, 66], "ybertot": 17, "l\u00e9o": 17, "andr\u00e8": 17, "rin": 17, "arakaki": 17, "siddharth": 17, "bhat": 17, "timothi": 17, "bourk": 17, "ambrois": 17, "lafont": [17, 77], "leonida": 17, "lampropoulo": 17, "peter": [17, 24], "lefanu": 17, "lumsdain": 17, "sven": 17, "hallberg": 17, "cyprien": 17, "mangin": 17, "perri": 17, "metzger": 17, "grayson": 17, "paul": 17, "steckler": 17, "zeimer": 17, "fourth": [17, 54, 57], "decentr": 17, "000": [17, 53, 54], "consortium": 17, "2018": 17, "nameless": [17, 77], "lazymatch": 17, "constr_eq": 17, "constr_eq_strict": [17, 54], "constr_eq_nouniv": 17, "unfocu": [17, 66], "string_scop": [17, 71], "whichev": 17, "n2bv_size": 17, "n2bv_gen": 17, "int_scop": 17, "uint_scop": 17, "dec_int_scop": [17, 71], "dec_uint_scop": [17, 71], "stringsyntax": 17, "asciisyntax": 17, "binintdef": 17, "parith": 17, "binposdef": [17, 59], "binnatdef": [17, 59], "coq88": 17, "download": [17, 27, 53, 77], "gist": 17, "jasongross": 17, "5d4558edf8f5c2c548a3d96c17820169": 17, "okj": 17, "cup": [17, 26, 34, 51], "coffe": 17, "noi": [17, 51], "coqflag": [17, 53], "coqchkflag": [17, 53], "coqdocflag": [17, 53], "contact": [17, 52], "compani": [17, 66], "mainten": [17, 25, 58, 63], "ssrhave": [17, 57], "notcresolut": [17, 57], "loadabl": 17, "server": [17, 52], "parallel": [17, 24, 25, 38, 51, 52, 53, 54, 57, 76], "fledg": 17, "worker": [17, 25, 52, 54], "_x_": [17, 57], "idiom": [17, 54, 55, 57, 66], "octal": 17, "hex": 17, "pg": [17, 66], "list_scop": [17, 64, 71], "vector_scop": 17, "life": 17, "destructur": [17, 24, 25, 32, 40], "overhaul": 17, "peopl": 17, "calvin": 17, "beck": 17, "heiko": 17, "becker": 17, "richard": 17, "ford": 17, "laurenc": [17, 57], "rideau": [17, 57], "zyuzin": 17, "lint": [17, 53], "track": [17, 24, 51, 53, 55, 57], "wiki": [17, 64], "bugtrack": 17, "44": 17, "pascal": 17, "hebb": 17, "johann": 17, "kloo": 17, "toni": 17, "farzon": 17, "lotfi": 17, "rapha\u00ebl": 17, "monat": [17, 24], "matt": 17, "quinn": 17, "sigurd": 17, "schneider": 17, "vassor": 17, "vadim": 17, "zaliva": 17, "roadmap": 17, "tracker": [17, 54], "brain": 17, "storm": 17, "amin": 17, "timani": 17, "emploi": [17, 42], "march": [17, 24, 77], "occas": 17, "leftmost": [17, 34, 41, 58], "factoriz": [17, 46], "perf": [17, 64], "1362": 17, "uselocaldef": 17, "restart_tim": [17, 54], "finish_tim": [17, 54], "time_constr": [17, 25], "optimize_heap": [17, 66], "heap": [17, 54, 66], "garbag": [17, 75], "dtauto": [17, 62], "unintendedli": 17, "give_up": 17, "appcontext": 17, "older": [17, 29, 51, 67], "ongo": [17, 63], "4129": 17, "boundari": 17, "5726": 17, "linter": [17, 51], "geoproof": 17, "faq": 17, "decimalfact": 17, "decimalnat": 17, "decimalpo": 17, "decimaln": 17, "decimalz": 17, "decimalstr": 17, "concaten": [17, 26, 54, 55, 67], "zpo": 17, "l2r": 17, "asynchron": [17, 25, 66, 76], "7333": 17, "7695": 17, "7615": 17, "7723": 17, "7462": 17, "mileston": 17, "pdf": [17, 29, 77], "toler": 17, "eassert": [17, 43, 58], "redesign": [17, 24], "palat": [17, 55], "safer": [17, 24], "writer": [17, 29, 55], "txt": [17, 24, 53], "streamlin": [17, 24], "sibut": 17, "pinot": 17, "bign": 17, "bigz": [17, 53], "bigq": 17, "archiv": [17, 77], "softwar": [17, 24, 25, 59, 77], "kit": 17, "prepar": [17, 24], "regularli": 17, "travi": 17, "bell": 17, "marti": 17, "pierc": 17, "r\u00e9gi": 17, "giana": 17, "stell": 17, "strub": 17, "road": 17, "attract": 17, "hopefulli": [17, 55], "propos": [17, 24, 34, 54], "publicli": 17, "upcom": 17, "foundat": [17, 24, 29, 54, 57, 77], "august": [17, 24], "2017": 17, "bare": [17, 71], "existt": [17, 27, 67, 71], "ever": [17, 52, 55, 57, 67, 71], "h2": [17, 34, 43, 54, 55, 57, 58, 67], "eq_sigt_rect": 17, "sig2": [17, 27, 35, 67], "eq_sig": [17, 67], "couterbal": 17, "outperform": 17, "ymmv": 17, "miller": 17, "fairli": [17, 57], "constr_with_bind": 17, "open_constr_with_bind": 17, "epos": [17, 43, 58, 71], "eset": [17, 43, 58], "erememb": [17, 43, 58], "4890": 17, "unfocus": [17, 34, 55, 59, 66, 67], "fashion": [17, 24, 51], "someon": 17, "metric": 17, "weight": 17, "propextension": 17, "setoidchoic": 17, "choicefact": 17, "powerrz": 17, "strengthen": [17, 35, 57, 67], "jmeq_eq_dep": 17, "4912": 17, "inr": [17, 27, 40], "inr_izr_inz": 17, "camlp4": [17, 24], "overview": [17, 25, 71], "retro": 17, "ocamlc": 17, "ocamlopt": 17, "race": 17, "cmi": 17, "1859": 17, "2884": 17, "3613": 17, "3943": 17, "3994": 17, "4250": 17, "4709": 17, "4720": 17, "4824": 17, "4844": 17, "4911": 17, "5026": 17, "5233": 17, "5275": 17, "5315": 17, "5336": 17, "5360": 17, "5390": 17, "5414": 17, "5417": 17, "5420": 17, "5439": 17, "5449": 17, "5475": 17, "5476": 17, "5482": 17, "5501": 17, "5507": 17, "5520": 17, "5523": 17, "5524": 17, "5553": 17, "5577": 17, "5578": 17, "5589": 17, "5597": 17, "5598": 17, "5607": 17, "5618": 17, "5619": 17, "5620": 17, "5641": 17, "5648": 17, "5651": 17, "5671": 17, "5730": 17, "unrespons": 17, "ram": 17, "06": [17, 24, 53, 77], "6677": 17, "450": 17, "art": [17, 52], "brand": 17, "irrefut": [17, 25, 32, 40, 57], "ltacprof": 17, "tobia": 17, "tebbi": 17, "s\u00e9bastien": 17, "hinder": 17, "refactor": [17, 64], "gregori": 17, "malecha": 17, "throughout": [17, 29], "boutilli": 17, "clerc": 17, "ricki": 17, "elrod": 17, "jonathan": 17, "leivent": 17, "2016": 17, "symptom": 17, "\u03bb": [17, 24, 26, 31, 34, 38, 52, 54, 57, 66, 77], "fixabl": 17, "retyp": 17, "coq85": [17, 31, 77], "seriou": [17, 71], "pat1": 17, "patn": 17, "is_ind": [17, 54], "is_const": 17, "is_proj": 17, "is_constructor": 17, "notypeclass": [17, 58], "regexp": [17, 60], "goe": [17, 53, 55, 59, 66], "scrutine": 17, "5248": 17, "architectur": [17, 24, 29], "5380": 17, "5574": 17, "5205": 17, "5568": 17, "5019": 17, "5550": 17, "5546": 17, "5535": 17, "5486": 17, "5522": 17, "var": [17, 24, 26, 54, 58], "5526": 17, "5255": 17, "3659": 17, "5300": 17, "outdat": 17, "5487": 17, "5377": 17, "4306": 17, "5435": 17, "Be": [17, 75], "5132": 17, "comand": 17, "resilient_command": 17, "5365": 17, "5244": 17, "4969": 17, "five": [17, 27, 64], "carst": 17, "tankink": 17, "outcom": [17, 51, 53, 54, 67], "pave": 17, "smarter": 17, "makariu": 17, "wenzel": 17, "pide": 17, "jedit": 17, "coqoon": 17, "alexand": 17, "faithful": 17, "jesper": [17, 77], "bengtson": 17, "fund": 17, "paral": 17, "itp": [17, 77], "french": 17, "anr": 17, "justifi": [17, 27], "partli": [17, 57], "ia": 17, "princeton": 17, "compliant": 17, "unival": 17, "homotopi": 17, "channel": [17, 51], "braibant": 17, "benchmark": [17, 54], "greg": 17, "marc": 17, "lasson": 17, "half": [17, 24, 37, 66], "notin": [17, 26], "fran\u00e7oi": [17, 57], "ripault": 17, "2015": [17, 24], "decemb": [17, 24, 77], "omegatact": 17, "nonstandard": 17, "accident": [17, 57], "beginn": [17, 25], "projt1": [17, 27], "unchang": [17, 54, 57, 58, 60, 64, 66], "vertic": [17, 59, 71], "param": 17, "mkr": 17, "heavili": 17, "foo_rect": 17, "foo_rec": 17, "2693": 17, "nonrecurs": [17, 37, 40, 67, 72], "searchrewrit": [17, 24], "searchpattern": [17, 24], "retriev": [17, 51, 54, 59, 60, 77], "footprint": 17, "pipe": 17, "solvabl": [17, 58, 62], "repars": [17, 54], "combinator": 17, "explos": 17, "multimatch": 17, "coqworkmgr": 17, "revgoal": 17, "indefinit": 17, "accompani": 17, "materi": [17, 24, 25, 50, 57], "shelve_unifi": [17, 58], "proof_admit": 17, "fundament": [17, 24, 31, 57], "tryif": [17, 25], "2680": 17, "supersed": 17, "fly": [17, 55, 57], "borrow": 17, "forthcom": 17, "ipat": [17, 57], "spent": [17, 51, 53, 54], "type_term": [17, 25], "piecewis": 17, "friendli": [17, 24, 52], "premis": [17, 24, 28, 35, 57, 60, 66], "residu": [17, 57], "discontinu": 17, "info_auto": [17, 60], "info_trivi": 17, "dumpgraph": 17, "checkproof": 17, "concurr": 17, "yellow": [17, 52], "editor": [17, 52, 53, 77], "retract": 17, "lock": [17, 25], "area": 17, "detach": [17, 52], "screen": [17, 52, 59], "station": 17, "coq_color": 17, "rocqlib": [17, 51, 53, 59, 71], "toploop": 17, "intf": 17, "constrexpr": 17, "glob_term": 17, "coqrunbyteflag": 17, "blank": [17, 24, 29, 53], "comma": [17, 46, 51, 52, 55, 57, 74], "coqtoolsbyteflag": 17, "8388851": 17, "8388607": 17, "randomli": 17, "change_arg": 17, "make_change_arg": 17, "loos": [17, 60], "lax": [17, 55, 60], "unload": 17, "sublemma": 17, "subcompon": [17, 51], "evarmap": 17, "leak": 17, "unsafe_": 17, "type_of": 17, "unsafe_type_of": 17, "e_type_of": 17, "e_": [17, 35], "tacmach": 17, "pf_type_of": 17, "pf_unsafe_type_of": 17, "lack": [17, 53, 54, 57], "coq84": 17, "admitaxiom": 17, "c1": [17, 46, 57, 67, 71], "cn": 17, "4588": 17, "merlin": [17, 53], "compare_cas": 17, "prod_appvect": 17, "econstructor": [17, 43, 67], "get_current_context": 17, "4603": 17, "4630": 17, "20x": 17, "4627": 17, "4623": 17, "4591": 17, "brows": [17, 25, 27, 52, 57, 73], "resili": [17, 25], "4614": 17, "uninterrupt": 17, "ascrib": 17, "4533": 17, "win": 17, "kill": 17, "unreli": 17, "waitpid": 17, "4369": 17, "4608": 17, "output_valu": 17, "4607": 17, "4105": 17, "poor": 17, "4596": 17, "broke": 17, "week": 17, "4544": 17, "betaiota": 17, "4540": 17, "4580": 17, "4582": 17, "4683": 17, "stm": 17, "4542": 17, "4574": 17, "invalid_argu": [17, 55], "splay_ar": 17, "4547": 17, "stock": 17, "4530": 17, "4537": 17, "4522": 17, "4373": 17, "3826": 17, "4495": 17, "metasyntax": 17, "4511": 17, "4503": 17, "4519": 17, "oop": 17, "4506": 17, "indrec": 17, "4548": 17, "checksum": [17, 51], "4097": 17, "4398": 17, "4450": 17, "4677": 17, "4644": 17, "4725": 17, "placehold": [17, 43, 44, 51, 57, 58, 66, 71], "4747": 17, "4752": 17, "4777": 17, "4818": 17, "undefin": [17, 28], "4823": 17, "remot": 17, "counter": [17, 62], "thread": 17, "socket": 17, "4841": 17, "4851": 17, "4858": 17, "hd": [17, 30, 34, 57, 72], "4880": 17, "nsatz_comput": 17, "certif": 17, "4881": 17, "synchron": [17, 24, 52], "4882": 17, "4069": 17, "4718": 17, "4876": 17, "4780": 17, "4673": 17, "4754": 17, "4769": 17, "3886": 17, "4994": 17, "typo": [17, 44], "5008": 17, "md5": 17, "openbsd": 17, "5007": 17, "4606": 17, "5001": 17, "clenv_refine_in": 17, "2336": 17, "4832": 17, "extran": [17, 52], "4947": 17, "4156": 17, "4871": 17, "5043": 17, "5062": 17, "5065": 17, "5077": 17, "5095": 17, "4887": 17, "4762": 17, "4970": 17, "4529": 17, "4416": 17, "4863": 17, "5123": 17, "3209": 17, "5097": 17, "wrt": [17, 24], "5150": 17, "subsystem": [17, 24], "prerequisit": [17, 53], "3941": 17, "4822": 17, "3479": 17, "5127": 17, "5102": 17, "parse_entri": 17, "pcm": 17, "logarithm": 17, "graphic": [17, 25, 29, 51, 52], "textual": [17, 46, 71], "glondu": 17, "confid": [17, 24, 25], "lw11": [17, 77], "permiss": [17, 53], "chung": 17, "kil": 17, "hur": 17, "heq": [17, 54, 67], "is_evar": [17, 54], "has_evar": 17, "came": 17, "analyz": [17, 40, 57, 67], "black": [17, 29], "andrew": [17, 77], "appel": 17, "unprov": [17, 43, 58], "frac": [17, 26, 31, 34, 35, 38], "zar": 17, "\u00e9lie": 17, "soubiran": 17, "chlipala": 17, "why3": 17, "lri": [17, 24, 77], "matthia": 17, "puech": 17, "narboux": 17, "debian": 17, "tom": 17, "princ": 17, "c\u00e9dric": 17, "auger": 17, "baeld": 17, "dan": [17, 24, 77], "herm": 17, "eeli": 17, "weegen": 17, "2011": [17, 77], "pcompar": 17, "compare_cont": 17, "z_le_gt_dec": 17, "shiftl": 17, "shiftr": 17, "theorylist": 17, "cv": [17, 51], "mid": 17, "juli": [17, 24], "todo": 17, "moment": [17, 26, 52, 53, 54], "zpred": 17, "1912": 17, "2236": 17, "nocor": [17, 60], "2188": 17, "pseudo": [17, 57, 60], "tabul": [17, 24, 57], "substr": [17, 59], "_subproof": [17, 59, 66], "private_": [17, 59], "xx": 17, "aren": [17, 52, 53, 54, 58, 73, 75], "2168": 17, "lcm": [17, 59], "log2": [17, 59], "binnum": [17, 59, 71], "regroup": 17, "add_0_l": 17, "add_comm": [17, 59, 64], "add_assoc": [17, 59], "zplus_comm": 17, "binpo": [17, 59], "spite": 17, "incompatibili": 17, "infam": 17, "ternari": 17, "zle": 17, "pos_sub": 17, "truncat": [17, 57], "zodiv": 17, "floor": 17, "z2nat": 17, "n2z": 17, "nmake_gen": 17, "nmake": 17, "rework": 17, "creation": [17, 24, 43, 60], "vcon": [17, 67], "vectornot": 17, "eq_rect_r": [17, 27], "iter_nat": 17, "nat_it": 17, "dont": [17, 59], "hash": 17, "cons": 17, "alongsid": 17, "usecamlp4": 17, "aspect": [17, 24, 46], "itarget": 17, "ocamlbuild": 17, "cross": [17, 24, 35, 38, 64, 66, 71], "mingw": 17, "truli": [17, 57], "accessopaqu": 17, "layout": 17, "cst1": 17, "cst2": 17, "2555": 17, "subprocess": 17, "relaunch": 17, "xp": 17, "sp1": 17, "dialect": 17, "2357": 17, "xdg_config_hom": [17, 51, 52], "acceler": [17, 52], "xdg_data_hom": [17, 51, 53], "xdg_data_dir": [17, 51], "rc": [17, 24], "mlpack": [17, 53], "preproccess": 17, "ml4": 17, "mlihtml": 17, "config": [17, 51, 52], "dstroot": 17, "backto": [17, 59], "unavail": 17, "resum": 17, "reintroduc": [17, 57], "ergo": 17, "yice": 17, "cvc3": 17, "z3": 17, "cvcl": 17, "harvei": 17, "zenon": 17, "gwhy": 17, "why2": 17, "suitabl": [17, 41, 52], "mset": 17, "msetavl": 17, "ed": [17, 24], "xyz": 17, "spirit": [17, 34, 55], "case_eq": 17, "2489": 17, "setoidpermut": 17, "partit": 17, "evolut": [17, 77], "evolv": [17, 24, 37, 52, 54], "intertwin": [17, 57], "cascad": 17, "march\u00e9": [17, 24], "usefulli": 17, "garillot": 17, "robin": [17, 77], "green": [17, 29, 52, 66], "lescuy": 17, "cast\u00e9ran": [17, 77], "excel": 17, "2010": 17, "eq_tru": 17, "heterogen": [17, 67], "proper_prf": 17, "courtesi": 17, "classical_prop": 17, "gappa": 17, "2104": 17, "groebner": 17, "t2": [17, 34, 42], "edestruct": [17, 43, 58, 67], "exfalso": [17, 58], "falso": [17, 58], "quodlibet": [17, 58], "upward": [17, 24], "uncapit": 17, "danger": 17, "weird": 17, "gain": [17, 24], "legal": [17, 31, 34], "harsh": 17, "flatten": 17, "unappli": 17, "extrocaml": 17, "big_int": 17, "hard": [17, 55, 59, 64], "wire": [17, 55], "expr": [17, 54, 55, 71], "handi": [17, 71], "conv_expr": 17, "compare_dec": [17, 24], "nat_compar": 17, "lt_eq_lt_dec": 17, "nat_compare_alt": 17, "zlt_gt_succ": 17, "zlt_succ_gt": 17, "permtat": 17, "set_map": 17, "worst": [17, 59], "ln": 17, "permutsetoid": 17, "heapsort": [17, 24], "decidabletyp": 17, "orderstac": 17, "genericminmax": 17, "compspec": 17, "flavor": [17, 37, 71], "trunc": 17, "beautifi": [17, 51], "reformat": 17, "revamp": 17, "offsid": 17, "whitespac": [17, 24, 53, 75], "italic": [17, 75], "_underscores_": 17, "toc": [17, 75], "header": [17, 51, 75], "titl": [17, 52, 75], "interpol": [17, 53, 75], "typeset": [17, 75], "dynlink": [17, 59], "cma": 17, "cmxa": 17, "novelti": [17, 25], "landmark": 17, "arbitrarili": [17, 58, 71], "hi": [17, 24, 34], "concept": [17, 24, 25, 31, 57, 77], "krivin": [17, 64], "stengl": 17, "positivstellensatz": [17, 25], "motzkin": 17, "plane": [17, 24, 25], "deliv": 17, "importantli": 17, "knowledg": [17, 25, 71], "comfort": [17, 46], "supervis": [17, 24], "sile": 17, "alon": [17, 24, 34, 67], "hijack": 17, "malici": [17, 51], "maman": 17, "mimram": 17, "connor": 17, "cezari": 17, "kaliszyk": 17, "milad": 17, "niqui": 17, "partner": 17, "marel": 17, "microsoft": 17, "radboud": 17, "nijmegen": [17, 24], "particip": [17, 57], "palaiseau": 17, "2008": [17, 77], "overload": [17, 24, 25, 71], "id1": 17, "idn": 17, "acc_rect": [17, 27, 34], "zeta": [17, 24, 31, 55, 64], "setoidlist": 17, "zmisc": 17, "troubl": [17, 54, 64, 67], "setistyp": 17, "challeng": [17, 24, 77], "fsetinterfac": 17, "eq_dec": 17, "miniorderedtyp": 17, "mot_to_ot": 17, "fsetdecid": 17, "aaron": 17, "bohannon": 17, "fsetproperti": 17, "1347": 17, "avl": 17, "fsetavl": 17, "fmapavl": 17, "lightweight": 17, "balanc": [17, 57], "appendix": 17, "fsetfullavl": 17, "fmapfullavl": 17, "intmap": [17, 24], "cachan": [17, 24], "eq_nat_dec": 17, "z_lt_le_dec": 17, "positive_as_ot": 17, "xi": 17, "xo": 17, "nminu": 17, "nmin": 17, "nmax": 17, "zpower": [17, 24], "null": [17, 24, 57], "_full": 17, "eqnat": [17, 26], "eqlista": 17, "equivlista": 17, "english": 17, "prod_f_so": 17, "prod_f_r0": 17, "ln_exists1": 17, "rlogic": 17, "intuitionist": [17, 24, 25, 27, 34, 57, 62, 77], "indefinitedescript": 17, "rstar": [17, 24], "newman": [17, 24], "coc_histori": 17, "defens": [17, 24, 44, 57], "refrain": 17, "nnn": [17, 71], "expr_0": 17, "expr_1": 17, "expr_n": 17, "expr_i": 17, "intermedi": [17, 27, 57, 66], "erewrit": [17, 43, 64], "ediscrimin": [17, 43, 67], "einject": [17, 43, 67], "esimplify_eq": [17, 43], "simplify_eq": [17, 24, 67], "eelim": [17, 43, 67], "ecas": [17, 43, 58, 67], "einduct": [17, 43, 58, 67], "generer": 17, "th": [17, 30, 34, 40, 57, 58, 66, 67, 77], "id_1": 17, "id_n": 17, "basicelim": [17, 67], "nota": 17, "clarif": 17, "ifi": 17, "in_left": 17, "in_right": 17, "program_scop": 17, "class_1": 17, "param_1": 17, "param_n": 17, "class_2": 17, "some_class": 17, "setoid_replac": [17, 24, 64, 71], "55": 17, "signature_scop": 17, "cst": 17, "morphisms_rel": 17, "setoidtact": [17, 71], "subrel": [17, 25], "onto": [17, 71], "conflit": 17, "font": [17, 52, 53, 75], "monospac": 17, "meaning": [17, 29, 52], "coqdir": [17, 75], "subdir": [17, 51, 53], "tex": [17, 53, 75], "whelp": 17, "getter": 17, "browser": [17, 52], "coqtest_skipcomplex": 17, "zinc": [17, 64, 77], "christin": [17, 24, 27, 34, 77], "paulin": [17, 24, 27, 34, 77], "ayach": 17, "rocquencourt": [17, 24], "pennsylvania": [17, 77], "yale": 17, "2006": 17, "corollari": [17, 32], "helm": [17, 24], "constr_may_ev": 17, "setoid_symmetri": 17, "setoid_transit": 17, "setoid_reflex": 17, "autorewit": 17, "5941": 17, "noncrit": 17, "classical_left": [17, 58], "classical_right": [17, 58], "eassumpt": [17, 43, 58, 60], "rtauto": [17, 62], "f_equalx": 17, "hug": 17, "pp": [17, 53], "jussieu": 17, "m1": [17, 35], "m2": [17, 35], "mn": 17, "zmin": 17, "zmax": 17, "zminmax": 17, "zgt_square_simpl": 17, "zlt_square_simpl": 17, "digit": [17, 24, 29, 44, 51, 52, 71], "weaken": [17, 67], "z_lt_induct": 17, "eqdep": 17, "acc_it": 17, "acc_iter2": 17, "omegalemma": 17, "acc": [17, 27, 34, 35], "clos_refl_tran": 17, "in_dec": 17, "xor": 17, "bridg": [17, 57], "bitvector": 17, "addr": 17, "fmapintmap": 17, "coqremotebrows": 17, "e1": [17, 42, 46, 57], "e2": [17, 42, 46], "abandon": 17, "irrevers": [17, 24], "pfen": [17, 24, 77], "synthesi": [17, 24, 44], "phi": 17, "web": [17, 27, 52, 53], "field_simplify_eq": 17, "monom": 17, "constructiveepsilon": 17, "countabl": 17, "mathematician": 17, "purifi": 17, "lowercas": [17, 29, 37, 46, 52, 55], "perfum": 17, "novic": [17, 57], "reform": 17, "thirdli": 17, "gtk2": 17, "pictur": 17, "salient": [17, 24], "desmettr": [17, 24], "jacek": [17, 24], "chrz\u0105szcz": [17, 24], "nsi": 17, "orsai": [17, 24], "apr": 17, "2004": 17, "conjectur": [17, 28, 66], "0380": 17, "03ff": 17, "hebrew": [17, 29], "u05d0": 17, "05ef": 17, "2100": 17, "214f": 17, "2080": 17, "2089": 17, "2200": 17, "22ff": 17, "supplement": 17, "2a00": 17, "2aff": 17, "2300": 17, "23ff": 17, "2600": 17, "26ff": 17, "2190": 17, "21ff": 17, "2900": 17, "297f": 17, "factori": [17, 24, 54, 55, 64], "well_founded_induct": [17, 27], "true_sub": 17, "zplu": 17, "fast_integ": 17, "le_minu": [17, 72], "lt_mult_left": 17, "zarith_aux": 17, "iff_tran": 17, "someth": [17, 31, 52, 53, 54, 55, 59, 64], "fast_": 17, "new_var": 17, "omega2": 17, "zle_zmult_right2": 17, "zle_mult_simpl": 17, "zle_0_plu": 17, "zplus_assoc_l": 17, "zplus_assoc": 17, "zmult_on": 17, "zmult_1_n": 17, "zmult_assoc_l": 17, "zmult_assoc": 17, "zmult_minus_distr": 17, "zmult_zminus_distr_l": 17, "add_un_double_moins_un_xo": 17, "is_double_moins_un": 17, "rlt_monotony_rev": 17, "rlt_monotony_contra": 17, "zmult_zminus_distr_r": 17, "zcomplement": [17, 24], "freshid": 17, "decrement": [17, 54], "newdestruct": [17, 24], "newinduct": [17, 24], "contradictori": [17, 67], "rge_l": 17, "shorter": [17, 31, 35, 57, 59], "eleft": [17, 43, 67], "eright": [17, 43, 67], "esplit": [17, 43, 67], "eqt": [17, 46], "gen_constant_modul": 17, "zarith_base_modul": 17, "entier": 17, "pmult": 17, "times_sym": 17, "pmult_comm": 17, "zle_zmult_pos_right": 17, "zmult_le_compat_r": 17, "superieur": 17, "ext": [17, 24, 34], "ext2": [17, 24], "allt": [17, 24], "identityt": 17, "backquot": 17, "iso": [17, 75], "latin": [17, 29], "inz": 17, "inject_nat": 17, "zarith_bas": 17, "v7": [17, 24], "c2": [17, 46, 57, 67, 71], "stepl": [17, 64], "stepr": [17, 64], "ipattern": 17, "successor": [24, 34, 39], "ten": 24, "research": [24, 77], "briefli": [24, 27, 57], "survei": 24, "frege": 24, "centuri": 24, "discoveri": 24, "antinomi": 24, "comprehens": 24, "stratif": 24, "culmin": 24, "principia": 24, "mathematica": 24, "church": [24, 77], "howard": [24, 26, 66, 77], "isomorph": [24, 25, 46, 55, 62, 66, 67, 77], "automath": 24, "jut": 24, "landau": 24, "grundlagen": 24, "1970": 24, "saw": 24, "emerg": 24, "l\u00f6f": [24, 27, 34], "girard": [24, 77], "f_": 24, "coquand": [24, 34, 77], "1985": [24, 77], "coc": 24, "awkward": [24, 54], "1989": [24, 77], "mixtur": 24, "pioneer": 24, "1960": 24, "davi": 24, "putnam": 24, "semidecis": 24, "1965": 24, "robinson": 24, "studi": [24, 31], "convinc": 24, "realiz": [24, 25, 27, 32], "ambiti": 24, "approach": [24, 52, 53, 55, 57, 58, 67, 75], "aid": 24, "lcf": [24, 55], "milner": [24, 55, 77], "colleagu": 24, "edinburgh": 24, "moor": 24, "bishop": 24, "kleen": [24, 60], "methodologi": [24, 57], "revolutionari": 24, "paradigm": 24, "theme": [24, 52], "intellig": [24, 42], "walding": 24, "tablog": 24, "manna": 24, "tableau": 24, "undertaken": 24, "cornel": 24, "nuprl": 24, "constabl": 24, "hayashi": 24, "kyoto": 24, "lisp": 24, "feferman": 24, "grow": [24, 54, 55, 59], "scienc": [24, 77], "forese": 24, "dai": [24, 51], "hope": [24, 52], "1995": [24, 77], "g\u00e9rard": [24, 77], "huet": [24, 77], "1984": 24, "dowek": 24, "hierarch": [24, 35], "dead": [24, 64], "felti": 24, "mous": [24, 52], "widget": 24, "1991": [24, 77], "doligez": 24, "1992": [24, 77], "murthi": 24, "1993": [24, 77], "centaur": 24, "ctcoq": 24, "croap": 24, "v5": 24, "chet": 24, "reloc": 24, "driven": [24, 60], "1994": [24, 77], "mohr": [24, 27, 77], "manouri": 24, "impos": [24, 30, 34, 57], "propr": 24, "mu\u00f1oz": [24, 77], "dyckhoff": [24, 54, 62, 77], "ketonen": 24, "weyhrauch": 24, "reliev": 24, "tediou": [24, 34, 53, 57, 67], "feb": 24, "1st": [24, 27, 34, 46, 57, 59, 64, 71, 72], "phd": [24, 77], "thesi": [24, 77], "metamathemat": [24, 77], "backend": 24, "lockwood": 24, "morri": 24, "gui": [24, 52, 76], "cousineau": 24, "ancestor": [24, 53], "paulson": 24, "cambridg": [24, 77], "1983": 24, "frozen": 24, "22nd": 24, "defend": 24, "31st": 24, "19th": 24, "ch85": [24, 77], "her": 24, "dea": [24, 77], "internship": 24, "memoir": 24, "she": [24, 55], "lambo": 24, "vote": 24, "ch86b": [24, 77], "fuller": 24, "math\u00e9matiqu": 24, "informatiqu": [24, 77], "formalis\u00e9": 24, "calcul": [24, 25, 77], "ch86a": [24, 77], "16th": [24, 77], "articl": 24, "moh86": [24, 77], "quicksort": 24, "13": [24, 25, 51, 54, 57, 77], "25th": 24, "1986": [24, 77], "synthet": 24, "cmu": 24, "invit": [24, 42], "joint": 24, "confer": [24, 77], "tapsoft": 24, "87": [24, 53], "pise": 24, "1987": 24, "publish": [24, 53, 77], "hue88": [24, 77], "categor": 24, "llm3": 24, "j\u00e9r\u00f4me": 24, "chailloux": 24, "mauni": 24, "ascand": 24, "suarez": 24, "wei": 24, "v3": [24, 57], "summer": 24, "held": 24, "doctor": 24, "sml": 24, "v4": 24, "24th": 24, "exempl": 24, "knaster": 24, "tarski": 24, "terminologi": [24, 55], "gill": [24, 72], "sticki": 24, "vax": 24, "central": [24, 25], "lab": 24, "transfer": 24, "sun": 24, "person": [24, 64], "workstat": 24, "decor": [24, 29, 42], "loic": 24, "colson": 24, "6th": 24, "1988": [24, 77], "banner": 24, "avec": 24, "r\u00e9alis": 24, "synth\u00e8s": 24, "accommod": [24, 57], "2nd": [24, 34, 41, 46, 57, 67, 72, 77], "european": [24, 77], "symposium": [24, 77], "nanci": 24, "88": [24, 53, 77], "perspect": [24, 77], "commemor": [24, 77], "volum": [24, 77], "gift": [24, 77], "siromonei": [24, 77], "narasimhan": [24, 77], "scientif": [24, 77], "demonstr": [24, 54, 67], "yop": 24, "institut": [24, 27], "austin": 24, "texa": 24, "rehaul": 24, "randi": 24, "pollack": 24, "lego": 24, "luo": 24, "inter": [24, 53], "legitim": 24, "trust": [24, 33, 36, 73], "releg": 24, "puzzlement": 24, "schroeder": 24, "bernstein": 24, "octob": [24, 77], "8th": 24, "judgement": 24, "pointer": [24, 26], "spectacular": 24, "acycl": [24, 39], "insur": 24, "founded": 24, "memo": 24, "elast": 24, "spring": 24, "coq89": [24, 77], "mohrin": 24, "f\u03c9": 24, "pm89": [24, 77], "hue89": [24, 66, 77], "guid": 24, "syllabu": 24, "matur": 24, "v2": [24, 57], "ppm89": [24, 77], "cp90": [24, 34, 77], "pm93b": [24, 77], "1990": [24, 77], "workshop": [24, 77], "chalmer": [24, 77], "g\u00f6teborg": 24, "cnr": 24, "lip": [24, 77], "laboratori": 24, "\u00e9cole": 24, "sup\u00e9rieur": 24, "lyon": [24, 77], "formel": 24, "cristal": 24, "roquencourt": 24, "en": [24, 57, 64, 77], "chetan": 24, "architect": 24, "cristina": [24, 46, 67, 77], "corn": [24, 46, 67, 77], "aczel": 24, "coscoi": 24, "cr\u00e9gut": 24, "presburg": 24, "organis": 24, "judica\u00ebl": 24, "courant": 24, "nov": 24, "18th": 24, "1996": 24, "eduardo": 24, "gim\u00e9nez": [24, 77], "delahay": [24, 77], "laulh\u00e8r": 24, "4th": [24, 41, 44, 77], "1998": [24, 77], "v6": 24, "tricki": [24, 57], "cnet": 24, "lannion": 24, "1999": 24, "2001": [24, 77], "2002": [24, 77], "2003": 24, "optimis": 24, "micaela": 24, "mayero": 24, "chasl": 24, "pcoq": 24, "sop": 24, "lemm": 24, "hypertextu": 24, "electron": [24, 77], "unibo": 24, "goubault": 24, "d\u00e9mon": 24, "duprat": 24, "miquel": 24, "alvarado": 24, "franc": [24, 77], "telecom": 24, "17": [24, 25, 53, 57], "19": [24, 25, 41, 57, 77], "polylist": 24, "_and_": 24, "sum_ind": [24, 27, 71], "strength": 24, "expir": 24, "eq_nat": [24, 42], "reflexion": 24, "exchang": [24, 52, 66], "discrr": 24, "splitrmult": 24, "splitabsolu": 24, "decompos": [24, 57, 67], "lettac": 24, "schema": 24, "excess": 24, "vari": [24, 54, 58, 67, 71], "econom": [24, 77], "a0": [24, 46, 64, 67], "stuff": [24, 53, 75], "sentence_1": 24, "sentence_n": 24, "angl": 24, "trick": [24, 55, 57, 58, 72], "num1": 24, "num2": 24, "physical_dir": 24, "logical_dir": 24, "myconst": 24, "searchiso": 24, "do_makefil": 24, "coqrc": [24, 25], "exc": [24, 27], "fta": 24, "herman": 24, "geuver": 24, "freek": 24, "wiedijk": 24, "zwanenburg": 24, "henk": 24, "barendregt": [24, 77], "zfc": 24, "functions_in_zfc": 24, "simpson": 24, "sylvi": 24, "boldo": 24, "formalis": [24, 57, 77], "ctl": 24, "tctl": 24, "tempor": 24, "ctltctl": 24, "carlo": [24, 77], "luna": 24, "montevideo": 24, "railroad": 24, "railroadcross": 24, "automaton": [24, 75], "abr": 24, "pautomata": 24, "emmanuel": 24, "freund": 24, "minic": 24, "ledinot": 24, "suresn": 24, "bresenham": 24, "draw": 24, "distanc": 24, "rsa": 24, "cryptograph": 24, "embed": [24, 25, 29, 71], "14": [24, 25, 51, 57, 64], "r_sqr": 24, "rtrigo": 24, "rotat": [24, 54, 57], "rgeom": 24, "rsigma": 24, "natr": 24, "changement": 24, "expung": 24, "zsgn": 24, "wf_z": 24, "peano_dec": 24, "filliatr": [24, 77], "congruenceclosur": 24, "maplemod": 24, "mapl": 24, "zchines": 24, "submit": [24, 27], "necessit": 24, "trap": 24, "1386": 24, "1387": 24, "collid": 24, "1412": 24, "1394": 24, "seg": 24, "1404": 24, "1402": 24, "chap": 24, "sc": 24, "ntn": 24, "checkabl": 24, "nvar": 24, "numarg": 24, "projs1": 24, "projs2": 24, "unrealist": 24, "zmult": 24, "rfunction": 24, "seqseri": 24, "sup": 24, "rcomput": 24, "idem": 24, "thm": 24, "simple_tact": [24, 54], "globalis": 24, "jm": 24, "linearintuit": 24, "readm": [24, 71], "refl_eq": 24, "vanish": 24, "incompatibilit": 24, "localis": 24, "1459": 24, "1427": 24, "1437": 24, "1384": 24, "1435": 24, "1460": 24, "averag": 24, "ratio": 24, "flagship": 25, "compcert": 25, "seri": [25, 29, 35, 54, 57], "constitut": [25, 39, 55], "elementari": [25, 27, 57, 58, 71], "ltac2": [25, 35, 38, 52, 53, 54, 59, 63, 66, 71, 74], "reusabl": 25, "ecosystem": [25, 73, 77], "vocabulari": 25, "\u03b4": [25, 26, 37, 41, 57, 64, 67], "\u03b9": [25, 26, 34, 41, 55, 64], "\u03b6": [25, 26, 57], "corecurs": [25, 33, 71], "summari": [25, 46, 51, 75], "confluenc": [25, 31], "casual": [25, 57], "subpattern": [25, 54, 55], "superclass": 25, "question": [25, 34, 54, 55, 57, 60, 66], "brace": [25, 44, 52, 59, 71], "invoc": [25, 53, 54, 57, 59], "flow": 25, "helper": [25, 59], "acknowledg": 25, "bookkeep": 25, "defect": [25, 55], "repetit": [25, 54, 60], "licit": 25, "unlock": 25, "recurr": 25, "synopsi": [25, 53], "refut": [25, 57], "nonreflex": 25, "nonsymmetr": 25, "soft": [25, 72], "exactly_onc": 25, "horror": 25, "museum": 25, "interdepend": 25, "dep": [25, 51, 59], "phrase": [25, 71], "man": [25, 51], "repl": [25, 26, 35, 52, 53, 54, 59, 66], "rocqchk": [25, 53, 64, 73], "emphasi": 25, "verbatim": 25, "miscellan": 25, "coqid": [25, 52], "beta1": 25, "beta2": 25, "beta3": 25, "6beta1": 25, "5beta1": 25, "5beta2": 25, "5beta3": 25, "5pl1": 25, "5pl2": 25, "5pl3": 25, "4beta": 25, "4beta2": 25, "1beta": 25, "1gamma": 25, "0beta": 25, "bibliographi": 25, "licens": [25, 50], "forth": [25, 50, 57, 60], "v1": [25, 50, 57], "opencont": [25, 50], "org": [25, 50, 64, 75, 77], "openpub": [25, 50], "elect": [25, 50], "hereaft": [26, 30, 55, 57], "bar81": [26, 66, 77], "\u03bbx": [26, 31, 34], "cfc58": [26, 77], "db72": [26, 77], "how80": [26, 66, 77], "\u03b3_1": [26, 34], "\u03b3_2": 26, "judgment": [26, 35, 59, 77], "hspace": [26, 31, 34, 35, 38], "3em": [26, 31, 34, 35, 38], "def": [26, 35, 67], "ax": [26, 44, 67], "const": [26, 34, 37, 54], "lam": [26, 34], "42": 26, "\u03b3_i": [26, 34, 35, 38], "\u03b3_c": [26, 34, 35, 38], "\u03b3_p": [26, 34, 35], "\u03b3_": [26, 34], "arr": [26, 34], "t_": [26, 34], "c_k": [26, 34], "n_k": 26, "w_1": [26, 31], "w_m": [26, 31], "w_i": 26, "a_i": [26, 34], "a_1": [26, 34, 35, 38], "a_l": 26, "conv": 26, "x_k": [26, 34], "t_k": 26, "t_0": 26, "u_0": 26, "triangleright": [26, 31], "t_2": [26, 31, 34, 35], "u_1": [26, 31, 34, 39], "u_m": 26, "u_i": [26, 34], "prodimp": 26, "exset": [26, 34], "set1": 26, "set2": 26, "95": [27, 60, 77], "85": [27, 53, 71, 77], "80": [27, 71], "appeal": 27, "conj": [27, 57, 58, 66, 71], "proj1": [27, 66], "proj2": 27, "or_introl": [27, 34, 40, 46, 58, 67], "or_intror": [27, 34, 40, 46, 58, 67], "ex_intro": [27, 37, 41, 57, 60, 66], "ex_ind": 27, "ex_sind": 27, "ex_intro2": 27, "ex2_ind": 27, "ex2_sind": 27, "eq_sym": [27, 40, 44], "eq_tran": [27, 43, 59], "not_eq_sym": 27, "eq_rec_r": 27, "f_equal2": 27, "f_equal3": 27, "f_equal4": 27, "f_equal5": 27, "a3": 27, "y2": [27, 42, 59], "x3": [27, 71, 72], "y3": 27, "sumor": [27, 71], "unit_rect": 27, "unit_ind": 27, "unit_rec": 27, "unit_sind": 27, "bool_rect": [27, 40], "bool_ind": [27, 40], "bool_rec": [27, 40], "bool_sind": [27, 40], "nat_ind": [27, 34, 58], "nat_rec": [27, 34, 44, 67], "nat_sind": [27, 34], "option_rect": [27, 34, 58], "option_ind": [27, 34, 58], "option_rec": [27, 34, 58], "option_sind": [27, 34, 58], "disjoint": [27, 67], "inl": [27, 40, 57], "sum_rect": [27, 71], "sum_rec": [27, 71], "sum_sind": [27, 71], "prod_rect": [27, 34], "prod_ind": [27, 34], "prod_rec": [27, 34], "prod_sind": [27, 34], "justif": 27, "sig_rect": 27, "sig_ind": 27, "sig_rec": 27, "sig_sind": 27, "exist2": 27, "sig2_rect": 27, "sig2_ind": 27, "sig2_rec": 27, "sig2_sind": 27, "sigt_rect": 27, "sigt_ind": 27, "sigt_rec": 27, "sigt_sind": 27, "projections2": 27, "projt2": 27, "existt2": 27, "sigt2_rect": 27, "sigt2_ind": 27, "sigt2_rec": 27, "sigt2_sind": 27, "sumbool_rect": 27, "sumbool_ind": 27, "sumbool_rec": 27, "sumbool_sind": 27, "inleft": 27, "inright": 27, "sumor_rect": 27, "sumor_ind": 27, "sumor_rec": 27, "sumor_sind": 27, "choice2": 27, "bool_choic": [27, 59], "false_rec": 27, "absurd_set": 27, "and_rect2": 27, "predecessor": 27, "nat_scop": [27, 57, 71], "eq_": 27, "pred_sn": 27, "eq_add_": 27, "not_eq_": 27, "issucc": 27, "o_": [27, 37], "n_sn": 27, "plus_n_o": [27, 59], "plus_n_sm": [27, 59], "mult_n_o": 27, "mult_n_sm": [27, 59], "le_n": [27, 57, 67], "le_": 27, "137": 27, "le_ind": [27, 46, 67], "le_sind": [27, 46, 67], "nat_cas": [27, 67], "nat_double_ind": 27, "acc_intro": 27, "acc_inv": 27, "rwf": 27, "well_founded_ind": 27, "fix_f": 27, "f_ext": 27, "fix_f_eq": 27, "implicit_bind": [28, 44], "generalizing_bind": [28, 44], "pattern0": [28, 40], "twofold": 28, "pi_": 28, "term_appl": [28, 29, 37, 44, 64], "term1": [28, 29, 37, 44, 57], "qualid_annot": [28, 29, 44], "assumption_token": [28, 59], "postul": 28, "r_s_inv": 28, "ital": [29, 53, 66, 75], "term100": [29, 40, 46], "popul": 29, "first_lett": 29, "subsequent_lett": 29, "unicode_lett": 29, "unicode_id_part": 29, "gothic": 29, "arab": 29, "georgian": 29, "hangul": 29, "hiragana": 29, "katakana": 29, "ideograph": 29, "subscript": 29, "0x": 29, "1_000_000": 29, "1000000": 29, "decnat": 29, "hexnat": 29, "hexdigit": 29, "bignat": [29, 71], "0xap12": 29, "term_scop": [29, 71], "100000": 29, "of_num_uint": [29, 59, 71], "1000000000000000000000000000000000": 29, "1000000000000000000000000000000001": 29, "_h": 29, "_ho": 29, "contrastingli": 29, "term_cast": [29, 32], "term_explicit": [29, 44], "term_project": [29, 37], "term0": [29, 37, 55, 58, 71], "number_or_str": [29, 71], "term_evar": [29, 43], "term_match": [29, 40], "term_record": [29, 37], "term_gener": [29, 44], "term_ltac": [29, 54], "one_typ": [29, 58, 64], "undecid": [29, 30], "query_command": [29, 59, 64], "compound": [29, 54], "uppercas": [29, 55], "blue": [29, 52], "grai": [29, 52], "boldfac": 29, "attr_valu": 29, "setting_nam": [29, 51], "exclus": [29, 57], "wide": [29, 38, 52, 53, 58], "infin": [30, 71], "gimenez95": [30, 77], "gimenez98": [30, 77], "gimenezcasteran05": [30, 77], "inductive_definit": [30, 34], "bypass_check": [30, 32, 34, 59], "eqst": 30, "stori": 30, "copattern": 30, "agda": 30, "eqst_hd": 30, "eqst_tl": 30, "stream_eta": 30, "stream_ext": 30, "cofix_bodi": 30, "cofix_definit": [30, 38], "decl_not": [30, 34, 40, 71], "admiss": [30, 38], "unguard": 30, "wherev": [31, 53, 54, 67, 71], "contant": 31, "triangleright_\u03b2": 31, "enjoi": [31, 34, 37, 57], "great": [31, 64], "triangleright_\u03b4": [31, 35], "pm93a": [31, 77], "wer94": [31, 77], "triangleright_\u03b6": 31, "deliber": [31, 55], "triangleright_\u03b7": 31, "m0": [31, 42, 67], "u_2": 31, "v_m": 31, "destructuring_let": [32, 46], "thm_token": [32, 59], "forgot": [32, 71], "primarili": [32, 34, 58, 66], "heart": 33, "fear": 33, "_ind": [34, 35, 40, 71, 72], "_sind": [34, 35, 40, 71], "thereaft": [34, 59], "even_0": 34, "even_ss": 34, "even_ind": [34, 67], "even_sind": [34, 67], "list2": 34, "nil2": 34, "cons2": 34, "list2_rect": 34, "list2_ind": 34, "list2_rec": 34, "list2_sind": 34, "listw": 34, "nilw": 34, "consw": 34, "bigger": 34, "list3": 34, "nil3": 34, "cons3": 34, "list3_rect": 34, "list3_ind": 34, "list3_rec": 34, "list3_sind": 34, "acc_in": 34, "acc_ind": 34, "acc_rec": 34, "acc_sind": 34, "leaf": [34, 67], "tree_rect": [34, 67, 72], "tree_ind": [34, 67, 72], "tree_rec": [34, 67, 72], "tree_sind": [34, 67, 72], "forest_rect": [34, 67, 72], "forest_ind": [34, 67, 72], "forest_rec": [34, 67, 72], "forest_sind": [34, 67, 72], "eight": 34, "fix_decl": [34, 57], "fix_definit": [34, 38, 72], "wrongplu": 34, "asid": [34, 64, 66, 67], "deeper": [34, 46], "mod2": [34, 35], "tree_siz": [34, 72], "forest_s": [34, 72], "a_p": 34, "rcl": 34, "even_o": 34, "even_": 34, "odd_": 34, "odd_ind": [34, 67], "odd_sind": [34, 67], "t_q": 34, "x_j": 34, "t_i": 34, "a_r": 34, "p_r": [34, 35], "c_n": [34, 35], "a_j": [34, 35], "b_1": 34, "b_r": 34, "u_": 34, "b_j": 34, "nattre": 34, "natnod": 34, "nattree_rect": 34, "nattree_ind": 34, "nattree_rec": 34, "nattree_sind": 34, "a_k": [34, 35], "i_j": [34, 35], "s_j": 34, "exprop": 34, "exp_intro": 34, "exprop_ind": 34, "exprop_sind": 34, "exs_intro": 34, "extyp": 34, "ext_intro": 34, "extype_rect": 34, "extype_ind": 34, "extype_rec": 34, "extype_sind": 34, "not_i_i": 34, "not_i": 34, "i_not_i": 34, "satifi": 34, "infinite_loop": 34, "harm": 34, "introa": 34, "\u03bbz": 34, "f_inj": 34, "hf": [34, 51], "powerset": 34, "diagon": 34, "fd": 34, "a_": 34, "p_p": 34, "p_m": 34, "q_r": 34, "q_l": 34, "p_l": 34, "p_u": 34, "q_u": 34, "leq": [34, 42, 57], "s_k": 34, "equiconsist": 34, "prevail": 34, "set_p": 34, "recomput": [34, 53], "lose": [34, 67, 71], "delic": 34, "coq92": [34, 77], "1p_1": 34, "np_n": 34, "f_n": 34, "f_i": 34, "i1": [34, 71], "ip_i": 34, "s_2": [34, 35], "complic": [34, 43, 46, 55], "harmless": [34, 51], "moral": 34, "or_ind": [34, 40], "or_sind": [34, 40], "proof_irrelev": 34, "paradox": [34, 77], "eqnarrai": 34, "rl": 34, "c_": 34, "f_l": 34, "a_m": 34, "triangleright_\u03b9": 34, "\u03b3_n": 34, "a_n": [34, 38], "\u03bbp": 34, "gimenez94": [34, 77], "k_1": 34, "k_n": 34, "k_i": 34, "y_1": [34, 38], "y_": 34, "b_": 34, "f_j": 34, "k_j": 34, "x_m": 34, "t_m": 34, "i_l": 34, "i_p": 34, "c_q": 34, "y_m": 34, "b_m": 34, "g_i": 34, "b_i": 34, "y_j": 34, "lgth": 34, "sizet": 34, "sizef": 34, "f0": [34, 57, 67], "f_k": 34, "massiv": 35, "module_bind": 35, "of_module_typ": 35, "module_expr_inl": 35, "module_type_inl": 35, "module_typ": 35, "functor_app_annot": 35, "module_expr_atom": 35, "definin": 35, "t_rect": [35, 71], "t_rec": [35, 71], "t_sind": [35, 71], "dirpath": [35, 51, 59], "sake": [35, 55, 66, 71], "simplic": [35, 54], "hasn": 35, "shortest": 35, "weval": 35, "s_3": 35, "WITH": 35, "e_i": 35, "e_n": 35, "mod1": [35, 51], "alias1": 35, "alias2": 35, "type1": 35, "type2": 35, "mt": 35, "manifestli": 35, "msub": 35, "\u03c3": [35, 67], "_i": [35, 71], "_1": 35, "_m": 35, "ind1": 35, "ind2": 35, "c_m": 35, "indp1": 35, "i_i": 35, "indp2": 35, "excerpt": 36, "primint63": [36, 59, 71], "int63_typ": [36, 59], "uint63_scop": [36, 71], "sint63_scop": 36, "int63_eq": [36, 59], "eqb_correct": 36, "uint63axiom": 36, "one_minus_one_is_zero": 36, "despit": [36, 57], "of_int64": 36, "float64_typ": 36, "float64_mul": 36, "float_scop": 36, "mul_spec": 36, "prim2sf": 36, "sf64mul": 36, "compli": 36, "extrocamlfloat": 36, "float64": 36, "of_float": 36, "x1p": 36, "array_typ": 36, "array_get": 36, "array_set": 36, "get_set_sam": 36, "get_set_oth": 36, "extrocamlparrai": 36, "operation": 36, "cf07": [36, 77], "cell": 36, "immut": 36, "primstr": [36, 71], "string_typ": 36, "char63": 36, "string_length": 36, "string_get": 36, "extrocamlpstr": 36, "pstring": 36, "record_field": [37, 42], "field_spec": 37, "constrast": 37, "npo": 37, "rat": 37, "mkrat": 37, "rat_bottom_nonzero": 37, "rat_irreduc": 37, "lowest": [37, 54], "myrecord": 37, "myfield": 37, "varnam": 37, "myclass": 37, "myfield2": 37, "fieldnam": 37, "one_two_ir": 37, "gloss": 37, "gett": 37, "inst": 37, "absent": [37, 59], "build_": 37, "reconstruct": [37, 46], "desugar": 37, "p2": [37, 57, 67], "foo_subproof": 38, "y_n": 38, "prune": [38, 57], "universe_expr": 39, "coq86": [39, 77], "\u2115": 39, "u_n": 39, "violat": [39, 66], "degener": [40, 57], "freshnamespac": 40, "reflectt": [40, 57], "reflectf": 40, "forbid": 40, "problemat": [40, 55], "my_nat": 40, "my_o": 40, "my_": 40, "case_item": 40, "pattern10": 40, "pattern1": 40, "scope_kei": [40, 55, 59, 64, 71], "subcas": [40, 75], "bool_cas": 40, "arg_spec": 41, "args_modifi": 41, "argument_spec": 41, "implict": 41, "plus_fct": 41, "_f": [41, 72], "mybool_scop": 41, "_mybool_scop": 41, "mybool": 41, "fcomp": 41, "b2n": [41, 59], "mt13": [42, 77], "breviti": [42, 58, 66], "gznd11": [42, 77], "disregard": 42, "disembodi": 42, "some_const": 42, "other_const": 42, "prf_equiv": 42, "is_law": 42, "eq_nat_equiv": 42, "nat_setoid": 42, "build_setoid": 42, "is_law_": 42, "cmp": 42, "class_of": 42, "the_cmp": 42, "simplist": 42, "amend": 42, "nat_eq": 42, "nat_eqcl": 42, "nat_eqti": 42, "pair_eq": 42, "pair_eqcl": 42, "pair_eqti": 42, "nat_l": 42, "nat_lecl": 42, "nat_leti": 42, "And": [42, 51, 53, 54, 71], "pair_l": 42, "pair_lecl": 42, "pair_leti": 42, "mixin": 42, "eq_class": 42, "le_class": 42, "_pack": 42, "to_eq": 42, "to_l": 42, "lele_eq": 42, "instat": 42, "test_algebra": 42, "test_algebraic2": 42, "l1": [42, 54], "l2": [42, 54], "nat_leq_compat": 42, "nat_leqmx": 42, "pair_leq_compat": 42, "pair_leqmx": 42, "add_instance_attempt": 42, "nat_leqti": 42, "pair_leqti": 42, "phantom": 42, "phantom_rect": 42, "phantom_ind": 42, "phantom_rec": 42, "phantom_sind": 42, "err": [42, 55], "is_not_an_eq_typ": 42, "is_not_an_le_typ": 42, "is_not_the_right_mixin": 42, "e0": [42, 46, 72], "le0": 42, "ce": 42, "s0": [43, 46], "companion": 43, "uninstanti": [43, 44, 54, 58, 67], "eintro": [43, 58], "poorli": [43, 54], "tacexpr": 43, "anywher": [43, 58, 75], "resort": [43, 52, 54, 55, 67], "reinfer": 44, "eq0_le0": 44, "cumbersom": [44, 55], "reproduc": 44, "reserv_list": 44, "simple_reserv": 44, "listdef": [44, 54, 57, 58, 60, 64, 71, 72], "cons_inj_nat": 44, "cons_inj_bool": 44, "typeclass_constraint": 44, "nat_op": 44, "hnat": 44, "ident\u2081": 46, "ident\u2099": 46, "dep_ret_typ": 46, "deconstruct": 46, "deep_tupl": 46, "synth": [46, 59], "synthesiz": 46, "cheapli": 46, "reflt": 46, "eqt_rect": 46, "eqt_ind": 46, "eqt_rec": 46, "eqt_sind": 46, "emphas": 46, "misspel": [46, 59], "is_zero": 46, "71": 46, "72": 46, "_x": [46, 57], "toggl": [46, 52], "basicmatch": 46, "examin": [46, 52, 54, 66, 67, 71], "superposit": 46, "lef": 46, "ith": 46, "superpos": 46, "filter_2_4": 46, "filter_some_square_corn": 46, "listn": 46, "niln": 46, "consn": 46, "listn_rect": 46, "listn_ind": 46, "listn_rec": 46, "listn_sind": 46, "qr": 46, "recal": [46, 55, 64], "b0": 46, "false_rect": 46, "buildlist": 46, "leo": [46, 67], "caught": [46, 54, 55], "l0": [46, 54], "somehow": 46, "sought": 46, "i_rect": [46, 71], "i_ind": [46, 71], "i_rec": [46, 71], "i_sind": [46, 71], "coqtail": [51, 53, 66], "toto": 51, "pathnam": [51, 53], "reload": [51, 52, 59], "prepend": [51, 53, 66], "rocqpath": [51, 53], "rocq_color": [51, 66], "ls_color": 51, "ansi": 51, "240": 51, "underlin": [51, 52, 66], "rgb": 51, "space_overhead": 51, "120": [51, 71], "minor_heap_s": 51, "32mword": 51, "256mb": 51, "128mb": 51, "cmo": [51, 59], "_darc": 51, "ext4": 51, "255": 51, "ntf": 51, "and_darc": 51, "resourc": 51, "intention": 51, "w\u2081": 51, "w\u2099": 51, "slave": 51, "ident0": 51, "ident1": 51, "filteropt": 51, "googl": [51, 53], "1cvaclvffya5r": 51, "phyumn5ooqtymh4h6i0nsskchnaysu": 51, "durat": 51, "rocq_profile_compon": 51, "perfetto": 51, "compress": [51, 53], "subtim": 51, "appart": 51, "total": [51, 53, 54], "required_vo": 51, "2642": 51, "fn": 51, "overal": [51, 54, 64, 75], "forg": 51, "secur": 51, "taint": 51, "norec": 51, "backslash": 51, "thumb": [51, 67], "disk": [51, 52, 53, 66], "attack": 51, "scratch": 52, "screenshot": [52, 66], "fermat": 52, "keystrok": 52, "reopen": 52, "backspac": 52, "uncom": 52, "interv": 52, "abruptli": 52, "crashrocqid": 52, "unnamed_rocqscript_": 52, "toolbar": 52, "keyboard": [52, 59], "wsl": 52, "orang": 52, "unproven": [52, 58, 66], "pink": 52, "figur": [52, 57], "undon": 52, "ribbon": 52, "schemat": [52, 57], "unprocess": 52, "await": 52, "perhap": [52, 53, 58], "sent": 52, "granular": [52, 55], "intervent": 52, "quirk": 52, "reprocess": [52, 54], "haven": [52, 54], "defer": [52, 55, 57], "shade": 52, "nice": [52, 57, 67, 75], "pane": 52, "unmodifi": 52, "devot": [52, 57], "charset": [52, 75], "micro": 52, "ini": 52, "css": [52, 75], "nameofthem": 52, "gtk_theme": 52, "internet": 52, "firefox": 52, "checkbox": 52, "usernam": 52, "appdata": 52, "press": [52, 77], "overwrit": [52, 64, 66], "gtk_accel_path": 52, "primari": [52, 54], "f4": 52, "semicolon": [52, 53, 57], "antialias": 52, "gdk_use_xft": 52, "builtin": 52, "\u03c0": 52, "suffic": [52, 57], "blob": 52, "default_bindings_src": 52, "file1": [52, 53], "file2": [52, 53], "filen": 52, "feel": 52, "jfehrl": 52, "email": 52, "my_tac": 52, "dark": 52, "slider": 52, "f8": 52, "idl": 52, "my": [52, 53, 57], "value_tact": [52, 54, 64], "f9": 52, "f10": 52, "f11": 52, "asymc": 52, "16069": 52, "mind": 52, "387": 52, "alltact": 52, "clipboard": 52, "genarg": 52, "tacvalu": 52, "secondari": [52, 53], "gotten": 52, "territori": 52, "easiest": 53, "difficulti": 53, "repo": 53, "readili": 53, "interchang": [53, 66], "proofgener": 53, "spread": 53, "seamlessli": 53, "closest": 53, "notepad": 53, "invisibli": 53, "vi": 53, "mypackag": 53, "ala": 53, "coqproject": 53, "jef": 53, "myproj": 53, "basenam": 53, "filesystem": [53, 59], "regener": 53, "shouldn": [53, 54, 75], "therein": 53, "workaround": [53, 54, 55, 60], "metadata": [53, 59], "mycod": 53, "mlg": [53, 59], "bazaux": 53, "qux_plugin": 53, "expert": 53, "knowntarget": 53, "stuff2": 53, "knownfil": 53, "submak": 53, "rebuilt": 53, "default_go": 53, "makecmdgo": 53, "ifeq": 53, "orphan": 53, "orphan_foo_bar": 53, "yojson": 53, "ocamlwarn": 53, "coq_src_subdir": 53, "cm": 53, "unicoq": 53, "coqextraflag": 53, "coqchkextraflag": 53, "coqdocextraflag": 53, "rocqruntimelib": 53, "echo": 53, "cp": 53, "thisextrafil": 53, "met": 53, "archclean": 53, "coq_vers": 53, "coqmakefile_vers": 53, "alldfil": 53, "myfil": 53, "mygeneratedfil": 53, "vofil": 53, "globfil": 53, "cmofil": 53, "cmxfile": 53, "ofil": 53, "cmafil": 53, "cmxafil": 53, "cmifil": 53, "cmxsfile": 53, "camlc": 53, "camloptc": 53, "coqdebug": 53, "ocamllib": 53, "mac": [53, 60], "vfile": 53, "395448": 53, "ko": 53, "45184": 53, "slowest": 53, "fastest": 53, "tgt": 53, "52": 53, "sy": 53, "394648": 53, "56980": 53, "0m00": 53, "biggest": 53, "subsecond": 53, "nois": 53, "394700": 53, "37": [53, 77], "337720": 53, "1850": 53, "00": 53, "592": 53, "69": [53, 71], "04": 53, "56772": 53, "337876": 53, "89": [53, 77], "74": 53, "26": [53, 54, 77], "157": 53, "sec": [53, 54, 64], "128u": 53, "028": 53, "27": [53, 54], "68": 53, "vm_c": 53, "foo0": [53, 55], "153": 53, "136u": 53, "019": 53, "163": [53, 77], "208": 53, "foo1": 53, "239": 53, "236u": 53, "time1": 53, "time2": 53, "time3": 53, "time_of_pretty_build_fil": 53, "0m04": 53, "0m03": 53, "66": [53, 57, 77], "96": 53, "069": 53, "192": 53, "47": 53, "126": 53, "026": 53, "027": 53, "068": 53, "nati": 53, "231": 53, "836": 53, "60": [53, 54], "97": [53, 54, 77], "gzip": 53, "quoted_str": 53, "unquoted_str": 53, "pkg": [53, 75], "stanza": 53, "module_prefix": 53, "opam_packag": 53, "ordered_set_lang": 53, "ocaml_librari": 53, "coq_flag": 53, "include_subdir": 53, "equations_plugin": 53, "public_nam": 53, "33": 53, "cc": [53, 77], "g_equat": 53, "iddec": 53, "nocycl": 53, "upfront": 53, "impract": 53, "chose": 53, "ni": 53, "my_toplevel": 53, "start_coq": 53, "coqtop_toplevel": 53, "metaprogram": 54, "rosetta": 54, "stone": 54, "anytim": 54, "hindranc": 54, "del00": [54, 77], "reduce_and_try_to_solv": 54, "destruct_bool_and_rewrit": 54, "ingredi": 54, "achil": 54, "heel": 54, "growth": 54, "prone": [54, 57], "intric": [54, 55], "modern": 54, "subexpress": [54, 58, 71], "ltac_expr2": [54, 66], "ltac_expr4": 54, "for_each_go": [54, 55, 71], "l3_tactic": [54, 66], "ltac_expr1": [54, 66], "l2_tactic": 54, "tactic_valu": 54, "tactic_arg": 54, "l1_tactic": 54, "syn_valu": 54, "tactic_atom": 54, "n2": 54, "let_claus": 54, "goal_selector": 54, "8481": 54, "range_selector": 54, "subpart": 54, "retri": 54, "expr1": 54, "goal_tact": 54, "1a": 54, "1b": 54, "myfirst": 54, "tactic_list_sep": 54, "tacl": 54, "unexpectedli": 54, "21": [54, 64], "pertain": 54, "unpredict": 54, "match_kei": 54, "match_pattern": 54, "cpattern": [54, 55], "goal_pattern": 54, "match_hyp": 54, "aesthet": 54, "h0": [54, 55, 58, 62, 64, 66, 67], "pr_numgoal": 54, "nouniv": 54, "scan": 54, "unbox": 54, "elaps": 54, "innermost": [54, 71], "timer": 54, "time_constr1": 54, "eval_earli": 54, "ret": 54, "ran": 54, "tacdef_bodi": 54, "card_nat": 54, "hz": 54, "craft": [54, 57], "perm": 54, "perm_refl": 54, "perm_con": 54, "perm_append": 54, "perm_tran": 54, "perm_ind": 54, "perm_sind": 54, "perm_aux": 54, "newn": 54, "solve_perm": 54, "sequent": [54, 57, 58, 62, 77], "calculi": [54, 62, 77], "ljt": [54, 62], "roi": [54, 62, 77], "dyc92": [54, 62, 77], "my_tauto": 54, "falsiti": 54, "my_tauto_ex1": 54, "my_tauto_ex2": 54, "trickier": 54, "dc95": [54, 77], "iso_axiom": 54, "ass": 54, "cur": 54, "di": [54, 77], "p_unit": 54, "ar_unit": 54, "al_unit": 54, "simplify_typ": 54, "ty": [54, 57], "simplify_type_eq": 54, "len": 54, "trm": 54, "assoc": 54, "solve_type_eq": 54, "compare_structur": 54, "solve_iso": 54, "judg": 54, "solve_iso_ex1": 54, "solve_iso_ex2": 54, "odditi": 54, "consol": 54, "imped": 54, "degrad": 54, "slowli": 54, "cutoff": 54, "percentag": 54, "accumul": 54, "mytauto": 54, "044": 54, "with_uniform_flag": 54, "083": 54, "tauto_gen": 54, "tauto_intuitionist": 54, "t_tauto_intuit": 54, "081": 54, "is_conj": 54, "28756": 54, "045": 54, "002": [54, 64], "28": [54, 77], "013": 54, "infoh": 54, "mtac": 55, "rtac": 55, "hindlei": [55, 77], "dm82": [55, 77], "sweet": 55, "spot": 55, "pl": 55, "lineag": 55, "stick": 55, "somewhat": [55, 64, 71], "think": [55, 66], "ltac2_ltac1": 55, "ltac2_typ": 55, "ltac2_type2": 55, "ltac2_type1": 55, "ltac2_type0": 55, "ltac2_typevar": 55, "exn": 55, "tac2typ_def": 55, "tac2typ_prm": 55, "tac2typ_knd": 55, "tac2alg_constructor": 55, "tac2rec_field": 55, "positiveint": 55, "of_str": 55, "fragment": [55, 57, 71], "ltac2_expr": [55, 71], "ltac2_expr5": 55, "tac2pat0": 55, "ltac2_let_claus": 55, "ltac2_expr3": 55, "ltac2_expr2": 55, "ltac2_expr1": 55, "ltac2_expr0": 55, "tac2rec_fieldexpr": 55, "ltac2_atom": 55, "tac2rec_fieldpat": 55, "tac2pat1": 55, "lident": 55, "tac2def_bodi": 55, "oldf": 55, "clearer": 55, "\u03b2v": 55, "v\u2080": 55, "x\u2080": 55, "x\u1d62": 55, "v\u1d62": 55, "departur": 55, "ambient": 55, "proofview": 55, "recover": 55, "panic": 55, "destroi": 55, "codifi": [55, 77], "incred": 55, "ltac1_expr_in_env": 55, "ltac1val": 55, "varref": 55, "snippet": [55, 75], "glob_constr": 55, "myconstr": 55, "suddenli": 55, "rug": 55, "duti": 55, "concis": [55, 57], "ltac2_match_kei": 55, "ltac2_match_list": 55, "ltac2_match_rul": 55, "ltac2_match_pattern": 55, "msg": 55, "succinct": 55, "tactic_failur": 55, "of_constr": 55, "goal_match_list": 55, "gmatch_rul": 55, "gmatch_pattern": 55, "gmatch_hyp_pattern": 55, "ltac2_branch": 55, "atomic_tac2pat": 55, "ltac2_scop": [55, 74], "wors": 55, "ex1": 55, "metasyntact": 55, "list1": [55, 71], "print_list": 55, "list0": [55, 71], "insofar": 55, "intros_until": 55, "delta_reduct": [55, 64], "lia_ltac1": 55, "simplest": [55, 57], "plainli": 55, "ltac2_intropattern": 55, "ltac2_simple_intropattern": 55, "ident_or_anti": 55, "ltac2_destruction_arg": 55, "induction_arg": [55, 67], "q_with_bind": 55, "ltac2_bind": 55, "ltac2_reduct": 55, "refglob": 55, "ltac2_claus": 55, "q_occurr": 55, "ltac2_induction_claus": 55, "induction_claus": [55, 67], "ltac2_convers": 55, "q_orient": 55, "ltac2_oriented_rewrit": 55, "oriented_rewrit": [55, 64], "dispatch": 55, "ltac2_for_each_go": 55, "hintbas": [55, 60], "move_loc": 55, "alias_definit": [55, 58], "nonsimple_intropattern": 55, "ltac2_simple_intropattern_clos": 55, "ltac2_or_and_intropattern": 55, "ltac2_equality_intropattern": 55, "ltac2_naming_intropattern": 55, "ltac2_constr_with_bind": 55, "ltac2_simple_bind": 55, "qhyp": 55, "ltac2_red_flag": 55, "ltac2_in_claus": 55, "ltac2_occs_num": 55, "ltac2_occ": 55, "ltac2_concl_occ": 55, "ltac2_hypident_occ": 55, "ltac2_hypid": 55, "ltac2_as_or_and_ipat": 55, "ltac2_eqn_ipat": 55, "q_rewrit": 55, "ltac2_rewrit": 55, "ltac2_goal_tact": 55, "ltac2_as_nam": 55, "ltac2_by_tact": 55, "ltac2_as_ipat": 55, "replace_with": 55, "daili": 55, "eagerli": 55, "am": 55, "add1": [55, 64], "to_constr": 55, "ow": 55, "bliss": 55, "walk": [55, 71], "dialogu": 55, "site": 55, "blah": 55, "bar0": 55, "trickeri": 55, "summaris": 57, "accustom": 57, "worth": 57, "blanqui": 57, "quasi": 57, "congr": 57, "adjac": 57, "ssrsyntax": 57, "interfer": [57, 71], "sumxxx": 57, "boolean_if_scop": 57, "ssrrewrit": 57, "ssrident": 57, "_xxx_": 57, "annoi": 57, "p_xy": 57, "hp": [57, 67], "legibl": 57, "\u03c1": 57, "replic": 57, "b1": [57, 59], "b2": [57, 59], "suppress": [57, 75], "all_nul": 57, "prenex": 57, "n_i": 57, "ubiquit": 57, "incant": 57, "tx": 57, "resembl": 57, "occ_switch": 57, "aggress": 57, "pairwis": 57, "t0": 57, "largest": [57, 71], "uj": 57, "unkei": 57, "nm": 57, "sizabl": 57, "menial": 57, "instantli": 57, "undermin": 57, "dj": 57, "ej": 57, "tj": 57, "fk": 57, "xl": 57, "ym": 57, "bm": 57, "constantli": 57, "shuffl": 57, "isol": 57, "unavoid": 57, "subnk": 57, "le_n_m": 57, "le_m_n": 57, "le_n_p": 57, "encapsul": 57, "ihn": [57, 66, 67], "lt_n_m": 57, "pile": 57, "pop": [57, 71], "ihm": 57, "lt_tran": 57, "y_gt1": 57, "y_lt2": 57, "hyp0": 57, "y_lt3": 57, "ssrautoprop": 57, "d_item": 57, "clear_switch": 57, "unintend": 57, "hfg": 57, "trans_equ": 57, "ab": [57, 67, 71], "i_item": 57, "i_pattern": 57, "s_item": 57, "i_view": 57, "i_block": 57, "myop": 57, "ssripat_scop": 57, "ssripat": 57, "_a_": 57, "_b_": 57, "_hyp_": 57, "occ": 57, "eqp": 57, "scene": 57, "pointless": 57, "decomposit": 57, "xa": 57, "xb": 57, "_n_": 57, "pinpoint": 57, "pad": 57, "lastcas": 57, "add_last": 57, "last_spec": 57, "lastseq0": 57, "lastadd": 57, "last_spec_rect": 57, "last_spec_ind": 57, "last_spec_rec": 57, "last_spec_sind": 57, "lastp": 57, "abezoutn": 57, "k1": 57, "k2": 57, "muln0": 57, "gexpn0": 57, "mulg1": 57, "orderg1": 57, "eqn_mul1": 57, "andp": 57, "dvdn_tran": 57, "orderg": 57, "dvdn_mull": 57, "orderg_dvd": 57, "mulgi": 57, "gexpn1": 57, "gexpn_add": 57, "leq_add_sub": 57, "dvdn_subr": 57, "dvdn_mulr": 57, "muln1": 57, "dvdn1": 57, "mul1g": 57, "mylemma": 57, "my_lemma1": 57, "my_lemma2": 57, "dispos": 57, "analogu": 57, "g_1": 57, "g_n": 57, "g_": 57, "bmod": 57, "tactic1": 57, "tacticm": 57, "tacticn": 57, "c3": [57, 71], "c4": 57, "test_ind": 57, "test_sind": 57, "mult_comm": 57, "def_n": 57, "c_pattern": 57, "textbook": 57, "ssr_binder": 57, "h23": 57, "addnc": 57, "mczifi": 57, "ssrnat": 57, "ppx_deriv": 57, "lexer_config": 57, "menhirlib": 57, "shim": 57, "front": [57, 59], "ord_rect": 57, "ord_ind": 57, "ord_rec": 57, "ord_sind": 57, "rew_iff_rev": 57, "mkrel": 57, "erefl": 57, "uninterest": 57, "pm": 57, "orthogon": 57, "demand": 57, "abridg": 57, "wlog_stat": 57, "pain": 57, "quo_rem_un": 57, "q3": 57, "q4": 57, "r3": 57, "r4": 57, "leqp": 57, "gen": 57, "leqn": 57, "this_scop": 57, "ngt0": 57, "ltnv": 57, "nge0": 57, "neq0": 57, "addx": 57, "twoi": 57, "rstep": 57, "r_prefix": 57, "r_item": 57, "r_pattern": 57, "my_def": 57, "term2": 57, "ddoubl": 57, "ssroldrewritegoalsord": 57, "grasp": 57, "candid": [57, 58, 64, 72], "surgic": 57, "pen": 57, "my_eq": 57, "addn0": 57, "addn": 57, "addsnn": 57, "addnca": 57, "hrec": 57, "multirul": 57, "eqab": 57, "eqac": 57, "multi1": 57, "eqd0": 57, "multi2": 57, "anew": 57, "eq_adda_b": 57, "eq_adda_c": 57, "eqb0": 57, "multi3": 57, "multi1_rev": 57, "eqba": 57, "eqca": 57, "mult1_rev": 57, "medium": 57, "double": 57, "doublen": 57, "add_mul": 57, "muln": 57, "mule": 57, "mul_exp": 57, "expn": 57, "exp": 57, "oddn": 57, "naiv": 57, "trece": 57, "anywai": 57, "indetermin": 57, "\u03b7\u03b6": 57, "fubar": 57, "insub": 57, "idp": 57, "insubt": 57, "subnn": 57, "sumlist": 57, "eq_map": 57, "example_map": 57, "honour": 57, "bigop": 57, "idx": 57, "36": 57, "bigbodi": 57, "eq_bigr_": 57, "eq_big_": 57, "index_iota": 57, "eq_bigr": 57, "test_big_nest": 57, "prime_i": 57, "odd_j": 57, "summat": 57, "clamp": 57, "master_kei": 57, "lid": 57, "nosimpl": 57, "shine": 57, "spontan": 57, "my_congr_properti": 57, "hnm": 57, "card": 57, "glanc": 57, "term_i": 57, "addsn": 57, "undetermin": [57, 66], "region": 57, "toi": 57, "last_ind_list": 57, "ei": 57, "plus_ind": [57, 72], "n_gt0": 57, "pr_p": 57, "prod_": 57, "prime_decomp": 57, "big_prop": 57, "ihu": 57, "ihv": 57, "pb": 57, "op1": [57, 58], "p2q": 57, "hpa": 57, "hqa": 57, "q2p": 57, "hpb": 57, "hq": [57, 67], "pqequiv": 57, "hqab": 57, "ifflr": 57, "iffrl": 57, "brute": [57, 64], "elid": 57, "reflect_tru": 57, "reflect_fals": 57, "andE": 57, "orp": 57, "negp": 57, "hb": [57, 58], "termn": 57, "generalis": 57, "termvh": 57, "intron": 57, "introntf": 57, "intronf": 57, "pab": 57, "pa": 57, "gap": 57, "b3": 57, "norp": 57, "corpu": 57, "NO": 57, "parsimoni": 57, "d_tactic": 57, "modnam": 57, "nat_or_id": 57, "gen_item": 57, "int_mult": 57, "mult_mark": 57, "r_step": 57, "backchain": 57, "inher": 57, "obstruct": 57, "metatheori": 57, "nake": 57, "precondit": 58, "tactic_invoc": 58, "simple_intropattern_clos": 58, "naming_intropattern": [58, 67], "or_and_intropattern": 58, "equality_intropattern": 58, "op2": 58, "opn": 58, "h3": [58, 67], "introl": 58, "intror": 58, "erasur": [58, 67], "length_zero_iff_nil": 58, "threeintropatternscombin": 58, "ocurr": 58, "goal_occurr": 58, "simple_occurr": [58, 60, 64], "hyp_occ": 58, "concl_occ": 58, "hypid": 58, "in_hyp_a": 58, "as_ipat": 58, "serial": [58, 67], "unmatch": 58, "clariti": [58, 66], "proceed": [58, 77], "le_tran": 58, "repect": 58, "m170": 58, "m171": 58, "lappli": 58, "rtran": 58, "rnm": 58, "rmp": 58, "elegantli": 58, "unselect": 58, "uneed": 58, "interpet": 58, "hy": 58, "as_nam": 58, "modu": 58, "ponen": 58, "pattern_occ": [58, 64], "hloc": 58, "surpris": 58, "instantiate_ltac_vari": 58, "ev": 58, "f_rect": 58, "f_ind": 58, "f_rec": 58, "f_sind": 58, "lt_irrefl": 58, "exact_no_check": [58, 66], "vm_cast_no_check": 58, "native_cast_no_check": 58, "univ_name_list": 59, "search_queri": 59, "search_item": 59, "logical_kind": 59, "narrow": [59, 67], "land_comm": 59, "lor_comm": 59, "lxor_comm": 59, "lcm_comm": 59, "min_comm": 59, "gcd_comm": 59, "xorb_comm": 59, "max_comm": 59, "orb_comm": 59, "andb_comm": 59, "eqb_sym": 59, "_assoc": 59, "or_assoc": 59, "and_assoc": 59, "eq_trans_assoc": 59, "plus_o_n": 59, "plus_sn_m": 59, "f_equal2_plu": 59, "nat_rect_plu": 59, "bit0_eqb": 59, "div_exact": 59, "land_on": 59, "testbit_spec": 59, "pow_div_l": 59, "testbit_eqb": 59, "testbit_fals": 59, "testbit_tru": 59, "internal_": 59, "of_bit": 59, "to_bits_of_bit": 59, "to_bit": 59, "bool_of_sumbool": 59, "andb_prop": 59, "andb_true_intro": 59, "ldiff": 59, "tail_mul": 59, "of_hex_uint": 59, "of_uint": [59, 71], "iff_symmetr": 59, "iff_reflex": 59, "impl_reflex": 59, "eq_symmetr": 59, "eq_reflex": 59, "per_symmetr": 59, "neq_symmetr": 59, "reflexive_eq_dom_reflex": 59, "tail_add": 59, "tail_addmul": 59, "sqrt_iter": 59, "log2_it": 59, "add_succ_comm": 59, "plus_assoc_reverse_stt": 59, "add_shuffle3": 59, "add_shuffle0": 59, "add_shuffle1": 59, "add_shuffle2": 59, "testbit_nat": 59, "incl_refl": 59, "lel_refl": 59, "lel": 59, "add_carry_div2": 59, "_subterm": 59, "therebi": 59, "subpackag": 59, "printconf": 59, "grep": 59, "comextradep": 59, "query_extra_dep": 59, "section_path": 59, "base_includ": 59, "sustem": 59, "confirm": [59, 71], "pedant": 59, "78": 59, "formatt": 59, "beyond": [59, 63], "exce": [59, 67], "askra": 59, "obfusc": 59, "uncheck": 59, "bypass": 59, "check_guard": 59, "check_posit": 59, "check_univers": 59, "ackermann": 59, "ack": [59, 60], "ackm": 59, "plug": 59, "ind_bool": 59, "implementor": 59, "auto_us": 60, "fake": 60, "feed": 60, "carthi": 60, "ack0": 60, "ack1": 60, "ack2": 60, "base0": 60, "resack0": 60, "29": 60, "g0": [60, 67], "g1": 60, "g2": 60, "base1": 60, "resg0": 60, "110": 60, "resg1": 60, "imedi": 60, "dt": 60, "pressur": 60, "nonempti": 60, "ot": 60, "network": 60, "prefac": 60, "needless": 60, "hints_regexp": 60, "emp": 60, "ep": 60, "mispars": 60, "plus0l": 60, "plus0r": 60, "plussl": 60, "plussr": 60, "carefulli": 60, "nonneg": 60, "section_var_expr": [60, 66], "instrument": 61, "tautolog": 62, "mun94": [62, 77], "1000": [62, 64], "nelson": 62, "oppen": 62, "inj": 62, "provis": 62, "btauto_term": 62, "mtac2": 63, "\u03bbprolog": 63, "wikipedia": 64, "equivalence_class": 64, "mayb": 64, "drive": 64, "4476": 64, "weakli": 64, "reference_occ": 64, "pred_add": 64, "\u03b2\u03b9\u03b6": 64, "undesir": 64, "preceed": 64, "ler90": [64, 77], "4776": 64, "dozen": 64, "gregoirel02": [64, 77], "dramat": 64, "bdenesgregoire11": [64, 77], "wall": 64, "clock": 64, "native_compute_profil": 64, "consult": 64, "irreversibli": 64, "strategy_level": [64, 71], "tie": 64, "strategy_level_or_var": [64, 71], "proport": 64, "transact": [64, 77], "109": 64, "042u": 64, "066": 64, "67": 64, "66u": 64, "001": 64, "001u": 64, "002u": 64, "super": 64, "robustli": 64, "inabl": 64, "12200": 64, "tt_n": 66, "t_h": 66, "tt_h": 66, "glt89": [66, 77], "theorem_nam": 66, "fetch": 66, "unnamed_thm": 66, "misus": 66, "recheck": 66, "gulp": 66, "498": 66, "starred_ident_ref": 66, "section_var_expr50": 66, "section_var_expr0": 66, "hn": 66, "radixnotzero": 66, "noedit": 66, "name_go": 66, "inact": 66, "attent": 66, "9146": 66, "caution": 66, "computation": 66, "aim": 66, "y13": 66, "pale": 66, "bg": 66, "foreground": 66, "bold": 66, "strikeout": 66, "lexer": 66, "myer": [66, 77], "mye86": [66, 77], "undif": 66, "solve_constraint": 66, "stat": 66, "live_word": 66, "heap_word": 66, "top_heap_word": 66, "experienc": 66, "induction_principl": 67, "ih": 67, "mental": 67, "induction_test": 67, "induction_test2": 67, "ihn0": [67, 72], "conor": [67, 77], "mcbride": [67, 77], "mcb00": [67, 77], "ct95": [67, 77], "lt_1_r": 67, "ihl": 67, "simple_bind": 67, "disjointed": 67, "outermost": 67, "versu": 67, "esimplifi": 67, "contructor": 67, "subequ": 67, "contains0": 67, "in_hd": 67, "in_tl": 67, "contains0_ind": 67, "contains0_sind": 67, "hl": 67, "heqp": 67, "heql": 67, "rect": 67, "le_rect": 67, "le_rec": 67, "inversion_clear": 67, "vec": 67, "vec_rect": 67, "vec_ind": 67, "vec_rec": 67, "vec_sind": 67, "invert_con": 67, "h2_": 67, "h2_0": 67, "uip_refl_nat": 67, "nq": 67, "scheme_kind": 67, "sort_famili": [67, 72], "tree_forest_rec": 67, "forest_tree_rec": 67, "nat_rec_nodep": 67, "nat_case_nodep": 67, "tree_forest_ind": 67, "forest_tree_ind": 67, "tree_forest_mutind": 67, "tree_forest_rect": 67, "forest_tree_rect": 67, "tree_forest_mutrect": 67, "leminv": 67, "generalize_eq": 67, "revisit": 67, "gen_x": 67, "amen": 67, "generalize_eqs_var": 67, "simplify_dep_elim": 67, "ihp": 67, "do_depind": 67, "vnil": 67, "vector_rect": 67, "vector_ind": 67, "vector_rec": 67, "vector_sind": 67, "dismiss": 67, "type_rect": 67, "type_ind": 67, "type_rec": 67, "type_sind": 67, "ctx": 67, "snoc": 67, "ctx_rect": 67, "ctx_ind": 67, "ctx_rec": 67, "ctx_sind": 67, "tau": 67, "conc": 67, "term_rect": 67, "term_ind": 67, "term_rec": 67, "term_sind": 67, "allevi": 67, "plumb": 67, "simpl_depind": 67, "ihterm": 67, "d0": [67, 71], "notation_declar": 71, "scope_nam": 71, "untermin": 71, "unend": 71, "tight": 71, "articul": 71, "highest": 71, "nonassoci": 71, "ll1": 71, "samel": 71, "rudimentari": 71, "hv": 71, "preferenti": 71, "incompar": 71, "reimport": 71, "parm": 71, "enable_notation_flag": 71, "123": 71, "reachabl": 71, "vernac_control": 71, "za": 71, "9_": 71, "punctuat": [71, 75], "sep": 71, "elements1": 71, "elements2": 71, "righta": 71, "lefta": 71, "tactic_then_loc": 71, "docgram": 71, "fullgrammar": 71, "orderedgrammar": 71, "dom": 71, "subset_bi": 71, "myforal": 71, "exists_differ": 71, "_p": 71, "force2": 71, "_e": 71, "mylet": 71, "funapp": 71, "exists_non_nul": 71, "apply_id": 71, "expr_rect": 71, "expr_ind": 71, "expr_rec": 71, "expr_sind": 71, "border": 71, "binder_interp": 71, "explicit_subentri": 71, "diagnost": 71, "_scope": 71, "byte_scop": 71, "hex_int_scop": 71, "hex_nat_scop": 71, "hex_uint_scop": 71, "f_scope": 71, "_f_scope": 71, "_t_scope": 71, "_bool_scop": 71, "n_scope": 71, "positive_scop": 71, "qc_scope": 71, "qc": 71, "printabl": 71, "beep": 71, "char_scop": 71, "nlist": 71, "plus1": 71, "explicit_id": 71, "unnatur": 71, "number_modifi": 71, "number_string_via": 71, "refresh": 71, "hexa": 71, "remap": 71, "seemingli": 71, "radix3": 71, "x3p1": 71, "x3p2": 71, "radix3_rect": 71, "radix3_ind": 71, "radix3_rec": 71, "radix3_sind": 71, "of_uint_dec": 71, "d1": 71, "d2": 71, "rev": 71, "uintdecim": 71, "uinthexadecim": 71, "to_uint_dec": 71, "to_uint": 71, "radix3_scop": 71, "pos_neg_int63": 71, "int_wrapp": 71, "int_wrap": 71, "iempti": 71, "iunit": 71, "isum": 71, "i2": 71, "to_num_uint": 71, "nset": 71, "fin_scop": 71, "id_str": 71, "abc": 71, "ltac_production_item": 71, "_list_sep": 71, "destruct_with_eqn": 71, "smart_glob": 71, "tacn": 71, "_list": 71, "ne_": 71, "_complet": 72, "_correct": 72, "_equat": 72, "recdef": 72, "sf": 72, "_tcc": 72, "_termin": 72, "antonia": 72, "balaa": 72, "barth": 72, "pichardi": [72, 77], "vlad": 72, "rusu": 72, "plus_equ": 72, "plus_rect": 72, "plus_rec": 72, "r_plus_correct": 72, "r_plus_complet": 72, "minus_ind": 72, "sub_equ": 72, "func_scheme_def": 72, "div2_ind": 72, "div2_equ": 72, "div2_l": 72, "tree_size_equ": 72, "tree_size_rect": 72, "tree_size_ind": 72, "tree_size_rec": 72, "forest_size_equ": 72, "forest_size_rect": 72, "forest_size_ind": 72, "forest_size_rec": 72, "r_tree_size_correct": 72, "r_forest_size_correct": 72, "r_tree_size_complet": 72, "r_forest_size_complet": 72, "tree_size_ind2": 72, "forest_size_ind2": 72, "onlin": 73, "nearli": 73, "hyphen": 74, "estim": 74, "zim19": [74, 77], "trim": 74, "mylib": 74, "javadoc": 75, "ocamldoc": 75, "todd": 75, "coram": 75, "aft": 75, "preformat": 75, "overwritten": 75, "lex": 75, "ensuremath": 75, "asterisk": 75, "dash": 75, "mistaken": 75, "_emphas": 75, "text_": 75, "lastli": 75, "sheet": 75, "dvi": 75, "postscript": 75, "texmac": 75, "meaningless": 75, "trailer": 75, "preambl": 75, "quiet": 75, "domin": 75, "tableofcont": 75, "subtitl": 75, "modulenam": 75, "latin1": 75, "8859": 75, "inputenc": 75, "utf8x": 75, "ctan": 75, "textgreek": 75, "stmaryrd": 75, "declareunicodecharact": 75, "usepackag": 75, "xcolor": 75, "coqdockw": 75, "coqdocid": 75, "san": 75, "serif": 75, "slant": 75, "renewcommand": 75, "textsl": 75, "coqdocmodul": 75, "abel": 77, "gothenburg": 77, "north": 77, "holland": 77, "1981": 77, "mathieu": 77, "boespflug": 77, "\u00e9": 77, "\u00e8": 77, "gr": 77, "goir": 77, "throttl": 77, "jouannaud": 77, "zhong": 77, "shao": 77, "cpp": 77, "kent": 77, "taiwan": 77, "7086": 77, "lectur": 77, "362": 77, "377": 77, "springer": 77, "dx": 77, "doi": 77, "1007": 77, "978": 77, "642": 77, "25379": 77, "9_26": 77, "abadi": 77, "takahashi": 77, "ito": 77, "1281": 77, "verlag": 77, "1997": 77, "cockx": 77, "tame": 77, "proc": 77, "acm": 77, "lang": 77, "1145": 77, "3434341": 77, "conchon": 77, "sigplan": 77, "freiburg": 77, "germani": 77, "2007": 77, "ftp": 77, "publi": 77, "puf": 77, "wml07": 77, "rr": 77, "1088": 77, "hal": 77, "00075471": 77, "rard": 77, "mathematiqu": 77, "0515": 77, "00076039": 77, "0530": 77, "00076024": 77, "un": 77, "th\u00e9ori": 77, "universit\u00e9": 77, "ma": 77, "societi": 77, "151": 77, "184": 77, "berlin": 77, "heidelberg": 77, "540": 77, "15983": 77, "5_13": 77, "colog": 77, "52335": 77, "9_47": 77, "delphin": 77, "terrass": 77, "104": 77, "fei": 77, "william": 77, "craig": 77, "combinatori": 77, "1958": 77, "9e": 77, "lui": 77, "dama": 77, "9th": 77, "sigact": 77, "popl": 77, "82": 77, "207": 77, "212": 77, "york": 77, "ny": 77, "usa": 77, "1982": 77, "582153": 77, "582176": 77, "rosser": 77, "indag": 77, "1972": 77, "actic": 77, "anguag": 77, "ystem": 77, "lpar": 77, "reunion": 77, "island": 77, "1955": 77, "lirmm": 77, "7edelahay": 77, "2700": 77, "cosmo": 77, "birkhaus": 77, "isbn": 77, "8176": 77, "3763": 77, "journal": 77, "ga": 77, "\u00eb": 77, "tan": 77, "3290316": 77, "94": 77, "996": 77, "1158": 77, "135": 77, "152": 77, "2005": 77, "alessandro": 77, "giovini": 77, "teo": 77, "mora": 77, "gianfranco": 77, "niesi": 77, "lorenzo": 77, "robbiano": 77, "traverso": 77, "cube": 77, "issac": 77, "taylor": 77, "tract": 77, "aleksandar": 77, "nanevski": 77, "derek": 77, "dreyer": 77, "175": 77, "2034574": 77, "2034798": 77, "mitchel": 77, "wand": 77, "peyton": 77, "jone": 77, "seventh": 77, "icfp": 77, "pittsburgh": 77, "235": 77, "246": 77, "581478": 77, "581501": 77, "seldin": 77, "essai": 77, "academ": 77, "1980": 77, "elsevi": 77, "17660": 77, "8_62": 77, "gyesik": 77, "117": 77, "irif": 77, "extraction2002": 77, "sebastiaan": 77, "luttik": 77, "eelco": 77, "asf": 77, "sdf": 77, "sandrin": 77, "blazi": 77, "2013": 77, "7998": 77, "lnc": 77, "renn": 77, "00816703": 77, "39634": 77, "2_5": 77, "197": 77, "216": 77, "lic": 77, "84": 77, "d\u00e9monstrat": 77, "automatiqu": 77, "logiqu": 77, "propositionnel": 77, "intuitionnist": 77, "fondamental": 77, "eugen": 77, "nd": 77, "algorithmica": 77, "xmailserv": 77, "diff2": 77, "947": 77, "bezem": 77, "groot": 77, "664": 77, "92": 77, "49": 77, "\u03c9": 77, "75277": 77, "75285": 77, "328": 77, "345": 77, "bfb0037116": 77, "209": 77, "228": 77, "bfb0040259": 77, "rushbi": 77, "owr": 77, "shankar": 77, "709": 77, "720": 77, "oq": 77, "4502": 77, "237": 77, "252": 77, "ouri": 77, "irst": 77, "ype": 77, "tphol": 77, "rta": 77, "2051": 77, "357": 77, "zine": 77, "el": 77, "abidin": 77, "benaissa": 77, "tolmach": 77, "th\u00e8se": 77, "doctorat": 77, "collabor": 77, "tel": 77, "ouvert": 77, "02451322": 77}, "objects": {"&quot;All&quot; is a predefined collection containing all variables": [[66, 0, 1, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined", " It can&#x27;t be redefined"]], "": [[71, 0, 1, "coq:exn.'via'-and-'abstract'-cannot-be-used-together", "&#x27;via&#x27; and &#x27;abstract&#x27; cannot be used together"], [54, 1, 1, "coq:tacn.+-(backtracking-branching)", "+ (backtracking branching)"], [57, 1, 1, "coq:tacn.=>", "=&gt;"], [66, 3, 1, "coq:cmd.Abort", "Abort"], [59, 3, 1, "coq:cmd.About", "About"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry", "Activation of abbreviations does not expect mentioning a grammar entry"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope", "Activation of abbreviations does not expect mentioning a scope"], [29, 3, 1, "coq:cmd.Add", "Add"], [11, 3, 1, "coq:cmd.Add-Field", "Add Field"], [3, 3, 1, "coq:cmd.Add-Morphism", "Add Morphism"], [3, 3, 1, "coq:cmd.Add-Parametric-Morphism", "Add Parametric Morphism"], [3, 3, 1, "coq:cmd.Add-Parametric-Relation", "Add Parametric Relation"], [3, 3, 1, "coq:cmd.Add-Parametric-Setoid", "Add Parametric Setoid"], [3, 3, 1, "coq:cmd.Add-Relation", "Add Relation"], [11, 3, 1, "coq:cmd.Add-Ring", "Add Ring"], [3, 3, 1, "coq:cmd.Add-Setoid", "Add Setoid"], [5, 3, 1, "coq:cmd.Add-Zify", "Add Zify"], [9, 3, 1, "coq:cmd.Admit-Obligations", "Admit Obligations"], [66, 3, 1, "coq:cmd.Admitted", "Admitted"], [12, 4, 1, "coq:flag.Allow-StrictProp", "Allow StrictProp"], [44, 0, 1, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once", "Argument at position \u2018natural\u2019 is mentioned more than once"], [54, 0, 1, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term", "Argument of match does not evaluate to a term"], [41, 3, 1, "coq:cmd.Arguments", "Arguments"], [44, 0, 1, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode", "Arguments given by name or position not supported in explicit mode"], [11, 0, 1, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type", "Arguments of ring_simplify do not have all the same type"], [41, 0, 1, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed", "Arguments of section variables such as \u2018name\u2019 may not be renamed"], [46, 4, 1, "coq:flag.Asymmetric-Patterns", "Asymmetric Patterns"], [66, 0, 1, "coq:exn.Attempt-to-save-an-incomplete-proof", "Attempt to save an incomplete proof"], [29, 3, 1, "coq:cmd.Attributes", "Attributes"], [34, 4, 1, "coq:flag.Auto-Template-Polymorphism", "Auto Template Polymorphism"], [34, 2, 1, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic", "Automatically declaring \u2018ident\u2019 as template polymorphic"], [28, 3, 1, "coq:cmd.Axiom", "Axiom"], [28, 3, 1, "coq:cmd.Axioms", "Axioms"], [59, 3, 1, "coq:cmd.Back", "Back"], [59, 3, 1, "coq:cmd.BackTo", "BackTo"], [11, 0, 1, "coq:exn.Bad-lemma-for-decidability-of-equality", "Bad lemma for decidability of equality"], [59, 0, 1, "coq:exn.Bad-magic-number", "Bad magic number"], [64, 0, 1, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019", "Bad occurrence number of \u2018qualid\u2019"], [12, 2, 1, "coq:warn.Bad-relevance", "Bad relevance"], [11, 0, 1, "coq:exn.Bad-ring-structure", "Bad ring structure"], [71, 3, 1, "coq:cmd.Bind-Scope", "Bind Scope"], [67, 4, 1, "coq:flag.Boolean-Equality-Schemes", "Boolean Equality Schemes"], [5, 5, 1, "coq:thm.Bound-on-the-ceiling-function", "Bound on the ceiling function"], [66, 0, 1, "coq:exn.Brackets-do-not-support-multi-goal-selectors", "Brackets do not support multi-goal selectors"], [66, 6, 1, "coq:opt.Bullet-Behavior", "Bullet Behavior"], [72, 2, 1, "coq:warn.Cannot-build-functional-inversion-principle", "Cannot build functional inversion principle"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion", "Cannot change \u2018ident\u2019, it is used in conclusion"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019", "Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"], [60, 0, 1, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference", "Cannot coerce \u2018qualid\u2019 to an evaluable reference"], [72, 2, 1, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019", "Cannot define graph for \u2018ident\u2019"], [72, 2, 1, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019", "Cannot define principle(s) for \u2018ident\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019", "Cannot find a declared ring structure for equality \u2018term\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019", "Cannot find a declared ring structure over \u2018term\u2019"], [64, 0, 1, "coq:exn.Cannot-find-a-relation-to-rewrite", "Cannot find a relation to rewrite"], [64, 0, 1, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019", "Cannot find any non-recursive equality over \u2018ident\u2019"], [72, 0, 1, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019", "Cannot find induction information on \u2018qualid\u2019"], [72, 0, 1, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019", "Cannot find inversion information for hypothesis \u2018ident\u2019"], [59, 0, 1, "coq:exn.Cannot-find-library-foo-in-loadpath", "Cannot find library foo in loadpath"], [4, 0, 1, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019", "Cannot find the source class of \u2018qualid\u2019"], [4, 0, 1, "coq:exn.Cannot-find-the-target-class", "Cannot find the target class"], [35, 2, 1, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored", "Cannot import local constant, it will be ignored"], [71, 0, 1, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment", "Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"], [71, 0, 1, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this number as a value of type \u2018type\u2019"], [71, 0, 1, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this string as a value of type \u2018type\u2019"], [59, 0, 1, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019", "Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"], [62, 0, 1, "coq:exn.Cannot-recognize-a-boolean-equality", "Cannot recognize a boolean equality"], [67, 0, 1, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019", "Cannot recognize a statement based on \u2018reference\u2019"], [4, 0, 1, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019", "Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"], [64, 0, 1, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference", "Cannot turn [inductive|constructor] into an evaluable reference"], [72, 0, 1, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure", "Cannot use mutual definition with well-founded recursion or measure"], [42, 3, 1, "coq:cmd.Canonical-Structure", "Canonical Structure"], [59, 0, 1, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath", "Can\u2019t find file \u2018ident\u2019 on loadpath"], [67, 4, 1, "coq:flag.Case-Analysis-Schemes", "Case Analysis Schemes"], [5, 5, 1, "coq:thm.Case-split", "Case split"], [40, 0, 1, "coq:exn.Casts-are-not-supported-in-this-pattern", "Casts are not supported in this pattern"], [2, 3, 1, "coq:cmd.Cd", "Cd"], [59, 3, 1, "coq:cmd.Check", "Check"], [13, 3, 1, "coq:cmd.Class", "Class"], [71, 3, 1, "coq:cmd.Close-Scope", "Close Scope"], [30, 3, 1, "coq:cmd.CoFixpoint", "CoFixpoint"], [30, 3, 1, "coq:cmd.CoInductive", "CoInductive"], [4, 3, 1, "coq:cmd.Coercion", "Coercion"], [66, 3, 1, "coq:cmd.Collection", "Collection"], [67, 3, 1, "coq:cmd.Combined-Scheme", "Combined Scheme"], [29, 3, 1, "coq:cmd.Comments", "Comments"], [64, 3, 1, "coq:cmd.Compute", "Compute"], [54, 0, 1, "coq:exn.Condition-not-satisfied", "Condition not satisfied"], [28, 3, 1, "coq:cmd.Conjecture", "Conjecture"], [28, 3, 1, "coq:cmd.Conjectures", "Conjectures"], [14, 3, 1, "coq:cmd.Constraint", "Constraint"], [38, 3, 1, "coq:cmd.Context", "Context"], [44, 4, 1, "coq:flag.Contextual-Implicit", "Contextual Implicit"], [51, 4, 1, "coq:flag.Coqtop-Exit-On-Error", "Coqtop Exit On Error"], [32, 3, 1, "coq:cmd.Corollary", "Corollary"], [60, 3, 1, "coq:cmd.Create-HintDb", "Create HintDb"], [14, 7, 1, "coq:attr.Cumulative", "Cumulative"], [14, 4, 1, "coq:flag.Cumulativity-Weak-Constraints", "Cumulativity Weak Constraints"], [54, 3, 1, "coq:cmd.Debug", "Debug"], [59, 6, 1, "coq:opt.Debug", "Debug"], [60, 4, 1, "coq:flag.Debug-Auto", "Debug Auto"], [60, 4, 1, "coq:flag.Debug-Eauto", "Debug Eauto"], [57, 4, 1, "coq:flag.Debug-SsrMatching", "Debug SsrMatching"], [57, 4, 1, "coq:flag.Debug-Ssreflect", "Debug Ssreflect"], [60, 4, 1, "coq:flag.Debug-Trivial", "Debug Trivial"], [54, 0, 1, "coq:exn.Debug-mode-not-available-in-the-IDE", "Debug mode not available in the IDE"], [67, 4, 1, "coq:flag.Decidable-Equality-Schemes", "Decidable Equality Schemes"], [71, 3, 1, "coq:cmd.Declare-Custom-Entry", "Declare Custom Entry"], [64, 3, 1, "coq:cmd.Declare-Equivalent-Keys", "Declare Equivalent Keys"], [13, 3, 1, "coq:cmd.Declare-Instance", "Declare Instance"], [64, 3, 1, "coq:cmd.Declare-Left-Step", "Declare Left Step"], [59, 3, 1, "coq:cmd.Declare-ML-Module", "Declare ML Module"], [35, 3, 1, "coq:cmd.Declare-Module", "Declare Module"], [3, 3, 1, "coq:cmd.Declare-Morphism", "Declare Morphism"], [64, 3, 1, "coq:cmd.Declare-Reduction", "Declare Reduction"], [64, 3, 1, "coq:cmd.Declare-Right-Step", "Declare Right Step"], [71, 3, 1, "coq:cmd.Declare-Scope", "Declare Scope"], [60, 2, 1, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead", "Declaring arbitrary terms as hints is fragile and deprecated; it is recommended to declare a toplevel constant instead"], [58, 6, 1, "coq:opt.Default-Goal-Selector", "Default Goal Selector"], [66, 6, 1, "coq:opt.Default-Proof-Mode", "Default Proof Mode"], [66, 6, 1, "coq:opt.Default-Proof-Using", "Default Proof Using"], [59, 6, 1, "coq:opt.Default-Timeout", "Default Timeout"], [66, 3, 1, "coq:cmd.Defined", "Defined"], [32, 3, 1, "coq:cmd.Definition", "Definition"], [12, 4, 1, "coq:flag.Definitional-UIP", "Definitional UIP"], [71, 3, 1, "coq:cmd.Delimit-Scope", "Delimit Scope"], [34, 4, 1, "coq:flag.Dependent-Proposition-Eliminators", "Dependent Proposition Eliminators"], [6, 3, 1, "coq:cmd.Derive", "Derive"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion", "Derive Dependent Inversion"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion_clear", "Derive Dependent Inversion_clear"], [67, 3, 1, "coq:cmd.Derive-Inversion", "Derive Inversion"], [67, 3, 1, "coq:cmd.Derive-Inversion_clear", "Derive Inversion_clear"], [66, 6, 1, "coq:opt.Diffs", "Diffs"], [71, 3, 1, "coq:cmd.Disable-Notation", "Disable Notation"], [59, 3, 1, "coq:cmd.Drop", "Drop"], [5, 6, 1, "coq:opt.Dump-Arith", "Dump Arith"], [59, 0, 1, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the", "Dynlink error: execution of module initializers in the"], [46, 0, 1, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies", "Either there is a type incompatibility or the problem involves dependencies"], [67, 4, 1, "coq:flag.Elimination-Schemes", "Elimination Schemes"], [71, 3, 1, "coq:cmd.Enable-Notation", "Enable Notation"], [38, 3, 1, "coq:cmd.End", "End"], [71, 0, 1, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation", "End of quoted string not followed by a space in notation"], [64, 3, 1, "coq:cmd.Eval", "Eval"], [32, 3, 1, "coq:cmd.Example", "Example"], [13, 3, 1, "coq:cmd.Existing-Class", "Existing Class"], [13, 3, 1, "coq:cmd.Existing-Instance", "Existing Instance"], [13, 3, 1, "coq:cmd.Existing-Instances", "Existing Instances"], [35, 3, 1, "coq:cmd.Export", "Export"], [54, 0, 1, "coq:exn.Expression-does-not-evaluate-to-a-tactic", "Expression does not evaluate to a tactic"], [2, 3, 1, "coq:cmd.Extract-Callback", "Extract Callback"], [2, 0, 1, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction", "Extract Callback is supported only for OCaml extraction"], [2, 3, 1, "coq:cmd.Extract-Constant", "Extract Constant"], [2, 3, 1, "coq:cmd.Extract-Foreign-Constant", "Extract Foreign Constant"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction", "Extract Foreign Constant is supported only for OCaml extraction"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions", "Extract Foreign Constant is supported only for functions"], [2, 3, 1, "coq:cmd.Extract-Inductive", "Extract Inductive"], [2, 3, 1, "coq:cmd.Extract-Inlined-Constant", "Extract Inlined Constant"], [2, 3, 1, "coq:cmd.Extraction", "Extraction"], [2, 4, 1, "coq:flag.Extraction-AutoInline", "Extraction AutoInline"], [2, 3, 1, "coq:cmd.Extraction-Blacklist", "Extraction Blacklist"], [2, 4, 1, "coq:flag.Extraction-Conservative-Types", "Extraction Conservative Types"], [2, 6, 1, "coq:opt.Extraction-File-Comment", "Extraction File Comment"], [2, 6, 1, "coq:opt.Extraction-Flag", "Extraction Flag"], [2, 3, 1, "coq:cmd.Extraction-Implicit", "Extraction Implicit"], [2, 3, 1, "coq:cmd.Extraction-Inline", "Extraction Inline"], [2, 4, 1, "coq:flag.Extraction-KeepSingleton", "Extraction KeepSingleton"], [2, 3, 1, "coq:cmd.Extraction-Language", "Extraction Language"], [2, 3, 1, "coq:cmd.Extraction-Library", "Extraction Library"], [2, 3, 1, "coq:cmd.Extraction-NoInline", "Extraction NoInline"], [2, 4, 1, "coq:flag.Extraction-Optimize", "Extraction Optimize"], [2, 6, 1, "coq:opt.Extraction-Output-Directory", "Extraction Output Directory"], [2, 4, 1, "coq:flag.Extraction-SafeImplicits", "Extraction SafeImplicits"], [2, 3, 1, "coq:cmd.Extraction-TestCompile", "Extraction TestCompile"], [2, 4, 1, "coq:flag.Extraction-TypeExpand", "Extraction TypeExpand"], [32, 3, 1, "coq:cmd.Fact", "Fact"], [59, 3, 1, "coq:cmd.Fail", "Fail"], [54, 0, 1, "coq:exn.Failed-to-progress", "Failed to progress"], [59, 4, 1, "coq:flag.Fast-Name-Printing", "Fast Name Printing"], [59, 0, 1, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019", "File not found on loadpath: \u2018string\u2019"], [59, 0, 1, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs", "Files processed by Load cannot leave open proofs"], [9, 3, 1, "coq:cmd.Final-Obligation", "Final Obligation"], [62, 6, 1, "coq:opt.Firstorder-Depth", "Firstorder Depth"], [62, 6, 1, "coq:opt.Firstorder-Solver", "Firstorder Solver"], [34, 3, 1, "coq:cmd.Fixpoint", "Fixpoint"], [41, 0, 1, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019", "Flag &#x27;rename&#x27; expected to rename \u2018name\u2019 into \u2018name\u2019"], [66, 3, 1, "coq:cmd.Focus", "Focus"], [46, 0, 1, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected", "Found a constructor of inductive type term while a constructor of term is expected"], [64, 0, 1, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause", "Found an &quot;at&quot; clause without &quot;with&quot; clause"], [71, 2, 1, "coq:warn.Found-no-matching-notation-to-enable-or-disable", "Found no matching notation to enable or disable"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal", "Found no subterm matching \u2018term\u2019 in the current goal"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019", "Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"], [4, 0, 1, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019", "Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"], [59, 3, 1, "coq:cmd.From-\u2026-Dependency", "From \u2026 Dependency"], [59, 3, 1, "coq:cmd.From-\u2026-Require", "From \u2026 Require"], [4, 0, 1, "coq:exn.Funclass-cannot-be-a-source-class", "Funclass cannot be a source class"], [72, 3, 1, "coq:cmd.Function", "Function"], [72, 3, 1, "coq:cmd.Functional-Case", "Functional Case"], [72, 3, 1, "coq:cmd.Functional-Scheme", "Functional Scheme"], [44, 3, 1, "coq:cmd.Generalizable", "Generalizable"], [72, 3, 1, "coq:cmd.Generate-graph-for", "Generate graph for"], [66, 3, 1, "coq:cmd.Goal", "Goal"], [59, 4, 1, "coq:flag.Guard-Checking", "Guard Checking"], [66, 3, 1, "coq:cmd.Guarded", "Guarded"], [60, 3, 1, "coq:cmd.Hint-Constants", "Hint Constants"], [60, 3, 1, "coq:cmd.Hint-Constructors", "Hint Constructors"], [60, 3, 1, "coq:cmd.Hint-Cut", "Hint Cut"], [60, 3, 1, "coq:cmd.Hint-Extern", "Hint Extern"], [60, 3, 1, "coq:cmd.Hint-Immediate", "Hint Immediate"], [60, 3, 1, "coq:cmd.Hint-Mode", "Hint Mode"], [60, 3, 1, "coq:cmd.Hint-Opaque", "Hint Opaque"], [60, 3, 1, "coq:cmd.Hint-Projections", "Hint Projections"], [60, 3, 1, "coq:cmd.Hint-Resolve", "Hint Resolve"], [60, 3, 1, "coq:cmd.Hint-Rewrite", "Hint Rewrite"], [60, 3, 1, "coq:cmd.Hint-Transparent", "Hint Transparent"], [60, 3, 1, "coq:cmd.Hint-Unfold", "Hint Unfold"], [60, 3, 1, "coq:cmd.Hint-Variables", "Hint Variables"], [57, 3, 1, "coq:cmd.Hint-View-for", "Hint View for"], [57, 3, 1, "coq:cmd.Hint-View-for-apply", "Hint View for apply"], [57, 3, 1, "coq:cmd.Hint-View-for-move", "Hint View for move"], [28, 3, 1, "coq:cmd.Hypotheses", "Hypotheses"], [28, 3, 1, "coq:cmd.Hypothesis", "Hypothesis"], [72, 0, 1, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function", "Hypothesis \u2018ident\u2019 must contain at least one Function"], [66, 6, 1, "coq:opt.Hyps-Limit", "Hyps Limit"], [62, 0, 1, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality", "I don\u2019t know how to handle dependent equality"], [4, 3, 1, "coq:cmd.Identity-Coercion", "Identity Coercion"], [13, 2, 1, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class", "Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"], [44, 2, 1, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position", "Ignoring implicit binder declaration in unexpected position"], [9, 0, 1, "coq:exn.Ill-formed-recursive-definition", "Ill-formed recursive definition"], [34, 0, 1, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe", "Ill-formed template inductive declaration: not polymorphic on any universe"], [44, 4, 1, "coq:flag.Implicit-Arguments", "Implicit Arguments"], [44, 3, 1, "coq:cmd.Implicit-Type", "Implicit Type"], [44, 3, 1, "coq:cmd.Implicit-Types", "Implicit Types"], [35, 3, 1, "coq:cmd.Import", "Import"], [35, 3, 1, "coq:cmd.Include", "Include"], [35, 3, 1, "coq:cmd.Include-Type", "Include Type"], [57, 0, 1, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)", "Incorrect number of tactics (expected N tactics, was given M)"], [34, 3, 1, "coq:cmd.Inductive", "Inductive"], [71, 3, 1, "coq:cmd.Infix", "Infix"], [54, 3, 1, "coq:cmd.Info", "Info"], [60, 4, 1, "coq:flag.Info-Auto", "Info Auto"], [60, 4, 1, "coq:flag.Info-Eauto", "Info Eauto"], [54, 6, 1, "coq:opt.Info-Level", "Info Level"], [5, 4, 1, "coq:flag.Info-Micromega", "Info Micromega"], [60, 4, 1, "coq:flag.Info-Trivial", "Info Trivial"], [59, 3, 1, "coq:cmd.Inspect", "Inspect"], [13, 3, 1, "coq:cmd.Instance", "Instance"], [59, 3, 1, "coq:cmd.Instructions", "Instructions"], [62, 4, 1, "coq:flag.Intuition-Negation-Unfolding", "Intuition Negation Unfolding"], [59, 0, 1, "coq:exn.Invalid-backtrack", "Invalid backtrack"], [67, 8, 1, "coq:table.Keep-Equalities", "Keep Equalities"], [67, 4, 1, "coq:flag.Keep-Proof-Equalities", "Keep Proof Equalities"], [64, 4, 1, "coq:flag.Kernel-Term-Sharing", "Kernel Term Sharing"], [64, 4, 1, "coq:flag.Keyed-Unification", "Keyed Unification"], [38, 0, 1, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019", "Last block to end has name \u2018ident\u2019"], [32, 3, 1, "coq:cmd.Lemma", "Lemma"], [38, 3, 1, "coq:cmd.Let", "Let"], [38, 3, 1, "coq:cmd.Let-CoFixpoint", "Let CoFixpoint"], [38, 3, 1, "coq:cmd.Let-Fixpoint", "Let Fixpoint"], [5, 4, 1, "coq:flag.Lia-Cache", "Lia Cache"], [59, 3, 1, "coq:cmd.Load", "Load"], [59, 0, 1, "coq:exn.Load-is-not-supported-inside-proofs", "Load is not supported inside proofs"], [59, 3, 1, "coq:cmd.Locate", "Locate"], [59, 3, 1, "coq:cmd.Locate-File", "Locate File"], [59, 3, 1, "coq:cmd.Locate-Library", "Locate Library"], [59, 3, 1, "coq:cmd.Locate-Ltac", "Locate Ltac"], [59, 3, 1, "coq:cmd.Locate-Ltac2", "Locate Ltac2"], [59, 3, 1, "coq:cmd.Locate-Module", "Locate Module"], [59, 3, 1, "coq:cmd.Locate-Term", "Locate Term"], [60, 6, 1, "coq:opt.Loose-Hint-Behavior", "Loose Hint Behavior"], [54, 3, 1, "coq:cmd.Ltac", "Ltac"], [54, 4, 1, "coq:flag.Ltac-Backtrace", "Ltac Backtrace"], [54, 4, 1, "coq:flag.Ltac-Batch-Debug", "Ltac Batch Debug"], [54, 4, 1, "coq:flag.Ltac-Debug", "Ltac Debug"], [54, 4, 1, "coq:flag.Ltac-Profiling", "Ltac Profiling"], [55, 3, 1, "coq:cmd.Ltac2", "Ltac2"], [55, 4, 1, "coq:flag.Ltac2-Backtrace", "Ltac2 Backtrace"], [55, 3, 1, "coq:cmd.Ltac2-Check", "Ltac2 Check"], [55, 3, 1, "coq:cmd.Ltac2-Eval", "Ltac2 Eval"], [55, 3, 1, "coq:cmd.Ltac2-Globalize", "Ltac2 Globalize"], [55, 4, 1, "coq:flag.Ltac2-In-Ltac1-Profiling", "Ltac2 In Ltac1 Profiling"], [55, 3, 1, "coq:cmd.Ltac2-Notation", "Ltac2 Notation"], [55, 3, 1, "coq:cmd.Ltac2-Notation-(abbreviation)", "Ltac2 Notation (abbreviation)"], [55, 3, 1, "coq:cmd.Ltac2-Set", "Ltac2 Set"], [55, 3, 1, "coq:cmd.Ltac2-Type", "Ltac2 Type"], [55, 4, 1, "coq:flag.Ltac2-Typed-Notations", "Ltac2 Typed Notations"], [55, 3, 1, "coq:cmd.Ltac2-external", "Ltac2 external"], [44, 2, 1, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position", "Making shadowed name of implicit argument accessible by position"], [66, 4, 1, "coq:flag.Mangle-Names", "Mangle Names"], [66, 4, 1, "coq:flag.Mangle-Names-Light", "Mangle Names Light"], [66, 6, 1, "coq:opt.Mangle-Names-Prefix", "Mangle Names Prefix"], [44, 4, 1, "coq:flag.Maximal-Implicit-Insertion", "Maximal Implicit Insertion"], [71, 0, 1, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019", "Missing mapping for constructor \u2018qualid\u2019"], [35, 3, 1, "coq:cmd.Module", "Module"], [35, 3, 1, "coq:cmd.Module-Type", "Module Type"], [59, 0, 1, "coq:exn.Module/section-\u2018qualid\u2019-not-found", "Module/section \u2018qualid\u2019 not found"], [14, 7, 1, "coq:attr.Monomorphic", "Monomorphic"], [71, 0, 1, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier", "More than one interpretation bound to this notation, confirm with the &quot;all&quot; modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple &#x27;via&#x27; options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple &#x27;warning after&#x27; or &#x27;abstract after&#x27; options"], [64, 6, 1, "coq:opt.NativeCompute-Profile-Filename", "NativeCompute Profile Filename"], [64, 4, 1, "coq:flag.NativeCompute-Profiling", "NativeCompute Profiling"], [64, 4, 1, "coq:flag.NativeCompute-Timing", "NativeCompute Timing"], [66, 4, 1, "coq:flag.Nested-Proofs-Allowed", "Nested Proofs Allowed"], [66, 2, 1, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one", "New Collection definition of \u2018ident\u2019 shadows the previous one"], [9, 3, 1, "coq:cmd.Next-Obligation", "Next Obligation"], [5, 4, 1, "coq:flag.Nia-Cache", "Nia Cache"], [54, 0, 1, "coq:exn.No-applicable-tactic", "No applicable tactic"], [72, 0, 1, "coq:exn.No-argument-name-\u2018ident\u2019", "No argument name \u2018ident\u2019"], [54, 0, 1, "coq:exn.No-evars", "No evars"], [35, 0, 1, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019", "No field named \u2018ident\u2019 in \u2018qualid\u2019"], [66, 0, 1, "coq:exn.No-focused-proof", "No focused proof"], [66, 0, 1, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)", "No focused proof (No proof-editing in progress)"], [66, 0, 1, "coq:exn.No-focused-proof-to-restart", "No focused proof to restart"], [64, 0, 1, "coq:exn.No-head-constant-to-reduce", "No head constant to reduce"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match", "No matching clauses for match"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match-goal", "No matching clauses for match goal"], [71, 0, 1, "coq:exn.No-notation-provided", "No notation provided"], [67, 0, 1, "coq:exn.No-primitive-equality-found", "No primitive equality found"], [58, 0, 1, "coq:exn.No-product-even-after-head-reduction", "No product even after head-reduction"], [3, 0, 1, "coq:exn.No-progress-made", "No progress made"], [58, 0, 1, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction", "No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"], [58, 0, 1, "coq:exn.No-such-assumption", "No such assumption"], [58, 0, 1, "coq:exn.No-such-binder", "No such binder"], [58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)", "No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"], [66, 0, 1, "coq:exn.No-such-goal", "No such goal"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018ident\u2019)", "No such goal (\u2018ident\u2019)"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018natural\u2019)", "No such goal (\u2018natural\u2019)"], [58, 0, 1, "coq:exn.No-such-hypothesis:-\u2018ident\u2019", "No such hypothesis: \u2018ident\u2019"], [58, 0, 1, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction", "No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"], [46, 0, 1, "coq:exn.Non-exhaustive-pattern-matching", "Non exhaustive pattern matching"], [9, 0, 1, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition", "Non extensible universe declaration not supported with monomorphic Program Definition"], [34, 0, 1, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019", "Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"], [14, 7, 1, "coq:attr.NonCumulative", "NonCumulative"], [67, 4, 1, "coq:flag.Nonrecursive-Elimination-Schemes", "Nonrecursive Elimination Schemes"], [54, 0, 1, "coq:exn.Not-a-context-variable", "Not a context variable"], [67, 0, 1, "coq:exn.Not-a-discriminable-equality", "Not a discriminable equality"], [67, 0, 1, "coq:exn.Not-a-negated-primitive-equality", "Not a negated primitive equality"], [11, 0, 1, "coq:exn.Not-a-valid-ring-equation", "Not a valid ring equation"], [54, 0, 1, "coq:exn.Not-a-variable-or-hypothesis", "Not a variable or hypothesis"], [54, 0, 1, "coq:exn.Not-an-evar", "Not an evar"], [58, 0, 1, "coq:exn.Not-an-exact-proof", "Not an exact proof"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-1-constructor", "Not an inductive goal with 1 constructor"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-2-constructors", "Not an inductive goal with 2 constructors"], [67, 0, 1, "coq:exn.Not-an-inductive-product", "Not an inductive product"], [64, 0, 1, "coq:exn.Not-convertible", "Not convertible"], [67, 0, 1, "coq:exn.Not-enough-constructors", "Not enough constructors"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"], [54, 0, 1, "coq:exn.Not-equal", "Not equal"], [54, 0, 1, "coq:exn.Not-equal-(due-to-universes)", "Not equal (due to universes)"], [54, 0, 1, "coq:exn.Not-ground", "Not ground"], [72, 0, 1, "coq:exn.Not-the-right-number-of-induction-arguments", "Not the right number of induction arguments"], [58, 0, 1, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)", "Not the right number of missing arguments (expected \u2018natural\u2019)"], [71, 3, 1, "coq:cmd.Notation", "Notation"], [71, 3, 1, "coq:cmd.Notation-(abbreviation)", "Notation (abbreviation)"], [55, 0, 1, "coq:exn.Notation-levels-must-range-between-0-and-6", "Notation levels must range between 0 and 6"], [67, 0, 1, "coq:exn.Nothing-to-inject", "Nothing to inject"], [3, 0, 1, "coq:exn.Nothing-to-rewrite", "Nothing to rewrite"], [5, 4, 1, "coq:flag.Nra-Cache", "Nra Cache"], [71, 3, 1, "coq:cmd.Number-Notation", "Number Notation"], [9, 3, 1, "coq:cmd.Obligation", "Obligation"], [9, 3, 1, "coq:cmd.Obligation-Tactic", "Obligation Tactic"], [9, 3, 1, "coq:cmd.Obligations", "Obligations"], [64, 3, 1, "coq:cmd.Opaque", "Opaque"], [71, 3, 1, "coq:cmd.Open-Scope", "Open Scope"], [66, 3, 1, "coq:cmd.Optimize-Heap", "Optimize Heap"], [66, 3, 1, "coq:cmd.Optimize-Proof", "Optimize Proof"], [28, 3, 1, "coq:cmd.Parameter", "Parameter"], [28, 3, 1, "coq:cmd.Parameters", "Parameters"], [44, 4, 1, "coq:flag.Parsing-Explicit", "Parsing Explicit"], [14, 7, 1, "coq:attr.Polymorphic", "Polymorphic"], [14, 4, 1, "coq:flag.Polymorphic-Inductive-Cumulativity", "Polymorphic Inductive Cumulativity"], [14, 0, 1, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead", "Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"], [14, 0, 1, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead", "Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"], [59, 4, 1, "coq:flag.Positivity-Checking", "Positivity Checking"], [57, 3, 1, "coq:cmd.Prenex-Implicits", "Prenex Implicits"], [9, 3, 1, "coq:cmd.Preterm", "Preterm"], [59, 3, 1, "coq:cmd.Primitive", "Primitive"], [37, 4, 1, "coq:flag.Primitive-Projections", "Primitive Projections"], [59, 3, 1, "coq:cmd.Print", "Print"], [59, 3, 1, "coq:cmd.Print-All", "Print All"], [59, 3, 1, "coq:cmd.Print-All-Dependencies", "Print All Dependencies"], [59, 3, 1, "coq:cmd.Print-Assumptions", "Print Assumptions"], [42, 3, 1, "coq:cmd.Print-Canonical-Projections", "Print Canonical Projections"], [4, 3, 1, "coq:cmd.Print-Classes", "Print Classes"], [4, 3, 1, "coq:cmd.Print-Coercion-Paths", "Print Coercion Paths"], [4, 3, 1, "coq:cmd.Print-Coercions", "Print Coercions"], [71, 3, 1, "coq:cmd.Print-Custom-Grammar", "Print Custom Grammar"], [66, 3, 1, "coq:cmd.Print-Debug-GC", "Print Debug GC"], [64, 3, 1, "coq:cmd.Print-Equivalent-Keys", "Print Equivalent Keys"], [2, 3, 1, "coq:cmd.Print-Extraction-Blacklist", "Print Extraction Blacklist"], [2, 3, 1, "coq:cmd.Print-Extraction-Callback", "Print Extraction Callback"], [2, 3, 1, "coq:cmd.Print-Extraction-Foreign", "Print Extraction Foreign"], [2, 3, 1, "coq:cmd.Print-Extraction-Inline", "Print Extraction Inline"], [11, 3, 1, "coq:cmd.Print-Fields", "Print Fields"], [62, 3, 1, "coq:cmd.Print-Firstorder-Solver", "Print Firstorder Solver"], [71, 3, 1, "coq:cmd.Print-Grammar", "Print Grammar"], [4, 3, 1, "coq:cmd.Print-Graph", "Print Graph"], [60, 3, 1, "coq:cmd.Print-Hint", "Print Hint"], [60, 3, 1, "coq:cmd.Print-HintDb", "Print HintDb"], [44, 3, 1, "coq:cmd.Print-Implicit", "Print Implicit"], [13, 3, 1, "coq:cmd.Print-Instances", "Print Instances"], [71, 3, 1, "coq:cmd.Print-Keywords", "Print Keywords"], [59, 3, 1, "coq:cmd.Print-Libraries", "Print Libraries"], [59, 3, 1, "coq:cmd.Print-LoadPath", "Print LoadPath"], [54, 3, 1, "coq:cmd.Print-Ltac", "Print Ltac"], [54, 3, 1, "coq:cmd.Print-Ltac-Signatures", "Print Ltac Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2", "Print Ltac2"], [55, 3, 1, "coq:cmd.Print-Ltac2-Signatures", "Print Ltac2 Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2-Type", "Print Ltac2 Type"], [59, 3, 1, "coq:cmd.Print-ML-Modules", "Print ML Modules"], [59, 3, 1, "coq:cmd.Print-ML-Path", "Print ML Path"], [35, 3, 1, "coq:cmd.Print-Module", "Print Module"], [35, 3, 1, "coq:cmd.Print-Module-Type", "Print Module Type"], [35, 3, 1, "coq:cmd.Print-Namespace", "Print Namespace"], [71, 3, 1, "coq:cmd.Print-Notation", "Print Notation"], [59, 3, 1, "coq:cmd.Print-Opaque-Dependencies", "Print Opaque Dependencies"], [29, 3, 1, "coq:cmd.Print-Options", "Print Options"], [59, 3, 1, "coq:cmd.Print-Registered", "Print Registered"], [59, 3, 1, "coq:cmd.Print-Registered-Schemes", "Print Registered Schemes"], [60, 3, 1, "coq:cmd.Print-Rewrite-HintDb", "Print Rewrite HintDb"], [11, 3, 1, "coq:cmd.Print-Rings", "Print Rings"], [71, 3, 1, "coq:cmd.Print-Scope", "Print Scope"], [71, 3, 1, "coq:cmd.Print-Scopes", "Print Scopes"], [59, 3, 1, "coq:cmd.Print-Section", "Print Section"], [64, 3, 1, "coq:cmd.Print-Strategies", "Print Strategies"], [64, 3, 1, "coq:cmd.Print-Strategy", "Print Strategy"], [29, 3, 1, "coq:cmd.Print-Table", "Print Table"], [29, 3, 1, "coq:cmd.Print-Tables", "Print Tables"], [59, 3, 1, "coq:cmd.Print-Transparent-Dependencies", "Print Transparent Dependencies"], [13, 3, 1, "coq:cmd.Print-Typeclasses", "Print Typeclasses"], [59, 3, 1, "coq:cmd.Print-Typing-Flags", "Print Typing Flags"], [14, 3, 1, "coq:cmd.Print-Universes", "Print Universes"], [71, 3, 1, "coq:cmd.Print-Visibility", "Print Visibility"], [59, 4, 1, "coq:flag.Printing-All", "Printing All"], [46, 4, 1, "coq:flag.Printing-Allow-Match-Default-Clause", "Printing Allow Match Default Clause"], [4, 8, 1, "coq:table.Printing-Coercion", "Printing Coercion"], [4, 4, 1, "coq:flag.Printing-Coercions", "Printing Coercions"], [59, 4, 1, "coq:flag.Printing-Compact-Contexts", "Printing Compact Contexts"], [37, 8, 1, "coq:table.Printing-Constructor", "Printing Constructor"], [59, 4, 1, "coq:flag.Printing-Dependent-Evars-Line", "Printing Dependent Evars Line"], [59, 6, 1, "coq:opt.Printing-Depth", "Printing Depth"], [43, 4, 1, "coq:flag.Printing-Existential-Instances", "Printing Existential Instances"], [46, 4, 1, "coq:flag.Printing-Factorizable-Match-Patterns", "Printing Factorizable Match Patterns"], [66, 4, 1, "coq:flag.Printing-Goal-Names", "Printing Goal Names"], [66, 4, 1, "coq:flag.Printing-Goal-Tags", "Printing Goal Tags"], [46, 8, 1, "coq:table.Printing-If", "Printing If"], [44, 4, 1, "coq:flag.Printing-Implicit", "Printing Implicit"], [44, 4, 1, "coq:flag.Printing-Implicit-Defensive", "Printing Implicit Defensive"], [46, 8, 1, "coq:table.Printing-Let", "Printing Let"], [46, 4, 1, "coq:flag.Printing-Match-All-Subterms", "Printing Match All Subterms"], [46, 4, 1, "coq:flag.Printing-Matching", "Printing Matching"], [71, 4, 1, "coq:flag.Printing-Notations", "Printing Notations"], [71, 4, 1, "coq:flag.Printing-Parentheses", "Printing Parentheses"], [37, 4, 1, "coq:flag.Printing-Primitive-Projection-Parameters", "Printing Primitive Projection Parameters"], [37, 4, 1, "coq:flag.Printing-Projections", "Printing Projections"], [71, 4, 1, "coq:flag.Printing-Raw-Literals", "Printing Raw Literals"], [37, 8, 1, "coq:table.Printing-Record", "Printing Record"], [37, 4, 1, "coq:flag.Printing-Records", "Printing Records"], [12, 4, 1, "coq:flag.Printing-Relevance-Marks", "Printing Relevance Marks"], [46, 4, 1, "coq:flag.Printing-Synth", "Printing Synth"], [59, 4, 1, "coq:flag.Printing-Unfocused", "Printing Unfocused"], [37, 4, 1, "coq:flag.Printing-Unfolded-Projection-As-Match", "Printing Unfolded Projection As Match"], [14, 4, 1, "coq:flag.Printing-Universes", "Printing Universes"], [44, 4, 1, "coq:flag.Printing-Use-Implicit-Types", "Printing Use Implicit Types"], [59, 6, 1, "coq:opt.Printing-Width", "Printing Width"], [46, 4, 1, "coq:flag.Printing-Wildcard", "Printing Wildcard"], [40, 7, 1, "coq:attr.Private", "Private"], [14, 4, 1, "coq:flag.Private-Polymorphic-Universes", "Private Polymorphic Universes"], [59, 3, 1, "coq:cmd.Profile", "Profile"], [9, 7, 1, "coq:attr.Program", "Program"], [9, 4, 1, "coq:flag.Program-Cases", "Program Cases"], [9, 4, 1, "coq:flag.Program-Generalized-Coercion", "Program Generalized Coercion"], [9, 4, 1, "coq:flag.Program-Mode", "Program Mode"], [66, 3, 1, "coq:cmd.Proof", "Proof"], [66, 3, 1, "coq:cmd.Proof-Mode", "Proof Mode"], [66, 3, 1, "coq:cmd.Proof-`term`", "Proof `term`"], [66, 3, 1, "coq:cmd.Proof-using", "Proof using"], [60, 3, 1, "coq:cmd.Proof-with", "Proof with"], [32, 3, 1, "coq:cmd.Property", "Property"], [32, 3, 1, "coq:cmd.Proposition", "Proposition"], [5, 5, 1, "coq:thm.Psatz", "Psatz"], [2, 3, 1, "coq:cmd.Pwd", "Pwd"], [66, 3, 1, "coq:cmd.Qed", "Qed"], [59, 3, 1, "coq:cmd.Quit", "Quit"], [37, 3, 1, "coq:cmd.Record", "Record"], [37, 0, 1, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive", "Records declared with the keyword Record or Structure cannot be recursive"], [2, 3, 1, "coq:cmd.Recursive-Extraction", "Recursive Extraction"], [2, 3, 1, "coq:cmd.Recursive-Extraction-Library", "Recursive Extraction Library"], [59, 3, 1, "coq:cmd.Redirect", "Redirect"], [59, 3, 1, "coq:cmd.Register", "Register"], [59, 3, 1, "coq:cmd.Register-Inline", "Register Inline"], [59, 3, 1, "coq:cmd.Register-Scheme", "Register Scheme"], [64, 4, 1, "coq:flag.Regular-Subst-Tactic", "Regular Subst Tactic"], [32, 3, 1, "coq:cmd.Remark", "Remark"], [29, 3, 1, "coq:cmd.Remove", "Remove"], [60, 3, 1, "coq:cmd.Remove-Hints", "Remove Hints"], [59, 3, 1, "coq:cmd.Require", "Require"], [59, 3, 1, "coq:cmd.Require-Export", "Require Export"], [59, 3, 1, "coq:cmd.Require-Import", "Require Import"], [71, 3, 1, "coq:cmd.Reserved-Infix", "Reserved Infix"], [71, 3, 1, "coq:cmd.Reserved-Notation", "Reserved Notation"], [59, 3, 1, "coq:cmd.Reset", "Reset"], [2, 3, 1, "coq:cmd.Reset-Extraction-Blacklist", "Reset Extraction Blacklist"], [2, 3, 1, "coq:cmd.Reset-Extraction-Callback", "Reset Extraction Callback"], [2, 3, 1, "coq:cmd.Reset-Extraction-Inline", "Reset Extraction Inline"], [59, 3, 1, "coq:cmd.Reset-Initial", "Reset Initial"], [54, 3, 1, "coq:cmd.Reset-Ltac-Profile", "Reset Ltac Profile"], [66, 3, 1, "coq:cmd.Restart", "Restart"], [44, 4, 1, "coq:flag.Reversible-Pattern-Implicit", "Reversible Pattern Implicit"], [10, 3, 1, "coq:cmd.Rewrite-Rule", "Rewrite Rule"], [10, 3, 1, "coq:cmd.Rewrite-Rules", "Rewrite Rules"], [10, 0, 1, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\"", "Rewrite rule declaration requires passing the flag &quot;-allow-rewrite-rules&quot;"], [67, 4, 1, "coq:flag.Rewriting-Schemes", "Rewriting Schemes"], [11, 0, 1, "coq:exn.Ring-operation-should-be-declared-as-a-morphism", "Ring operation should be declared as a morphism"], [12, 0, 1, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off", "SProp is disallowed because the &quot;Allow StrictProp&quot; flag is off"], [66, 3, 1, "coq:cmd.Save", "Save"], [67, 3, 1, "coq:cmd.Scheme", "Scheme"], [67, 3, 1, "coq:cmd.Scheme-Boolean-Equality", "Scheme Boolean Equality"], [67, 3, 1, "coq:cmd.Scheme-Equality", "Scheme Equality"], [71, 0, 1, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore", "Scope delimiters should not start with an underscore"], [71, 0, 1, "coq:exn.Scope-names-should-not-start-with-an-underscore", "Scope names should not start with an underscore"], [59, 3, 1, "coq:cmd.Search", "Search"], [59, 8, 1, "coq:table.Search-Blacklist", "Search Blacklist"], [59, 4, 1, "coq:flag.Search-Output-Name-Only", "Search Output Name Only"], [59, 3, 1, "coq:cmd.SearchPattern", "SearchPattern"], [59, 3, 1, "coq:cmd.SearchRewrite", "SearchRewrite"], [38, 3, 1, "coq:cmd.Section", "Section"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"], [2, 3, 1, "coq:cmd.Separate-Extraction", "Separate Extraction"], [29, 3, 1, "coq:cmd.Set", "Set"], [35, 4, 1, "coq:flag.Short-Module-Printing", "Short Module Printing"], [66, 3, 1, "coq:cmd.Show", "Show"], [66, 3, 1, "coq:cmd.Show-Conjectures", "Show Conjectures"], [66, 3, 1, "coq:cmd.Show-Existentials", "Show Existentials"], [2, 3, 1, "coq:cmd.Show-Extraction", "Show Extraction"], [66, 3, 1, "coq:cmd.Show-Goal", "Show Goal"], [66, 3, 1, "coq:cmd.Show-Intro", "Show Intro"], [66, 3, 1, "coq:cmd.Show-Intros", "Show Intros"], [5, 3, 1, "coq:cmd.Show-Lia-Profile", "Show Lia Profile"], [54, 3, 1, "coq:cmd.Show-Ltac-Profile", "Show Ltac Profile"], [66, 3, 1, "coq:cmd.Show-Match", "Show Match"], [9, 3, 1, "coq:cmd.Show-Obligation-Tactic", "Show Obligation Tactic"], [66, 3, 1, "coq:cmd.Show-Proof", "Show Proof"], [66, 3, 1, "coq:cmd.Show-Universes", "Show Universes"], [5, 3, 1, "coq:cmd.Show-Zify", "Show Zify"], [35, 0, 1, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match", "Signature components for field \u2018ident\u2019 do not match"], [59, 4, 1, "coq:flag.Silent", "Silent"], [9, 3, 1, "coq:cmd.Solve-All-Obligations", "Solve All Obligations"], [9, 3, 1, "coq:cmd.Solve-Obligations", "Solve Obligations"], [66, 4, 1, "coq:flag.Solve-Unification-Constraints", "Solve Unification Constraints"], [57, 4, 1, "coq:flag.SsrHave-NoTCResolution", "SsrHave NoTCResolution"], [57, 4, 1, "coq:flag.SsrIdents", "SsrIdents"], [57, 4, 1, "coq:flag.SsrOldRewriteGoalsOrder", "SsrOldRewriteGoalsOrder"], [57, 4, 1, "coq:flag.SsrRewrite", "SsrRewrite"], [71, 2, 1, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)", "Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"], [64, 3, 1, "coq:cmd.Strategy", "Strategy"], [44, 4, 1, "coq:flag.Strict-Implicit", "Strict Implicit"], [14, 4, 1, "coq:flag.Strict-Universe-Declaration", "Strict Universe Declaration"], [71, 3, 1, "coq:cmd.String-Notation", "String Notation"], [44, 4, 1, "coq:flag.Strongly-Strict-Implicit", "Strongly Strict Implicit"], [67, 4, 1, "coq:flag.Structural-Injection", "Structural Injection"], [37, 3, 1, "coq:cmd.Structure", "Structure"], [4, 3, 1, "coq:cmd.SubClass", "SubClass"], [59, 3, 1, "coq:cmd.Succeed", "Succeed"], [66, 4, 1, "coq:flag.Suggest-Proof-Using", "Suggest Proof Using"], [10, 3, 1, "coq:cmd.Symbol", "Symbol"], [10, 3, 1, "coq:cmd.Symbols", "Symbols"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])", "Syntax error: [prim:reference] expected after &#x27;Notation&#x27; (in [vernac:command])"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])", "Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"], [71, 3, 1, "coq:cmd.Tactic-Notation", "Tactic Notation"], [54, 0, 1, "coq:exn.Tactic-failure", "Tactic failure"], [54, 0, 1, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)", "Tactic failure (level \u2018natural\u2019)"], [54, 0, 1, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds", "Tactic failure: &lt;tactic closure&gt; succeeds"], [64, 0, 1, "coq:exn.Tactic-failure:-Setoid-library-not-loaded", "Tactic failure: Setoid library not loaded"], [64, 0, 1, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal", "Tactic generated a subgoal identical to the original goal"], [64, 0, 1, "coq:exn.Terms-do-not-have-convertible-types", "Terms do not have convertible types"], [29, 3, 1, "coq:cmd.Test", "Test"], [60, 0, 1, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic", "The &quot;at&quot; syntax isn&#x27;t available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The &amp; modifier may only occur once"], [71, 2, 1, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type", "The &#x27;abstract after&#x27; directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"], [41, 0, 1, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given", "The &#x27;clear implicits&#x27; flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The &#x27;default implicits&#x27; flag is incompatible with implicit annotations"], [41, 0, 1, "coq:exn.The-/-modifier-may-only-occur-once", "The / modifier may only occur once"], [59, 0, 1, "coq:exn.The-command-has-not-failed!", "The command has not failed!"], [34, 0, 1, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019", "The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"], [46, 0, 1, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments", "The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"], [14, 0, 1, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context", "The cumulative attribute can only be used in a polymorphic context"], [46, 0, 1, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)", "The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"], [35, 0, 1, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019", "The field \u2018ident\u2019 is missing in \u2018qualid\u2019"], [72, 0, 1, "coq:exn.The-recursive-argument-must-be-specified", "The recursive argument must be specified"], [55, 0, 1, "coq:exn.The-reference-X-was-not-found-in-the-current-environment", "The reference X was not found in the current environment"], [64, 0, 1, "coq:exn.The-reference-is-not-unfoldable", "The reference is not unfoldable"], [64, 0, 1, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment", "The reference \u2018qualid\u2019 was not found in the current environment"], [58, 0, 1, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type", "The term &quot;\u2018type\u2019&quot; has type &quot;\u2018type\u2019&quot; which should be Set, Prop or Type"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant", "The term \u2018qualid\u2019 is already defined as foreign custom constant"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant", "The term \u2018qualid\u2019 is already defined as inline custom constant"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type", "The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'", "The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019&#x27;"], [67, 0, 1, "coq:exn.The-type-has-no-constructors", "The type has no constructors"], [59, 0, 1, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked", "The type \u2018ident\u2019 must be registered before this construction can be typechecked"], [46, 0, 1, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term", "The variable ident is bound several times in pattern term"], [58, 0, 1, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared", "The variable \u2018ident\u2019 is already declared"], [40, 0, 1, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019", "The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"], [32, 3, 1, "coq:cmd.Theorem", "Theorem"], [54, 0, 1, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019", "There is already an Ltac named \u2018qualid\u2019"], [54, 0, 1, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019", "There is no Ltac named \u2018qualid\u2019"], [29, 2, 1, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag or option with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag, option or table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no qualid-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no string-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [38, 0, 1, "coq:exn.There-is-nothing-to-end", "There is nothing to end"], [29, 2, 1, "coq:warn.This-command-does-not-support-this-attribute", "This command does not support this attribute"], [59, 0, 1, "coq:exn.This-object-does-not-support-universe-names", "This object does not support universe names"], [66, 0, 1, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way", "This proof is focused, but cannot be unfocused this way"], [54, 0, 1, "coq:exn.This-tactic-has-more-than-one-success", "This tactic has more than one success"], [59, 3, 1, "coq:cmd.Time", "Time"], [59, 3, 1, "coq:cmd.Timeout", "Timeout"], [71, 2, 1, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019", "To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"], [41, 0, 1, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified", "To rename arguments the &#x27;rename&#x27; flag must be specified"], [64, 3, 1, "coq:cmd.Transparent", "Transparent"], [9, 4, 1, "coq:flag.Transparent-Obligations", "Transparent Obligations"], [35, 2, 1, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!", "Trying to mask the absolute name \u2018qualid\u2019!"], [59, 3, 1, "coq:cmd.Type", "Type"], [67, 0, 1, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019", "Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"], [13, 4, 1, "coq:flag.Typeclass-Resolution-For-Conversion", "Typeclass Resolution For Conversion"], [13, 4, 1, "coq:flag.Typeclasses-Debug", "Typeclasses Debug"], [13, 6, 1, "coq:opt.Typeclasses-Debug-Verbosity", "Typeclasses Debug Verbosity"], [13, 6, 1, "coq:opt.Typeclasses-Default-Mode", "Typeclasses Default Mode"], [13, 4, 1, "coq:flag.Typeclasses-Dependency-Order", "Typeclasses Dependency Order"], [13, 6, 1, "coq:opt.Typeclasses-Depth", "Typeclasses Depth"], [13, 4, 1, "coq:flag.Typeclasses-Iterative-Deepening", "Typeclasses Iterative Deepening"], [13, 4, 1, "coq:flag.Typeclasses-Limit-Intros", "Typeclasses Limit Intros"], [13, 3, 1, "coq:cmd.Typeclasses-Opaque", "Typeclasses Opaque"], [13, 4, 1, "coq:flag.Typeclasses-Strict-Resolution", "Typeclasses Strict Resolution"], [13, 3, 1, "coq:cmd.Typeclasses-Transparent", "Typeclasses Transparent"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Instances", "Typeclasses Unique Instances"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Solutions", "Typeclasses Unique Solutions"], [13, 3, 1, "coq:cmd.Typeclasses-eauto", "Typeclasses eauto"], [67, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"], [58, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"], [46, 0, 1, "coq:exn.Unable-to-infer-a-match-predicate", "Unable to infer a match predicate"], [3, 0, 1, "coq:exn.Unable-to-satisfy-the-rewriting-constraints", "Unable to satisfy the rewriting constraints"], [58, 0, 1, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019", "Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"], [55, 0, 1, "coq:exn.Unbound-[value|constructor]-X", "Unbound [value|constructor] X"], [54, 0, 1, "coq:exn.Unbound-context-identifier-\u2018ident\u2019", "Unbound context identifier \u2018ident\u2019"], [14, 0, 1, "coq:exn.Undeclared-universe-\u2018ident\u2019", "Undeclared universe \u2018ident\u2019"], [71, 3, 1, "coq:cmd.Undelimit-Scope", "Undelimit Scope"], [66, 3, 1, "coq:cmd.Undo", "Undo"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected non-option term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected non-option term \u2018term\u2019 while parsing a string notation"], [71, 0, 1, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation", "Unexpected only parsing for an only printing notation"], [71, 0, 1, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation", "Unexpected only printing for an only parsing notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected term \u2018term\u2019 while parsing a string notation"], [66, 3, 1, "coq:cmd.Unfocus", "Unfocus"], [66, 3, 1, "coq:cmd.Unfocused", "Unfocused"], [34, 4, 1, "coq:flag.Uniform-Inductive-Parameters", "Uniform Inductive Parameters"], [14, 3, 1, "coq:cmd.Universe", "Universe"], [59, 4, 1, "coq:flag.Universe-Checking", "Universe Checking"], [14, 4, 1, "coq:flag.Universe-Minimization-ToSet", "Universe Minimization ToSet"], [14, 4, 1, "coq:flag.Universe-Polymorphism", "Universe Polymorphism"], [14, 0, 1, "coq:exn.Universe-inconsistency", "Universe inconsistency"], [59, 0, 1, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019", "Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"], [14, 3, 1, "coq:cmd.Universes", "Universes"], [71, 0, 1, "coq:exn.Unknown-custom-entry", "Unknown custom entry"], [71, 0, 1, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019", "Unknown custom entry: \u2018ident\u2019"], [66, 0, 1, "coq:exn.Unknown-inductive-type", "Unknown inductive type"], [29, 3, 1, "coq:cmd.Unset", "Unset"], [66, 3, 1, "coq:cmd.Unshelve", "Unshelve"], [71, 0, 1, "coq:exn.Unterminated-string-in-notation", "Unterminated string in notation"], [28, 2, 1, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\"", "Use of &quot;Variable&quot; or &quot;Hypothesis&quot; outside sections behaves as &quot;#[local] Parameter&quot; or &quot;#[local] Axiom&quot;"], [71, 2, 1, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax", "Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"], [13, 2, 1, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d", "Using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d"], [66, 3, 1, "coq:cmd.Validate-Proof", "Validate Proof"], [28, 3, 1, "coq:cmd.Variable", "Variable"], [66, 2, 1, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables", "Variable All is shadowed by Collection named All containing all variables"], [28, 3, 1, "coq:cmd.Variables", "Variables"], [40, 3, 1, "coq:cmd.Variant", "Variant"], [59, 6, 1, "coq:opt.Warnings", "Warnings"], [44, 0, 1, "coq:exn.Wrong-argument-name", "Wrong argument name"], [44, 0, 1, "coq:exn.Wrong-argument-position", "Wrong argument position"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here", "Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished", "Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"], [54, 1, 1, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[ \u2026 | \u2026 | \u2026 ] (dispatch)"], [54, 1, 1, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[&gt; \u2026 | \u2026 | \u2026 ] (dispatch)"], [55, 7, 1, "coq:attr.abstract", "abstract"], [66, 1, 1, "coq:tacn.abstract", "abstract"], [57, 1, 1, "coq:tacn.abstract-(ssreflect)", "abstract (ssreflect)"], [58, 1, 1, "coq:tacn.absurd", "absurd"], [71, 7, 1, "coq:attr.add_bottom", "add_bottom"], [71, 7, 1, "coq:attr.add_top", "add_top"], [66, 1, 1, "coq:tacn.admit", "admit"], [58, 1, 1, "coq:tacn.apply", "apply"], [57, 1, 1, "coq:tacn.apply-(ssreflect)", "apply (ssreflect)"], [58, 1, 1, "coq:tacn.assert", "assert"], [54, 1, 1, "coq:tacn.assert_fails", "assert_fails"], [54, 1, 1, "coq:tacn.assert_succeeds", "assert_succeeds"], [58, 1, 1, "coq:tacn.assumption", "assumption"], [60, 1, 1, "coq:tacn.auto", "auto"], [13, 1, 1, "coq:tacn.autoapply", "autoapply"], [60, 1, 1, "coq:tacn.autorewrite", "autorewrite"], [60, 1, 1, "coq:tacn.autounfold", "autounfold"], [60, 1, 1, "coq:tacn.autounfold_one", "autounfold_one"], [62, 1, 1, "coq:tacn.btauto", "btauto"], [66, 1, 1, "coq:tacn.bullet-(--+-*)", "bullet (- + *)"], [57, 1, 1, "coq:tacn.by", "by"], [59, 7, 1, "coq:attr.bypass_check(guard)", "bypass_check(guard)"], [59, 7, 1, "coq:attr.bypass_check(positivity)", "bypass_check(positivity)"], [59, 7, 1, "coq:attr.bypass_check(universes)", "bypass_check(universes)"], [42, 7, 1, "coq:attr.canonical", "canonical"], [67, 1, 1, "coq:tacn.case", "case"], [57, 1, 1, "coq:tacn.case-(ssreflect)", "case (ssreflect)"], [67, 1, 1, "coq:tacn.case_eq", "case_eq"], [64, 1, 1, "coq:tacn.cbn", "cbn"], [64, 1, 1, "coq:tacn.cbv", "cbv"], [64, 1, 1, "coq:tacn.change", "change"], [64, 1, 1, "coq:tacn.change_no_check", "change_no_check"], [58, 1, 1, "coq:tacn.classical_left", "classical_left"], [58, 1, 1, "coq:tacn.classical_right", "classical_right"], [58, 1, 1, "coq:tacn.clear", "clear"], [58, 1, 1, "coq:tacn.clear-dependent", "clear dependent"], [38, 7, 1, "coq:attr.clearbody", "clearbody"], [58, 1, 1, "coq:tacn.clearbody", "clearbody"], [71, 2, 1, "coq:warn.closed-notation-not-level-0", "closed-notation-not-level-0"], [67, 1, 1, "coq:tacn.cofix", "cofix"], [67, 1, 1, "coq:tacn.compare", "compare"], [64, 1, 1, "coq:tacn.compute", "compute"], [57, 1, 1, "coq:tacn.congr", "congr"], [62, 1, 1, "coq:tacn.congruence", "congruence"], [54, 1, 1, "coq:tacn.constr_eq", "constr_eq"], [54, 1, 1, "coq:tacn.constr_eq_nounivs", "constr_eq_nounivs"], [54, 1, 1, "coq:tacn.constr_eq_strict", "constr_eq_strict"], [67, 1, 1, "coq:tacn.constructor", "constructor"], [54, 1, 1, "coq:tacn.context", "context"], [58, 1, 1, "coq:tacn.contradict", "contradict"], [58, 1, 1, "coq:tacn.contradiction", "contradiction"], [54, 1, 1, "coq:tacn.convert", "convert"], [58, 1, 1, "coq:tacn.cut", "cut"], [66, 1, 1, "coq:tacn.cycle", "cycle"], [60, 1, 1, "coq:tacn.debug-auto", "debug auto"], [60, 1, 1, "coq:tacn.debug-eauto", "debug eauto"], [60, 1, 1, "coq:tacn.debug-trivial", "debug trivial"], [67, 1, 1, "coq:tacn.decide", "decide"], [67, 1, 1, "coq:tacn.decide-equality", "decide equality"], [67, 1, 1, "coq:tacn.decompose", "decompose"], [67, 1, 1, "coq:tacn.decompose-record", "decompose record"], [67, 1, 1, "coq:tacn.decompose-sum", "decompose sum"], [67, 1, 1, "coq:tacn.dependent-destruction", "dependent destruction"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs", "dependent generalize_eqs"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs_vars", "dependent generalize_eqs_vars"], [67, 1, 1, "coq:tacn.dependent-induction", "dependent induction"], [67, 1, 1, "coq:tacn.dependent-inversion", "dependent inversion"], [67, 1, 1, "coq:tacn.dependent-inversion_clear", "dependent inversion_clear"], [67, 1, 1, "coq:tacn.dependent-rewrite", "dependent rewrite"], [67, 1, 1, "coq:tacn.dependent-simple-inversion", "dependent simple inversion"], [74, 7, 1, "coq:attr.deprecated", "deprecated"], [67, 1, 1, "coq:tacn.destauto", "destauto"], [67, 1, 1, "coq:tacn.destruct", "destruct"], [62, 1, 1, "coq:tacn.dintuition", "dintuition"], [67, 1, 1, "coq:tacn.discriminate", "discriminate"], [54, 1, 1, "coq:tacn.do", "do"], [57, 1, 1, "coq:tacn.do-(ssreflect)", "do (ssreflect)"], [57, 1, 1, "coq:tacn.done", "done"], [62, 1, 1, "coq:tacn.dtauto", "dtauto"], [58, 1, 1, "coq:tacn.eapply", "eapply"], [58, 1, 1, "coq:tacn.eassert", "eassert"], [58, 1, 1, "coq:tacn.eassumption", "eassumption"], [60, 1, 1, "coq:tacn.easy", "easy"], [60, 1, 1, "coq:tacn.eauto", "eauto"], [67, 1, 1, "coq:tacn.ecase", "ecase"], [67, 1, 1, "coq:tacn.econstructor", "econstructor"], [67, 1, 1, "coq:tacn.edestruct", "edestruct"], [67, 1, 1, "coq:tacn.ediscriminate", "ediscriminate"], [67, 1, 1, "coq:tacn.eelim", "eelim"], [58, 1, 1, "coq:tacn.eenough", "eenough"], [58, 1, 1, "coq:tacn.eexact", "eexact"], [67, 1, 1, "coq:tacn.eexists", "eexists"], [67, 1, 1, "coq:tacn.einduction", "einduction"], [67, 1, 1, "coq:tacn.einjection", "einjection"], [58, 1, 1, "coq:tacn.eintros", "eintros"], [67, 1, 1, "coq:tacn.eleft", "eleft"], [67, 1, 1, "coq:tacn.elim", "elim"], [57, 1, 1, "coq:tacn.elim-(ssreflect)", "elim (ssreflect)"], [58, 1, 1, "coq:tacn.enough", "enough"], [58, 1, 1, "coq:tacn.epose", "epose"], [58, 1, 1, "coq:tacn.epose-proof", "epose proof"], [58, 1, 1, "coq:tacn.eremember", "eremember"], [64, 1, 1, "coq:tacn.erewrite", "erewrite"], [67, 1, 1, "coq:tacn.eright", "eright"], [58, 1, 1, "coq:tacn.eset", "eset"], [67, 1, 1, "coq:tacn.esimplify_eq", "esimplify_eq"], [67, 1, 1, "coq:tacn.esplit", "esplit"], [64, 1, 1, "coq:tacn.etransitivity", "etransitivity"], [64, 1, 1, "coq:tacn.eval", "eval"], [58, 1, 1, "coq:tacn.evar", "evar"], [58, 1, 1, "coq:tacn.exact", "exact"], [57, 1, 1, "coq:tacn.exact-(ssreflect)", "exact (ssreflect)"], [58, 1, 1, "coq:tacn.exact_no_check", "exact_no_check"], [54, 1, 1, "coq:tacn.exactly_once", "exactly_once"], [58, 1, 1, "coq:tacn.exfalso", "exfalso"], [67, 1, 1, "coq:tacn.exists", "exists"], [35, 7, 1, "coq:attr.export", "export"], [64, 1, 1, "coq:tacn.f_equal", "f_equal"], [54, 1, 1, "coq:tacn.fail", "fail"], [11, 1, 1, "coq:tacn.field", "field"], [11, 1, 1, "coq:tacn.field_lookup", "field_lookup"], [11, 1, 1, "coq:tacn.field_simplify", "field_simplify"], [11, 1, 1, "coq:tacn.field_simplify_eq", "field_simplify_eq"], [54, 1, 1, "coq:tacn.finish_timing", "finish_timing"], [54, 1, 1, "coq:tacn.first", "first"], [57, 1, 1, "coq:tacn.first-(ssreflect)", "first (ssreflect)"], [57, 9, 1, "coq:tacv.first-last", "first last"], [62, 1, 1, "coq:tacn.firstorder", "firstorder"], [67, 1, 1, "coq:tacn.fix", "fix"], [64, 1, 1, "coq:tacn.fold", "fold"], [54, 1, 1, "coq:tacn.fresh", "fresh"], [54, 1, 1, "coq:tacn.fun", "fun"], [72, 1, 1, "coq:tacn.functional-induction", "functional induction"], [72, 1, 1, "coq:tacn.functional-inversion", "functional inversion"], [58, 1, 1, "coq:tacn.generalize", "generalize"], [58, 1, 1, "coq:tacn.generalize-dependent", "generalize dependent"], [58, 1, 1, "coq:tacn.generalize_eqs", "generalize_eqs"], [58, 1, 1, "coq:tacn.generalize_eqs_vars", "generalize_eqs_vars"], [57, 1, 1, "coq:tacn.generally-have", "generally have"], [54, 1, 1, "coq:tacn.gfail", "gfail"], [66, 1, 1, "coq:tacn.give_up", "give_up"], [35, 7, 1, "coq:attr.global", "global"], [54, 1, 1, "coq:tacn.guard", "guard"], [54, 1, 1, "coq:tacn.has_evar", "has_evar"], [57, 1, 1, "coq:tacn.have", "have"], [3, 1, 1, "coq:tacn.head_of_constr", "head_of_constr"], [64, 1, 1, "coq:tacn.hnf", "hnf"], [54, 1, 1, "coq:tacn.idtac", "idtac"], [55, 1, 1, "coq:tacn.if-then-else-(Ltac2)", "if-then-else (Ltac2)"], [57, 1, 1, "coq:tacn.in", "in"], [67, 1, 1, "coq:tacn.induction", "induction"], [54, 3, 1, "coq:cmd.infoH", "infoH"], [60, 1, 1, "coq:tacn.info_auto", "info_auto"], [60, 1, 1, "coq:tacn.info_eauto", "info_eauto"], [60, 1, 1, "coq:tacn.info_trivial", "info_trivial"], [67, 1, 1, "coq:tacn.injection", "injection"], [58, 1, 1, "coq:tacn.instantiate", "instantiate"], [58, 1, 1, "coq:tacn.intro", "intro"], [58, 1, 1, "coq:tacn.intros", "intros"], [58, 1, 1, "coq:tacn.intros-until", "intros until"], [62, 1, 1, "coq:tacn.intuition", "intuition"], [67, 1, 1, "coq:tacn.inversion", "inversion"], [67, 1, 1, "coq:tacn.inversion_clear", "inversion_clear"], [67, 1, 1, "coq:tacn.inversion_sigma", "inversion_sigma"], [54, 1, 1, "coq:tacn.is_cofix", "is_cofix"], [54, 1, 1, "coq:tacn.is_const", "is_const"], [54, 1, 1, "coq:tacn.is_constructor", "is_constructor"], [54, 1, 1, "coq:tacn.is_evar", "is_evar"], [54, 1, 1, "coq:tacn.is_fix", "is_fix"], [54, 1, 1, "coq:tacn.is_ground", "is_ground"], [54, 1, 1, "coq:tacn.is_ind", "is_ind"], [54, 1, 1, "coq:tacn.is_proj", "is_proj"], [54, 1, 1, "coq:tacn.is_var", "is_var"], [58, 1, 1, "coq:tacn.lapply", "lapply"], [58, 0, 1, "coq:exn.lapply-needs-a-non-dependent-product", "lapply needs a non-dependent product"], [57, 1, 1, "coq:tacn.last", "last"], [57, 9, 1, "coq:tacv.last-first", "last first"], [64, 1, 1, "coq:tacn.lazy", "lazy"], [55, 1, 1, "coq:tacn.lazy_match!", "lazy_match!"], [55, 1, 1, "coq:tacn.lazy_match!-goal", "lazy_match! goal"], [54, 1, 1, "coq:tacn.lazymatch", "lazymatch"], [54, 1, 1, "coq:tacn.lazymatch-goal", "lazymatch goal"], [67, 1, 1, "coq:tacn.left", "left"], [54, 1, 1, "coq:tacn.let", "let"], [5, 1, 1, "coq:tacn.lia", "lia"], [35, 7, 1, "coq:attr.local", "local"], [5, 1, 1, "coq:tacn.lra", "lra"], [54, 1, 1, "coq:tacn.ltac-seq", "ltac-seq"], [54, 1, 1, "coq:tacn.match", "match"], [55, 1, 1, "coq:tacn.match-(Ltac2)", "match (Ltac2)"], [54, 1, 1, "coq:tacn.match-goal", "match goal"], [55, 1, 1, "coq:tacn.match!", "match!"], [55, 1, 1, "coq:tacn.match!-goal", "match! goal"], [60, 2, 1, "coq:warn.mismatched-hint-db", "mismatched-hint-db"], [13, 7, 1, "coq:attr.mode", "mode"], [58, 1, 1, "coq:tacn.move", "move"], [57, 1, 1, "coq:tacn.move-(ssreflect)", "move (ssreflect)"], [55, 1, 1, "coq:tacn.multi_match!", "multi_match!"], [55, 1, 1, "coq:tacn.multi_match!-goal", "multi_match! goal"], [54, 1, 1, "coq:tacn.multimatch", "multimatch"], [54, 1, 1, "coq:tacn.multimatch-goal", "multimatch goal"], [58, 1, 1, "coq:tacn.native_cast_no_check", "native_cast_no_check"], [64, 1, 1, "coq:tacn.native_compute", "native_compute"], [5, 1, 1, "coq:tacn.nia", "nia"], [4, 7, 1, "coq:attr.nonuniform", "nonuniform"], [54, 0, 1, "coq:exn.not-a-cofix-definition", "not a cofix definition"], [54, 0, 1, "coq:exn.not-a-constant", "not a constant"], [54, 0, 1, "coq:exn.not-a-constructor", "not a constructor"], [54, 0, 1, "coq:exn.not-a-fix-definition", "not a fix definition"], [54, 0, 1, "coq:exn.not-a-primitive-projection", "not a primitive projection"], [54, 0, 1, "coq:exn.not-an-(co)inductive-datatype", "not an (co)inductive datatype"], [54, 1, 1, "coq:tacn.not_evar", "not_evar"], [71, 2, 1, "coq:warn.notation-incompatible-prefix", "notation-incompatible-prefix"], [60, 1, 1, "coq:tacn.now", "now"], [64, 1, 1, "coq:tacn.now_show", "now_show"], [5, 1, 1, "coq:tacn.nra", "nra"], [7, 1, 1, "coq:tacn.nsatz", "nsatz"], [7, 1, 1, "coq:tacn.nsatz_compute", "nsatz_compute"], [54, 1, 1, "coq:tacn.numgoals", "numgoals"], [54, 1, 1, "coq:tacn.once", "once"], [54, 1, 1, "coq:tacn.only", "only"], [54, 1, 1, "coq:tacn.optimize_heap", "optimize_heap"], [57, 1, 1, "coq:tacn.over", "over"], [71, 0, 1, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019", "overflow in int63 literal \u2018bigint\u2019"], [64, 1, 1, "coq:tacn.pattern", "pattern"], [58, 1, 1, "coq:tacn.pose", "pose"], [57, 1, 1, "coq:tacn.pose-(ssreflect)", "pose (ssreflect)"], [58, 1, 1, "coq:tacn.pose-proof", "pose proof"], [71, 2, 1, "coq:warn.postfix-notation-not-level-1", "postfix-notation-not-level-1"], [40, 7, 1, "coq:attr.private(matching)", "private(matching)"], [9, 7, 1, "coq:attr.program", "program"], [54, 1, 1, "coq:tacn.progress", "progress"], [37, 7, 1, "coq:attr.projections(primitive)", "projections(primitive)"], [11, 1, 1, "coq:tacn.protect_fv", "protect_fv"], [5, 1, 1, "coq:tacn.psatz", "psatz"], [59, 0, 1, "coq:exn.public-name-according-to-findlib,-for-example", "public name according to findlib, for example"], [58, 1, 1, "coq:tacn.rapply", "rapply"], [64, 1, 1, "coq:tacn.red", "red"], [13, 7, 1, "coq:attr.refine", "refine"], [58, 1, 1, "coq:tacn.refine", "refine"], [64, 1, 1, "coq:tacn.reflexivity", "reflexivity"], [58, 1, 1, "coq:tacn.remember", "remember"], [58, 1, 1, "coq:tacn.rename", "rename"], [54, 1, 1, "coq:tacn.repeat", "repeat"], [64, 1, 1, "coq:tacn.replace", "replace"], [54, 1, 1, "coq:tacn.reset-ltac-profile", "reset ltac profile"], [54, 1, 1, "coq:tacn.restart_timer", "restart_timer"], [4, 7, 1, "coq:attr.reversible", "reversible"], [58, 1, 1, "coq:tacn.revert", "revert"], [58, 1, 1, "coq:tacn.revert-dependent", "revert dependent"], [66, 1, 1, "coq:tacn.revgoals", "revgoals"], [64, 1, 1, "coq:tacn.rewrite", "rewrite"], [57, 1, 1, "coq:tacn.rewrite-(ssreflect)", "rewrite (ssreflect)"], [64, 1, 1, "coq:tacn.rewrite-*", "rewrite *"], [3, 1, 1, "coq:tacn.rewrite_db", "rewrite_db"], [3, 1, 1, "coq:tacn.rewrite_strat", "rewrite_strat"], [67, 1, 1, "coq:tacn.right", "right"], [11, 1, 1, "coq:tacn.ring", "ring"], [11, 1, 1, "coq:tacn.ring_lookup", "ring_lookup"], [11, 1, 1, "coq:tacn.ring_simplify", "ring_simplify"], [62, 1, 1, "coq:tacn.rtauto", "rtauto"], [58, 1, 1, "coq:tacn.set", "set"], [57, 1, 1, "coq:tacn.set-(ssreflect)", "set (ssreflect)"], [3, 1, 1, "coq:tacn.setoid_etransitivity", "setoid_etransitivity"], [3, 1, 1, "coq:tacn.setoid_reflexivity", "setoid_reflexivity"], [3, 1, 1, "coq:tacn.setoid_replace", "setoid_replace"], [3, 1, 1, "coq:tacn.setoid_rewrite", "setoid_rewrite"], [3, 1, 1, "coq:tacn.setoid_symmetry", "setoid_symmetry"], [3, 1, 1, "coq:tacn.setoid_transitivity", "setoid_transitivity"], [59, 0, 1, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid", "shared library failed: Coq Error: \u2018string\u2019 is not a valid"], [66, 1, 1, "coq:tacn.shelve", "shelve"], [66, 1, 1, "coq:tacn.shelve_unifiable", "shelve_unifiable"], [54, 1, 1, "coq:tacn.show-ltac-profile", "show ltac profile"], [64, 1, 1, "coq:tacn.simpl", "simpl"], [58, 1, 1, "coq:tacn.simple-apply", "simple apply"], [62, 1, 1, "coq:tacn.simple-congruence", "simple congruence"], [67, 1, 1, "coq:tacn.simple-destruct", "simple destruct"], [58, 1, 1, "coq:tacn.simple-eapply", "simple eapply"], [67, 1, 1, "coq:tacn.simple-induction", "simple induction"], [67, 1, 1, "coq:tacn.simple-injection", "simple injection"], [67, 1, 1, "coq:tacn.simple-inversion", "simple inversion"], [64, 1, 1, "coq:tacn.simple-subst", "simple subst"], [67, 1, 1, "coq:tacn.simplify_eq", "simplify_eq"], [72, 1, 1, "coq:tacn.soft-functional-induction", "soft functional induction"], [54, 1, 1, "coq:tacn.solve", "solve"], [66, 1, 1, "coq:tacn.solve_constraints", "solve_constraints"], [58, 1, 1, "coq:tacn.specialize", "specialize"], [58, 1, 1, "coq:tacn.specialize_eqs", "specialize_eqs"], [67, 1, 1, "coq:tacn.split", "split"], [54, 1, 1, "coq:tacn.start-ltac-profiling", "start ltac profiling"], [64, 1, 1, "coq:tacn.stepl", "stepl"], [64, 1, 1, "coq:tacn.stepr", "stepr"], [54, 1, 1, "coq:tacn.stop-ltac-profiling", "stop ltac profiling"], [64, 1, 1, "coq:tacn.subst", "subst"], [64, 1, 1, "coq:tacn.substitute", "substitute"], [57, 1, 1, "coq:tacn.suff", "suff"], [57, 1, 1, "coq:tacn.suffices", "suffices"], [66, 1, 1, "coq:tacn.swap", "swap"], [64, 1, 1, "coq:tacn.symmetry", "symmetry"], [62, 1, 1, "coq:tacn.tauto", "tauto"], [34, 0, 1, "coq:exn.template-and-polymorphism-not-compatible", "template and polymorphism not compatible"], [54, 1, 1, "coq:tacn.time", "time"], [54, 1, 1, "coq:tacn.time_constr", "time_constr"], [54, 1, 1, "coq:tacn.timeout", "timeout"], [64, 1, 1, "coq:tacn.transitivity", "transitivity"], [66, 1, 1, "coq:tacn.transparent_abstract", "transparent_abstract"], [60, 1, 1, "coq:tacn.trivial", "trivial"], [54, 1, 1, "coq:tacn.try", "try"], [54, 1, 1, "coq:tacn.tryif", "tryif"], [54, 1, 1, "coq:tacn.type-of", "type of"], [54, 1, 1, "coq:tacn.type_term", "type_term"], [13, 1, 1, "coq:tacn.typeclasses-eauto", "typeclasses eauto"], [57, 1, 1, "coq:tacn.under", "under"], [64, 1, 1, "coq:tacn.unfold", "unfold"], [54, 1, 1, "coq:tacn.unify", "unify"], [14, 7, 1, "coq:attr.universes(cumulative)", "universes(cumulative)"], [14, 7, 1, "coq:attr.universes(polymorphic)", "universes(polymorphic)"], [34, 7, 1, "coq:attr.universes(template)", "universes(template)"], [57, 1, 1, "coq:tacn.unlock", "unlock"], [66, 1, 1, "coq:tacn.unshelve", "unshelve"], [66, 7, 1, "coq:attr.using", "using"], [58, 1, 1, "coq:tacn.vm_cast_no_check", "vm_cast_no_check"], [64, 1, 1, "coq:tacn.vm_compute", "vm_compute"], [74, 7, 1, "coq:attr.warn", "warn"], [29, 7, 1, "coq:attr.warning", "warning"], [29, 7, 1, "coq:attr.warnings", "warnings"], [64, 1, 1, "coq:tacn.with_strategy", "with_strategy"], [57, 1, 1, "coq:tacn.without-loss", "without loss"], [5, 1, 1, "coq:tacn.wlia", "wlia"], [57, 1, 1, "coq:tacn.wlog", "wlog"], [5, 1, 1, "coq:tacn.wlra_Q", "wlra_Q"], [5, 1, 1, "coq:tacn.wnia", "wnia"], [5, 1, 1, "coq:tacn.wnra_Q", "wnra_Q"], [5, 1, 1, "coq:tacn.wpsatz_Q", "wpsatz_Q"], [5, 1, 1, "coq:tacn.wpsatz_Z", "wpsatz_Z"], [5, 1, 1, "coq:tacn.wsos_Q", "wsos_Q"], [5, 1, 1, "coq:tacn.wsos_Z", "wsos_Z"], [5, 1, 1, "coq:tacn.xlia", "xlia"], [5, 1, 1, "coq:tacn.xlra_Q", "xlra_Q"], [5, 1, 1, "coq:tacn.xlra_R", "xlra_R"], [5, 1, 1, "coq:tacn.xnia", "xnia"], [5, 1, 1, "coq:tacn.xnra_Q", "xnra_Q"], [5, 1, 1, "coq:tacn.xnra_R", "xnra_R"], [5, 1, 1, "coq:tacn.xpsatz_Q", "xpsatz_Q"], [5, 1, 1, "coq:tacn.xpsatz_R", "xpsatz_R"], [5, 1, 1, "coq:tacn.xpsatz_Z", "xpsatz_Z"], [5, 1, 1, "coq:tacn.xsos_Q", "xsos_Q"], [5, 1, 1, "coq:tacn.xsos_R", "xsos_R"], [5, 1, 1, "coq:tacn.xsos_Z", "xsos_Z"], [5, 1, 1, "coq:tacn.zify", "zify"], [5, 1, 1, "coq:tacn.zify_elim_let", "zify_elim_let"], [5, 1, 1, "coq:tacn.zify_iter_let", "zify_iter_let"], [5, 1, 1, "coq:tacn.zify_iter_specs", "zify_iter_specs"], [5, 1, 1, "coq:tacn.zify_op", "zify_op"], [5, 1, 1, "coq:tacn.zify_saturate", "zify_saturate"], [66, 1, 1, "coq:tacn.{", "{"], [54, 1, 1, "coq:tacn.||-(first-tactic-making-progress)", "|| (first tactic making progress)"], [66, 1, 1, "coq:tacn.}", "}"], [4, 0, 1, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant", "\u2018coercion_class\u2019 must be a transparent constant"], [37, 0, 1, "coq:exn.\u2018ident\u2019-already-exists", "\u2018ident\u2019 already exists"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined", "\u2018ident\u2019 cannot be defined"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not", "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined", "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"], [13, 2, 1, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass", "\u2018ident\u2019 is already declared as a typeclass"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-already-used", "\u2018ident\u2019 is already used"], [66, 2, 1, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable", "\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-not-a-local-definition", "\u2018ident\u2019 is not a local definition"], [67, 0, 1, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types", "\u2018ident\u2019 is not an equality of \u03a3 types"], [64, 0, 1, "coq:exn.\u2018ident\u2019-is-opaque", "\u2018ident\u2019 is opaque"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion", "\u2018ident\u2019 is used in the conclusion"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019", "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"], [66, 2, 1, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command", "\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing &quot;Proof using&quot; command"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint", "\u2018qualid\u2019 cannot be used as a hint"], [64, 0, 1, "coq:exn.\u2018qualid\u2019-does-not-occur", "\u2018qualid\u2019 does not occur"], [4, 2, 1, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition", "\u2018qualid\u2019 does not respect the uniform inheritance condition"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-already-a-coercion", "\u2018qualid\u2019 is already a coercion"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference", "\u2018qualid\u2019 is bound to a notation that does not denote a reference"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-function", "\u2018qualid\u2019 is not a function"], [35, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-module", "\u2018qualid\u2019 is not a module"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type", "\u2018qualid\u2019 is not an inductive type"], [59, 0, 1, "coq:exn.\u2018qualid\u2019-not-a-defined-object", "\u2018qualid\u2019 not a defined object"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-not-declared", "\u2018qualid\u2019 not declared"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019", "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"], [74, 2, 1, "coq:warn.\u2018string\u2019", "\u2018string\u2019"], [71, 0, 1, "coq:exn.\u2018type\u2019-is-not-an-inductive-type", "\u2018type\u2019 is not an inductive type"], [71, 2, 1, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation", "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"], [54, 1, 1, "coq:tacn.\u2026-:-\u2026-(goal-selector)", "\u2026 : \u2026 (goal selector)"], [57, 1, 1, "coq:tacn.\u2026-:-\u2026-(ssreflect)", "\u2026 : \u2026 (ssreflect)"]], "..": [[4, 2, 1, "coq:warn....-is-not-definitionally-an-identity-function", " is not definitionally an identity function"]], "Argument \u2018name\u2019 is a trailing implicit, so it can&#x27;t be declared non maximal": [[44, 0, 1, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]", " Please use { } instead of [ ]"]], "Cannot infer a term for this placeholder": [[44, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)", " (Casual use of implicit arguments)"], [58, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)", " (refine)"]], "Compiled library \u2018ident\u2019": [[59, 0, 1, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019", "vo makes inconsistent assumptions over library \u2018qualid\u2019"]], "Duplicate clear of H": [[57, 2, 1, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H", " Use { }H instead of { H }H"]], "File ... found twice in ..": [[59, 2, 1, "coq:warn.File-...-found-twice-in-...", ""]], "Goal is solvable by congruence but some arguments are missing": [[62, 0, 1, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms", " Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]], "Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Ltac Profiler encountered an invalid stack (no self node)": [[54, 2, 1, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution", " This can happen if you reset the profile during tactic execution"]], "Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last &quot;Proof.&quot; with &quot;Qed.&quot; or &quot;Defined.&quot;": [[32, 0, 1, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on", " If you really intended to use nested proofs, you can do so by turning the &quot;Nested Proofs Allowed&quot; flag on"]], "New coercion path ... is ambiguous with existing ..": [[4, 2, 1, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...", ""]], "No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop": [[67, 0, 1, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities", " You can try to use option Set Keep Proof Equalities"]], "No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..": [[58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)", ")"]], "No such goal": [[54, 0, 1, "coq:exn.No-such-goal.-(Goal-selector)", " (Goal selector)"], [54, 0, 1, "coq:exn.No-such-goal.-(fail)", " (fail)"], [66, 0, 1, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019", " Focus next goal with bullet \u2018bullet\u2019"], [66, 0, 1, "coq:exn.No-such-goal.-Try-unfocusing-with-}", " Try unfocusing with }"]], "Notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Proof is not complete": [[66, 0, 1, "coq:exn.Proof-is-not-complete.-(abstract)", " (abstract)"], [58, 0, 1, "coq:exn.Proof-is-not-complete.-(assert)", " (assert)"]], "Require inside a module is deprecated and strongly discouraged": [[59, 2, 1, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one", " You can Require a module at toplevel and optionally Import it inside another one"]], "Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..": [[59, 0, 1, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)", ")"]], "SSReflect: cannot obtain new equations out of ..": [[57, 2, 1, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...", ""]], "Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "The file \u2018ident\u2019": [[59, 0, 1, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019", "vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]], "The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add &#x27;: assert&#x27; to silence the warning. If you want to clear implicit arguments, add &#x27;: clear implicits&#x27;": [[41, 2, 1, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'", " If you want to clear notation scopes, add &#x27;: clear scopes&#x27;"]], "This hint is not local but depends on a section variable": [[60, 2, 1, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed", " It will disappear when the section is closed"]], "Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019": [[71, 2, 1, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation", " This might yield ill typed terms when using the notation"]], "Unable to apply lemma of type &quot;...&quot; on hypothesis of type &quot;..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", "&quot;"]], "Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning": [[46, 2, 1, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.", ""]], "package-name": [[59, 0, 1, "coq:exn.package-name.foo-and-not-foo_plugin", "foo and not foo_plugin"]], "plugin name anymore": [[59, 0, 1, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their", " Plugins should be loaded using their"]], "\u2018ident\u2019 already exists": [[28, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)", " (Axiom)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)", " (Definition)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)", " (Theorem)"]], "\u2018qualid\u2019 should go from Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)", "string to \u2018type\u2019 or (option \u2018type\u2019)"]], "\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to T or (option T), where T is either Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string", "string"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]], "\u2018string\u2019 cannot be interpreted as a known notation": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]]}, "objtypes": {"0": "coq:exn", "1": "coq:tacn", "2": "coq:warn", "3": "coq:cmd", "4": "coq:flag", "5": "coq:thm", "6": "coq:opt", "7": "coq:attr", "8": "coq:table", "9": "coq:tacv"}, "objnames": {"0": ["coq", "exn", "Coq exn"], "1": ["coq", "tacn", "Coq tacn"], "2": ["coq", "warn", "Coq warn"], "3": ["coq", "cmd", "Coq cmd"], "4": ["coq", "flag", "Coq flag"], "5": ["coq", "thm", "Coq thm"], "6": ["coq", "opt", "Coq opt"], "7": ["coq", "attr", "Coq attr"], "8": ["coq", "table", "Coq table"], "9": ["coq", "tacv", "Coq tacv"]}, "titleterms": {"program": [2, 6, 9, 27, 55, 60], "extract": [2, 17, 24], "gener": [2, 3, 4, 11, 14, 23, 29, 44, 54, 55, 57, 67, 71, 72], "ml": [2, 55], "code": 2, "option": [2, 17, 21, 29, 51, 66, 75], "set": [2, 13, 26, 29, 37, 41, 57, 58, 60, 66], "target": [2, 53], "languag": [2, 17, 24, 25, 33, 45, 55, 57], "inlin": [2, 59], "optim": [2, 54], "extra": [2, 59], "elimin": [2, 46, 57], "useless": 2, "argument": [2, 37, 41, 44, 46, 53, 57, 67, 71], "realiz": 2, "axiom": 2, "induct": [2, 26, 34, 40, 46, 67, 71, 72], "type": [2, 3, 4, 10, 17, 26, 28, 30, 32, 34, 35, 37, 38, 40, 44, 46, 54, 55, 57, 59, 67, 71], "ffi": 2, "avoid": 2, "conflict": 2, "exist": [2, 24, 35], "filenam": [2, 53], "addit": [2, 57, 60], "differ": [2, 44, 66], "between": [2, 55, 59, 66], "rocq": [2, 25, 51, 53, 57, 60, 71, 74, 75], "system": [2, 35], "some": [2, 35], "exampl": [2, 3, 4, 5, 6, 11, 14, 17, 26, 27, 28, 29, 30, 31, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "A": [2, 14, 35, 58, 67], "detail": [2, 17, 24, 53], "euclidean": 2, "divis": 2, "": [2, 41, 67], "horror": 2, "museum": 2, "user": [2, 3, 10, 24, 27], "contribut": [2, 24, 27], "rewrit": [3, 10, 57, 64, 67], "introduct": [3, 25, 57], "relat": 3, "morphism": 3, "parametr": [3, 46, 57], "continu": [3, 41, 44], "contravari": 3, "ad": [3, 11, 52], "new": [3, 11, 17, 24, 35, 53, 57, 63], "nonreflex": 3, "nonsymmetr": 3, "covari": 3, "ambigu": 3, "setoid": [3, 64], "context": [3, 13, 54, 55, 57, 58], "valu": [3, 46, 54, 55], "declar": [3, 13, 38, 41, 42, 44, 55, 57, 66, 67], "command": [3, 13, 17, 19, 24, 35, 51, 52, 57, 59, 66, 67, 71, 75, 76], "tactic": [3, 5, 11, 17, 22, 24, 27, 43, 54, 55, 57, 58, 60, 61, 63, 64, 67, 71, 72, 74], "first": [3, 34, 46, 54, 57], "class": [3, 4, 37, 55, 71], "enabl": [3, 66, 71], "provid": [3, 46], "print": [3, 4, 14, 37, 43, 44, 46, 54, 55, 59, 71, 75], "deprec": [3, 74], "syntax": [3, 10, 17, 24, 29, 44, 46, 54, 55, 57, 71], "backward": [3, 58], "incompat": [3, 17], "extens": [3, 24, 45, 46, 57, 71], "under": [3, 57], "binder": [3, 28, 44, 57, 71], "subrel": 3, "constant": [3, 37, 59, 71], "unfold": [3, 41, 64], "dure": 3, "proper": 3, "instanc": [3, 13, 43], "search": [3, 59, 60], "strategi": [3, 46, 64], "usag": [3, 11, 57, 66, 75], "definit": [3, 9, 12, 14, 30, 32, 34, 37, 40, 46, 54, 55, 57, 64, 71], "innermost": 3, "outermost": 3, "implicit": [4, 41, 44, 46, 60, 71], "coercion": [4, 46, 71], "present": [4, 14], "revers": [4, 44, 54, 55, 64], "ident": [4, 54], "inherit": [4, 71], "graph": 4, "displai": [4, 43, 44, 52, 59, 71], "avail": 4, "activ": 4, "record": [4, 37], "section": [4, 13, 14, 38, 66, 75], "modul": [4, 35, 53], "function": [4, 28, 30, 34, 41, 44, 54, 60, 72], "applic": [4, 28, 44, 54, 58], "us": [4, 14, 25, 35, 37, 38, 43, 44, 46, 51, 52, 53, 54, 58, 64, 66, 67, 71], "attribut": [4, 17, 18, 29, 35, 38], "micromega": 5, "solver": [5, 7, 11, 61, 62], "arithmet": [5, 27], "goal": [5, 11, 54, 55, 57, 58, 66, 67], "over": [5, 9, 55, 57], "order": [5, 10, 58], "ring": [5, 11], "short": 5, "descript": 5, "positivstellensatz": 5, "refut": 5, "lra": 5, "decis": 5, "procedur": 5, "linear": 5, "real": [5, 17], "ration": [5, 11], "lia": 5, "integ": [5, 36, 71], "high": 5, "level": [5, 10, 29, 30, 32, 34, 55], "view": [5, 57], "cut": [5, 54], "plane": 5, "proof": [5, 8, 12, 14, 25, 31, 32, 46, 54, 57, 58, 60, 65, 66], "case": [5, 24, 40, 52, 57, 58, 67], "split": [5, 53], "nra": 5, "non": [5, 12, 34, 44, 54, 55, 58, 67, 71], "nia": 5, "psatz": 5, "zifi": 5, "pre": 5, "process": [5, 8, 54], "deriv": [6, 42, 67], "nsatz": 7, "equal": [7, 9, 27, 62, 64, 67], "integr": 7, "domain": 7, "more": 7, "about": [7, 46, 71], "asynchron": [8, 52], "parallel": 8, "annot": 8, "automat": [8, 11, 34, 41, 43, 44, 61, 67], "suggest": 8, "block": [8, 57], "error": [8, 20, 54, 55], "resili": 8, "caveat": [8, 30], "interact": [8, 35, 44, 51, 54, 55, 57], "mode": [8, 44, 52, 55, 57, 66], "limit": [8, 67], "number": [8, 54, 60, 71], "worker": 8, "elabor": 9, "syntact": [9, 54, 55], "control": [9, 35, 44, 46, 54, 57, 58, 59, 64, 66], "fixpoint": [9, 34], "lemma": [9, 27, 66], "solv": [9, 43, 54, 66], "oblig": 9, "frequent": 9, "ask": 9, "question": 9, "defin": [10, 34, 35, 37, 54, 55, 60], "rule": [10, 26, 31, 34, 38, 57, 64, 71, 75], "symbol": [10, 52, 54], "pattern": [10, 44, 46, 54, 55, 57, 58, 59, 71], "higher": 10, "hole": [10, 54], "univers": [10, 14], "polymorph": [10, 14, 34, 57], "preserv": 10, "confluenc": 10, "termin": [10, 12, 57], "compat": [10, 17, 37, 55, 57, 74], "eta": 10, "law": 10, "support": [10, 29, 52], "field": [11, 35, 37], "polynomi": 11, "equat": [11, 57], "what": 11, "doe": [11, 46], "thi": 11, "do": [11, 54], "The": [11, 26, 27, 34, 35, 44, 51, 53, 57, 71, 75], "variabl": [11, 43, 44, 46, 51, 52, 55, 66], "map": 11, "i": [11, 54, 58], "concret": [11, 24], "structur": [11, 42, 57], "how": [11, 66], "work": [11, 53, 66], "deal": 11, "side": [11, 46], "histori": [11, 15, 24], "discuss": 11, "sprop": 12, "irrelev": [12, 31], "proposit": [12, 27, 54], "basic": [12, 27, 29, 52, 53, 54, 57, 65, 71], "construct": [12, 24, 26, 34, 37, 40, 54, 59], "encod": [12, 52], "strict": [12, 34, 44, 55], "uip": 12, "debug": [12, 54, 55, 59], "issu": [12, 17, 57], "typeclass": [13, 57], "bind": [13, 41, 52, 55, 58, 71], "parameter": [13, 34, 71], "build": [13, 53], "hierarchi": [13, 42], "superclass": 13, "substructur": 13, "summari": [13, 17, 24, 35, 38], "transpar": 13, "opaqu": 13, "eauto": 13, "monomorph": 14, "cumul": 14, "noncumul": 14, "specifi": 14, "demonstr": 14, "varianc": 14, "weak": 14, "constraint": [14, 66], "global": [14, 54, 71], "local": [14, 29, 35, 38, 46, 53, 54, 57, 58, 60, 71], "convers": [14, 31, 64], "unif": [14, 58, 66], "minim": 14, "explicit": [14, 43, 44, 57], "sort": [14, 34, 39], "recent": [15, 17], "chang": [15, 17, 24, 55], "index": [16, 18, 19, 20, 21, 22, 23, 34, 57, 69], "unreleas": 17, "kernel": 17, "specif": [17, 25, 27], "infer": [17, 43, 44], "notat": [17, 27, 42, 54, 55, 59, 71], "ltac": [17, 54, 55], "ltac2": [17, 55], "ssreflect": [17, 57], "line": [17, 51, 75, 76], "tool": [17, 24, 76], "rocqid": [17, 52], "standard": [17, 24, 55, 57, 60, 71], "librari": [17, 24, 27, 51, 53, 59, 60, 71, 73, 74], "infrastructur": 17, "depend": [17, 46, 53, 58, 59, 67], "miscellan": [17, 24], "version": [17, 24, 53], "9": 17, "0": [17, 24], "8": 17, "20": 17, "coqid": 17, "1": [17, 24, 37, 67], "19": 17, "2": [17, 24, 37, 67], "18": 17, "17": 17, "16": 17, "15": 17, "14": 17, "nativ": [17, 53], "compil": [17, 51, 52, 53, 59], "13": 17, "beta1": 17, "12": 17, "flag": [17, 21, 29, 59], "refer": [17, 54, 59], "manual": [17, 41, 44], "11": 17, "10": 17, "other": [17, 44, 66], "beta2": 17, "beta3": 17, "7": [17, 24], "potenti": 17, "6": [17, 24], "sourc": [17, 75], "6beta1": 17, "5": [17, 24], "5beta1": 17, "5beta2": 17, "5beta3": 17, "5pl1": 17, "5pl2": 17, "5pl3": 17, "4": [17, 24], "4beta": 17, "4beta2": 17, "3": [17, 24, 71], "1beta": 17, "1gamma": 17, "0beta": 17, "old": 17, "warn": [20, 53, 74], "tabl": [21, 29], "earli": 24, "coq": [24, 27, 52], "histor": 24, "root": [24, 53], "main": 24, "novelti": 24, "let": [24, 32, 46, 54, 57], "long": 24, "name": [24, 35, 37, 54, 66], "reduct": [24, 31, 34, 37, 55, 59, 64], "effici": 24, "pars": [24, 44, 55, 71], "grammar": [24, 53], "content": 25, "prover": [25, 51, 53], "appendix": 25, "term": [26, 54, 55, 64, 71], "subtyp": [26, 44], "calculu": 26, "impred": 26, "prelud": 27, "logic": [27, 53, 54, 60, 62], "connect": 27, "quantifi": 27, "datatyp": 27, "well": [27, 34], "found": 27, "recurs": [27, 30, 34, 55, 71, 72], "assumpt": [28, 57], "fun": 28, "foral": 28, "simpl": [28, 31, 34, 35, 55, 64, 71], "notion": 29, "convent": [29, 46], "lexic": 29, "stack": [29, 52], "overflow": 29, "nat": 29, "essenti": 29, "vocabulari": 29, "document": [29, 53, 75], "unset": 29, "coinduct": 30, "corecurs": 30, "co": 30, "cofix": 30, "top": [30, 32, 34], "\u03b1": 31, "\u03b2": 31, "\u03b4": 31, "\u03b9": 31, "\u03b6": 31, "\u03b7": 31, "expans": [31, 46], "delta": 31, "fix": [31, 34], "beta": 31, "match": [31, 34, 37, 40, 46, 54, 55, 57], "convert": 31, "cast": 32, "assert": 32, "core": 33, "prop": 34, "lower": 34, "mutual": 34, "theori": 34, "object": [34, 36, 46, 74], "form": 34, "ariti": 34, "given": 34, "constructor": [34, 67], "posit": 34, "condit": [34, 54, 57], "nest": [34, 46], "correct": 34, "neg": 34, "occurr": [34, 57, 58, 67], "second": [34, 46, 54, 58], "strictli": 34, "templat": [34, 52], "destructor": 34, "end": [34, 38], "creat": [35, 37, 43, 60, 63], "omit": 35, "item": [35, 57], "from": [35, 44, 55], "an": [35, 57, 59, 67], "functor": 35, "paramet": [35, 46, 51, 57], "two": [35, 54], "sub": 35, "share": 35, "qualifi": 35, "scope": [35, 41, 71], "primit": [36, 37, 59, 71], "float": 36, "arrai": 36, "byte": 36, "base": 36, "string": [36, 71], "reus": 37, "multipl": [37, 41, 46, 53, 54, 55, 57], "claus": [37, 46, 58], "access": 37, "project": [37, 53], "anonym": [37, 57], "variant": [40, 46, 57, 58], "privat": 40, "properti": [41, 54, 71], "altern": [41, 54], "implicits_alt": 41, "default": [41, 46], "renam": 41, "effect": [41, 55], "bidirection": 41, "hint": [41, 57, 59, 60], "canon": 42, "overload": 42, "compact": 42, "existenti": [43, 57], "subterm": [43, 46], "e": 43, "can": 43, "appli": [43, 57, 58, 64, 67], "v": [43, 55, 57], "eappli": 43, "resolut": [43, 44, 57], "pretti": [43, 44, 46, 75], "kind": 44, "knowledg": 44, "maxim": 44, "insert": 44, "trail": 44, "casual": 44, "contextu": [44, 57], "follow": 44, "combin": [44, 58, 67], "explicitli": 44, "give": 44, "when": [44, 46, 57], "deactiv": 44, "extend": [46, 57], "boolean": [46, 54, 57], "express": [46, 54, 55, 71], "irrefut": 46, "destructur": [46, 57], "factor": [46, 71], "same": [46, 53], "right": [46, 67], "hand": 46, "wildcard": [46, 57], "predic": [46, 57, 67], "hidden": 46, "unus": 46, "alias": 46, "subpattern": 46, "disjunct": 46, "understand": 46, "must": 46, "write": [46, 65, 74], "involv": [46, 71], "fail": [46, 54, 57], "repl": 51, "batch": 51, "load": [51, 53, 59], "singl": [51, 54], "file": [51, 52, 53, 59, 74, 75], "custom": [51, 52, 71], "launch": 51, "time": [51, 53, 54], "coqrc": 51, "start": [51, 57], "up": 51, "script": [51, 52], "environ": [51, 59], "profil": [51, 54, 55], "interfac": 51, "produc": 51, "vo": 51, "checker": 51, "rocqchk": 51, "manag": [52, 58, 66], "buffer": 52, "edit": 52, "run": [52, 54], "queri": [52, 59], "prefer": 52, "kei": 52, "unicod": 52, "input": 52, "charact": 52, "save": 52, "debugg": [52, 54], "breakpoint": 52, "call": [52, 55], "configur": 53, "instal": 53, "packag": 53, "opam": 53, "setup": 53, "your": 53, "own": 53, "_coqproject": 53, "overview": [53, 55], "path": [53, 59], "modifi": 53, "interdepend": 53, "uninstal": 53, "upgrad": 53, "makefil": 53, "comment": 53, "quot": 53, "c": 53, "forbidden": 53, "No": 53, "common": [53, 58], "coqmakefil": 53, "late": 53, "perform": [53, 58], "test": [53, 54], "subset": 53, "j": 53, "precompil": 53, "native_comput": [53, 64], "dune": 53, "dep": 53, "comput": [53, 54, 64], "embed": 53, "phrase": 53, "insid": [53, 54, 75], "latex": [53, 75], "man": 53, "page": 53, "macro": 54, "defect": [54, 57], "substitut": 54, "selector": [54, 57], "reorder": [54, 66], "focus": [54, 66], "branch": [54, 57], "backtrack": [54, 55, 59], "flow": [54, 57, 58], "sequenc": 54, "loop": 54, "repeat": 54, "catch": [54, 55], "try": 54, "tryif": 54, "succe": 54, "list": [54, 55, 75], "make": 54, "progress": 54, "detect": 54, "success": 54, "failur": 54, "check": 54, "assert_succe": 54, "assert_fail": 54, "soft": 54, "onc": 54, "exactly_onc": 54, "manipul": 54, "comparison": [54, 55], "lazymatch": 54, "multimatch": 54, "hypothes": [54, 55, 58, 59, 66], "wai": [54, 55], "fill": 54, "fresh": 54, "hypothesi": [54, 58], "eval": [54, 64], "get": [54, 57], "untyp": 54, "type_term": 54, "count": 54, "numgoal": 54, "guard": 54, "is_fix": 54, "is_cofix": 54, "is_proj": 54, "timeout": 54, "evalu": [54, 55], "time_constr": 54, "idtac": 54, "toplevel": 54, "natur": [54, 55, 60, 67], "have": [54, 57], "least": 54, "element": [54, 58], "prove": [54, 66, 67], "permut": 54, "decid": [54, 67], "intuitionist": 54, "isomorph": 54, "backtrac": 54, "trace": 54, "execut": 54, "design": 55, "compon": 55, "api": 55, "dynam": 55, "mutabl": 55, "cell": 55, "io": 55, "fatal": 55, "meta": 55, "quotat": 55, "built": 55, "antiquot": 55, "semant": 55, "static": 55, "lazy_match": 55, "multi_match": 55, "abbrevi": [55, 57, 71], "layer": 55, "ltac1": 55, "low": 55, "switch": [55, 57], "transit": 55, "delai": [55, 66], "In": 55, "except": 55, "acknowledg": 57, "gallina": 57, "assign": 57, "select": 57, "bookkeep": 57, "move": [57, 58], "elim": 57, "discharg": 57, "clear": 57, "exact": 57, "abstract": [57, 66], "simplif": 57, "intro": [57, 58], "famili": 57, "indent": 57, "bullet": [57, 66], "iter": 57, "entri": [57, 71], "suff": 57, "wlog": 57, "advanc": [57, 72], "remark": 57, "redex": 57, "chain": 57, "step": [57, 66], "ar": [57, 66], "repetit": 57, "multi": 57, "licit": 57, "metavari": 57, "One": 57, "liner": 57, "lock": 57, "unlock": 57, "congruenc": 57, "recurr": 57, "reflect": 57, "interpret": [57, 71], "special": [57, 58], "mechan": 57, "equival": [57, 58], "shortcut": 57, "synopsi": 57, "reserv": [58, 71], "keyword": [58, 59], "invoc": 58, "b": 58, "compound": 58, "theorem": 58, "reason": [58, 64, 67], "includ": 58, "premis": [58, 67], "forward": 58, "until": 58, "simple_bind": 58, "partial": 58, "product": 58, "contradict": 58, "classic": 58, "orient": 58, "part": [59, 75], "identifi": [59, 71], "disambigu": 59, "conclus": 59, "statu": 59, "searchpattern": 59, "searchrewrit": 59, "request": [59, 66], "locat": [59, 71], "quit": 59, "full": 59, "intern": 59, "registr": 59, "expos": 59, "ocaml": 59, "fast": [59, 64], "machin": 59, "regist": 59, "oper": 59, "programm": [60, 61], "ackermann": 60, "maccarthi": 60, "databas": 60, "autom": 60, "leibniz": 64, "fold": 64, "doesn": 64, "t": 64, "alwai": 64, "undo": 64, "fold_right": 64, "vm_comput": 64, "algorithm": 64, "state": 66, "enter": 66, "exit": 66, "curli": 66, "brace": 66, "shelv": 66, "shelve_unifi": 66, "cycl": 66, "swap": 66, "revgoal": 66, "subgoal": 66, "separ": 66, "inform": [66, 71], "show": [66, 75], "diff": 66, "calcul": 66, "mainten": 66, "memori": 66, "left": 67, "analysi": 67, "destruct": 67, "discrimin": 67, "n": 67, "invers": 67, "or_and_intropattern": 67, "inversion_sigma": 67, "helper": 67, "principl": [67, 72, 75], "scheme": [67, 72], "tree": 67, "forest": 67, "odd": 67, "even": 67, "variou": 67, "scheme_typ": 67, "larger": 67, "glossari": 69, "preced": 71, "associ": 71, "complex": 71, "infix": 71, "simultan": 71, "disabl": 71, "bound": 71, "both": 71, "predefin": 71, "open": 71, "type_scop": 71, "function_scop": 71, "radix": 71, "plugin": [73, 74], "trigger": 74, "introduc": 74, "alia": 74, "doc": 75, "materi": 75, "emphasi": 75, "escap": 75, "html": 75, "verbatim": 75, "hyperlink": 75, "hide": 75, "style": 75, "graphic": 76, "bibliographi": 77}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 8, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.todo": 2, "sphinxcontrib.bibtex": 9, "coqrst.coqdomain": 2, "sphinx": 57}, "alltitles": {"Program extraction": [[2, "program-extraction"]], "Generating ML Code": [[2, "generating-ml-code"]], "Extraction Options": [[2, "extraction-options"]], "Setting the target language": [[2, "setting-the-target-language"]], "Inlining and optimizations": [[2, "inlining-and-optimizations"]], "Extra elimination of useless arguments": [[2, "extra-elimination-of-useless-arguments"]], "Realizing axioms": [[2, "realizing-axioms"]], "Realizing inductive types": [[2, "realizing-inductive-types"]], "Generating FFI Code": [[2, "generating-ffi-code"]], "Avoiding conflicts with existing filenames": [[2, "avoiding-conflicts-with-existing-filenames"]], "Additional settings": [[2, "additional-settings"]], "Differences between Rocq and ML type systems": [[2, "differences-between-rocq-and-ml-type-systems"]], "Some examples": [[2, "some-examples"]], "A detailed example: Euclidean division": [[2, "a-detailed-example-euclidean-division"]], "Extraction's horror museum": [[2, "extraction-s-horror-museum"]], "Users' Contributions": [[2, "users-contributions"]], "Generalized rewriting": [[3, "generalized-rewriting"]], "Introduction to generalized rewriting": [[3, "introduction-to-generalized-rewriting"]], "Relations and morphisms": [[3, "relations-and-morphisms"]], "Example: Parametric relation": [[3, null], [3, null]], "Example: Parametric relation (continued)": [[3, null]], "Example: Morphisms": [[3, null]], "Example: Contravariant morphisms": [[3, null]], "Example: Rewriting": [[3, null]], "Adding new relations and morphisms": [[3, "adding-new-relations-and-morphisms"]], "Example": [[3, null], [3, null], [3, null], [3, null], [3, null], [3, null], [6, null], [11, null], [11, null], [11, null], [17, null], [26, null], [27, null], [30, null], [30, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [35, null], [35, null], [35, null], [35, null], [35, null], [37, null], [37, null], [40, null], [40, null], [41, null], [41, null], [41, null], [41, null], [41, null], [41, null], [42, null], [42, null], [42, null], [44, null], [44, null], [44, null], [44, null], [46, null], [46, null], [46, null], [46, null], [46, null], [46, null], [52, null], [53, null], [53, null], [53, null], [53, null], [53, null], [53, null], [53, null], [53, null], [54, null], [54, null], [54, null], [54, null], [55, null], [55, null], [55, null], [55, null], [55, null], [55, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [58, null], [58, "simple-apply-ex"], [58, null], [58, null], [58, null], [58, null], [58, null], [59, null], [60, null], [60, null], [60, null], [62, null], [62, null], [62, null], [62, null], [64, null], [64, null], [64, null], [64, null], [64, null], [64, null], [66, null], [66, null], [66, null], [66, null], [67, null], [67, null], [67, null], [67, null], [67, null], [67, null], [67, null], [71, null], [72, null], [72, null], [72, null], [75, null], [75, null], [75, null], [75, null]], "Rewriting and nonreflexive relations": [[3, "rewriting-and-nonreflexive-relations"]], "Rewriting and nonsymmetric relations": [[3, "rewriting-and-nonsymmetric-relations"]], "Example: Covariance and contravariance": [[3, null]], "Rewriting in ambiguous setoid contexts": [[3, "rewriting-in-ambiguous-setoid-contexts"]], "Rewriting with Type valued relations": [[3, "rewriting-with-type-valued-relations"]], "Declaring rewrite relations": [[3, "declaring-rewrite-relations"]], "Commands and tactics": [[3, "commands-and-tactics"]], "First class setoids and morphisms": [[3, "first-class-setoids-and-morphisms"]], "Example: First class setoids": [[3, null]], "Tactics enabled on user provided relations": [[3, "tactics-enabled-on-user-provided-relations"]], "Printing relations and morphisms": [[3, "printing-relations-and-morphisms"]], "Deprecated syntax and backward incompatibilities": [[3, "deprecated-syntax-and-backward-incompatibilities"]], "Extensions": [[3, "extensions"]], "Rewriting under binders": [[3, "rewriting-under-binders"], [57, "rewriting-under-binders"]], "Subrelations": [[3, "subrelations"]], "Constant unfolding during rewriting": [[3, "constant-unfolding-during-rewriting"]], "Constant unfolding during Proper-instance search": [[3, "constant-unfolding-during-proper-instance-search"]], "Strategies for rewriting": [[3, "strategies-for-rewriting"]], "Usage": [[3, "usage"], [57, "usage"], [75, "usage"]], "Definitions": [[3, "definitions"], [32, "definitions"], [57, "definitions"]], "Example: innermost and outermost": [[3, "rewrite-strat-innermost-outermost"]], "Implicit Coercions": [[4, "implicit-coercions"]], "General Presentation": [[4, "general-presentation"], [14, "general-presentation"]], "Coercion Classes": [[4, "coercion-classes"], [4, "id2"]], "Coercions": [[4, "id1"]], "Reversible Coercions": [[4, "reversible-coercions"]], "Identity Coercions": [[4, "identity-coercions"]], "Inheritance Graph": [[4, "inheritance-graph"]], "Displaying Available Coercions": [[4, "displaying-available-coercions"]], "Activating the Printing of Coercions": [[4, "activating-the-printing-of-coercions"]], "Classes as Records": [[4, "classes-as-records"]], "Coercions and Sections": [[4, "coercions-and-sections"]], "Coercions and Modules": [[4, "coercions-and-modules"]], "Examples": [[4, "examples"], [31, "examples"], [35, "examples"], [57, "examples"]], "Example: Coercion at function application": [[4, null]], "Example: Coercion to a type": [[4, null]], "Example: Coercion to a function": [[4, null]], "Example: Reversible coercions": [[4, "example-reversible-coercion"]], "Example: Reversible coercions using the reversible attribute": [[4, "example-reversible-coercion-attribute"]], "Example: Identity coercions.": [[4, "example-identity-coercion"]], "Example: Inheritance Graph": [[4, null]], "Micromega: solvers for arithmetic goals over ordered rings": [[5, "micromega-solvers-for-arithmetic-goals-over-ordered-rings"]], "Short description of the tactics": [[5, "short-description-of-the-tactics"]], "Positivstellensatz refutations": [[5, "positivstellensatz-refutations"]], "lra: a decision procedure for linear real and rational arithmetic": [[5, "lra-a-decision-procedure-for-linear-real-and-rational-arithmetic"]], "lia: a tactic for linear integer arithmetic": [[5, "lia-a-tactic-for-linear-integer-arithmetic"]], "High level view of lia": [[5, "high-level-view-of-lia"]], "Cutting plane proofs": [[5, "cutting-plane-proofs"]], "Example: Cutting plane": [[5, null]], "Case split": [[5, "case-split"]], "nra: a proof procedure for non-linear arithmetic": [[5, "nra-a-proof-procedure-for-non-linear-arithmetic"]], "nia: a proof procedure for non-linear integer arithmetic": [[5, "nia-a-proof-procedure-for-non-linear-integer-arithmetic"]], "psatz: a proof procedure for non-linear arithmetic": [[5, "psatz-a-proof-procedure-for-non-linear-arithmetic"]], "zify: pre-processing of arithmetic goals": [[5, "zify-pre-processing-of-arithmetic-goals"]], "Example: Lra": [[5, "lra-example"]], "Program derivation": [[6, "program-derivation"]], "Nsatz: a solver for equalities in integral domains": [[7, "nsatz-a-solver-for-equalities-in-integral-domains"]], "More about nsatz": [[7, "more-about-nsatz"]], "Asynchronous and Parallel Proof Processing": [[8, "asynchronous-and-parallel-proof-processing"]], "Proof annotations": [[8, "proof-annotations"]], "Automatic suggestion of proof annotations": [[8, "automatic-suggestion-of-proof-annotations"]], "Proof blocks and error resilience": [[8, "proof-blocks-and-error-resilience"]], "Caveats": [[8, "caveats"], [8, "id3"]], "Interactive mode": [[8, "interactive-mode"], [57, "interactive-mode"]], "Limiting the number of parallel workers": [[8, "limiting-the-number-of-parallel-workers"]], "Program": [[9, "program"]], "Elaborating programs": [[9, "elaborating-programs"]], "Syntactic control over equalities": [[9, "syntactic-control-over-equalities"]], "Program Definition": [[9, "program-definition"]], "Program Fixpoint": [[9, "program-fixpoint"]], "Program Lemma": [[9, "program-lemma"]], "Solving obligations": [[9, "solving-obligations"]], "Frequently Asked Questions": [[9, "frequently-asked-questions"]], "User-defined rewrite rules": [[10, "user-defined-rewrite-rules"]], "Symbols": [[10, "symbols"]], "Rewrite rules": [[10, "id1"]], "Pattern syntax": [[10, "pattern-syntax"]], "Higher-order pattern holes": [[10, "higher-order-pattern-holes"]], "Universe polymorphic rules": [[10, "universe-polymorphic-rules"]], "Rewrite rules, type preservation, confluence and termination": [[10, "rewrite-rules-type-preservation-confluence-and-termination"]], "Compatibility with the eta laws": [[10, "compatibility-with-the-eta-laws"]], "Level of support": [[10, "level-of-support"]], "ring and field: solvers for polynomial and rational equations": [[11, "ring-and-field-solvers-for-polynomial-and-rational-equations"]], "What does this tactic do?": [[11, "what-does-this-tactic-do"]], "The variables map": [[11, "the-variables-map"]], "Is it automatic?": [[11, "is-it-automatic"]], "Concrete usage": [[11, "concrete-usage"]], "Adding a ring structure": [[11, "adding-a-ring-structure"]], "How does it work?": [[11, "how-does-it-work"]], "Dealing with fields": [[11, "dealing-with-fields"]], "Example: field that generates side goals": [[11, null]], "Adding a new field structure": [[11, "adding-a-new-field-structure"]], "History of ring": [[11, "history-of-ring"]], "Discussion": [[11, "discussion"]], "SProp (proof irrelevant propositions)": [[12, "sprop-proof-irrelevant-propositions"]], "Basic constructs": [[12, "basic-constructs"]], "Encodings for strict propositions": [[12, "encodings-for-strict-propositions"]], "Definitional UIP": [[12, "definitional-uip"]], "Non Termination with UIP": [[12, "non-termination-with-uip"]], "Debugging \\SProp issues": [[12, "debugging-sprop-issues"]], "Typeclasses": [[13, "typeclasses"]], "Typeclass and instance declarations": [[13, "typeclass-and-instance-declarations"]], "Binding typeclasses": [[13, "binding-typeclasses"]], "Parameterized instances": [[13, "parameterized-instances"]], "Sections and contexts": [[13, "sections-and-contexts"]], "Building hierarchies": [[13, "building-hierarchies"]], "Superclasses": [[13, "superclasses"]], "Substructures": [[13, "substructures"]], "Command summary": [[13, "command-summary"]], "Typeclasses Transparent, Typeclasses Opaque": [[13, "typeclasses-transparent-typeclasses-opaque"]], "Settings": [[13, "settings"], [29, "settings"], [57, "settings"]], "Typeclasses eauto": [[13, "typeclasses-eauto"]], "Polymorphic Universes": [[14, "polymorphic-universes"]], "Polymorphic, Monomorphic": [[14, "polymorphic-monomorphic"]], "Cumulative, NonCumulative": [[14, "cumulative-noncumulative"]], "Specifying cumulativity": [[14, "specifying-cumulativity"]], "Example: Demonstration of universe variances": [[14, null]], "Example: A proof using cumulativity": [[14, null]], "Cumulativity Weak Constraints": [[14, "cumulativity-weak-constraints"]], "Global and local universes": [[14, "global-and-local-universes"]], "Conversion and unification": [[14, "conversion-and-unification"]], "Minimization": [[14, "minimization"]], "Explicit Universes": [[14, "explicit-universes"]], "Printing universes": [[14, "printing-universes"]], "Polymorphic definitions": [[14, "polymorphic-definitions"]], "Sort polymorphism": [[14, "sort-polymorphism"]], "Universe polymorphism and sections": [[14, "universe-polymorphism-and-sections"]], "History and recent changes": [[15, "history-and-recent-changes"]], "Indexes": [[16, "indexes"]], "Recent changes": [[17, "recent-changes"]], "Unreleased changes": [[17, "unreleased-changes"]], "Kernel": [[17, "kernel"], [17, "id9"], [17, "id118"], [17, "id310"], [17, "id333"], [17, "id484"], [17, "id528"], [17, "id674"], [17, "id835"], [17, "id976"], [17, "id998"], [17, "id1166"], [17, "id1226"], [17, "id1399"], [17, "id1420"], [17, "id1567"], [17, "id1571"], [17, "id1585"]], "Specification language, type inference": [[17, "specification-language-type-inference"], [17, "id16"], [17, "changes-spec-language"], [17, "id338"], [17, "id504"], [17, "id534"], [17, "id679"], [17, "id847"], [17, "id1001"], [17, "id1233"], [17, "id1402"], [17, "id1430"], [17, "id1588"]], "Notations": [[17, "notations"], [17, "id35"], [17, "id146"], [17, "id313"], [17, "id350"], [17, "id489"], [17, "id507"], [17, "id547"], [17, "id685"], [17, "id859"], [17, "id1012"], [17, "id1171"], [17, "id1244"], [17, "id1459"], [17, "id1609"], [27, "notations"], [55, "notations"], [71, "notations"]], "Tactics": [[17, "tactics"], [17, "id38"], [17, "id155"], [17, "id318"], [17, "id385"], [17, "id491"], [17, "id510"], [17, "id560"], [17, "id693"], [17, "id865"], [17, "id1029"], [17, "id1174"], [17, "id1199"], [17, "id1261"], [17, "id1405"], [17, "id1492"], [17, "id1630"], [27, "tactics"], [57, "tactics"], [58, "tactics"], [60, "tactics"], [72, "tactics"]], "Ltac language": [[17, "ltac-language"], [17, "id182"], [17, "id420"], [17, "id713"]], "Ltac2 language": [[17, "ltac2-language"], [17, "id52"], [17, "id187"], [17, "ltac2"], [17, "id494"], [17, "id513"], [17, "id580"], [17, "id716"]], "SSReflect": [[17, "ssreflect"], [17, "id63"], [17, "id212"], [17, "id740"], [17, "id899"], [17, "id1079"], [17, "id1318"], [17, "id1519"], [17, "id1680"]], "Commands and options": [[17, "commands-and-options"], [17, "id67"], [17, "id221"], [17, "id442"], [17, "id515"], [17, "id598"], [17, "id742"], [17, "id901"], [17, "id985"], [17, "id1088"], [17, "id1321"], [17, "id1410"], [17, "id1523"], [17, "id1565"]], "Command-line tools": [[17, "command-line-tools"], [17, "id89"], [17, "id252"], [17, "id460"], [17, "id629"], [17, "id771"], [17, "id927"], [17, "id1120"], [17, "id1183"], [17, "id1344"]], "RocqIDE": [[17, "rocqide"], [17, "id95"], [52, "rocqide"]], "Standard library": [[17, "standard-library"], [17, "id104"], [17, "renaming-stdlib"], [17, "stdlib"], [17, "id641"], [17, "id777"], [17, "id934"], [17, "id1142"], [17, "id1216"], [17, "id1363"], [17, "id1544"], [17, "id1750"], [24, "standard-library"]], "Infrastructure and dependencies": [[17, "infrastructure-and-dependencies"], [17, "id107"], [17, "id287"], [17, "id499"], [17, "id522"], [17, "id662"], [17, "id797"], [17, "id953"], [17, "id1155"], [17, "id1390"], [17, "id1559"], [17, "id1825"]], "Extraction": [[17, "extraction"], [17, "id304"], [17, "id480"], [17, "id665"], [17, "id965"], [17, "id1161"], [17, "id1787"], [24, "extraction"]], "Miscellaneous": [[17, "miscellaneous"], [17, "id112"], [17, "id817"], [17, "id1194"], [17, "id1396"]], "Version 9.0": [[17, "version-9-0"]], "Summary of changes": [[17, "summary-of-changes"], [17, "id115"], [17, "id321"], [17, "id526"], [17, "id668"], [17, "id828"], [17, "id991"], [17, "id1219"], [17, "id1415"], [17, "id1579"], [17, "id1885"], [17, "id2023"], [17, "id2170"], [17, "id2172"], [17, "id2173"], [17, "id2174"], [17, "id2175"], [17, "id2177"], [17, "id2180"], [17, "id2181"], [17, "id2183"], [17, "id2184"], [24, "summary-of-changes"]], "Changes in 9.0.0": [[17, "changes-in-9-0-0"]], "Version 8.20": [[17, "version-8-20"]], "Changes in 8.20.0": [[17, "changes-in-8-20-0"]], "CoqIDE": [[17, "coqide"], [17, "id519"], [17, "id638"], [17, "id932"], [17, "id988"], [17, "id1135"], [17, "id1185"], [17, "id1204"], [17, "id1359"], [17, "id1541"], [17, "id1569"], [17, "id1747"]], "Changes in 8.20.1": [[17, "changes-in-8-20-1"]], "Version 8.19": [[17, "version-8-19"]], "Changes in 8.19.0": [[17, "changes-in-8-19-0"]], "Changes in 8.19.1": [[17, "changes-in-8-19-1"]], "Changes in 8.19.2": [[17, "changes-in-8-19-2"]], "Version 8.18": [[17, "version-8-18"]], "Changes in 8.18.0": [[17, "changes-in-8-18-0"]], "Version 8.17": [[17, "version-8-17"]], "Changes in 8.17.0": [[17, "changes-in-8-17-0"]], "Changes in 8.17.1": [[17, "changes-in-8-17-1"]], "Version 8.16": [[17, "version-8-16"]], "Changes in 8.16.0": [[17, "changes-in-8-16-0"]], "Tactic language": [[17, "tactic-language"], [17, "id1076"], [17, "id1298"], [17, "id1513"], [17, "id1576"], [17, "id1671"]], "Changes in 8.16.1": [[17, "changes-in-8-16-1"]], "Version 8.15": [[17, "version-8-15"]], "Changes in 8.15.0": [[17, "changes-in-8-15-0"]], "Changes in 8.15.1": [[17, "changes-in-8-15-1"]], "Changes in 8.15.2": [[17, "changes-in-8-15-2"]], "Version 8.14": [[17, "version-8-14"]], "Changes in 8.14.0": [[17, "changes-in-8-14-0"]], "Native Compilation": [[17, "native-compilation"]], "Changes in 8.14.1": [[17, "changes-in-8-14-1"]], "Version 8.13": [[17, "version-8-13"]], "Changes in 8.13+beta1": [[17, "changes-in-8-13-beta1"]], "Tools": [[17, "tools"], [17, "id1712"], [24, "tools"]], "Changes in 8.13.0": [[17, "changes-in-8-13-0"]], "Changes in 8.13.1": [[17, "changes-in-8-13-1"]], "Changes in 8.13.2": [[17, "changes-in-8-13-2"]], "Version 8.12": [[17, "version-8-12"]], "Changes in 8.12+beta1": [[17, "changes-in-8-12-beta1"]], "Flags, options and attributes": [[17, "flags-options-and-attributes"]], "Commands": [[17, "id1694"], [57, "commands"], [59, "commands"]], "Reals library": [[17, "reals-library"]], "Reference manual": [[17, "refman"]], "Changes in 8.12.0": [[17, "changes-in-8-12-0"]], "Changes in 8.12.1": [[17, "changes-in-8-12-1"]], "Changes in 8.12.2": [[17, "changes-in-8-12-2"]], "Version 8.11": [[17, "version-8-11"]], "Changes in 8.11+beta1": [[17, "changes-in-8-11-beta1"]], "Changes in 8.11.0": [[17, "changes-in-8-11-0"]], "Changes in 8.11.1": [[17, "changes-in-8-11-1"]], "Changes in 8.11.2": [[17, "changes-in-8-11-2"]], "Version 8.10": [[17, "version-8-10"]], "Other changes in 8.10+beta1": [[17, "other-changes-in-8-10-beta1"]], "Changes in 8.10+beta2": [[17, "changes-in-8-10-beta2"]], "Changes in 8.10+beta3": [[17, "changes-in-8-10-beta3"]], "Changes in 8.10.0": [[17, "changes-in-8-10-0"]], "Changes in 8.10.1": [[17, "changes-in-8-10-1"]], "Changes in 8.10.2": [[17, "changes-in-8-10-2"]], "Version 8.9": [[17, "version-8-9"]], "Details of changes in 8.9+beta1": [[17, "details-of-changes-in-8-9-beta1"]], "Changes in 8.8.0": [[17, "changes-in-8-8-0"]], "Changes in 8.8.1": [[17, "changes-in-8-8-1"]], "Version 8.8": [[17, "version-8-8"]], "Details of changes in 8.8+beta1": [[17, "details-of-changes-in-8-8-beta1"]], "Details of changes in 8.8.0": [[17, "details-of-changes-in-8-8-0"]], "Details of changes in 8.8.1": [[17, "details-of-changes-in-8-8-1"]], "Details of changes in 8.8.2": [[17, "details-of-changes-in-8-8-2"]], "Version 8.7": [[17, "version-8-7"]], "Potential compatibility issues": [[17, "potential-compatibility-issues"]], "Details of changes in 8.7+beta1": [[17, "details-of-changes-in-8-7-beta1"]], "Details of changes in 8.7+beta2": [[17, "details-of-changes-in-8-7-beta2"]], "Details of changes in 8.7.0": [[17, "details-of-changes-in-8-7-0"]], "Details of changes in 8.7.1": [[17, "details-of-changes-in-8-7-1"]], "Details of changes in 8.7.2": [[17, "details-of-changes-in-8-7-2"]], "Version 8.6": [[17, "version-8-6"]], "Potential sources of incompatibilities": [[17, "potential-sources-of-incompatibilities"], [17, "id2176"], [17, "id2179"]], "Details of changes in 8.6beta1": [[17, "details-of-changes-in-8-6beta1"]], "Details of changes in 8.6": [[17, "details-of-changes-in-8-6"]], "Details of changes in 8.6.1": [[17, "details-of-changes-in-8-6-1"]], "Version 8.5": [[17, "version-8-5"]], "Details of changes in 8.5beta1": [[17, "details-of-changes-in-8-5beta1"]], "Details of changes in 8.5beta2": [[17, "details-of-changes-in-8-5beta2"]], "Details of changes in 8.5beta3": [[17, "details-of-changes-in-8-5beta3"]], "Details of changes in 8.5": [[17, "details-of-changes-in-8-5"]], "Details of changes in 8.5pl1": [[17, "details-of-changes-in-8-5pl1"]], "Details of changes in 8.5pl2": [[17, "details-of-changes-in-8-5pl2"]], "Details of changes in 8.5pl3": [[17, "details-of-changes-in-8-5pl3"]], "Version 8.4": [[17, "version-8-4"]], "Details of changes in 8.4beta": [[17, "details-of-changes-in-8-4beta"]], "Details of changes in 8.4beta2": [[17, "details-of-changes-in-8-4beta2"]], "Details of changes in 8.4": [[17, "details-of-changes-in-8-4"]], "Version 8.3": [[17, "version-8-3"]], "Details of changes": [[17, "details-of-changes"], [17, "id2182"], [24, "details-of-changes"]], "Version 8.2": [[17, "version-8-2"]], "Version 8.1": [[17, "version-8-1"]], "Details of changes in 8.1beta": [[17, "details-of-changes-in-8-1beta"]], "Details of changes in 8.1gamma": [[17, "details-of-changes-in-8-1gamma"]], "Details of changes in 8.1": [[17, "details-of-changes-in-8-1"]], "Version 8.0": [[17, "version-8-0"]], "Details of changes in 8.0beta old syntax": [[17, "details-of-changes-in-8-0beta-old-syntax"]], "Details of changes in 8.0beta new syntax": [[17, "details-of-changes-in-8-0beta-new-syntax"]], "Details of changes in 8.0": [[17, "details-of-changes-in-8-0"]], "Attribute index": [[18, "attribute-index"]], "Command index": [[19, "command-index"]], "Errors and warnings index": [[20, "errors-and-warnings-index"]], "Flags, options and tables index": [[21, "flags-options-and-tables-index"]], "Tactic index": [[22, "tactic-index"]], "General index": [[23, "general-index"]], "Early history of Coq": [[24, "early-history-of-coq"]], "Historical roots": [[24, "historical-roots"]], "Versions 1 to 5": [[24, "versions-1-to-5"]], "Version 1": [[24, "version-1"]], "Version 2": [[24, "version-2"]], "Version 3": [[24, "version-3"]], "Version 4": [[24, "version-4"]], "Version 5": [[24, "version-5"]], "Versions 6": [[24, "versions-6"]], "Version 6.1": [[24, "version-6-1"]], "Version 6.2": [[24, "version-6-2"]], "Version 6.3": [[24, "version-6-3"]], "Versions 7": [[24, "versions-7"]], "Details of changes in 7.0 and 7.1": [[24, "details-of-changes-in-7-0-and-7-1"]], "Main novelties": [[24, "main-novelties"]], "Language: new \"let-in\" construction": [[24, "language-new-let-in-construction"]], "Language: long names": [[24, "language-long-names"]], "Language: miscellaneous": [[24, "language-miscellaneous"]], "Language: Cases": [[24, "language-cases"]], "Reduction": [[24, "reduction"], [37, "reduction"], [55, "reduction"]], "New tactics": [[24, "new-tactics"]], "Changes in existing tactics": [[24, "changes-in-existing-tactics"]], "Efficiency": [[24, "efficiency"]], "Concrete syntax of constructions": [[24, "concrete-syntax-of-constructions"]], "Parsing and grammar extension": [[24, "parsing-and-grammar-extension"]], "New commands": [[24, "new-commands"]], "Changes in existing commands": [[24, "changes-in-existing-commands"]], "New user contributions": [[24, "new-user-contributions"]], "Details of changes in 7.2": [[24, "details-of-changes-in-7-2"]], "Details of changes in 7.3": [[24, "details-of-changes-in-7-3"]], "Changes in 7.3.1": [[24, "changes-in-7-3-1"]], "Details of changes in 7.4": [[24, "details-of-changes-in-7-4"]], "Introduction and Contents": [[25, "introduction-and-contents"]], "Contents": [[25, "contents"]], "Specification language": [[25, null]], "Proofs": [[25, null]], "Using the Rocq Prover": [[25, null]], "Appendix": [[25, null]], "Typing rules": [[26, "typing-rules"], [26, "id4"]], "The terms": [[26, "the-terms"]], "Subtyping rules": [[26, "subtyping-rules"]], "The Calculus of Inductive Constructions with impredicative Set": [[26, "the-calculus-of-inductive-constructions-with-impredicative-set"]], "The Coq libraries": [[27, "the-coq-libraries"]], "The prelude": [[27, "the-prelude"]], "Logic": [[27, "logic"]], "Propositional Connectives": [[27, "propositional-connectives"]], "Quantifiers": [[27, "quantifiers"]], "Equality": [[27, "equality"]], "Lemmas": [[27, "lemmas"]], "Datatypes": [[27, "datatypes"]], "Programming": [[27, "programming"]], "Specification": [[27, "specification"]], "Basic Arithmetic": [[27, "basic-arithmetic"]], "Well-founded recursion": [[27, "well-founded-recursion"]], "Users\u2019 contributions": [[27, "users-contributions"]], "Functions and assumptions": [[28, "functions-and-assumptions"]], "Binders": [[28, "binders"]], "Functions (fun) and function types (forall)": [[28, "functions-fun-and-function-types-forall"]], "Function application": [[28, "function-application"]], "Assumptions": [[28, "assumptions"]], "Example: Simple assumptions": [[28, null]], "Basic notions and conventions": [[29, "basic-notions-and-conventions"]], "Syntax and lexical conventions": [[29, "syntax-and-lexical-conventions"]], "Syntax conventions": [[29, "syntax-conventions"]], "Lexical conventions": [[29, "lexical-conventions"]], "Example: Stack overflow with nat": [[29, null]], "Essential vocabulary": [[29, "essential-vocabulary"]], "Attributes": [[29, "attributes"]], "Generic attributes": [[29, "generic-attributes"]], "Document-level attributes": [[29, "document-level-attributes"]], "Flags, Options and Tables": [[29, "flags-options-and-tables"]], "Locality attributes supported by Set and Unset": [[29, "locality-attributes-supported-by-set-and-unset"]], "Coinductive types and corecursive functions": [[30, "coinductive-types-and-corecursive-functions"]], "Coinductive types": [[30, "coinductive-types"]], "Caveat": [[30, "caveat"]], "Co-recursive functions: cofix": [[30, "co-recursive-functions-cofix"]], "Top-level definitions of corecursive functions": [[30, "top-level-definitions-of-corecursive-functions"]], "Conversion rules": [[31, "conversion-rules"]], "\u03b1-conversion": [[31, "conversion"]], "\u03b2-reduction": [[31, "reduction"]], "\u03b4-reduction": [[31, "delta-reduction-sect"]], "\u03b9-reduction": [[31, "id4"]], "\u03b6-reduction": [[31, "id6"]], "\u03b7-expansion": [[31, "expansion"]], "Example: Simple delta, fix, beta and match reductions": [[31, null]], "Proof Irrelevance": [[31, "proof-irrelevance"]], "Convertibility": [[31, "convertibility"]], "Let-in definitions": [[32, "let-in-definitions"]], "Type cast": [[32, "type-cast"]], "Top-level definitions": [[32, "top-level-definitions"]], "Assertions and proofs": [[32, "assertions-and-proofs"]], "Core language": [[33, "core-language"]], "Inductive types and recursive functions": [[34, "inductive-types-and-recursive-functions"]], "Inductive types": [[34, "inductive-types"]], "Simple inductive types": [[34, "simple-inductive-types"]], "Automatic Prop lowering": [[34, "automatic-prop-lowering"]], "Simple indexed inductive types": [[34, "simple-indexed-inductive-types"]], "Parameterized inductive types": [[34, "parameterized-inductive-types"]], "Mutually defined inductive types": [[34, "mutually-defined-inductive-types"]], "Example: Mutually defined inductive types": [[34, null]], "Recursive functions: fix": [[34, "recursive-functions-fix"]], "Top-level recursive functions": [[34, "top-level-recursive-functions"]], "Example: Mutual fixpoints": [[34, null]], "Theory of inductive definitions": [[34, "theory-of-inductive-definitions"]], "Types of inductive objects": [[34, "types-of-inductive-objects"]], "Well-formed inductive definitions": [[34, "well-formed-inductive-definitions"]], "Arity of a given sort": [[34, "arity-of-a-given-sort"]], "Arity": [[34, "arity"]], "Type of constructor": [[34, "type-of-constructor"]], "Positivity Condition": [[34, "positivity-condition"]], "Strict positivity": [[34, "strict-positivity"]], "Nested Positivity": [[34, "nested-positivity"]], "Correctness rules": [[34, "correctness-rules"]], "Example: Negative occurrence (first example)": [[34, null]], "Example: Negative occurrence (second example)": [[34, null]], "Example: Non strictly positive occurrence": [[34, null]], "Template polymorphism": [[34, "template-polymorphism"]], "Destructors": [[34, "destructors"]], "The match ... with ... end construction": [[34, "the-match-with-end-construction"]], "Fixpoint definitions": [[34, "fixpoint-definitions"]], "Typing rule": [[34, "id10"]], "Reduction rule": [[34, "reduction-rule"]], "The Module System": [[35, "the-module-system"]], "Modules and module types": [[35, "modules-and-module-types"]], "Using modules": [[35, "using-modules"]], "Example: Defining a simple module interactively": [[35, null]], "Example: Defining a simple module type interactively": [[35, "example-def-simple-module-type"]], "Example: Creating a new module that omits some items from an existing module": [[35, "example-filter-module"]], "Example: Creating a functor (a module with parameters)": [[35, null]], "Example: A module type with two sub-modules, sharing some fields": [[35, null]], "Qualified names": [[35, "qualified-names"]], "Controlling the scope of commands with locality attributes": [[35, "controlling-the-scope-of-commands-with-locality-attributes"]], "Summary of locality attributes in a module": [[35, "summary-of-locality-attributes-in-a-module"]], "Typing Modules": [[35, "typing-modules"]], "Primitive objects": [[36, "primitive-objects"]], "Primitive Integers": [[36, "primitive-integers"]], "Primitive Floats": [[36, "primitive-floats"]], "Primitive Arrays": [[36, "primitive-arrays"]], "Primitive (Byte-Based) Strings": [[36, "primitive-byte-based-strings"]], "Record types": [[37, "record-types"]], "Defining record types": [[37, "defining-record-types"]], "Example: Defining a record": [[37, null]], "Example: Reusing a field name in multiple records": [[37, null]], "Example: Using the \"as\" clause in a record definition": [[37, null]], "Example: Argument name for a record type created using Class": [[37, null]], "Constructing records": [[37, "constructing-records"]], "Example: Constructing 1/2 as a record": [[37, null]], "Accessing fields (projections)": [[37, "accessing-fields-projections"]], "Example: Accessing record fields": [[37, null]], "Example: Matching on records": [[37, null]], "Example: Accessing anonymous record fields with match": [[37, null]], "Settings for printing records": [[37, "settings-for-printing-records"]], "Primitive Projections": [[37, "primitive-projections"]], "Compatibility Constants for Projections": [[37, "compatibility-constants-for-projections"]], "Sections": [[38, "sections"], [75, "sections"]], "Using sections": [[38, "using-sections"]], "Example: Section-local declarations": [[38, "section-local-declarations"]], "Summary of locality attributes in a section": [[38, "summary-of-locality-attributes-in-a-section"]], "Typing rules used at the end of a section": [[38, "typing-rules-used-at-the-end-of-a-section"]], "Sorts": [[39, "sorts"]], "Variants and the match construct": [[40, "variants-and-the-match-construct"]], "Variants": [[40, "id1"]], "Private (matching) inductive types": [[40, "private-matching-inductive-types"]], "Definition by cases: match": [[40, "definition-by-cases-match"]], "Setting properties of a function's arguments": [[41, "setting-properties-of-a-function-s-arguments"]], "Manual declaration of implicit arguments": [[41, "manual-declaration-of-implicit-arguments"]], "Example: Multiple alternatives with implicits_alt": [[41, "example-more-implicits"]], "Automatic declaration of implicit arguments": [[41, "automatic-declaration-of-implicit-arguments"]], "Example: Default implicits": [[41, null]], "Renaming implicit arguments": [[41, "renaming-implicit-arguments"]], "Example: (continued)  Renaming implicit arguments": [[41, null]], "Binding arguments to scopes": [[41, "binding-arguments-to-scopes"]], "Effects of Arguments on unfolding": [[41, "effects-of-arguments-on-unfolding"]], "Bidirectionality hints": [[41, "bidirectionality-hints"]], "Example: Bidirectionality hints": [[41, null]], "Canonical Structures": [[42, "canonical-structures"]], "Declaration of canonical structures": [[42, "declaration-of-canonical-structures"]], "Notation overloading": [[42, "notation-overloading"]], "Derived Canonical Structures": [[42, "derived-canonical-structures"]], "Hierarchy of structures": [[42, "hierarchy-of-structures"]], "Compact declaration of Canonical Structures": [[42, "compact-declaration-of-canonical-structures"]], "Existential variables": [[43, "existential-variables"]], "Inferable subterms": [[43, "inferable-subterms"]], "e* tactics that can create existential variables": [[43, "e-tactics-that-can-create-existential-variables"]], "Example: apply vs eapply": [[43, null]], "Automatic resolution of existential variables": [[43, "automatic-resolution-of-existential-variables"]], "Example: Automatic resolution of existential variables": [[43, "automatic-evar-resolution"]], "Explicit display of existential instances for pretty-printing": [[43, "explicit-display-of-existential-instances-for-pretty-printing"]], "Solving existential variables using tactics": [[43, "solving-existential-variables-using-tactics"]], "Implicit arguments": [[44, "implicit-arguments"]], "The different kinds of implicit arguments": [[44, "the-different-kinds-of-implicit-arguments"]], "Implicit arguments inferable from the knowledge of other arguments of a function": [[44, "implicit-arguments-inferable-from-the-knowledge-of-other-arguments-of-a-function"]], "Implicit arguments inferable by resolution": [[44, "implicit-arguments-inferable-by-resolution"]], "Maximal and non-maximal insertion of implicit arguments": [[44, "maximal-and-non-maximal-insertion-of-implicit-arguments"]], "Trailing Implicit Arguments": [[44, "trailing-implicit-arguments"]], "Casual use of implicit arguments": [[44, "casual-use-of-implicit-arguments"]], "Declaration of implicit arguments": [[44, "declaration-of-implicit-arguments"]], "Implicit Argument Binders": [[44, "implicit-argument-binders"]], "Mode for automatic declaration of implicit arguments": [[44, "mode-for-automatic-declaration-of-implicit-arguments"]], "Controlling strict implicit arguments": [[44, "controlling-strict-implicit-arguments"]], "Controlling contextual implicit arguments": [[44, "controlling-contextual-implicit-arguments"]], "Controlling reversible-pattern implicit arguments": [[44, "controlling-reversible-pattern-implicit-arguments"]], "Controlling the insertion of implicit arguments not followed by explicit arguments": [[44, "controlling-the-insertion-of-implicit-arguments-not-followed-by-explicit-arguments"]], "Combining manual declaration and automatic declaration": [[44, "combining-manual-declaration-and-automatic-declaration"]], "Explicit applications": [[44, "explicit-applications"]], "Example: Syntax for explicitly giving implicit arguments (continued)": [[44, null]], "Displaying implicit arguments": [[44, "displaying-implicit-arguments"]], "Displaying implicit arguments when pretty-printing": [[44, "displaying-implicit-arguments-when-pretty-printing"]], "Interaction with subtyping": [[44, "interaction-with-subtyping"]], "Deactivation of implicit arguments for parsing": [[44, "deactivation-of-implicit-arguments-for-parsing"]], "Implicit types of variables": [[44, "implicit-types-of-variables"]], "Implicit generalization": [[44, "implicit-generalization"]], "Language extensions": [[45, "language-extensions"]], "Extended pattern matching": [[46, "extended-pattern-matching"]], "Variants and extensions of match": [[46, "variants-and-extensions-of-match"]], "Multiple and nested pattern matching": [[46, "multiple-and-nested-pattern-matching"]], "Pattern-matching on boolean values: the if expression": [[46, "pattern-matching-on-boolean-values-the-if-expression"]], "Irrefutable patterns: the destructuring let variants": [[46, "irrefutable-patterns-the-destructuring-let-variants"]], "First destructuring let syntax": [[46, "first-destructuring-let-syntax"]], "Second destructuring let syntax": [[46, "second-destructuring-let-syntax"]], "Controlling pretty-printing of match expressions": [[46, "controlling-pretty-printing-of-match-expressions"]], "Printing nested patterns": [[46, "printing-nested-patterns"]], "Factorization of clauses with same right-hand side": [[46, "factorization-of-clauses-with-same-right-hand-side"]], "Use of a default clause": [[46, "use-of-a-default-clause"]], "Printing of wildcard patterns": [[46, "printing-of-wildcard-patterns"]], "Printing of the elimination predicate": [[46, "printing-of-the-elimination-predicate"]], "Printing of hidden subterms": [[46, "printing-of-hidden-subterms"]], "Printing matching on irrefutable patterns": [[46, "printing-matching-on-irrefutable-patterns"]], "Printing matching on booleans": [[46, "printing-matching-on-booleans"]], "Conventions about unused pattern-matching variables": [[46, "conventions-about-unused-pattern-matching-variables"]], "Patterns": [[46, "patterns"]], "Multiple patterns": [[46, "multiple-patterns"]], "Aliasing subpatterns": [[46, "aliasing-subpatterns"]], "Nested patterns": [[46, "nested-patterns"]], "Disjunctive patterns": [[46, "disjunctive-patterns"]], "About patterns of parametric types": [[46, "about-patterns-of-parametric-types"]], "Parameters in patterns": [[46, "parameters-in-patterns"]], "Implicit arguments in patterns": [[46, "implicit-arguments-in-patterns"]], "Matching objects of dependent types": [[46, "matching-objects-of-dependent-types"]], "Understanding dependencies in patterns": [[46, "understanding-dependencies-in-patterns"]], "When the elimination predicate must be provided": [[46, "when-the-elimination-predicate-must-be-provided"]], "Dependent pattern matching": [[46, "dependent-pattern-matching"]], "Multiple dependent pattern matching": [[46, "multiple-dependent-pattern-matching"]], "Patterns in in": [[46, "patterns-in-in"]], "Using pattern matching to write proofs": [[46, "using-pattern-matching-to-write-proofs"]], "Pattern-matching on inductive objects involving local definitions": [[46, "pattern-matching-on-inductive-objects-involving-local-definitions"]], "Pattern-matching and coercions": [[46, "pattern-matching-and-coercions"]], "When does the expansion strategy fail?": [[46, "when-does-the-expansion-strategy-fail"]], "The Rocq Prover commands": [[51, "the-rocq-prover-commands"]], "Interactive use (rocq repl)": [[51, "interactive-use-rocq-repl"]], "Batch compilation (rocq compile)": [[51, "batch-compilation-rocq-compile"]], "Example: Compiling and loading a single file": [[51, null]], "Customization at launch time": [[51, "customization-at-launch-time"]], "Command parameters": [[51, "command-parameters"]], "coqrc start up script": [[51, "coqrc-start-up-script"]], "Environment variables": [[51, "environment-variables"]], "Command line options": [[51, "command-line-options"], [75, "command-line-options"]], "Profiling": [[51, "profiling"], [55, "profiling"]], "Compiled interfaces (produced using -vos)": [[51, "compiled-interfaces-produced-using-vos"]], "Compiled libraries checker (rocqchk)": [[51, "compiled-libraries-checker-rocqchk"]], "Managing files and buffers, basic editing": [[52, "managing-files-and-buffers-basic-editing"]], "Running Coq scripts": [[52, "running-coq-scripts"]], "Asynchronous mode": [[52, "asynchronous-mode"]], "Commands and templates": [[52, "commands-and-templates"]], "Queries": [[52, "queries"]], "Compilation": [[52, "compilation"]], "Customizations": [[52, "customizations"]], "Preferences": [[52, "preferences"]], "Key bindings": [[52, "key-bindings"]], "Using Unicode symbols": [[52, "using-unicode-symbols"]], "Displaying Unicode symbols": [[52, "displaying-unicode-symbols"]], "Bindings for input of Unicode symbols": [[52, "bindings-for-input-of-unicode-symbols"]], "Adding custom bindings": [[52, "adding-custom-bindings"]], "Character encoding for saved files": [[52, "character-encoding-for-saved-files"]], "Debugger": [[52, "debugger"]], "Breakpoints": [[52, "breakpoints"]], "Call Stack and Variables": [[52, "call-stack-and-variables"]], "Supported use cases": [[52, "supported-use-cases"]], "Building Rocq Projects": [[53, "building-rocq-projects"]], "Rocq configuration basics": [[53, "rocq-configuration-basics"]], "Installing the Rocq Prover and Rocq packages with opam": [[53, "installing-the-rocq-prover-and-rocq-packages-with-opam"]], "Setup for working on your own projects": [[53, "setup-for-working-on-your-own-projects"]], "Building a project with _CoqProject (overview)": [[53, "building-a-project-with-coqproject-overview"]], "Logical paths and the load path": [[53, "logical-paths-and-the-load-path"]], "Modifying multiple interdependent projects at the same time": [[53, "modifying-multiple-interdependent-projects-at-the-same-time"]], "Installed and uninstalled packages": [[53, "installed-and-uninstalled-packages"]], "Upgrading to a new version of Rocq": [[53, "upgrading-to-a-new-version-of-rocq"]], "Building a Rocq project with rocq makefile (details)": [[53, "building-a-rocq-project-with-rocq-makefile-details"]], "Comments": [[53, "comments"]], "Quoting arguments to rocq c": [[53, "quoting-arguments-to-rocq-c"]], "Forbidden filenames": [[53, "forbidden-filenames"]], "Warning: No common logical root": [[53, "warning-no-common-logical-root"]], "CoqMakefile.local": [[53, "coqmakefile-local"]], "CoqMakefile.local-late": [[53, "coqmakefile-local-late"]], "Timing targets and performance testing": [[53, "timing-targets-and-performance-testing"]], "Building a subset of the targets with -j": [[53, "building-a-subset-of-the-targets-with-j"]], "Precompiling for native_compute": [[53, "precompiling-for-native-compute"]], "The grammar of _CoqProject": [[53, "the-grammar-of-coqproject"]], "Building a Rocq project with Dune": [[53, "building-a-rocq-project-with-dune"]], "rocq dep: Computing Module dependencies": [[53, "rocq-dep-computing-module-dependencies"]], "Split compilation of native computation files": [[53, "split-compilation-of-native-computation-files"]], "Using Rocq as a library": [[53, "using-rocq-as-a-library"]], "Embedded Rocq phrases inside LaTeX documents": [[53, "embedded-rocq-phrases-inside-latex-documents"]], "Man pages": [[53, "man-pages"]], "Ltac": [[54, "ltac"]], "Example: Basic tactic macros": [[54, null]], "Defects": [[54, "defects"]], "Syntax": [[54, "syntax"], [55, "syntax"], [57, "syntax"], [71, "syntax"]], "Values": [[54, "values"]], "Syntactic values": [[54, "syntactic-values"]], "Substitution": [[54, "substitution"]], "Example: Substitution of global and local symbols": [[54, null]], "Local definitions: let": [[54, "local-definitions-let"]], "Function construction and application": [[54, "function-construction-and-application"]], "Tactics in terms": [[54, "tactics-in-terms"]], "Goal selectors": [[54, "goal-selectors"]], "Example: Selector reordering goals": [[54, "reordering-goals-ex"]], "Processing multiple goals": [[54, "processing-multiple-goals"]], "Example: Multiple focused goals": [[54, null]], "Branching and backtracking": [[54, "branching-and-backtracking"]], "Example: Backtracking": [[54, null]], "Control flow": [[54, "control-flow"], [57, "control-flow"]], "Sequence: ;": [[54, "sequence"]], "Do loop": [[54, "do-loop"]], "Repeat loop": [[54, "repeat-loop"]], "Catching errors: try": [[54, "catching-errors-try"]], "Conditional branching: tryif": [[54, "conditional-branching-tryif"]], "Alternatives": [[54, "alternatives"]], "Branching with backtracking: +": [[54, "branching-with-backtracking"]], "Example: Backtracking branching with +": [[54, null]], "Local application of tactics: [> ... ]": [[54, "local-application-of-tactics"]], "First tactic to succeed": [[54, "first-tactic-to-succeed"]], "Example: Backtracking inside a non-backtracking construct": [[54, null]], "Example: Referring to a list of tactics in Tactic Notation": [[54, null]], "Solving": [[54, "solving"]], "First tactic to make progress: ||": [[54, "first-tactic-to-make-progress"]], "Detecting progress": [[54, "detecting-progress"]], "Success and failure": [[54, "success-and-failure"]], "Checking for success: assert_succeeds": [[54, "checking-for-success-assert-succeeds"]], "Checking for failure: assert_fails": [[54, "checking-for-failure-assert-fails"]], "Failing": [[54, "failing"]], "Soft cut: once": [[54, "soft-cut-once"]], "Checking for a single success: exactly_once": [[54, "checking-for-a-single-success-exactly-once"]], "Manipulating values": [[54, "manipulating-values"]], "Pattern matching on terms: match": [[54, "pattern-matching-on-terms-match"]], "Example: Comparison of lazymatch and match": [[54, null]], "Example: Comparison of match and multimatch": [[54, null]], "Example: Matching a pattern with holes": [[54, null]], "Example: Multiple matches for a \"context\" pattern.": [[54, null]], "Pattern matching on goals and hypotheses: match goal": [[54, "pattern-matching-on-goals-and-hypotheses-match-goal"]], "Example: Matching hypotheses": [[54, null]], "Example: Matching hypotheses with reverse": [[54, null], [55, "ltac2-match-goal-hyps-rev-ex"]], "Example: Multiple ways to match hypotheses": [[54, null]], "Filling a term context": [[54, "filling-a-term-context"]], "Example: Substituting a matched context": [[54, null]], "Generating fresh hypothesis names": [[54, "generating-fresh-hypothesis-names"]], "Computing in a term: eval": [[54, "computing-in-a-term-eval"]], "Getting the type of a term": [[54, "getting-the-type-of-a-term"]], "Manipulating untyped terms: type_term": [[54, "manipulating-untyped-terms-type-term"]], "Counting goals: numgoals": [[54, "counting-goals-numgoals"]], "Testing boolean expressions: guard": [[54, "testing-boolean-expressions-guard"]], "Example: guard": [[54, null]], "Checking properties of terms": [[54, "checking-properties-of-terms"]], "Example: is_fix": [[54, null]], "Example: is_cofix": [[54, null]], "Example: is_proj": [[54, null]], "Timing": [[54, "timing"]], "Timeout": [[54, "timeout"]], "Timing a tactic": [[54, "timing-a-tactic"]], "Timing a tactic that evaluates to a term: time_constr": [[54, "timing-a-tactic-that-evaluates-to-a-term-time-constr"]], "Print/identity tactic: idtac": [[54, "print-identity-tactic-idtac"]], "Tactic toplevel definitions": [[54, "tactic-toplevel-definitions"]], "Defining Ltac symbols": [[54, "defining-ltac-symbols"]], "Printing Ltac tactics": [[54, "printing-ltac-tactics"]], "Examples of using Ltac": [[54, "examples-of-using-ltac"]], "Proof that the natural numbers have at least two elements": [[54, "proof-that-the-natural-numbers-have-at-least-two-elements"]], "Example: Proof that the natural numbers have at least two elements": [[54, null]], "Proving that a list is a permutation of a second list": [[54, "proving-that-a-list-is-a-permutation-of-a-second-list"]], "Example: Proving that a list is a permutation of a second list": [[54, null]], "Deciding intuitionistic propositional logic": [[54, "deciding-intuitionistic-propositional-logic"]], "Deciding type isomorphisms": [[54, "deciding-type-isomorphisms"]], "Debugging Ltac tactics": [[54, "debugging-ltac-tactics"]], "Backtraces": [[54, "backtraces"]], "Tracing execution": [[54, "tracing-execution"]], "Interactive debugger": [[54, "interactive-debugger"]], "Profiling Ltac tactics": [[54, "profiling-ltac-tactics"]], "Run-time optimization tactic": [[54, "run-time-optimization-tactic"]], "Ltac2": [[55, "ltac2"]], "General design": [[55, "general-design"]], "ML component": [[55, "ml-component"]], "Overview": [[55, "overview"], [55, "id3"]], "Type Syntax": [[55, "type-syntax"]], "Type declarations": [[55, "type-declarations"]], "APIs": [[55, "apis"]], "Term Syntax": [[55, "term-syntax"]], "Ltac2 Definitions": [[55, "ltac2-definitions"]], "Example: Dynamic nature of mutable cells": [[55, null]], "Example: Interaction with recursive calls": [[55, null]], "Printing Ltac2 tactics": [[55, "printing-ltac2-tactics"]], "Typing": [[55, "typing"]], "Effects": [[55, "effects"]], "Standard IO": [[55, "standard-io"]], "Fatal errors": [[55, "fatal-errors"]], "Backtracking": [[55, "backtracking"], [59, "backtracking"]], "Goals": [[55, "goals"]], "Meta-programming": [[55, "meta-programming"]], "Quotations": [[55, "quotations"]], "Built-in quotations": [[55, "built-in-quotations"]], "Strict vs. non-strict mode": [[55, "strict-vs-non-strict-mode"]], "Term Antiquotations": [[55, "term-antiquotations"]], "Semantics": [[55, "semantics"]], "Static semantics": [[55, "static-semantics"]], "Dynamic semantics": [[55, "dynamic-semantics"]], "Match over terms": [[55, "match-over-terms"]], "Example: Ltac2 Comparison of lazy_match! and match!": [[55, "ltac2-match-vs-lazymatch-ex"]], "Example: Ltac2 Comparison of match! and multi_match!": [[55, "ltac2-match-vs-multimatch-ex"]], "Example: Ltac2 Multiple matches for a \"context\" pattern.": [[55, "ltac2-match-term-context-ex"]], "Match over goals": [[55, "match-over-goals"]], "Example: Ltac2 Matching hypotheses": [[55, "ltac2-match-goal-hyps-ex"]], "Example: Multiple ways to match a hypotheses": [[55, "ltac2-match-goal-multiple-hyps-ex"]], "Match on values": [[55, "match-on-values"]], "Example: Printing a term": [[55, null]], "Example: Parsing a list of terms": [[55, null]], "Abbreviations": [[55, "abbreviations"], [57, "abbreviations"], [71, "abbreviations"]], "Defining tactics": [[55, "defining-tactics"]], "Syntactic classes": [[55, "syntactic-classes"]], "Evaluation": [[55, "evaluation"]], "Debug": [[55, "debug"]], "Compatibility layer with Ltac1": [[55, "compatibility-layer-with-ltac1"]], "Ltac1 from Ltac2": [[55, "ltac1-from-ltac2"]], "Simple API": [[55, "simple-api"]], "Low-level API": [[55, "low-level-api"]], "Ltac2 from Ltac1": [[55, "ltac2-from-ltac1"]], "Switching between Ltac languages": [[55, "switching-between-ltac-languages"]], "Transition from Ltac1": [[55, "transition-from-ltac1"]], "Syntax changes": [[55, "syntax-changes"]], "Tactic delay": [[55, "tactic-delay"]], "Variable binding": [[55, "variable-binding"]], "In Ltac expressions": [[55, "in-ltac-expressions"]], "In quotations": [[55, "in-quotations"]], "Exception catching": [[55, "exception-catching"]], "The SSReflect proof language": [[57, "the-ssr-proof-language"]], "Introduction": [[57, "introduction"]], "Acknowledgments": [[57, "acknowledgments"]], "Getting started": [[57, "getting-started"]], "Compatibility issues": [[57, "compatibility-issues"]], "Gallina extensions": [[57, "gallina-extensions"]], "Pattern assignment": [[57, "pattern-assignment"]], "Pattern conditional": [[57, "pattern-conditional"]], "Parametric polymorphism": [[57, "parametric-polymorphism"]], "Anonymous arguments": [[57, "anonymous-arguments"]], "Wildcards": [[57, "wildcards"]], "Matching": [[57, "matching"]], "Occurrence selection": [[57, "occurrence-selection"]], "Basic localization": [[57, "basic-localization"]], "Basic tactics": [[57, "basic-tactics"]], "Bookkeeping": [[57, "bookkeeping"]], "The defective tactics": [[57, "the-defective-tactics"]], "The move tactic.": [[57, "the-move-tactic"]], "The case tactic": [[57, "the-case-tactic"]], "The elim tactic": [[57, "the-elim-tactic"]], "The apply tactic": [[57, "the-apply-tactic"]], "Discharge": [[57, "discharge"]], "Clear rules": [[57, "clear-rules"]], "Matching for apply and exact": [[57, "matching-for-apply-and-exact"]], "The abstract tactic": [[57, "the-abstract-tactic"]], "Introduction in the context": [[57, "introduction-in-the-context"]], "Simplification items": [[57, "simplification-items"]], "Views": [[57, "views"]], "Intro patterns": [[57, "intro-patterns"], [58, "intro-patterns"]], "Clear switch": [[57, "clear-switch"]], "Branching and destructuring": [[57, "branching-and-destructuring"]], "Block introduction": [[57, "block-introduction"]], "Generation of equations": [[57, "generation-of-equations"]], "Type families": [[57, "type-families"]], "Indentation and bullets": [[57, "indentation-and-bullets"]], "Terminators": [[57, "terminators"]], "Selectors": [[57, "selectors"]], "Iteration": [[57, "iteration"]], "Localization": [[57, "localization"]], "Structure": [[57, "structure"]], "The have tactic.": [[57, "the-have-tactic"]], "Generating let in context entries with have": [[57, "generating-let-in-context-entries-with-have"]], "The have tactic and typeclass resolution": [[57, "the-have-tactic-and-typeclass-resolution"]], "Variants: the suff and wlog tactics": [[57, "variants-the-suff-and-wlog-tactics"]], "Advanced generalization": [[57, "advanced-generalization"]], "Rewriting": [[57, "rewriting"]], "An extended rewrite tactic": [[57, "an-extended-rewrite-tactic"]], "Remarks and examples": [[57, "remarks-and-examples"]], "Rewrite redex selection": [[57, "rewrite-redex-selection"]], "Chained rewrite steps": [[57, "chained-rewrite-steps"]], "Explicit redex switches are matched first": [[57, "explicit-redex-switches-are-matched-first"]], "Occurrence switches and redex switches": [[57, "occurrence-switches-and-redex-switches"]], "Occurrence selection and repetition": [[57, "occurrence-selection-and-repetition"]], "Multi-rule rewriting": [[57, "multi-rule-rewriting"]], "Wildcards vs abstractions": [[57, "wildcards-vs-abstractions"]], "When SSReflect rewrite fails on standard Rocq licit rewrite": [[57, "when-ssr-rewrite-fails-on-standard-rocq-licit-rewrite"]], "Existential metavariables and rewriting": [[57, "existential-metavariables-and-rewriting"]], "The under tactic": [[57, "the-under-tactic"]], "The over tactic": [[57, "the-over-tactic"]], "One-liner mode": [[57, "one-liner-mode"]], "Locking, unlocking": [[57, "locking-unlocking"]], "Congruence": [[57, "congruence"]], "Contextual patterns": [[57, "contextual-patterns"]], "Matching contextual patterns": [[57, "matching-contextual-patterns"]], "Contextual pattern in set and the : tactical": [[57, "contextual-pattern-in-set-and-the-tactical"]], "Contextual patterns in rewrite": [[57, "contextual-patterns-in-rewrite"]], "Patterns for recurrent contexts": [[57, "patterns-for-recurrent-contexts"]], "Views and reflection": [[57, "views-and-reflection"]], "Interpreting eliminations": [[57, "interpreting-eliminations"]], "Interpreting assumptions": [[57, "interpreting-assumptions"], [57, "id16"]], "Specializing assumptions": [[57, "specializing-assumptions"], [57, "id15"]], "Interpreting goals": [[57, "interpreting-goals"], [57, "id17"]], "Boolean reflection": [[57, "boolean-reflection"]], "The reflect predicate": [[57, "the-reflect-predicate"]], "General mechanism for interpreting goals and assumptions": [[57, "general-mechanism-for-interpreting-goals-and-assumptions"]], "Interpreting equivalences": [[57, "interpreting-equivalences"]], "Declaring new Hint Views": [[57, "declaring-new-hint-views"]], "Multiple views": [[57, "multiple-views"]], "Additional view shortcuts": [[57, "additional-view-shortcuts"]], "Synopsis and Index": [[57, "synopsis-and-index"]], "Parameters": [[57, "parameters"]], "Items and switches": [[57, "items-and-switches"]], "Tacticals": [[57, "tacticals"]], "Common elements of tactics": [[58, "common-elements-of-tactics"]], "Reserved keywords": [[58, "reserved-keywords"]], "Invocation of tactics": [[58, "invocation-of-tactics"]], "Bindings": [[58, "bindings"]], "Example: intro pattern for /\\": [[58, null]], "Example: intro pattern for \\/": [[58, null]], "Example: -> intro pattern": [[58, null]], "Example: [=] intro pattern": [[58, null]], "Example: (A & B & \u2026) intro pattern": [[58, null]], "Example: * intro pattern": [[58, null]], "Example: ** pattern (\"intros **\" is equivalent to \"intros\")": [[58, null]], "Example: compound intro pattern": [[58, null]], "Example: combined intro pattern using [=] -> and %": [[58, null]], "Occurrence clauses": [[58, "occurrence-clauses"]], "Applying theorems": [[58, "applying-theorems"]], "Example: Backward reasoning in the goal with apply": [[58, "apply-backward"]], "Example: Backward reasoning in the goal with apply including a premise": [[58, "apply-backward-w-premises"]], "Example: Forward reasoning in hypotheses with apply": [[58, "apply-forward"]], "Example: Apply a theorem with a binding in a goal": [[58, "apply-with-binding-goal"]], "Example: Apply a theorem with a binding in a hypothesis": [[58, "apply-with-binding-hyp"]], "Example: Applying theorems with <->": [[58, "apply-with-iff"]], "Example: Special case of second-order unification in apply": [[58, "example-apply-pattern"]], "Managing the local context": [[58, "managing-the-local-context"]], "Example: intro and intros": [[58, "intro-examples"]], "Example: intros until": [[58, null]], "Example: move": [[58, null]], "Example: set with a simple_binder": [[58, null]], "Controlling the proof flow": [[58, "controlling-the-proof-flow"]], "Example: partial application in specialize": [[58, null]], "Example: specialize with a non-dependent product": [[58, null]], "Example: contradiction tactic": [[58, null]], "Classical tactics": [[58, "classical-tactics"]], "Performance-oriented tactic variants": [[58, "performance-oriented-tactic-variants"]], "Displaying": [[59, "displaying"]], "Query commands": [[59, "query-commands"]], "Example: Searching for a pattern": [[59, "search-pattern"]], "Example: Searching for part of an identifier": [[59, "search-part-ident"]], "Example: Searching for a reference by notation": [[59, "search-by-notation"]], "Example: Disambiguating between part of identifier and notation": [[59, "search-disambiguate-notation"]], "Example: Search in hypotheses": [[59, "search-hyp"]], "Example: Search in conclusion": [[59, "search-concl"]], "Example: Search by keyword or status": [[59, "search-by-keyword"]], "Example: SearchPattern examples": [[59, null]], "Example: SearchRewrite examples": [[59, null]], "Requests to the environment": [[59, "requests-to-the-environment"]], "Example: Locate examples": [[59, null]], "Printing flags": [[59, "printing-flags"]], "Loading files": [[59, "loading-files"]], "Compiled files": [[59, "compiled-files"]], "Load paths": [[59, "load-paths"]], "Extra Dependencies": [[59, "extra-dependencies"]], "Quitting and debugging": [[59, "quitting-and-debugging"]], "Controlling display": [[59, "controlling-display"]], "Printing constructions in full": [[59, "printing-constructions-in-full"]], "Controlling Typing Flags": [[59, "controlling-typing-flags"]], "Internal registration commands": [[59, "internal-registration-commands"]], "Exposing constants to OCaml libraries": [[59, "exposing-constants-to-ocaml-libraries"]], "Inlining hints for the fast reduction machines": [[59, "inlining-hints-for-the-fast-reduction-machines"]], "Registering primitive operations": [[59, "registering-primitive-operations"]], "Programmable proof search": [[60, "programmable-proof-search"]], "Example: Ackermann function": [[60, null]], "Example: MacCarthy function": [[60, null]], "Hint databases": [[60, "hint-databases"]], "Creating hint databases": [[60, "creating-hint-databases"]], "Hint databases defined in the Rocq standard library": [[60, "hint-databases-defined-in-the-rocq-standard-library"]], "Creating Hints": [[60, "creating-hints"]], "Example: Logic programming with addition on natural numbers": [[60, null]], "Hint locality": [[60, "hint-locality"]], "Setting implicit automation tactics": [[60, "setting-implicit-automation-tactics"]], "Automatic solvers and programmable tactics": [[61, "automatic-solvers-and-programmable-tactics"]], "Solvers for logic and equality": [[62, "solvers-for-logic-and-equality"]], "Creating new tactics": [[63, "creating-new-tactics"]], "Reasoning with equalities": [[64, "reasoning-with-equalities"]], "Tactics for simple equalities": [[64, "tactics-for-simple-equalities"]], "Rewriting with Leibniz and setoid equality": [[64, "rewriting-with-leibniz-and-setoid-equality"]], "Rewriting with definitional equality": [[64, "rewriting-with-definitional-equality"]], "Applying conversion rules": [[64, "applying-conversion-rules"]], "Example: fold doesn't always undo unfold": [[64, null]], "Example: Use fold to reverse unfolding of fold_right": [[64, null]], "Fast reduction tactics: vm_compute and native_compute": [[64, "fast-reduction-tactics-vm-compute-and-native-compute"]], "Computing in a term: eval and Eval": [[64, "computing-in-a-term-eval-and-eval"]], "Controlling reduction strategies and the conversion algorithm": [[64, "controlling-reduction-strategies-and-the-conversion-algorithm"]], "Basic proof writing": [[65, "basic-proof-writing"]], "Proof mode": [[66, "proof-mode"]], "Proof State": [[66, "proof-state"]], "Entering and exiting proof mode": [[66, "entering-and-exiting-proof-mode"]], "Example: Declaring section variables": [[66, null]], "Proof using options": [[66, "proof-using-options"]], "Name a set of section hypotheses for Proof using": [[66, "name-a-set-of-section-hypotheses-for-proof-using"]], "Proof modes": [[66, "proof-modes"]], "Managing goals": [[66, "managing-goals"]], "Focusing goals": [[66, "focusing-goals"]], "Curly braces": [[66, "curly-braces"]], "Example: Working with named goals": [[66, null]], "Bullets": [[66, "bullets"]], "Example: Use of bullets": [[66, null]], "Other focusing commands": [[66, "other-focusing-commands"]], "Shelving goals": [[66, "shelving-goals"]], "Example: shelve_unifiable": [[66, null]], "Reordering goals": [[66, "reordering-goals"]], "Example: cycle": [[66, null]], "Example: swap": [[66, null]], "Example: revgoals": [[66, null]], "Proving a subgoal as a separate lemma: abstract": [[66, "proving-a-subgoal-as-a-separate-lemma-abstract"]], "Requesting information": [[66, "requesting-information"]], "Showing differences between proof steps": [[66, "showing-differences-between-proof-steps"]], "How to enable diffs": [[66, "how-to-enable-diffs"]], "How diffs are calculated": [[66, "how-diffs-are-calculated"]], "\"Show Proof\" differences": [[66, "show-proof-differences"]], "Delaying solving unification constraints": [[66, "delaying-solving-unification-constraints"]], "Proof maintenance": [[66, "proof-maintenance"]], "Controlling proof mode": [[66, "controlling-proof-mode"]], "Controlling memory usage": [[66, "controlling-memory-usage"]], "Reasoning with inductive types": [[67, "reasoning-with-inductive-types"]], "Applying constructors": [[67, "applying-constructors"]], "Example: constructor, left and right": [[67, null]], "Case analysis": [[67, "case-analysis"]], "Example: Using destruct on an argument with premises": [[67, "example-destruct-ind-concl"]], "Induction": [[67, "induction"]], "Example: induction with occurrences": [[67, null]], "Equality of inductive types": [[67, "equality-of-inductive-types"]], "Example: Proving 1 <> 2": [[67, null]], "Example: discriminate limitation: proving n <> S n": [[67, null]], "Example: inversion with as or_and_intropattern": [[67, null]], "Example: Non-dependent inversion": [[67, null]], "Example: Dependent inversion": [[67, null]], "Example: Using inversion_sigma": [[67, null]], "Helper tactics": [[67, "helper-tactics"]], "Example: Using decide to rewrite the goal": [[67, null]], "Generation of induction principles with Scheme": [[67, "generation-of-induction-principles-with-scheme"]], "Example: Induction scheme for tree and forest": [[67, null]], "Example: Predicates odd and even on naturals": [[67, null]], "Example: Scheme commands with various scheme_types": [[67, null]], "Automatic declaration of schemes": [[67, "automatic-declaration-of-schemes"]], "Combined Scheme": [[67, "combined-scheme"]], "Generation of inversion principles with Derive Inversion": [[67, "generation-of-inversion-principles-with-derive-inversion"]], "Examples of dependent destruction / dependent induction": [[67, "examples-of-dependent-destruction-dependent-induction"]], "A larger example": [[67, "a-larger-example"]], "Glossary index": [[69, "glossary-index"]], "Syntax extensions and notation scopes": [[71, "syntax-extensions-and-notation-scopes"]], "Basic notations": [[71, "basic-notations"]], "Precedences and associativity": [[71, "precedences-and-associativity"]], "Complex notations": [[71, "complex-notations"]], "Simple factorization rules": [[71, "simple-factorization-rules"]], "Use of notations for printing": [[71, "use-of-notations-for-printing"]], "The Infix command": [[71, "the-infix-command"]], "Reserving notations": [[71, "reserving-notations"]], "Simultaneous definition of terms and notations": [[71, "simultaneous-definition-of-terms-and-notations"]], "Enabling and disabling notations": [[71, "enabling-and-disabling-notations"]], "Example: Enabling and disabling notations": [[71, null]], "Displaying information about notations": [[71, "displaying-information-about-notations"]], "Example: Print Notation": [[71, null]], "Locating notations": [[71, "locating-notations"]], "Inheritance of the properties of arguments of constants bound to a notation": [[71, "inheritance-of-the-properties-of-arguments-of-constants-bound-to-a-notation"]], "Notations and binders": [[71, "notations-and-binders"]], "Binders bound in the notation and parsed as identifiers": [[71, "binders-bound-in-the-notation-and-parsed-as-identifiers"]], "Binders bound in the notation and parsed as patterns": [[71, "binders-bound-in-the-notation-and-parsed-as-patterns"]], "Binders bound in the notation and parsed as terms": [[71, "binders-bound-in-the-notation-and-parsed-as-terms"]], "Binders bound in the notation and parsed as general binders": [[71, "binders-bound-in-the-notation-and-parsed-as-general-binders"]], "Binders not bound in the notation": [[71, "binders-not-bound-in-the-notation"]], "Notations with expressions used both as binder and term": [[71, "notations-with-expressions-used-both-as-binder-and-term"]], "Notations with recursive patterns": [[71, "notations-with-recursive-patterns"]], "Notations with recursive patterns involving binders": [[71, "notations-with-recursive-patterns-involving-binders"]], "Predefined entries": [[71, "predefined-entries"]], "Custom entries": [[71, "custom-entries"]], "Notation scopes": [[71, "notation-scopes"]], "Global interpretation rules for notations": [[71, "global-interpretation-rules-for-notations"]], "Local interpretation rules for notations": [[71, "local-interpretation-rules-for-notations"]], "Opening a notation scope locally": [[71, "opening-a-notation-scope-locally"]], "Binding types or coercion classes to notation scopes": [[71, "binding-types-or-coercion-classes-to-notation-scopes"]], "Example: Binding scopes to a type": [[71, null]], "The type_scope notation scope": [[71, "the-type-scope-notation-scope"]], "The function_scope notation scope": [[71, "the-function-scope-notation-scope"]], "Notation scopes used in the standard library of Rocq": [[71, "notation-scopes-used-in-the-standard-library-of-rocq"]], "Displaying information about scopes": [[71, "displaying-information-about-scopes"]], "Numbers and strings": [[71, "numbers-and-strings"]], "Number notations": [[71, "number-notations"]], "String notations": [[71, "string-notations"]], "Example: Number Notation for radix 3": [[71, null]], "Example: Number Notation for primitive integers": [[71, "example-number-notation-primitive-int"]], "Example: Number Notation for a non-inductive type": [[71, "example-number-notation-non-inductive"]], "Example: Number Notation with implicit arguments": [[71, "example-number-notation-implicit-args"]], "Example: String Notation with a parameterized inductive type": [[71, "example-string-notation-parameterized-inductive"]], "Tactic Notations": [[71, "tactic-notations"]], "Functional induction": [[72, "functional-induction"]], "Advanced recursive functions": [[72, "advanced-recursive-functions"]], "Generation of induction principles with Functional Scheme": [[72, "generation-of-induction-principles-with-functional-scheme"]], "Libraries and plugins": [[73, "libraries-and-plugins"]], "Writing Rocq libraries and plugins": [[74, "writing-rocq-libraries-and-plugins"]], "Deprecating library objects, tactics or library files": [[74, "deprecating-library-objects-tactics-or-library-files"]], "Triggering warning for library objects or library files": [[74, "triggering-warning-for-library-objects-or-library-files"]], "Example: Deprecating a tactic.": [[74, null]], "Example: Introducing a compatibility alias": [[74, "compatibility-alias"]], "Documenting Rocq files with rocq doc": [[75, "documenting-rocq-files-with-rocq-doc"]], "Principles": [[75, "principles"]], "Rocq material inside documentation.": [[75, "rocq-material-inside-documentation"]], "Pretty-printing.": [[75, "pretty-printing"]], "Lists.": [[75, "lists"]], "Rules.": [[75, "rules"]], "Emphasis.": [[75, "emphasis"]], "Escaping to LaTeX and HTML.": [[75, "escaping-to-latex-and-html"]], "Verbatim": [[75, "verbatim"]], "Hyperlinks": [[75, "hyperlinks"]], "Hiding / Showing parts of the source": [[75, "hiding-showing-parts-of-the-source"]], "The rocq doc LaTeX style file": [[75, "the-rocq-doc-latex-style-file"]], "Command-line and graphical tools": [[76, "command-line-and-graphical-tools"]], "Bibliography": [[77, "bibliography"]]}, "indexentries": {"cd (command)": [[2, "coq:cmd.Cd"]], "extract callback (command)": [[2, "coq:cmd.Extract-Callback"]], "extract callback is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction"]], "extract constant (command)": [[2, "coq:cmd.Extract-Constant"]], "extract foreign constant (command)": [[2, "coq:cmd.Extract-Foreign-Constant"]], "extract foreign constant is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction"]], "extract foreign constant is supported only for functions (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions"]], "extract inductive (command)": [[2, "coq:cmd.Extract-Inductive"]], "extract inlined constant (command)": [[2, "coq:cmd.Extract-Inlined-Constant"]], "extraction (command)": [[2, "coq:cmd.Extraction"]], "extraction autoinline (flag)": [[2, "coq:flag.Extraction-AutoInline"]], "extraction blacklist (command)": [[2, "coq:cmd.Extraction-Blacklist"]], "extraction conservative types (flag)": [[2, "coq:flag.Extraction-Conservative-Types"]], "extraction file comment (option)": [[2, "coq:opt.Extraction-File-Comment"]], "extraction flag (option)": [[2, "coq:opt.Extraction-Flag"]], "extraction implicit (command)": [[2, "coq:cmd.Extraction-Implicit"]], "extraction inline (command)": [[2, "coq:cmd.Extraction-Inline"]], "extraction keepsingleton (flag)": [[2, "coq:flag.Extraction-KeepSingleton"]], "extraction language (command)": [[2, "coq:cmd.Extraction-Language"]], "extraction library (command)": [[2, "coq:cmd.Extraction-Library"]], "extraction noinline (command)": [[2, "coq:cmd.Extraction-NoInline"]], "extraction optimize (flag)": [[2, "coq:flag.Extraction-Optimize"]], "extraction output directory (option)": [[2, "coq:opt.Extraction-Output-Directory"]], "extraction safeimplicits (flag)": [[2, "coq:flag.Extraction-SafeImplicits"]], "extraction testcompile (command)": [[2, "coq:cmd.Extraction-TestCompile"]], "extraction typeexpand (flag)": [[2, "coq:flag.Extraction-TypeExpand"]], "print extraction blacklist (command)": [[2, "coq:cmd.Print-Extraction-Blacklist"]], "print extraction callback (command)": [[2, "coq:cmd.Print-Extraction-Callback"]], "print extraction foreign (command)": [[2, "coq:cmd.Print-Extraction-Foreign"]], "print extraction inline (command)": [[2, "coq:cmd.Print-Extraction-Inline"]], "pwd (command)": [[2, "coq:cmd.Pwd"]], "recursive extraction (command)": [[2, "coq:cmd.Recursive-Extraction"]], "recursive extraction library (command)": [[2, "coq:cmd.Recursive-Extraction-Library"]], "reset extraction blacklist (command)": [[2, "coq:cmd.Reset-Extraction-Blacklist"]], "reset extraction callback (command)": [[2, "coq:cmd.Reset-Extraction-Callback"]], "reset extraction inline (command)": [[2, "coq:cmd.Reset-Extraction-Inline"]], "separate extraction (command)": [[2, "coq:cmd.Separate-Extraction"]], "show extraction (command)": [[2, "coq:cmd.Show-Extraction"]], "the term \u2018qualid\u2019 is already defined as foreign custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant"]], "the term \u2018qualid\u2019 is already defined as inline custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant"]], "add morphism (command)": [[3, "coq:cmd.Add-Morphism"]], "add parametric morphism (command)": [[3, "coq:cmd.Add-Parametric-Morphism"]], "add parametric relation (command)": [[3, "coq:cmd.Add-Parametric-Relation"]], "add parametric setoid (command)": [[3, "coq:cmd.Add-Parametric-Setoid"]], "add relation (command)": [[3, "coq:cmd.Add-Relation"]], "add setoid (command)": [[3, "coq:cmd.Add-Setoid"]], "declare morphism (command)": [[3, "coq:cmd.Declare-Morphism"]], "no progress made (error)": [[3, "coq:exn.No-progress-made"]], "nothing to rewrite (error)": [[3, "coq:exn.Nothing-to-rewrite"]], "unable to satisfy the rewriting constraints (error)": [[3, "coq:exn.Unable-to-satisfy-the-rewriting-constraints"]], "head_of_constr (tactic)": [[3, "coq:tacn.head_of_constr"]], "rewrite_db (tactic)": [[3, "coq:tacn.rewrite_db"]], "rewrite_strat (tactic)": [[3, "coq:tacn.rewrite_strat"]], "setoid_etransitivity (tactic)": [[3, "coq:tacn.setoid_etransitivity"]], "setoid_reflexivity (tactic)": [[3, "coq:tacn.setoid_reflexivity"]], "setoid_replace (tactic)": [[3, "coq:tacn.setoid_replace"]], "setoid_rewrite (tactic)": [[3, "coq:tacn.setoid_rewrite"]], "setoid_symmetry (tactic)": [[3, "coq:tacn.setoid_symmetry"]], "setoid_transitivity (tactic)": [[3, "coq:tacn.setoid_transitivity"]], "... is not definitionally an identity function (warning)": [[4, "coq:warn....-is-not-definitionally-an-identity-function"]], ":> (coercion)": [[4, "index-0"]], "cannot find the source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019"]], "cannot find the target class (error)": [[4, "coq:exn.Cannot-find-the-target-class"]], "cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019"]], "coercion (command)": [[4, "coq:cmd.Coercion"]], "found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019 (error)": [[4, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019"]], "funclass cannot be a source class (error)": [[4, "coq:exn.Funclass-cannot-be-a-source-class"]], "identity coercion (command)": [[4, "coq:cmd.Identity-Coercion"]], "new coercion path ... is ambiguous with existing ... (warning)": [[4, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-..."]], "print classes (command)": [[4, "coq:cmd.Print-Classes"]], "print coercion paths (command)": [[4, "coq:cmd.Print-Coercion-Paths"]], "print coercions (command)": [[4, "coq:cmd.Print-Coercions"]], "print graph (command)": [[4, "coq:cmd.Print-Graph"]], "printing coercion (table)": [[4, "coq:table.Printing-Coercion"]], "printing coercions (flag)": [[4, "coq:flag.Printing-Coercions"]], "subclass (command)": [[4, "coq:cmd.SubClass"]], "nonuniform (attribute)": [[4, "coq:attr.nonuniform"]], "reversible (attribute)": [[4, "coq:attr.reversible"]], "\u2018coercion_class\u2019 must be a transparent constant (error)": [[4, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant"]], "\u2018qualid\u2019 does not respect the uniform inheritance condition (warning)": [[4, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition"]], "\u2018qualid\u2019 is already a coercion (error)": [[4, "coq:exn.\u2018qualid\u2019-is-already-a-coercion"]], "\u2018qualid\u2019 is not a function (error)": [[4, "coq:exn.\u2018qualid\u2019-is-not-a-function"]], "\u2018qualid\u2019 not declared (error)": [[4, "coq:exn.\u2018qualid\u2019-not-declared"]], "add zify (command)": [[5, "coq:cmd.Add-Zify"]], "bound on the ceiling function (theorem)": [[5, "coq:thm.Bound-on-the-ceiling-function"]], "case split (theorem)": [[5, "coq:thm.Case-split"]], "dump arith (option)": [[5, "coq:opt.Dump-Arith"]], "info micromega (flag)": [[5, "coq:flag.Info-Micromega"]], "lia cache (flag)": [[5, "coq:flag.Lia-Cache"]], "nia cache (flag)": [[5, "coq:flag.Nia-Cache"]], "nra cache (flag)": [[5, "coq:flag.Nra-Cache"]], "psatz (theorem)": [[5, "coq:thm.Psatz"]], "show lia profile (command)": [[5, "coq:cmd.Show-Lia-Profile"]], "show zify (command)": [[5, "coq:cmd.Show-Zify"]], "lia (tactic)": [[5, "coq:tacn.lia"]], "lra (tactic)": [[5, "coq:tacn.lra"]], "nia (tactic)": [[5, "coq:tacn.nia"]], "nra (tactic)": [[5, "coq:tacn.nra"]], "psatz (tactic)": [[5, "coq:tacn.psatz"]], "wlia (tactic)": [[5, "coq:tacn.wlia"]], "wlra_q (tactic)": [[5, "coq:tacn.wlra_Q"]], "wnia (tactic)": [[5, "coq:tacn.wnia"]], "wnra_q (tactic)": [[5, "coq:tacn.wnra_Q"]], "wpsatz_q (tactic)": [[5, "coq:tacn.wpsatz_Q"]], "wpsatz_z (tactic)": [[5, "coq:tacn.wpsatz_Z"]], "wsos_q (tactic)": [[5, "coq:tacn.wsos_Q"]], "wsos_z (tactic)": [[5, "coq:tacn.wsos_Z"]], "xlia (tactic)": [[5, "coq:tacn.xlia"]], "xlra_q (tactic)": [[5, "coq:tacn.xlra_Q"]], "xlra_r (tactic)": [[5, "coq:tacn.xlra_R"]], "xnia (tactic)": [[5, "coq:tacn.xnia"]], "xnra_q (tactic)": [[5, "coq:tacn.xnra_Q"]], "xnra_r (tactic)": [[5, "coq:tacn.xnra_R"]], "xpsatz_q (tactic)": [[5, "coq:tacn.xpsatz_Q"]], "xpsatz_r (tactic)": [[5, "coq:tacn.xpsatz_R"]], "xpsatz_z (tactic)": [[5, "coq:tacn.xpsatz_Z"]], "xsos_q (tactic)": [[5, "coq:tacn.xsos_Q"]], "xsos_r (tactic)": [[5, "coq:tacn.xsos_R"]], "xsos_z (tactic)": [[5, "coq:tacn.xsos_Z"]], "zify (tactic)": [[5, "coq:tacn.zify"]], "zify_elim_let (tactic)": [[5, "coq:tacn.zify_elim_let"]], "zify_iter_let (tactic)": [[5, "coq:tacn.zify_iter_let"]], "zify_iter_specs (tactic)": [[5, "coq:tacn.zify_iter_specs"]], "zify_op (tactic)": [[5, "coq:tacn.zify_op"]], "zify_saturate (tactic)": [[5, "coq:tacn.zify_saturate"]], "derive (command)": [[6, "coq:cmd.Derive"]], "nsatz (tactic)": [[7, "coq:tacn.nsatz"]], "nsatz_compute (tactic)": [[7, "coq:tacn.nsatz_compute"]], "admit obligations (command)": [[9, "coq:cmd.Admit-Obligations"]], "final obligation (command)": [[9, "coq:cmd.Final-Obligation"]], "ill-formed recursive definition (error)": [[9, "coq:exn.Ill-formed-recursive-definition"]], "next obligation (command)": [[9, "coq:cmd.Next-Obligation"]], "non extensible universe declaration not supported with monomorphic program definition (error)": [[9, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition"]], "obligation (command)": [[9, "coq:cmd.Obligation"]], "obligation tactic (command)": [[9, "coq:cmd.Obligation-Tactic"]], "obligations (command)": [[9, "coq:cmd.Obligations"]], "preterm (command)": [[9, "coq:cmd.Preterm"]], "program (attribute)": [[9, "coq:attr.Program"], [9, "coq:attr.program"]], "program cases (flag)": [[9, "coq:flag.Program-Cases"]], "program generalized coercion (flag)": [[9, "coq:flag.Program-Generalized-Coercion"]], "program mode (flag)": [[9, "coq:flag.Program-Mode"]], "show obligation tactic (command)": [[9, "coq:cmd.Show-Obligation-Tactic"]], "solve all obligations (command)": [[9, "coq:cmd.Solve-All-Obligations"]], "solve obligations (command)": [[9, "coq:cmd.Solve-Obligations"]], "transparent obligations (flag)": [[9, "coq:flag.Transparent-Obligations"]], "rewrite rule (command)": [[10, "coq:cmd.Rewrite-Rule"]], "rewrite rules (command)": [[10, "coq:cmd.Rewrite-Rules"]], "rewrite rule declaration requires passing the flag \"-allow-rewrite-rules\" (error)": [[10, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\""]], "symbol (command)": [[10, "coq:cmd.Symbol"]], "symbols (command)": [[10, "coq:cmd.Symbols"]], "add field (command)": [[11, "coq:cmd.Add-Field"]], "add ring (command)": [[11, "coq:cmd.Add-Ring"]], "arguments of ring_simplify do not have all the same type (error)": [[11, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type"]], "bad lemma for decidability of equality (error)": [[11, "coq:exn.Bad-lemma-for-decidability-of-equality"]], "bad ring structure (error)": [[11, "coq:exn.Bad-ring-structure"]], "cannot find a declared ring structure for equality \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019"]], "cannot find a declared ring structure over \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019"]], "not a valid ring equation (error)": [[11, "coq:exn.Not-a-valid-ring-equation"]], "print fields (command)": [[11, "coq:cmd.Print-Fields"]], "print rings (command)": [[11, "coq:cmd.Print-Rings"]], "ring operation should be declared as a morphism (error)": [[11, "coq:exn.Ring-operation-should-be-declared-as-a-morphism"]], "field (tactic)": [[11, "coq:tacn.field"]], "field_lookup (tactic)": [[11, "coq:tacn.field_lookup"]], "field_simplify (tactic)": [[11, "coq:tacn.field_simplify"]], "field_simplify_eq (tactic)": [[11, "coq:tacn.field_simplify_eq"]], "protect_fv (tactic)": [[11, "coq:tacn.protect_fv"]], "ring (tactic)": [[11, "coq:tacn.ring"]], "ring_lookup (tactic)": [[11, "coq:tacn.ring_lookup"]], "ring_simplify (tactic)": [[11, "coq:tacn.ring_simplify"]], "allow strictprop (flag)": [[12, "coq:flag.Allow-StrictProp"]], "bad relevance (warning)": [[12, "coq:warn.Bad-relevance"]], "definitional uip (flag)": [[12, "coq:flag.Definitional-UIP"]], "printing relevance marks (flag)": [[12, "coq:flag.Printing-Relevance-Marks"]], "sprop is disallowed because the \"allow strictprop\" flag is off (error)": [[12, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off"]], ":: (substructure)": [[13, "index-0"]], "class (command)": [[13, "coq:cmd.Class"]], "declare instance (command)": [[13, "coq:cmd.Declare-Instance"]], "existing class (command)": [[13, "coq:cmd.Existing-Class"]], "existing instance (command)": [[13, "coq:cmd.Existing-Instance"]], "existing instances (command)": [[13, "coq:cmd.Existing-Instances"]], "ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class (warning)": [[13, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class"]], "instance (command)": [[13, "coq:cmd.Instance"]], "print instances (command)": [[13, "coq:cmd.Print-Instances"]], "print typeclasses (command)": [[13, "coq:cmd.Print-Typeclasses"]], "typeclass resolution for conversion (flag)": [[13, "coq:flag.Typeclass-Resolution-For-Conversion"]], "typeclasses debug (flag)": [[13, "coq:flag.Typeclasses-Debug"]], "typeclasses debug verbosity (option)": [[13, "coq:opt.Typeclasses-Debug-Verbosity"]], "typeclasses default mode (option)": [[13, "coq:opt.Typeclasses-Default-Mode"]], "typeclasses dependency order (flag)": [[13, "coq:flag.Typeclasses-Dependency-Order"]], "typeclasses depth (option)": [[13, "coq:opt.Typeclasses-Depth"]], "typeclasses iterative deepening (flag)": [[13, "coq:flag.Typeclasses-Iterative-Deepening"]], "typeclasses limit intros (flag)": [[13, "coq:flag.Typeclasses-Limit-Intros"]], "typeclasses opaque (command)": [[13, "coq:cmd.Typeclasses-Opaque"]], "typeclasses strict resolution (flag)": [[13, "coq:flag.Typeclasses-Strict-Resolution"]], "typeclasses transparent (command)": [[13, "coq:cmd.Typeclasses-Transparent"]], "typeclasses unique instances (flag)": [[13, "coq:flag.Typeclasses-Unique-Instances"]], "typeclasses unique solutions (flag)": [[13, "coq:flag.Typeclasses-Unique-Solutions"]], "typeclasses eauto (command)": [[13, "coq:cmd.Typeclasses-eauto"]], "using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d (warning)": [[13, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d"]], "autoapply (tactic)": [[13, "coq:tacn.autoapply"]], "mode (attribute)": [[13, "coq:attr.mode"]], "refine (attribute)": [[13, "coq:attr.refine"]], "typeclasses eauto (tactic)": [[13, "coq:tacn.typeclasses-eauto"]], "\u2018ident\u2019 is already declared as a typeclass (warning)": [[13, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass"]], "constraint (command)": [[14, "coq:cmd.Constraint"]], "cumulative (attribute)": [[14, "coq:attr.Cumulative"]], "cumulativity weak constraints (flag)": [[14, "coq:flag.Cumulativity-Weak-Constraints"]], "monomorphic (attribute)": [[14, "coq:attr.Monomorphic"]], "noncumulative (attribute)": [[14, "coq:attr.NonCumulative"]], "polymorphic (attribute)": [[14, "coq:attr.Polymorphic"]], "polymorphic inductive cumulativity (flag)": [[14, "coq:flag.Polymorphic-Inductive-Cumulativity"]], "polymorphic universe constraints can only be declared inside sections, use monomorphic constraint instead (error)": [[14, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead"]], "polymorphic universes can only be declared inside sections, use monomorphic universe instead (error)": [[14, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead"]], "print universes (command)": [[14, "coq:cmd.Print-Universes"]], "printing universes (flag)": [[14, "coq:flag.Printing-Universes"]], "private polymorphic universes (flag)": [[14, "coq:flag.Private-Polymorphic-Universes"]], "strict universe declaration (flag)": [[14, "coq:flag.Strict-Universe-Declaration"]], "the cumulative attribute can only be used in a polymorphic context (error)": [[14, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context"]], "undeclared universe \u2018ident\u2019 (error)": [[14, "coq:exn.Undeclared-universe-\u2018ident\u2019"]], "universe (command)": [[14, "coq:cmd.Universe"]], "universe minimization toset (flag)": [[14, "coq:flag.Universe-Minimization-ToSet"]], "universe polymorphism (flag)": [[14, "coq:flag.Universe-Polymorphism"]], "universe inconsistency (error)": [[14, "coq:exn.Universe-inconsistency"]], "universes (command)": [[14, "coq:cmd.Universes"]], "universes(cumulative) (attribute)": [[14, "coq:attr.universes(cumulative)"]], "universes(polymorphic) (attribute)": [[14, "coq:attr.universes(polymorphic)"]], "* (term)": [[27, "index-9"]], "+ (term)": [[27, "index-9"]], "a*b (term)": [[27, "index-9"]], "a+b (term)": [[27, "index-9"]], "a+{b} (term)": [[27, "index-13"]], "acc (term)": [[27, "index-20"]], "acc_inv (term)": [[27, "index-20"]], "acc_rect (term)": [[27, "index-20"]], "choice (term)": [[27, "index-14"]], "choice2 (term)": [[27, "index-14"]], "connectives": [[27, "index-1"]], "datatypes": [[27, "index-7"]], "equality": [[27, "index-4"]], "exc (term)": [[27, "index-15"]], "false (term)": [[27, "index-1"], [27, "index-8"]], "false_rec (term)": [[27, "index-16"]], "false_rect (term)": [[27, "index-16"]], "fix_f (term)": [[27, "index-21"]], "fix_f_eq (term)": [[27, "index-21"]], "fix_f_inv (term)": [[27, "index-21"]], "fix_eq (term)": [[27, "index-21"]], "i (term)": [[27, "index-1"]], "issucc (term)": [[27, "index-17"]], "none (term)": [[27, "index-8"]], "o (term)": [[27, "index-8"]], "o_s (term)": [[27, "index-17"]], "programming": [[27, "index-8"]], "quantifiers": [[27, "index-3"]], "recursion": [[27, "index-20"]], "s (term)": [[27, "index-8"]], "some (term)": [[27, "index-8"]], "theories": [[27, "index-0"]], "true (term)": [[27, "index-1"], [27, "index-8"]], "well founded induction": [[27, "index-20"]], "well foundedness": [[27, "index-20"]], "absurd (term)": [[27, "index-5"]], "absurd_set (term)": [[27, "index-16"]], "all (term)": [[27, "index-3"]], "and (term)": [[27, "index-1"]], "and_rect (term)": [[27, "index-16"]], "bool (term)": [[27, "index-8"]], "bool_choice (term)": [[27, "index-14"]], "conj (term)": [[27, "index-1"]], "eq (term)": [[27, "index-4"]], "eq_s (term)": [[27, "index-17"]], "eq_add_s (term)": [[27, "index-17"]], "eq_ind_r (term)": [[27, "index-5"]], "eq_rec_r (term)": [[27, "index-5"]], "eq_rect (term)": [[27, "index-16"], [27, "index-5"]], "eq_rect_r (term)": [[27, "index-5"]], "eq_refl (term)": [[27, "index-4"]], "eq_sym (term)": [[27, "index-5"]], "eq_trans (term)": [[27, "index-5"]], "error (term)": [[27, "index-15"]], "ex (term)": [[27, "index-3"]], "ex2 (term)": [[27, "index-3"]], "ex_intro (term)": [[27, "index-3"]], "ex_intro2 (term)": [[27, "index-3"]], "exist (term)": [[27, "index-10"]], "exist2 (term)": [[27, "index-10"]], "existt (term)": [[27, "index-11"]], "existt2 (term)": [[27, "index-11"]], "exists (term)": [[27, "index-3"]], "exists2 (term)": [[27, "index-3"]], "f_equal (term)": [[27, "index-5"]], "f_equal2 ... f_equal5 (term)": [[27, "index-6"]], "fst (term)": [[27, "index-9"]], "ge (term)": [[27, "index-18"]], "gt (term)": [[27, "index-18"]], "identity (term)": [[27, "index-8"]], "iff (term)": [[27, "index-1"]], "inl (term)": [[27, "index-9"]], "inleft (term)": [[27, "index-13"]], "inr (term)": [[27, "index-9"]], "inright (term)": [[27, "index-13"]], "le (term)": [[27, "index-18"]], "le_s (term)": [[27, "index-18"]], "le_n (term)": [[27, "index-18"]], "left (term)": [[27, "index-12"]], "lt (term)": [[27, "index-18"]], "mult (term)": [[27, "index-17"]], "mult_n_o (term)": [[27, "index-17"]], "mult_n_sm (term)": [[27, "index-17"]], "n_sn (term)": [[27, "index-17"]], "nat (term)": [[27, "index-8"]], "nat_case (term)": [[27, "index-19"]], "nat_double_ind (term)": [[27, "index-19"]], "not (term)": [[27, "index-1"]], "nott (term)": [[27, "index-2"]], "not_eq_s (term)": [[27, "index-17"]], "option (term)": [[27, "index-8"]], "or (term)": [[27, "index-1"]], "or_introl (term)": [[27, "index-1"]], "or_intror (term)": [[27, "index-1"]], "pair (term)": [[27, "index-9"]], "plus (term)": [[27, "index-17"]], "plus_n_o (term)": [[27, "index-17"]], "plus_n_sm (term)": [[27, "index-17"]], "pred (term)": [[27, "index-17"]], "pred_sn (term)": [[27, "index-17"]], "prod (term)": [[27, "index-9"]], "proj1 (term)": [[27, "index-1"]], "proj2 (term)": [[27, "index-1"]], "projt1 (term)": [[27, "index-11"]], "projt2 (term)": [[27, "index-11"]], "refl_identity (term)": [[27, "index-8"]], "right (term)": [[27, "index-12"]], "sig (term)": [[27, "index-10"]], "sig2 (term)": [[27, "index-10"]], "sigt (term)": [[27, "index-11"]], "sigt2 (term)": [[27, "index-11"]], "snd (term)": [[27, "index-9"]], "sum (term)": [[27, "index-9"]], "sumbool (term)": [[27, "index-12"]], "sumor (term)": [[27, "index-13"]], "sym_not_eq (term)": [[27, "index-5"]], "tt (term)": [[27, "index-8"]], "unit (term)": [[27, "index-8"]], "value (term)": [[27, "index-15"]], "well_founded (term)": [[27, "index-20"]], "{a}+{b} (term)": [[27, "index-12"]], "{x:a & p x} (term)": [[27, "index-11"]], "{x:a | p x} (term)": [[27, "index-10"]], "axiom (command)": [[28, "coq:cmd.Axiom"]], "axioms (command)": [[28, "coq:cmd.Axioms"]], "conjecture (command)": [[28, "coq:cmd.Conjecture"]], "conjectures (command)": [[28, "coq:cmd.Conjectures"]], "hypotheses (command)": [[28, "coq:cmd.Hypotheses"]], "hypothesis (command)": [[28, "coq:cmd.Hypothesis"]], "parameter (command)": [[28, "coq:cmd.Parameter"]], "parameters (command)": [[28, "coq:cmd.Parameters"]], "use of \"variable\" or \"hypothesis\" outside sections behaves as \"#[local] parameter\" or \"#[local] axiom\" (warning)": [[28, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\""]], "variable (command)": [[28, "coq:cmd.Variable"]], "variables (command)": [[28, "coq:cmd.Variables"]], "forall": [[28, "index-1"]], "fun": [[28, "index-0"]], "\u2018ident\u2019 already exists. (axiom) (error)": [[28, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"]], "add (command)": [[29, "coq:cmd.Add"]], "attributes (command)": [[29, "coq:cmd.Attributes"]], "comments (command)": [[29, "coq:cmd.Comments"]], "print options (command)": [[29, "coq:cmd.Print-Options"]], "print table (command)": [[29, "coq:cmd.Print-Table"]], "print tables (command)": [[29, "coq:cmd.Print-Tables"]], "remove (command)": [[29, "coq:cmd.Remove"]], "set (command)": [[29, "coq:cmd.Set"]], "test (command)": [[29, "coq:cmd.Test"]], "there is no flag or option with this name: \"\u2018setting_name\u2019\" (warning)": [[29, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no flag, option or table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no qualid-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no string-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "this command does not support this attribute (warning)": [[29, "coq:warn.This-command-does-not-support-this-attribute"]], "unset (command)": [[29, "coq:cmd.Unset"]], "command": [[29, "term-command"]], "sentence": [[29, "term-sentence"]], "tactic": [[29, "term-tactic"]], "term": [[29, "term-term"]], "type": [[29, "term-type"], [39, "index-0"]], "warning (attribute)": [[29, "coq:attr.warning"]], "warnings (attribute)": [[29, "coq:attr.warnings"]], "cofixpoint (command)": [[30, "coq:cmd.CoFixpoint"]], "coinductive (command)": [[30, "coq:cmd.CoInductive"]], "cofix": [[30, "index-0"]], "... : ... (type cast)": [[32, "index-1"]], "... :> ... (volatile type cast)": [[32, "index-1"]], "... <: ... (vm type cast)": [[32, "index-1"]], "... <<: ... (native compute type cast)": [[32, "index-1"]], "corollary (command)": [[32, "coq:cmd.Corollary"]], "definition (command)": [[32, "coq:cmd.Definition"]], "example (command)": [[32, "coq:cmd.Example"]], "fact (command)": [[32, "coq:cmd.Fact"]], "lemma (command)": [[32, "coq:cmd.Lemma"]], "nested proofs are discouraged and not allowed by default. this error probably means that you forgot to close the last \"proof.\" with \"qed.\" or \"defined.\". if you really intended to use nested proofs, you can do so by turning the \"nested proofs allowed\" flag on (error)": [[32, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"]], "property (command)": [[32, "coq:cmd.Property"]], "proposition (command)": [[32, "coq:cmd.Proposition"]], "remark (command)": [[32, "coq:cmd.Remark"]], "the term \u2018term\u2019 has type \u2018type\u2019 which should be set, prop or type (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type"]], "the term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019' (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'"]], "theorem (command)": [[32, "coq:cmd.Theorem"]], "let ... := ... (term)": [[32, "index-0"]], "\u2018ident\u2019 already exists. (definition) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)"]], "\u2018ident\u2019 already exists. (theorem) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"]], "auto template polymorphism (flag)": [[34, "coq:flag.Auto-Template-Polymorphism"]], "automatically declaring \u2018ident\u2019 as template polymorphic (warning)": [[34, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic"]], "dependent proposition eliminators (flag)": [[34, "coq:flag.Dependent-Proposition-Eliminators"]], "fixpoint (command)": [[34, "coq:cmd.Fixpoint"]], "ill-formed template inductive declaration: not polymorphic on any universe (error)": [[34, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe"]], "inductive (command)": [[34, "coq:cmd.Inductive"]], "non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019 (error)": [[34, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019"]], "the conclusion of \u2018type\u2019 is not valid": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "uniform inductive parameters (flag)": [[34, "coq:flag.Uniform-Inductive-Parameters"]], "fix": [[34, "index-0"]], "it must be built from \u2018ident\u2019 (error)": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "template and polymorphism not compatible (error)": [[34, "coq:exn.template-and-polymorphism-not-compatible"]], "universes(template) (attribute)": [[34, "coq:attr.universes(template)"]], "cannot import local constant, it will be ignored (warning)": [[35, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored"]], "declare module (command)": [[35, "coq:cmd.Declare-Module"]], "export (command)": [[35, "coq:cmd.Export"]], "import (command)": [[35, "coq:cmd.Import"]], "include (command)": [[35, "coq:cmd.Include"]], "include type (command)": [[35, "coq:cmd.Include-Type"]], "module (command)": [[35, "coq:cmd.Module"]], "module type (command)": [[35, "coq:cmd.Module-Type"]], "no field named \u2018ident\u2019 in \u2018qualid\u2019 (error)": [[35, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019"]], "print module (command)": [[35, "coq:cmd.Print-Module"]], "print module type (command)": [[35, "coq:cmd.Print-Module-Type"]], "print namespace (command)": [[35, "coq:cmd.Print-Namespace"]], "short module printing (flag)": [[35, "coq:flag.Short-Module-Printing"]], "signature components for field \u2018ident\u2019 do not match (error)": [[35, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match"]], "the field \u2018ident\u2019 is missing in \u2018qualid\u2019 (error)": [[35, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019"]], "trying to mask the absolute name \u2018qualid\u2019! (warning)": [[35, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!"]], "export (attribute)": [[35, "coq:attr.export"]], "global (attribute)": [[35, "coq:attr.global"]], "local (attribute)": [[35, "coq:attr.local"]], "\u2018qualid\u2019 is not a module (error)": [[35, "coq:exn.\u2018qualid\u2019-is-not-a-module"]], "primitive projections (flag)": [[37, "coq:flag.Primitive-Projections"]], "printing constructor (table)": [[37, "coq:table.Printing-Constructor"]], "printing primitive projection parameters (flag)": [[37, "coq:flag.Printing-Primitive-Projection-Parameters"]], "printing projections (flag)": [[37, "coq:flag.Printing-Projections"]], "printing record (table)": [[37, "coq:table.Printing-Record"]], "printing records (flag)": [[37, "coq:flag.Printing-Records"]], "printing unfolded projection as match (flag)": [[37, "coq:flag.Printing-Unfolded-Projection-As-Match"]], "record (command)": [[37, "coq:cmd.Record"]], "records declared with the keyword record or structure cannot be recursive (error)": [[37, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive"]], "structure (command)": [[37, "coq:cmd.Structure"]], "projections(primitive) (attribute)": [[37, "coq:attr.projections(primitive)"]], "\u2018ident\u2019 already exists (error)": [[37, "coq:exn.\u2018ident\u2019-already-exists"]], "\u2018ident\u2019 cannot be defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined"]], "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not"]], "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined"]], "context (command)": [[38, "coq:cmd.Context"]], "end (command)": [[38, "coq:cmd.End"]], "last block to end has name \u2018ident\u2019 (error)": [[38, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019"]], "let (command)": [[38, "coq:cmd.Let"]], "let cofixpoint (command)": [[38, "coq:cmd.Let-CoFixpoint"]], "let fixpoint (command)": [[38, "coq:cmd.Let-Fixpoint"]], "section (command)": [[38, "coq:cmd.Section"]], "there is nothing to end (error)": [[38, "coq:exn.There-is-nothing-to-end"]], "clearbody (attribute)": [[38, "coq:attr.clearbody"]], "prop": [[39, "index-0"]], "sprop": [[39, "index-0"]], "set (sort)": [[39, "index-0"]], "casts are not supported in this pattern (error)": [[40, "coq:exn.Casts-are-not-supported-in-this-pattern"]], "private (attribute)": [[40, "coq:attr.Private"]], "the \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019 (error)": [[40, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019"]], "variant (command)": [[40, "coq:cmd.Variant"]], "match ... with ...": [[40, "index-0"]], "private(matching) (attribute)": [[40, "coq:attr.private(matching)"]], "arguments (command)": [[41, "coq:cmd.Arguments"]], "arguments of section variables such as \u2018name\u2019 may not be renamed (error)": [[41, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed"]], "flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019 (error)": [[41, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019"]], "the & modifier may only occur once (error)": [[41, "coq:exn.The-&-modifier-may-only-occur-once"]], "the 'clear implicits' flag must be omitted if implicit annotations are given (error)": [[41, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given"]], "the 'default implicits' flag is incompatible with implicit annotations (error)": [[41, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations"]], "the / modifier may only occur once (error)": [[41, "coq:exn.The-/-modifier-may-only-occur-once"]], "this command is just asserting the names of arguments of \u2018qualid\u2019. if this is what you want, add ': assert' to silence the warning. if you want to clear implicit arguments, add ': clear implicits'. if you want to clear notation scopes, add ': clear scopes' (warning)": [[41, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"]], "to rename arguments the 'rename' flag must be specified (error)": [[41, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified"]], "canonical structure (command)": [[42, "coq:cmd.Canonical-Structure"]], "print canonical projections (command)": [[42, "coq:cmd.Print-Canonical-Projections"]], "canonical (attribute)": [[42, "coq:attr.canonical"]], "printing existential instances (flag)": [[43, "coq:flag.Printing-Existential-Instances"]], "_": [[43, "index-0"]], "argument at position \u2018natural\u2019 is mentioned more than once (error)": [[44, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once"]], "argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal. please use { } instead of [ ] (error)": [[44, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"]], "arguments given by name or position not supported in explicit mode (error)": [[44, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode"]], "cannot infer a term for this placeholder. (casual use of implicit arguments) (error)": [[44, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"]], "contextual implicit (flag)": [[44, "coq:flag.Contextual-Implicit"]], "generalizable (command)": [[44, "coq:cmd.Generalizable"]], "ignoring implicit binder declaration in unexpected position (warning)": [[44, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position"]], "implicit arguments (flag)": [[44, "coq:flag.Implicit-Arguments"]], "implicit type (command)": [[44, "coq:cmd.Implicit-Type"]], "implicit types (command)": [[44, "coq:cmd.Implicit-Types"]], "making shadowed name of implicit argument accessible by position (warning)": [[44, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position"]], "maximal implicit insertion (flag)": [[44, "coq:flag.Maximal-Implicit-Insertion"]], "not enough non implicit arguments to accept the argument bound to \u2018ident\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019"]], "not enough non implicit arguments to accept the argument bound to \u2018natural\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019"]], "parsing explicit (flag)": [[44, "coq:flag.Parsing-Explicit"]], "print implicit (command)": [[44, "coq:cmd.Print-Implicit"]], "printing implicit (flag)": [[44, "coq:flag.Printing-Implicit"]], "printing implicit defensive (flag)": [[44, "coq:flag.Printing-Implicit-Defensive"]], "printing use implicit types (flag)": [[44, "coq:flag.Printing-Use-Implicit-Types"]], "reversible pattern implicit (flag)": [[44, "coq:flag.Reversible-Pattern-Implicit"]], "strict implicit (flag)": [[44, "coq:flag.Strict-Implicit"]], "strongly strict implicit (flag)": [[44, "coq:flag.Strongly-Strict-Implicit"]], "wrong argument name (error)": [[44, "coq:exn.Wrong-argument-name"]], "wrong argument position (error)": [[44, "coq:exn.Wrong-argument-position"]], "`( )": [[44, "index-2"]], "`(! )": [[44, "index-5"]], "`[ ]": [[44, "index-1"]], "`[! ]": [[44, "index-4"]], "`{ }": [[44, "index-0"]], "`{! }": [[44, "index-3"]], "asymmetric patterns (flag)": [[46, "coq:flag.Asymmetric-Patterns"]], "either there is a type incompatibility or the problem involves dependencies (error)": [[46, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies"]], "found a constructor of inductive type term while a constructor of term is expected (error)": [[46, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected"]], "non exhaustive pattern matching (error)": [[46, "coq:exn.Non-exhaustive-pattern-matching"]], "printing allow match default clause (flag)": [[46, "coq:flag.Printing-Allow-Match-Default-Clause"]], "printing factorizable match patterns (flag)": [[46, "coq:flag.Printing-Factorizable-Match-Patterns"]], "printing if (table)": [[46, "coq:table.Printing-If"]], "printing let (table)": [[46, "coq:table.Printing-Let"]], "printing match all subterms (flag)": [[46, "coq:flag.Printing-Match-All-Subterms"]], "printing matching (flag)": [[46, "coq:flag.Printing-Matching"]], "printing synth (flag)": [[46, "coq:flag.Printing-Synth"]], "printing wildcard (flag)": [[46, "coq:flag.Printing-Wildcard"]], "the constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments (error)": [[46, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments"]], "the elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case) (error)": [[46, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)"]], "the variable ident is bound several times in pattern term (error)": [[46, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term"]], "unable to infer a match predicate (error)": [[46, "coq:exn.Unable-to-infer-a-match-predicate"]], "unused variable \u2018ident\u2019 might be a misspelled constructor. use _ or _\u2018ident\u2019 to silence this warning (warning)": [[46, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning."]], "coqtop exit on error (flag)": [[51, "coq:flag.Coqtop-Exit-On-Error"]], "+ (backtracking branching) (tactic)": [[54, "coq:tacn.+-(backtracking-branching)"]], "::=": [[54, "index-0"]], "argument of match does not evaluate to a term (error)": [[54, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term"]], "condition not satisfied (error)": [[54, "coq:exn.Condition-not-satisfied"]], "debug (command)": [[54, "coq:cmd.Debug"]], "debug mode not available in the ide (error)": [[54, "coq:exn.Debug-mode-not-available-in-the-IDE"]], "expression does not evaluate to a tactic (error)": [[54, "coq:exn.Expression-does-not-evaluate-to-a-tactic"]], "failed to progress (error)": [[54, "coq:exn.Failed-to-progress"]], "info (command)": [[54, "coq:cmd.Info"]], "info level (option)": [[54, "coq:opt.Info-Level"]], "ltac (command)": [[54, "coq:cmd.Ltac"]], "ltac backtrace (flag)": [[54, "coq:flag.Ltac-Backtrace"]], "ltac batch debug (flag)": [[54, "coq:flag.Ltac-Batch-Debug"]], "ltac debug (flag)": [[54, "coq:flag.Ltac-Debug"]], "ltac profiler encountered an invalid stack (no self node). this can happen if you reset the profile during tactic execution (warning)": [[54, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"]], "ltac profiling (flag)": [[54, "coq:flag.Ltac-Profiling"]], "no applicable tactic (error)": [[54, "coq:exn.No-applicable-tactic"]], "no evars (error)": [[54, "coq:exn.No-evars"]], "no matching clauses for match (error)": [[54, "coq:exn.No-matching-clauses-for-match"]], "no matching clauses for match goal (error)": [[54, "coq:exn.No-matching-clauses-for-match-goal"]], "no such goal. (goal selector) (error)": [[54, "coq:exn.No-such-goal.-(Goal-selector)"]], "no such goal. (fail) (error)": [[54, "coq:exn.No-such-goal.-(fail)"]], "not a context variable (error)": [[54, "coq:exn.Not-a-context-variable"]], "not a variable or hypothesis (error)": [[54, "coq:exn.Not-a-variable-or-hypothesis"]], "not an evar (error)": [[54, "coq:exn.Not-an-evar"]], "not equal (due to universes) (error)": [[54, "coq:exn.Not-equal-(due-to-universes)"]], "not equal (error)": [[54, "coq:exn.Not-equal"]], "not ground (error)": [[54, "coq:exn.Not-ground"]], "print ltac (command)": [[54, "coq:cmd.Print-Ltac"]], "print ltac signatures (command)": [[54, "coq:cmd.Print-Ltac-Signatures"]], "reset ltac profile (command)": [[54, "coq:cmd.Reset-Ltac-Profile"]], "show ltac profile (command)": [[54, "coq:cmd.Show-Ltac-Profile"]], "tactic failure (error)": [[54, "coq:exn.Tactic-failure"]], "tactic failure (level \u2018natural\u2019) (error)": [[54, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)"]], "tactic failure: <tactic closure> succeeds (error)": [[54, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds"]], "there is already an ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019"]], "there is no ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019"]], "this tactic has more than one success (error)": [[54, "coq:exn.This-tactic-has-more-than-one-success"]], "unbound context identifier \u2018ident\u2019 (error)": [[54, "coq:exn.Unbound-context-identifier-\u2018ident\u2019"]], "[ \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "[> \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "assert_fails (tactic)": [[54, "coq:tacn.assert_fails"]], "assert_succeeds (tactic)": [[54, "coq:tacn.assert_succeeds"]], "constr_eq (tactic)": [[54, "coq:tacn.constr_eq"]], "constr_eq_nounivs (tactic)": [[54, "coq:tacn.constr_eq_nounivs"]], "constr_eq_strict (tactic)": [[54, "coq:tacn.constr_eq_strict"]], "context (tactic)": [[54, "coq:tacn.context"]], "convert (tactic)": [[54, "coq:tacn.convert"]], "do (tactic)": [[54, "coq:tacn.do"]], "exactly_once (tactic)": [[54, "coq:tacn.exactly_once"]], "fail (tactic)": [[54, "coq:tacn.fail"]], "finish_timing (tactic)": [[54, "coq:tacn.finish_timing"]], "first (tactic)": [[54, "coq:tacn.first"]], "fresh (tactic)": [[54, "coq:tacn.fresh"]], "fun (tactic)": [[54, "coq:tacn.fun"]], "gfail (tactic)": [[54, "coq:tacn.gfail"]], "guard (tactic)": [[54, "coq:tacn.guard"]], "has_evar (tactic)": [[54, "coq:tacn.has_evar"]], "idtac (tactic)": [[54, "coq:tacn.idtac"]], "infoh (command)": [[54, "coq:cmd.infoH"]], "is_cofix (tactic)": [[54, "coq:tacn.is_cofix"]], "is_const (tactic)": [[54, "coq:tacn.is_const"]], "is_constructor (tactic)": [[54, "coq:tacn.is_constructor"]], "is_evar (tactic)": [[54, "coq:tacn.is_evar"]], "is_fix (tactic)": [[54, "coq:tacn.is_fix"]], "is_ground (tactic)": [[54, "coq:tacn.is_ground"]], "is_ind (tactic)": [[54, "coq:tacn.is_ind"]], "is_proj (tactic)": [[54, "coq:tacn.is_proj"]], "is_var (tactic)": [[54, "coq:tacn.is_var"]], "lazymatch (tactic)": [[54, "coq:tacn.lazymatch"]], "lazymatch goal (tactic)": [[54, "coq:tacn.lazymatch-goal"]], "let (tactic)": [[54, "coq:tacn.let"]], "ltac-seq (tactic)": [[54, "coq:tacn.ltac-seq"]], "match (tactic)": [[54, "coq:tacn.match"]], "match goal (tactic)": [[54, "coq:tacn.match-goal"]], "multimatch (tactic)": [[54, "coq:tacn.multimatch"]], "multimatch goal (tactic)": [[54, "coq:tacn.multimatch-goal"]], "not a cofix definition (error)": [[54, "coq:exn.not-a-cofix-definition"]], "not a constant (error)": [[54, "coq:exn.not-a-constant"]], "not a constructor (error)": [[54, "coq:exn.not-a-constructor"]], "not a fix definition (error)": [[54, "coq:exn.not-a-fix-definition"]], "not a primitive projection (error)": [[54, "coq:exn.not-a-primitive-projection"]], "not an (co)inductive datatype (error)": [[54, "coq:exn.not-an-(co)inductive-datatype"]], "not_evar (tactic)": [[54, "coq:tacn.not_evar"]], "numgoals (tactic)": [[54, "coq:tacn.numgoals"]], "once (tactic)": [[54, "coq:tacn.once"]], "only (tactic)": [[54, "coq:tacn.only"]], "optimize_heap (tactic)": [[54, "coq:tacn.optimize_heap"]], "progress (tactic)": [[54, "coq:tacn.progress"]], "repeat (tactic)": [[54, "coq:tacn.repeat"]], "reset ltac profile (tactic)": [[54, "coq:tacn.reset-ltac-profile"]], "restart_timer (tactic)": [[54, "coq:tacn.restart_timer"]], "show ltac profile (tactic)": [[54, "coq:tacn.show-ltac-profile"]], "solve (tactic)": [[54, "coq:tacn.solve"]], "start ltac profiling (tactic)": [[54, "coq:tacn.start-ltac-profiling"]], "stop ltac profiling (tactic)": [[54, "coq:tacn.stop-ltac-profiling"]], "time (tactic)": [[54, "coq:tacn.time"]], "time_constr (tactic)": [[54, "coq:tacn.time_constr"]], "timeout (tactic)": [[54, "coq:tacn.timeout"]], "try (tactic)": [[54, "coq:tacn.try"]], "tryif (tactic)": [[54, "coq:tacn.tryif"]], "type of (tactic)": [[54, "coq:tacn.type-of"]], "type_term (tactic)": [[54, "coq:tacn.type_term"]], "unify (tactic)": [[54, "coq:tacn.unify"]], "|| (first tactic making progress) (tactic)": [[54, "coq:tacn.||-(first-tactic-making-progress)"]], "\u2026 : \u2026 (goal selector) (tactic)": [[54, "coq:tacn.\u2026-:-\u2026-(goal-selector)"]], "ltac2 (command)": [[55, "coq:cmd.Ltac2"]], "ltac2 backtrace (flag)": [[55, "coq:flag.Ltac2-Backtrace"]], "ltac2 check (command)": [[55, "coq:cmd.Ltac2-Check"]], "ltac2 eval (command)": [[55, "coq:cmd.Ltac2-Eval"]], "ltac2 globalize (command)": [[55, "coq:cmd.Ltac2-Globalize"]], "ltac2 in ltac1 profiling (flag)": [[55, "coq:flag.Ltac2-In-Ltac1-Profiling"]], "ltac2 notation (abbreviation) (command)": [[55, "coq:cmd.Ltac2-Notation-(abbreviation)"]], "ltac2 notation (command)": [[55, "coq:cmd.Ltac2-Notation"]], "ltac2 set (command)": [[55, "coq:cmd.Ltac2-Set"]], "ltac2 type (command)": [[55, "coq:cmd.Ltac2-Type"]], "ltac2 typed notations (flag)": [[55, "coq:flag.Ltac2-Typed-Notations"]], "ltac2 external (command)": [[55, "coq:cmd.Ltac2-external"]], "notation levels must range between 0 and 6 (error)": [[55, "coq:exn.Notation-levels-must-range-between-0-and-6"]], "print ltac2 (command)": [[55, "coq:cmd.Print-Ltac2"]], "print ltac2 signatures (command)": [[55, "coq:cmd.Print-Ltac2-Signatures"]], "print ltac2 type (command)": [[55, "coq:cmd.Print-Ltac2-Type"]], "the reference x was not found in the current environment (error)": [[55, "coq:exn.The-reference-X-was-not-found-in-the-current-environment"]], "unbound [value|constructor] x (error)": [[55, "coq:exn.Unbound-[value|constructor]-X"]], "abstract (attribute)": [[55, "coq:attr.abstract"]], "if-then-else (ltac2) (tactic)": [[55, "coq:tacn.if-then-else-(Ltac2)"]], "lazy_match! (tactic)": [[55, "coq:tacn.lazy_match!"]], "lazy_match! goal (tactic)": [[55, "coq:tacn.lazy_match!-goal"]], "match (ltac2) (tactic)": [[55, "coq:tacn.match-(Ltac2)"]], "match! (tactic)": [[55, "coq:tacn.match!"]], "match! goal (tactic)": [[55, "coq:tacn.match!-goal"]], "multi_match! (tactic)": [[55, "coq:tacn.multi_match!"]], "multi_match! goal (tactic)": [[55, "coq:tacn.multi_match!-goal"]], "=> (tactic)": [[57, "coq:tacn.=>"]], "debug ssrmatching (flag)": [[57, "coq:flag.Debug-SsrMatching"]], "debug ssreflect (flag)": [[57, "coq:flag.Debug-Ssreflect"]], "duplicate clear of h. use { }h instead of { h }h (warning)": [[57, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"]], "hint view for (command)": [[57, "coq:cmd.Hint-View-for"]], "hint view for apply (command)": [[57, "coq:cmd.Hint-View-for-apply"]], "hint view for move (command)": [[57, "coq:cmd.Hint-View-for-move"]], "incorrect number of tactics (expected n tactics, was given m) (error)": [[57, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)"]], "prenex implicits (command)": [[57, "coq:cmd.Prenex-Implicits"]], "ssreflect: cannot obtain new equations out of ... (warning)": [[57, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-..."]], "ssrhave notcresolution (flag)": [[57, "coq:flag.SsrHave-NoTCResolution"]], "ssridents (flag)": [[57, "coq:flag.SsrIdents"]], "ssroldrewritegoalsorder (flag)": [[57, "coq:flag.SsrOldRewriteGoalsOrder"]], "ssrrewrite (flag)": [[57, "coq:flag.SsrRewrite"]], "abstract (ssreflect) (tactic)": [[57, "coq:tacn.abstract-(ssreflect)"]], "apply (ssreflect) (tactic)": [[57, "coq:tacn.apply-(ssreflect)"]], "by (tactic)": [[57, "coq:tacn.by"]], "case (ssreflect) (tactic)": [[57, "coq:tacn.case-(ssreflect)"]], "congr (tactic)": [[57, "coq:tacn.congr"]], "do (ssreflect) (tactic)": [[57, "coq:tacn.do-(ssreflect)"]], "done (tactic)": [[57, "coq:tacn.done"]], "elim (ssreflect) (tactic)": [[57, "coq:tacn.elim-(ssreflect)"]], "exact (ssreflect) (tactic)": [[57, "coq:tacn.exact-(ssreflect)"]], "first (ssreflect) (tactic)": [[57, "coq:tacn.first-(ssreflect)"]], "first last (tactic variant)": [[57, "coq:tacv.first-last"]], "generally have (tactic)": [[57, "coq:tacn.generally-have"]], "have (tactic)": [[57, "coq:tacn.have"]], "in (tactic)": [[57, "coq:tacn.in"]], "last (tactic)": [[57, "coq:tacn.last"]], "last first (tactic variant)": [[57, "coq:tacv.last-first"]], "move (ssreflect) (tactic)": [[57, "coq:tacn.move-(ssreflect)"]], "over (tactic)": [[57, "coq:tacn.over"]], "pose (ssreflect) (tactic)": [[57, "coq:tacn.pose-(ssreflect)"]], "rewrite (ssreflect) (tactic)": [[57, "coq:tacn.rewrite-(ssreflect)"]], "set (ssreflect) (tactic)": [[57, "coq:tacn.set-(ssreflect)"]], "suff (tactic)": [[57, "coq:tacn.suff"]], "suffices (tactic)": [[57, "coq:tacn.suffices"]], "under (tactic)": [[57, "coq:tacn.under"]], "unlock (tactic)": [[57, "coq:tacn.unlock"]], "without loss (tactic)": [[57, "coq:tacn.without-loss"]], "wlog (tactic)": [[57, "coq:tacn.wlog"]], "\u2026 : \u2026 (ssreflect) (tactic)": [[57, "coq:tacn.\u2026-:-\u2026-(ssreflect)"]], "cannot change \u2018ident\u2019, it is used in conclusion (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion"]], "cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019"]], "cannot infer a term for this placeholder. (refine) (error)": [[58, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019"]], "default goal selector (option)": [[58, "coq:opt.Default-Goal-Selector"]], "no product even after head-reduction (error)": [[58, "coq:exn.No-product-even-after-head-reduction"]], "no quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction (error)": [[58, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction"]], "no such assumption (error)": [[58, "coq:exn.No-such-assumption"]], "no such binder (error)": [[58, "coq:exn.No-such-binder"]], "no such bound variable \u2018ident\u2019 (no bound variables at all in the expression) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)"]], "no such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ...) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)"]], "no such hypothesis: \u2018ident\u2019 (error)": [[58, "coq:exn.No-such-hypothesis:-\u2018ident\u2019"]], "no \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction (error)": [[58, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction"]], "not an exact proof (error)": [[58, "coq:exn.Not-an-exact-proof"]], "not the right number of missing arguments (expected \u2018natural\u2019) (error)": [[58, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)"]], "proof is not complete. (assert) (error)": [[58, "coq:exn.Proof-is-not-complete.-(assert)"]], "the term \"\u2018type\u2019\" has type \"\u2018type\u2019\" which should be set, prop or type (error)": [[58, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type"]], "the variable \u2018ident\u2019 is already declared (error)": [[58, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared"]], "unable to apply lemma of type \"...\" on hypothesis of type \"...\" (error)": [[58, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\""]], "unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019 (error)": [[58, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019"]], "unable to unify \u2018one_term\u2019 with \u2018one_term\u2019 (error)": [[58, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019"]], "absurd (tactic)": [[58, "coq:tacn.absurd"]], "apply (tactic)": [[58, "coq:tacn.apply"]], "assert (tactic)": [[58, "coq:tacn.assert"]], "assumption (tactic)": [[58, "coq:tacn.assumption"]], "classical_left (tactic)": [[58, "coq:tacn.classical_left"]], "classical_right (tactic)": [[58, "coq:tacn.classical_right"]], "clear (tactic)": [[58, "coq:tacn.clear"]], "clear dependent (tactic)": [[58, "coq:tacn.clear-dependent"]], "clearbody (tactic)": [[58, "coq:tacn.clearbody"]], "contradict (tactic)": [[58, "coq:tacn.contradict"]], "contradiction (tactic)": [[58, "coq:tacn.contradiction"]], "cut (tactic)": [[58, "coq:tacn.cut"]], "dependent generalize_eqs (tactic)": [[58, "coq:tacn.dependent-generalize_eqs"]], "dependent generalize_eqs_vars (tactic)": [[58, "coq:tacn.dependent-generalize_eqs_vars"]], "eapply (tactic)": [[58, "coq:tacn.eapply"]], "eassert (tactic)": [[58, "coq:tacn.eassert"]], "eassumption (tactic)": [[58, "coq:tacn.eassumption"]], "eenough (tactic)": [[58, "coq:tacn.eenough"]], "eexact (tactic)": [[58, "coq:tacn.eexact"]], "eintros (tactic)": [[58, "coq:tacn.eintros"]], "enough (tactic)": [[58, "coq:tacn.enough"]], "epose (tactic)": [[58, "coq:tacn.epose"]], "epose proof (tactic)": [[58, "coq:tacn.epose-proof"]], "eremember (tactic)": [[58, "coq:tacn.eremember"]], "eset (tactic)": [[58, "coq:tacn.eset"]], "evar (tactic)": [[58, "coq:tacn.evar"]], "exact (tactic)": [[58, "coq:tacn.exact"]], "exact_no_check (tactic)": [[58, "coq:tacn.exact_no_check"]], "exfalso (tactic)": [[58, "coq:tacn.exfalso"]], "generalize (tactic)": [[58, "coq:tacn.generalize"]], "generalize dependent (tactic)": [[58, "coq:tacn.generalize-dependent"]], "generalize_eqs (tactic)": [[58, "coq:tacn.generalize_eqs"]], "generalize_eqs_vars (tactic)": [[58, "coq:tacn.generalize_eqs_vars"]], "instantiate (tactic)": [[58, "coq:tacn.instantiate"]], "intro (tactic)": [[58, "coq:tacn.intro"]], "intros (tactic)": [[58, "coq:tacn.intros"]], "intros until (tactic)": [[58, "coq:tacn.intros-until"]], "lapply (tactic)": [[58, "coq:tacn.lapply"]], "lapply needs a non-dependent product (error)": [[58, "coq:exn.lapply-needs-a-non-dependent-product"]], "move (tactic)": [[58, "coq:tacn.move"]], "native_cast_no_check (tactic)": [[58, "coq:tacn.native_cast_no_check"]], "pose (tactic)": [[58, "coq:tacn.pose"]], "pose proof (tactic)": [[58, "coq:tacn.pose-proof"]], "rapply (tactic)": [[58, "coq:tacn.rapply"]], "refine (tactic)": [[58, "coq:tacn.refine"]], "remember (tactic)": [[58, "coq:tacn.remember"]], "rename (tactic)": [[58, "coq:tacn.rename"]], "revert (tactic)": [[58, "coq:tacn.revert"]], "revert dependent (tactic)": [[58, "coq:tacn.revert-dependent"]], "set (tactic)": [[58, "coq:tacn.set"]], "simple apply (tactic)": [[58, "coq:tacn.simple-apply"]], "simple eapply (tactic)": [[58, "coq:tacn.simple-eapply"]], "specialize (tactic)": [[58, "coq:tacn.specialize"]], "specialize_eqs (tactic)": [[58, "coq:tacn.specialize_eqs"]], "vm_cast_no_check (tactic)": [[58, "coq:tacn.vm_cast_no_check"]], "\u2018ident\u2019 is already used (error)": [[58, "coq:exn.\u2018ident\u2019-is-already-used"]], "\u2018ident\u2019 is not a local definition (error)": [[58, "coq:exn.\u2018ident\u2019-is-not-a-local-definition"]], "\u2018ident\u2019 is used in the conclusion (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion"]], "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019"]], "about (command)": [[59, "coq:cmd.About"]], "back (command)": [[59, "coq:cmd.Back"]], "backto (command)": [[59, "coq:cmd.BackTo"]], "bad magic number (error)": [[59, "coq:exn.Bad-magic-number"]], "cannot find library foo in loadpath (error)": [[59, "coq:exn.Cannot-find-library-foo-in-loadpath"]], "cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019 (error)": [[59, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019"]], "can\u2019t find file \u2018ident\u2019 on loadpath (error)": [[59, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath"]], "check (command)": [[59, "coq:cmd.Check"]], "compiled library \u2018ident\u2019.vo makes inconsistent assumptions over library \u2018qualid\u2019 (error)": [[59, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019"]], "debug (option)": [[59, "coq:opt.Debug"]], "declare ml module (command)": [[59, "coq:cmd.Declare-ML-Module"]], "default timeout (option)": [[59, "coq:opt.Default-Timeout"]], "drop (command)": [[59, "coq:cmd.Drop"]], "dynlink error: execution of module initializers in the (error)": [[59, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the"]], "fail (command)": [[59, "coq:cmd.Fail"]], "fast name printing (flag)": [[59, "coq:flag.Fast-Name-Printing"]], "file ... found twice in ... (warning)": [[59, "coq:warn.File-...-found-twice-in-..."]], "file not found on loadpath: \u2018string\u2019 (error)": [[59, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019"]], "files processed by load cannot leave open proofs (error)": [[59, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs"]], "from \u2026 dependency (command)": [[59, "coq:cmd.From-\u2026-Dependency"]], "from \u2026 require (command)": [[59, "coq:cmd.From-\u2026-Require"]], "guard checking (flag)": [[59, "coq:flag.Guard-Checking"]], "inspect (command)": [[59, "coq:cmd.Inspect"]], "instructions (command)": [[59, "coq:cmd.Instructions"]], "invalid backtrack (error)": [[59, "coq:exn.Invalid-backtrack"]], "load (command)": [[59, "coq:cmd.Load"]], "load is not supported inside proofs (error)": [[59, "coq:exn.Load-is-not-supported-inside-proofs"]], "locate (command)": [[59, "coq:cmd.Locate"]], "locate file (command)": [[59, "coq:cmd.Locate-File"]], "locate library (command)": [[59, "coq:cmd.Locate-Library"]], "locate ltac (command)": [[59, "coq:cmd.Locate-Ltac"]], "locate ltac2 (command)": [[59, "coq:cmd.Locate-Ltac2"]], "locate module (command)": [[59, "coq:cmd.Locate-Module"]], "locate term (command)": [[59, "coq:cmd.Locate-Term"]], "module/section \u2018qualid\u2019 not found (error)": [[59, "coq:exn.Module/section-\u2018qualid\u2019-not-found"]], "positivity checking (flag)": [[59, "coq:flag.Positivity-Checking"]], "primitive (command)": [[59, "coq:cmd.Primitive"]], "print (command)": [[59, "coq:cmd.Print"]], "print all (command)": [[59, "coq:cmd.Print-All"]], "print all dependencies (command)": [[59, "coq:cmd.Print-All-Dependencies"]], "print assumptions (command)": [[59, "coq:cmd.Print-Assumptions"]], "print libraries (command)": [[59, "coq:cmd.Print-Libraries"]], "print loadpath (command)": [[59, "coq:cmd.Print-LoadPath"]], "print ml modules (command)": [[59, "coq:cmd.Print-ML-Modules"]], "print ml path (command)": [[59, "coq:cmd.Print-ML-Path"]], "print opaque dependencies (command)": [[59, "coq:cmd.Print-Opaque-Dependencies"]], "print registered (command)": [[59, "coq:cmd.Print-Registered"]], "print registered schemes (command)": [[59, "coq:cmd.Print-Registered-Schemes"]], "print section (command)": [[59, "coq:cmd.Print-Section"]], "print transparent dependencies (command)": [[59, "coq:cmd.Print-Transparent-Dependencies"]], "print typing flags (command)": [[59, "coq:cmd.Print-Typing-Flags"]], "printing all (flag)": [[59, "coq:flag.Printing-All"]], "printing compact contexts (flag)": [[59, "coq:flag.Printing-Compact-Contexts"]], "printing dependent evars line (flag)": [[59, "coq:flag.Printing-Dependent-Evars-Line"]], "printing depth (option)": [[59, "coq:opt.Printing-Depth"]], "printing unfocused (flag)": [[59, "coq:flag.Printing-Unfocused"]], "printing width (option)": [[59, "coq:opt.Printing-Width"]], "profile (command)": [[59, "coq:cmd.Profile"]], "quit (command)": [[59, "coq:cmd.Quit"]], "redirect (command)": [[59, "coq:cmd.Redirect"]], "register (command)": [[59, "coq:cmd.Register"]], "register inline (command)": [[59, "coq:cmd.Register-Inline"]], "register scheme (command)": [[59, "coq:cmd.Register-Scheme"]], "require (command)": [[59, "coq:cmd.Require"]], "require export (command)": [[59, "coq:cmd.Require-Export"]], "require import (command)": [[59, "coq:cmd.Require-Import"]], "require inside a module is deprecated and strongly discouraged. you can require a module at toplevel and optionally import it inside another one (warning)": [[59, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"]], "required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ...) (error)": [[59, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)"]], "reset (command)": [[59, "coq:cmd.Reset"]], "reset initial (command)": [[59, "coq:cmd.Reset-Initial"]], "search (command)": [[59, "coq:cmd.Search"]], "search blacklist (table)": [[59, "coq:table.Search-Blacklist"]], "search output name only (flag)": [[59, "coq:flag.Search-Output-Name-Only"]], "searchpattern (command)": [[59, "coq:cmd.SearchPattern"]], "searchrewrite (command)": [[59, "coq:cmd.SearchRewrite"]], "silent (flag)": [[59, "coq:flag.Silent"]], "succeed (command)": [[59, "coq:cmd.Succeed"]], "the command has not failed! (error)": [[59, "coq:exn.The-command-has-not-failed!"]], "the file \u2018ident\u2019.vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019 (error)": [[59, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019"]], "the type \u2018ident\u2019 must be registered before this construction can be typechecked (error)": [[59, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked"]], "this object does not support universe names (error)": [[59, "coq:exn.This-object-does-not-support-universe-names"]], "time (command)": [[59, "coq:cmd.Time"]], "timeout (command)": [[59, "coq:cmd.Timeout"]], "type (command)": [[59, "coq:cmd.Type"]], "universe checking (flag)": [[59, "coq:flag.Universe-Checking"]], "universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019 (error)": [[59, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019"]], "warnings (option)": [[59, "coq:opt.Warnings"]], "bypass_check(guard) (attribute)": [[59, "coq:attr.bypass_check(guard)"]], "bypass_check(positivity) (attribute)": [[59, "coq:attr.bypass_check(positivity)"]], "bypass_check(universes) (attribute)": [[59, "coq:attr.bypass_check(universes)"]], "package-name.foo and not foo_plugin (error)": [[59, "coq:exn.package-name.foo-and-not-foo_plugin"]], "plugin name anymore. plugins should be loaded using their (error)": [[59, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"]], "public name according to findlib, for example (error)": [[59, "coq:exn.public-name-according-to-findlib,-for-example"]], "shared library failed: coq error: \u2018string\u2019 is not a valid (error)": [[59, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid"]], "\u2018qualid\u2019 not a defined object (error)": [[59, "coq:exn.\u2018qualid\u2019-not-a-defined-object"]], "cannot coerce \u2018qualid\u2019 to an evaluable reference (error)": [[60, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference"]], "create hintdb (command)": [[60, "coq:cmd.Create-HintDb"]], "debug auto (flag)": [[60, "coq:flag.Debug-Auto"]], "debug eauto (flag)": [[60, "coq:flag.Debug-Eauto"]], "debug trivial (flag)": [[60, "coq:flag.Debug-Trivial"]], "declaring arbitrary terms as hints is fragile and deprecated": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "hint constants (command)": [[60, "coq:cmd.Hint-Constants"]], "hint constructors (command)": [[60, "coq:cmd.Hint-Constructors"]], "hint cut (command)": [[60, "coq:cmd.Hint-Cut"]], "hint extern (command)": [[60, "coq:cmd.Hint-Extern"]], "hint immediate (command)": [[60, "coq:cmd.Hint-Immediate"]], "hint mode (command)": [[60, "coq:cmd.Hint-Mode"]], "hint opaque (command)": [[60, "coq:cmd.Hint-Opaque"]], "hint projections (command)": [[60, "coq:cmd.Hint-Projections"]], "hint resolve (command)": [[60, "coq:cmd.Hint-Resolve"]], "hint rewrite (command)": [[60, "coq:cmd.Hint-Rewrite"]], "hint transparent (command)": [[60, "coq:cmd.Hint-Transparent"]], "hint unfold (command)": [[60, "coq:cmd.Hint-Unfold"]], "hint variables (command)": [[60, "coq:cmd.Hint-Variables"]], "info auto (flag)": [[60, "coq:flag.Info-Auto"]], "info eauto (flag)": [[60, "coq:flag.Info-Eauto"]], "info trivial (flag)": [[60, "coq:flag.Info-Trivial"]], "loose hint behavior (option)": [[60, "coq:opt.Loose-Hint-Behavior"]], "print hint (command)": [[60, "coq:cmd.Print-Hint"]], "print hintdb (command)": [[60, "coq:cmd.Print-HintDb"]], "print rewrite hintdb (command)": [[60, "coq:cmd.Print-Rewrite-HintDb"]], "proof with (command)": [[60, "coq:cmd.Proof-with"]], "remove hints (command)": [[60, "coq:cmd.Remove-Hints"]], "the \"at\" syntax isn't available yet for the autorewrite tactic (error)": [[60, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic"]], "this hint is not local but depends on a section variable. it will disappear when the section is closed (warning)": [[60, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"]], "auto (tactic)": [[60, "coq:tacn.auto"]], "autorewrite (tactic)": [[60, "coq:tacn.autorewrite"]], "autounfold (tactic)": [[60, "coq:tacn.autounfold"]], "autounfold_one (tactic)": [[60, "coq:tacn.autounfold_one"]], "debug auto (tactic)": [[60, "coq:tacn.debug-auto"]], "debug eauto (tactic)": [[60, "coq:tacn.debug-eauto"]], "debug trivial (tactic)": [[60, "coq:tacn.debug-trivial"]], "easy (tactic)": [[60, "coq:tacn.easy"]], "eauto (tactic)": [[60, "coq:tacn.eauto"]], "info_auto (tactic)": [[60, "coq:tacn.info_auto"]], "info_eauto (tactic)": [[60, "coq:tacn.info_eauto"]], "info_trivial (tactic)": [[60, "coq:tacn.info_trivial"]], "it is recommended to declare a toplevel constant instead (warning)": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "mismatched-hint-db (warning)": [[60, "coq:warn.mismatched-hint-db"]], "now (tactic)": [[60, "coq:tacn.now"]], "trivial (tactic)": [[60, "coq:tacn.trivial"]], "\u2018qualid\u2019 cannot be used as a hint (error)": [[60, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint"]], "\u2018qualid\u2019 is not an inductive type (error)": [[60, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type"]], "cannot recognize a boolean equality (error)": [[62, "coq:exn.Cannot-recognize-a-boolean-equality"]], "firstorder depth (option)": [[62, "coq:opt.Firstorder-Depth"]], "firstorder solver (option)": [[62, "coq:opt.Firstorder-Solver"]], "goal is solvable by congruence but some arguments are missing. try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms (error)": [[62, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"]], "i don\u2019t know how to handle dependent equality (error)": [[62, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality"]], "intuition negation unfolding (flag)": [[62, "coq:flag.Intuition-Negation-Unfolding"]], "print firstorder solver (command)": [[62, "coq:cmd.Print-Firstorder-Solver"]], "btauto (tactic)": [[62, "coq:tacn.btauto"]], "congruence (tactic)": [[62, "coq:tacn.congruence"]], "dintuition (tactic)": [[62, "coq:tacn.dintuition"]], "dtauto (tactic)": [[62, "coq:tacn.dtauto"]], "firstorder (tactic)": [[62, "coq:tacn.firstorder"]], "intuition (tactic)": [[62, "coq:tacn.intuition"]], "rtauto (tactic)": [[62, "coq:tacn.rtauto"]], "simple congruence (tactic)": [[62, "coq:tacn.simple-congruence"]], "tauto (tactic)": [[62, "coq:tacn.tauto"]], "bad occurrence number of \u2018qualid\u2019 (error)": [[64, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019"]], "cannot find a relation to rewrite (error)": [[64, "coq:exn.Cannot-find-a-relation-to-rewrite"]], "cannot find any non-recursive equality over \u2018ident\u2019 (error)": [[64, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019"]], "cannot turn [inductive|constructor] into an evaluable reference (error)": [[64, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference"]], "compute (command)": [[64, "coq:cmd.Compute"]], "declare equivalent keys (command)": [[64, "coq:cmd.Declare-Equivalent-Keys"]], "declare left step (command)": [[64, "coq:cmd.Declare-Left-Step"]], "declare reduction (command)": [[64, "coq:cmd.Declare-Reduction"]], "declare right step (command)": [[64, "coq:cmd.Declare-Right-Step"]], "eval (command)": [[64, "coq:cmd.Eval"]], "found an \"at\" clause without \"with\" clause (error)": [[64, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause"]], "found no subterm matching \u2018term\u2019 in the current goal (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal"]], "found no subterm matching \u2018term\u2019 in \u2018ident\u2019 (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019"]], "kernel term sharing (flag)": [[64, "coq:flag.Kernel-Term-Sharing"]], "keyed unification (flag)": [[64, "coq:flag.Keyed-Unification"]], "nativecompute profile filename (option)": [[64, "coq:opt.NativeCompute-Profile-Filename"]], "nativecompute profiling (flag)": [[64, "coq:flag.NativeCompute-Profiling"]], "nativecompute timing (flag)": [[64, "coq:flag.NativeCompute-Timing"]], "no head constant to reduce (error)": [[64, "coq:exn.No-head-constant-to-reduce"]], "not convertible (error)": [[64, "coq:exn.Not-convertible"]], "opaque (command)": [[64, "coq:cmd.Opaque"]], "print equivalent keys (command)": [[64, "coq:cmd.Print-Equivalent-Keys"]], "print strategies (command)": [[64, "coq:cmd.Print-Strategies"]], "print strategy (command)": [[64, "coq:cmd.Print-Strategy"]], "regular subst tactic (flag)": [[64, "coq:flag.Regular-Subst-Tactic"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019 (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion"]], "strategy (command)": [[64, "coq:cmd.Strategy"]], "tactic failure: setoid library not loaded (error)": [[64, "coq:exn.Tactic-failure:-Setoid-library-not-loaded"]], "tactic generated a subgoal identical to the original goal (error)": [[64, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal"]], "terms do not have convertible types (error)": [[64, "coq:exn.Terms-do-not-have-convertible-types"]], "the reference is not unfoldable (error)": [[64, "coq:exn.The-reference-is-not-unfoldable"]], "the reference \u2018qualid\u2019 was not found in the current environment (error)": [[64, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment"]], "the relation \u2018ident\u2019 is not a declared reflexive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared symmetric relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared transitive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "transparent (command)": [[64, "coq:cmd.Transparent"]], "cbn (tactic)": [[64, "coq:tacn.cbn"]], "cbv (tactic)": [[64, "coq:tacn.cbv"]], "change (tactic)": [[64, "coq:tacn.change"]], "change_no_check (tactic)": [[64, "coq:tacn.change_no_check"]], "compute (tactic)": [[64, "coq:tacn.compute"]], "erewrite (tactic)": [[64, "coq:tacn.erewrite"]], "etransitivity (tactic)": [[64, "coq:tacn.etransitivity"]], "eval (tactic)": [[64, "coq:tacn.eval"]], "f_equal (tactic)": [[64, "coq:tacn.f_equal"]], "fold (tactic)": [[64, "coq:tacn.fold"]], "hnf (tactic)": [[64, "coq:tacn.hnf"]], "lazy (tactic)": [[64, "coq:tacn.lazy"]], "native_compute (tactic)": [[64, "coq:tacn.native_compute"]], "now_show (tactic)": [[64, "coq:tacn.now_show"]], "pattern (tactic)": [[64, "coq:tacn.pattern"]], "red (tactic)": [[64, "coq:tacn.red"]], "reflexivity (tactic)": [[64, "coq:tacn.reflexivity"]], "replace (tactic)": [[64, "coq:tacn.replace"]], "rewrite (tactic)": [[64, "coq:tacn.rewrite"]], "rewrite * (tactic)": [[64, "coq:tacn.rewrite-*"]], "simpl (tactic)": [[64, "coq:tacn.simpl"]], "simple subst (tactic)": [[64, "coq:tacn.simple-subst"]], "stepl (tactic)": [[64, "coq:tacn.stepl"]], "stepr (tactic)": [[64, "coq:tacn.stepr"]], "subst (tactic)": [[64, "coq:tacn.subst"]], "substitute (tactic)": [[64, "coq:tacn.substitute"]], "symmetry (tactic)": [[64, "coq:tacn.symmetry"]], "transitivity (tactic)": [[64, "coq:tacn.transitivity"]], "unfold (tactic)": [[64, "coq:tacn.unfold"]], "vm_compute (tactic)": [[64, "coq:tacn.vm_compute"]], "with_strategy (tactic)": [[64, "coq:tacn.with_strategy"]], "\u2018ident\u2019 is opaque (error)": [[64, "coq:exn.\u2018ident\u2019-is-opaque"]], "\u2018qualid\u2019 does not occur (error)": [[64, "coq:exn.\u2018qualid\u2019-does-not-occur"]], "\"all\" is a predefined collection containing all variables. it can't be redefined (error)": [[66, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"]], "abort (command)": [[66, "coq:cmd.Abort"]], "admitted (command)": [[66, "coq:cmd.Admitted"]], "attempt to save an incomplete proof (error)": [[66, "coq:exn.Attempt-to-save-an-incomplete-proof"]], "brackets do not support multi-goal selectors (error)": [[66, "coq:exn.Brackets-do-not-support-multi-goal-selectors"]], "bullet behavior (option)": [[66, "coq:opt.Bullet-Behavior"]], "collection (command)": [[66, "coq:cmd.Collection"]], "default proof mode (option)": [[66, "coq:opt.Default-Proof-Mode"]], "default proof using (option)": [[66, "coq:opt.Default-Proof-Using"]], "defined (command)": [[66, "coq:cmd.Defined"]], "diffs (option)": [[66, "coq:opt.Diffs"]], "focus (command)": [[66, "coq:cmd.Focus"]], "goal (command)": [[66, "coq:cmd.Goal"]], "guarded (command)": [[66, "coq:cmd.Guarded"]], "hyps limit (option)": [[66, "coq:opt.Hyps-Limit"]], "mangle names (flag)": [[66, "coq:flag.Mangle-Names"]], "mangle names light (flag)": [[66, "coq:flag.Mangle-Names-Light"]], "mangle names prefix (option)": [[66, "coq:opt.Mangle-Names-Prefix"]], "nested proofs allowed (flag)": [[66, "coq:flag.Nested-Proofs-Allowed"]], "new collection definition of \u2018ident\u2019 shadows the previous one (warning)": [[66, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one"]], "no focused proof (no proof-editing in progress) (error)": [[66, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)"]], "no focused proof (error)": [[66, "coq:exn.No-focused-proof"]], "no focused proof to restart (error)": [[66, "coq:exn.No-focused-proof-to-restart"]], "no such goal (error)": [[66, "coq:exn.No-such-goal"]], "no such goal (\u2018ident\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018ident\u2019)"]], "no such goal (\u2018natural\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018natural\u2019)"]], "no such goal. focus next goal with bullet \u2018bullet\u2019 (error)": [[66, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"]], "no such goal. try unfocusing with } (error)": [[66, "coq:exn.No-such-goal.-Try-unfocusing-with-}"]], "optimize heap (command)": [[66, "coq:cmd.Optimize-Heap"]], "optimize proof (command)": [[66, "coq:cmd.Optimize-Proof"]], "print debug gc (command)": [[66, "coq:cmd.Print-Debug-GC"]], "printing goal names (flag)": [[66, "coq:flag.Printing-Goal-Names"]], "printing goal tags (flag)": [[66, "coq:flag.Printing-Goal-Tags"]], "proof (command)": [[66, "coq:cmd.Proof"]], "proof mode (command)": [[66, "coq:cmd.Proof-Mode"]], "proof `term` (command)": [[66, "coq:cmd.Proof-`term`"]], "proof is not complete. (abstract) (error)": [[66, "coq:exn.Proof-is-not-complete.-(abstract)"]], "proof using (command)": [[66, "coq:cmd.Proof-using"]], "qed (command)": [[66, "coq:cmd.Qed"]], "restart (command)": [[66, "coq:cmd.Restart"]], "save (command)": [[66, "coq:cmd.Save"]], "show (command)": [[66, "coq:cmd.Show"]], "show conjectures (command)": [[66, "coq:cmd.Show-Conjectures"]], "show existentials (command)": [[66, "coq:cmd.Show-Existentials"]], "show goal (command)": [[66, "coq:cmd.Show-Goal"]], "show intro (command)": [[66, "coq:cmd.Show-Intro"]], "show intros (command)": [[66, "coq:cmd.Show-Intros"]], "show match (command)": [[66, "coq:cmd.Show-Match"]], "show proof (command)": [[66, "coq:cmd.Show-Proof"]], "show universes (command)": [[66, "coq:cmd.Show-Universes"]], "solve unification constraints (flag)": [[66, "coq:flag.Solve-Unification-Constraints"]], "suggest proof using (flag)": [[66, "coq:flag.Suggest-Proof-Using"]], "this proof is focused, but cannot be unfocused this way (error)": [[66, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way"]], "undo (command)": [[66, "coq:cmd.Undo"]], "unfocus (command)": [[66, "coq:cmd.Unfocus"]], "unfocused (command)": [[66, "coq:cmd.Unfocused"]], "unknown inductive type (error)": [[66, "coq:exn.Unknown-inductive-type"]], "unshelve (command)": [[66, "coq:cmd.Unshelve"]], "validate proof (command)": [[66, "coq:cmd.Validate-Proof"]], "variable all is shadowed by collection named all containing all variables (warning)": [[66, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables"]], "wrong bullet \u2018bullet\u2019: bullet \u2018bullet\u2019 is mandatory here (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here"]], "wrong bullet \u2018bullet\u2019: current bullet \u2018bullet\u2019 is not finished (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished"]], "abstract (tactic)": [[66, "coq:tacn.abstract"]], "admit (tactic)": [[66, "coq:tacn.admit"]], "bullet (- + *) (tactic)": [[66, "coq:tacn.bullet-(--+-*)"]], "cycle (tactic)": [[66, "coq:tacn.cycle"]], "give_up (tactic)": [[66, "coq:tacn.give_up"]], "revgoals (tactic)": [[66, "coq:tacn.revgoals"]], "shelve (tactic)": [[66, "coq:tacn.shelve"]], "shelve_unifiable (tactic)": [[66, "coq:tacn.shelve_unifiable"]], "solve_constraints (tactic)": [[66, "coq:tacn.solve_constraints"]], "swap (tactic)": [[66, "coq:tacn.swap"]], "transparent_abstract (tactic)": [[66, "coq:tacn.transparent_abstract"]], "unshelve (tactic)": [[66, "coq:tacn.unshelve"]], "using (attribute)": [[66, "coq:attr.using"]], "{ (tactic)": [[66, "coq:tacn.{"]], "} (tactic)": [[66, "coq:tacn.}"]], "\u2018ident\u2019 is both name of a collection and variable, collection \u2018ident\u2019 takes precedence over variable (warning)": [[66, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable"]], "\u2018ident\u2019 was already a defined variable, the name \u2018ident\u2019 will refer to collection when executing \"proof using\" command (warning)": [[66, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command"]], "boolean equality schemes (flag)": [[67, "coq:flag.Boolean-Equality-Schemes"]], "cannot recognize a statement based on \u2018reference\u2019 (error)": [[67, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019"]], "case analysis schemes (flag)": [[67, "coq:flag.Case-Analysis-Schemes"]], "combined scheme (command)": [[67, "coq:cmd.Combined-Scheme"]], "decidable equality schemes (flag)": [[67, "coq:flag.Decidable-Equality-Schemes"]], "derive dependent inversion (command)": [[67, "coq:cmd.Derive-Dependent-Inversion"]], "derive dependent inversion_clear (command)": [[67, "coq:cmd.Derive-Dependent-Inversion_clear"]], "derive inversion (command)": [[67, "coq:cmd.Derive-Inversion"]], "derive inversion_clear (command)": [[67, "coq:cmd.Derive-Inversion_clear"]], "elimination schemes (flag)": [[67, "coq:flag.Elimination-Schemes"]], "keep equalities (table)": [[67, "coq:table.Keep-Equalities"]], "keep proof equalities (flag)": [[67, "coq:flag.Keep-Proof-Equalities"]], "no information can be deduced from this equality and the injectivity of constructors. this may be because the terms are convertible, or due to pattern matching restrictions in the sort prop. you can try to use option set keep proof equalities (error)": [[67, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"]], "no primitive equality found (error)": [[67, "coq:exn.No-primitive-equality-found"]], "nonrecursive elimination schemes (flag)": [[67, "coq:flag.Nonrecursive-Elimination-Schemes"]], "not a discriminable equality (error)": [[67, "coq:exn.Not-a-discriminable-equality"]], "not a negated primitive equality (error)": [[67, "coq:exn.Not-a-negated-primitive-equality"]], "not an inductive goal with 1 constructor (error)": [[67, "coq:exn.Not-an-inductive-goal-with-1-constructor"]], "not an inductive goal with 2 constructors (error)": [[67, "coq:exn.Not-an-inductive-goal-with-2-constructors"]], "not an inductive product (error)": [[67, "coq:exn.Not-an-inductive-product"]], "not enough constructors (error)": [[67, "coq:exn.Not-enough-constructors"]], "nothing to inject (error)": [[67, "coq:exn.Nothing-to-inject"]], "rewriting schemes (flag)": [[67, "coq:flag.Rewriting-Schemes"]], "scheme (command)": [[67, "coq:cmd.Scheme"]], "scheme boolean equality (command)": [[67, "coq:cmd.Scheme-Boolean-Equality"]], "scheme equality (command)": [[67, "coq:cmd.Scheme-Equality"]], "structural injection (flag)": [[67, "coq:flag.Structural-Injection"]], "the type has no constructors (error)": [[67, "coq:exn.The-type-has-no-constructors"]], "type of \u2018ident\u2019 is not an equality of recognized \u03c3 types: expected one of sig sig2 sigt sigt2 sigt2 ex or ex2 but got \u2018term\u2019 (error)": [[67, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019"]], "unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019 (error)": [[67, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019"]], "case (tactic)": [[67, "coq:tacn.case"]], "case_eq (tactic)": [[67, "coq:tacn.case_eq"]], "cofix (tactic)": [[67, "coq:tacn.cofix"]], "compare (tactic)": [[67, "coq:tacn.compare"]], "constructor (tactic)": [[67, "coq:tacn.constructor"]], "decide (tactic)": [[67, "coq:tacn.decide"]], "decide equality (tactic)": [[67, "coq:tacn.decide-equality"]], "decompose (tactic)": [[67, "coq:tacn.decompose"]], "decompose record (tactic)": [[67, "coq:tacn.decompose-record"]], "decompose sum (tactic)": [[67, "coq:tacn.decompose-sum"]], "dependent destruction (tactic)": [[67, "coq:tacn.dependent-destruction"]], "dependent induction (tactic)": [[67, "coq:tacn.dependent-induction"]], "dependent inversion (tactic)": [[67, "coq:tacn.dependent-inversion"]], "dependent inversion_clear (tactic)": [[67, "coq:tacn.dependent-inversion_clear"]], "dependent rewrite (tactic)": [[67, "coq:tacn.dependent-rewrite"]], "dependent simple inversion (tactic)": [[67, "coq:tacn.dependent-simple-inversion"]], "destauto (tactic)": [[67, "coq:tacn.destauto"]], "destruct (tactic)": [[67, "coq:tacn.destruct"]], "discriminate (tactic)": [[67, "coq:tacn.discriminate"]], "ecase (tactic)": [[67, "coq:tacn.ecase"]], "econstructor (tactic)": [[67, "coq:tacn.econstructor"]], "edestruct (tactic)": [[67, "coq:tacn.edestruct"]], "ediscriminate (tactic)": [[67, "coq:tacn.ediscriminate"]], "eelim (tactic)": [[67, "coq:tacn.eelim"]], "eexists (tactic)": [[67, "coq:tacn.eexists"]], "einduction (tactic)": [[67, "coq:tacn.einduction"]], "einjection (tactic)": [[67, "coq:tacn.einjection"]], "eleft (tactic)": [[67, "coq:tacn.eleft"]], "elim (tactic)": [[67, "coq:tacn.elim"]], "eright (tactic)": [[67, "coq:tacn.eright"]], "esimplify_eq (tactic)": [[67, "coq:tacn.esimplify_eq"]], "esplit (tactic)": [[67, "coq:tacn.esplit"]], "exists (tactic)": [[67, "coq:tacn.exists"]], "fix (tactic)": [[67, "coq:tacn.fix"]], "induction (tactic)": [[67, "coq:tacn.induction"]], "injection (tactic)": [[67, "coq:tacn.injection"]], "inversion (tactic)": [[67, "coq:tacn.inversion"]], "inversion_clear (tactic)": [[67, "coq:tacn.inversion_clear"]], "inversion_sigma (tactic)": [[67, "coq:tacn.inversion_sigma"]], "left (tactic)": [[67, "coq:tacn.left"]], "right (tactic)": [[67, "coq:tacn.right"]], "simple destruct (tactic)": [[67, "coq:tacn.simple-destruct"]], "simple induction (tactic)": [[67, "coq:tacn.simple-induction"]], "simple injection (tactic)": [[67, "coq:tacn.simple-injection"]], "simple inversion (tactic)": [[67, "coq:tacn.simple-inversion"]], "simplify_eq (tactic)": [[67, "coq:tacn.simplify_eq"]], "split (tactic)": [[67, "coq:tacn.split"]], "\u2018ident\u2019 is not an equality of \u03c3 types (error)": [[67, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types"]], "'via' and 'abstract' cannot be used together (error)": [[71, "coq:exn.'via'-and-'abstract'-cannot-be-used-together"]], "activation of abbreviations does not expect mentioning a grammar entry (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry"]], "activation of abbreviations does not expect mentioning a scope (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope"]], "bind scope (command)": [[71, "coq:cmd.Bind-Scope"]], "cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment (error)": [[71, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment"]], "cannot interpret this number as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019"]], "cannot interpret this string as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019"]], "close scope (command)": [[71, "coq:cmd.Close-Scope"]], "declare custom entry (command)": [[71, "coq:cmd.Declare-Custom-Entry"]], "declare scope (command)": [[71, "coq:cmd.Declare-Scope"]], "delimit scope (command)": [[71, "coq:cmd.Delimit-Scope"]], "disable notation (command)": [[71, "coq:cmd.Disable-Notation"]], "enable notation (command)": [[71, "coq:cmd.Enable-Notation"]], "end of quoted string not followed by a space in notation (error)": [[71, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation"]], "found no matching notation to enable or disable (warning)": [[71, "coq:warn.Found-no-matching-notation-to-enable-or-disable"]], "infix (command)": [[71, "coq:cmd.Infix"]], "missing mapping for constructor \u2018qualid\u2019 (error)": [[71, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019"]], "more than one interpretation bound to this notation, confirm with the \"all\" modifier (error)": [[71, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier"]], "multiple 'via' options (error)": [[71, "coq:exn.Multiple-'via'-options"]], "multiple 'warning after' or 'abstract after' options (error)": [[71, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options"]], "no notation provided (error)": [[71, "coq:exn.No-notation-provided"]], "notation (abbreviation) (command)": [[71, "coq:cmd.Notation-(abbreviation)"]], "notation (command)": [[71, "coq:cmd.Notation"]], "number notation (command)": [[71, "coq:cmd.Number-Notation"]], "open scope (command)": [[71, "coq:cmd.Open-Scope"]], "print custom grammar (command)": [[71, "coq:cmd.Print-Custom-Grammar"]], "print grammar (command)": [[71, "coq:cmd.Print-Grammar"]], "print keywords (command)": [[71, "coq:cmd.Print-Keywords"]], "print notation (command)": [[71, "coq:cmd.Print-Notation"]], "print scope (command)": [[71, "coq:cmd.Print-Scope"]], "print scopes (command)": [[71, "coq:cmd.Print-Scopes"]], "print visibility (command)": [[71, "coq:cmd.Print-Visibility"]], "printing notations (flag)": [[71, "coq:flag.Printing-Notations"]], "printing parentheses (flag)": [[71, "coq:flag.Printing-Parentheses"]], "printing raw literals (flag)": [[71, "coq:flag.Printing-Raw-Literals"]], "reserved infix (command)": [[71, "coq:cmd.Reserved-Infix"]], "reserved notation (command)": [[71, "coq:cmd.Reserved-Notation"]], "scope delimiters should not start with an underscore (error)": [[71, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore"]], "scope names should not start with an underscore (error)": [[71, "coq:exn.Scope-names-should-not-start-with-an-underscore"]], "stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed) (warning)": [[71, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)"]], "string notation (command)": [[71, "coq:cmd.String-Notation"]], "syntax error: [prim:reference] expected after 'notation' (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])"]], "syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])"]], "tactic notation (command)": [[71, "coq:cmd.Tactic-Notation"]], "the 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type (warning)": [[71, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type"]], "to avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019 (warning)": [[71, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019"]], "type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. expected type is: \u2018type\u2019 instead of \u2018type\u2019. this might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"]], "undelimit scope (command)": [[71, "coq:cmd.Undelimit-Scope"]], "unexpected non-option term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected non-option term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unexpected only parsing for an only printing notation (error)": [[71, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation"]], "unexpected only printing for an only parsing notation (error)": [[71, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation"]], "unexpected term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unknown custom entry (error)": [[71, "coq:exn.Unknown-custom-entry"]], "unknown custom entry: \u2018ident\u2019 (error)": [[71, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019"]], "unterminated string in notation (error)": [[71, "coq:exn.Unterminated-string-in-notation"]], "use of \u2018string\u2019 notation is deprecated as it is inconsistent with pattern syntax (warning)": [[71, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax"]], "add_bottom (attribute)": [[71, "coq:attr.add_bottom"]], "add_top (attribute)": [[71, "coq:attr.add_top"]], "closed-notation-not-level-0 (warning)": [[71, "coq:warn.closed-notation-not-level-0"]], "function_scope": [[71, "index-1"]], "notation-incompatible-prefix (warning)": [[71, "coq:warn.notation-incompatible-prefix"]], "overflow in int63 literal \u2018bigint\u2019 (error)": [[71, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019"]], "postfix-notation-not-level-1 (warning)": [[71, "coq:warn.postfix-notation-not-level-1"]], "type_scope": [[71, "index-0"]], "\u2018qualid\u2019 is bound to a notation that does not denote a reference (error)": [[71, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference"]], "\u2018qualid\u2019 should go from byte.byte, (list byte.byte), or primstring.string to \u2018type\u2019 or (option \u2018type\u2019) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)"]], "\u2018qualid\u2019 should go from number.int to \u2018type\u2019 or (option \u2018type\u2019). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or primfloat.float or number.number could be used (you may need to require binnums or number or primint63 or primfloat first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to number.int or (option number.int). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or number.number could be used (you may need to require binnums or number or primint63 first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to t or (option t), where t is either byte.byte, (list byte.byte), or primstring.string (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string"]], "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019 (error)": [[71, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018string\u2019 cannot be interpreted as a known notation. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018type\u2019 is not an inductive type (error)": [[71, "coq:exn.\u2018type\u2019-is-not-an-inductive-type"]], "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation"]], "cannot build functional inversion principle (warning)": [[72, "coq:warn.Cannot-build-functional-inversion-principle"]], "cannot define graph for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019"]], "cannot define principle(s) for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019"]], "cannot find induction information on \u2018qualid\u2019 (error)": [[72, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019"]], "cannot find inversion information for hypothesis \u2018ident\u2019 (error)": [[72, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019"]], "cannot use mutual definition with well-founded recursion or measure (error)": [[72, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure"]], "function (command)": [[72, "coq:cmd.Function"]], "functional case (command)": [[72, "coq:cmd.Functional-Case"]], "functional scheme (command)": [[72, "coq:cmd.Functional-Scheme"]], "generate graph for (command)": [[72, "coq:cmd.Generate-graph-for"]], "hypothesis \u2018ident\u2019 must contain at least one function (error)": [[72, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function"]], "no argument name \u2018ident\u2019 (error)": [[72, "coq:exn.No-argument-name-\u2018ident\u2019"]], "not the right number of induction arguments (error)": [[72, "coq:exn.Not-the-right-number-of-induction-arguments"]], "the recursive argument must be specified (error)": [[72, "coq:exn.The-recursive-argument-must-be-specified"]], "functional induction (tactic)": [[72, "coq:tacn.functional-induction"]], "functional inversion (tactic)": [[72, "coq:tacn.functional-inversion"]], "soft functional induction (tactic)": [[72, "coq:tacn.soft-functional-induction"]], "library file (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "library file \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "tactic notation \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "deprecated (attribute)": [[74, "coq:attr.deprecated"]], "warn (attribute)": [[74, "coq:attr.warn"]], "\u2018string\u2019 (warning)": [[74, "coq:warn.\u2018string\u2019"]], "coqdoc": [[75, "index-0"]]}})
\ No newline at end of file
+Search.setIndex({"docnames": ["addendum/canonical-structures", "addendum/extended-pattern-matching", "addendum/extraction", "addendum/generalized-rewriting", "addendum/implicit-coercions", "addendum/micromega", "addendum/miscellaneous-extensions", "addendum/nsatz", "addendum/parallel-proof-processing", "addendum/program", "addendum/rewrite-rules", "addendum/ring", "addendum/sprop", "addendum/type-classes", "addendum/universe-polymorphism", "appendix/history-and-changes/index", "appendix/indexes/index", "changes", "coq-attrindex", "coq-cmdindex", "coq-exnindex", "coq-optindex", "coq-tacindex", "genindex", "history", "index", "language/cic", "language/coq-library", "language/core/assumptions", "language/core/basic", "language/core/coinductive", "language/core/conversion", "language/core/definitions", "language/core/index", "language/core/inductive", "language/core/modules", "language/core/primitive", "language/core/records", "language/core/sections", "language/core/sorts", "language/core/variants", "language/extensions/arguments-command", "language/extensions/canonical", "language/extensions/evars", "language/extensions/implicit-arguments", "language/extensions/index", "language/extensions/match", "language/gallina-extensions", "language/gallina-specification-language", "language/module-system", "license", "practical-tools/coq-commands", "practical-tools/coqide", "practical-tools/utilities", "proof-engine/ltac", "proof-engine/ltac2", "proof-engine/proof-handling", "proof-engine/ssreflect-proof-language", "proof-engine/tactics", "proof-engine/vernacular-commands", "proofs/automatic-tactics/auto", "proofs/automatic-tactics/index", "proofs/automatic-tactics/logic", "proofs/creating-tactics/index", "proofs/writing-proofs/equality", "proofs/writing-proofs/index", "proofs/writing-proofs/proof-mode", "proofs/writing-proofs/reasoning-inductives", "proofs/writing-proofs/rewriting", "std-glossindex", "user-extensions/proof-schemes", "user-extensions/syntax-extensions", "using/libraries/funind", "using/libraries/index", "using/libraries/writing", "using/tools/coqdoc", "using/tools/index", "zebibliography"], "filenames": ["addendum/canonical-structures.rst", "addendum/extended-pattern-matching.rst", "addendum/extraction.rst", "addendum/generalized-rewriting.rst", "addendum/implicit-coercions.rst", "addendum/micromega.rst", "addendum/miscellaneous-extensions.rst", "addendum/nsatz.rst", "addendum/parallel-proof-processing.rst", "addendum/program.rst", "addendum/rewrite-rules.rst", "addendum/ring.rst", "addendum/sprop.rst", "addendum/type-classes.rst", "addendum/universe-polymorphism.rst", "appendix/history-and-changes/index.rst", "appendix/indexes/index.rst", "changes.rst", "coq-attrindex.rst", "coq-cmdindex.rst", "coq-exnindex.rst", "coq-optindex.rst", "coq-tacindex.rst", "genindex.rst", "history.rst", "index.rst", "language/cic.rst", "language/coq-library.rst", "language/core/assumptions.rst", "language/core/basic.rst", "language/core/coinductive.rst", "language/core/conversion.rst", "language/core/definitions.rst", "language/core/index.rst", "language/core/inductive.rst", "language/core/modules.rst", "language/core/primitive.rst", "language/core/records.rst", "language/core/sections.rst", "language/core/sorts.rst", "language/core/variants.rst", "language/extensions/arguments-command.rst", "language/extensions/canonical.rst", "language/extensions/evars.rst", "language/extensions/implicit-arguments.rst", "language/extensions/index.rst", "language/extensions/match.rst", "language/gallina-extensions.rst", "language/gallina-specification-language.rst", "language/module-system.rst", "license.rst", "practical-tools/coq-commands.rst", "practical-tools/coqide.rst", "practical-tools/utilities.rst", "proof-engine/ltac.rst", "proof-engine/ltac2.rst", "proof-engine/proof-handling.rst", "proof-engine/ssreflect-proof-language.rst", "proof-engine/tactics.rst", "proof-engine/vernacular-commands.rst", "proofs/automatic-tactics/auto.rst", "proofs/automatic-tactics/index.rst", "proofs/automatic-tactics/logic.rst", "proofs/creating-tactics/index.rst", "proofs/writing-proofs/equality.rst", "proofs/writing-proofs/index.rst", "proofs/writing-proofs/proof-mode.rst", "proofs/writing-proofs/reasoning-inductives.rst", "proofs/writing-proofs/rewriting.rst", "std-glossindex.rst", "user-extensions/proof-schemes.rst", "user-extensions/syntax-extensions.rst", "using/libraries/funind.rst", "using/libraries/index.rst", "using/libraries/writing.rst", "using/tools/coqdoc.rst", "using/tools/index.rst", "zebibliography.rst"], "titles": ["&lt;no title&gt;", "&lt;no title&gt;", "Program extraction", "Generalized rewriting", "Implicit Coercions", "Micromega: solvers for arithmetic goals over ordered rings", "Program derivation", "Nsatz: a solver for equalities in integral domains", "Asynchronous and Parallel Proof Processing", "Program", "User-defined rewrite rules", "ring and field: solvers for polynomial and rational equations", "SProp (proof irrelevant propositions)", "Typeclasses", "Polymorphic Universes", "History and recent changes", "Indexes", "Recent changes", "Attribute index", "Command index", "Errors and warnings index", "Flags, options and tables index", "Tactic index", "General index", "Early history of Coq", "Introduction and Contents", "Typing rules", "The Coq libraries", "Functions and assumptions", "Basic notions and conventions", "Coinductive types and corecursive functions", "Conversion rules", "Definitions", "Core language", "Inductive types and recursive functions", "The Module System", "Primitive objects", "Record types", "Sections", "Sorts", "Variants and the <code class=\"docutils literal notranslate\"><span class=\"pre\">match</span></code> construct", "Setting properties of a function's arguments", "Canonical Structures", "Existential variables", "Implicit arguments", "Language extensions", "Extended pattern matching", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "The Rocq Prover commands", "RocqIDE", "Building Rocq Projects", "Ltac", "Ltac2", "&lt;no title&gt;", "The <span class=\"smallcaps\">SSReflect</span> proof language", "Tactics", "Commands", "Programmable proof search", "Automatic solvers and programmable tactics", "Solvers for logic and equality", "Creating new tactics", "Reasoning with equalities", "Basic proof writing", "Proof mode", "Reasoning with inductive types", "&lt;no title&gt;", "Glossary index", "&lt;no title&gt;", "Syntax extensions and notation scopes", "Functional induction", "Libraries and plugins", "Writing Rocq libraries and plugins", "Documenting Rocq files with rocq doc", "Command-line and graphical tools", "Bibliography"], "terms": {"newcommand": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "kw": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "case": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "con": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "textsf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "consf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "emptyf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "end": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "kwend": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "even": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "eveno": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "o": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "fix": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "forest": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "functor": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "In": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ind": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "3": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77], "1": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "left": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "2": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathrm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "right": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "4": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "indpstr": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "5": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "inject": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "length": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "letin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "let": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "list": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "lra": [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "longrightarrow": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "match": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mod": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "zeroon": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modimp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "moda": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "modtyp": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mto": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nat": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nil": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nilhl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "_hl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "nO": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "node": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "n": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "odd": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ovl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "overlin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "pair": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "plu": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathsf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "sprop": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "prop": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "return": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "set": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 59, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "sort": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mathcal": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "str": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "stream": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "struct": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "subst": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "tl": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "tree": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "trii": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "triangleright_": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "iota": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "type": [0, 1, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 33, 36, 39, 41, 42, 43, 45, 47, 48, 49, 50, 51, 52, 53, 56, 58, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 76, 77], "wev": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "mbox": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "vdash": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wevt": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wf": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "w": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "f": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wfe": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "e": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wft": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wftwolin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "begin": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "arrai": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "l": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wse": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wt": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wte": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wteg": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "gamma": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "wtm": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "c": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "i": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "cic": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "\u03b2\u03b4\u03b9\u03b6": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "latex": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77], "tac": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "p": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "program": [0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "ssreflect": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "t": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "m": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "x": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77], "author": [2, 3, 4, 5, 7, 8, 9, 11, 14, 17, 27, 29, 42, 46, 57, 73, 74], "jean": [2, 17, 24, 77], "christoph": [2, 17, 24, 77], "filli\u00e2tr": [2, 17, 24, 77], "pierr": [2, 17, 24, 77], "letouzei": [2, 17, 24, 77], "we": [2, 3, 4, 5, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 38, 39, 40, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "present": [2, 3, 6, 9, 11, 13, 15, 17, 24, 25, 26, 29, 30, 32, 33, 34, 37, 41, 42, 44, 45, 46, 50, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 71, 73, 74, 75, 76], "here": [2, 3, 4, 5, 9, 11, 13, 14, 16, 17, 24, 29, 31, 33, 34, 35, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "command": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 53, 54, 55, 58, 60, 62, 63, 64, 72, 73, 74], "us": [2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 39, 40, 41, 42, 45, 55, 57, 59, 60, 61, 62, 63, 65, 72, 73, 74, 75, 77], "build": [2, 5, 9, 11, 14, 17, 24, 25, 26, 27, 32, 33, 34, 37, 42, 46, 51, 54, 55, 57, 59, 60, 63, 65, 66, 67, 72, 75, 76, 77], "certifi": [2, 9, 17, 24, 77], "rel": [2, 14, 17, 26, 35, 51, 53, 55, 59, 71], "effici": [2, 11, 12, 13, 17, 25, 29, 36, 57, 60, 64, 77], "function": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 31, 33, 35, 36, 37, 39, 42, 45, 46, 51, 52, 55, 57, 58, 59, 62, 64, 67, 71, 73, 77], "them": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "from": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75, 77], "either": [2, 5, 8, 11, 14, 17, 26, 28, 29, 31, 34, 35, 36, 37, 39, 40, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "proof": [2, 3, 6, 7, 9, 11, 13, 17, 24, 26, 29, 30, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 51, 52, 53, 55, 59, 61, 62, 64, 67, 72, 73, 74, 75, 76, 77], "specif": [2, 3, 5, 9, 11, 24, 28, 31, 32, 34, 35, 36, 39, 40, 42, 51, 52, 53, 55, 57, 58, 59, 60, 61, 64, 66, 67, 71, 77], "The": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 72, 73, 74, 76, 77], "avail": [2, 9, 11, 12, 13, 17, 24, 25, 27, 30, 35, 36, 37, 38, 40, 42, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 71, 72, 74, 75, 76, 77], "output": [2, 3, 4, 11, 14, 17, 24, 33, 42, 51, 52, 53, 54, 59, 60, 64, 66, 71, 75], "ar": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 67, 71, 72, 73, 74, 75], "current": [2, 3, 4, 5, 8, 9, 10, 12, 14, 17, 24, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "ocaml": [2, 11, 17, 24, 25, 29, 32, 36, 51, 53, 54, 55, 63, 64, 66, 71, 73, 75], "haskel": [2, 13, 17, 24, 25, 57, 64, 77], "scheme": [2, 11, 17, 24, 25, 26, 27, 34, 37, 40, 46, 51, 57, 59, 62, 77], "follow": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "abus": [2, 55], "refer": [2, 3, 4, 5, 8, 10, 13, 14, 16, 24, 25, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 44, 46, 50, 51, 52, 53, 55, 57, 58, 60, 62, 64, 66, 67, 71, 72, 74, 75], "ani": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "three": [2, 4, 9, 11, 17, 24, 25, 34, 40, 52, 53, 54, 57, 59, 60, 67, 71], "chang": [2, 4, 5, 8, 9, 11, 13, 14, 25, 26, 28, 29, 31, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75], "version": [2, 3, 4, 7, 9, 13, 14, 15, 25, 29, 32, 35, 36, 37, 41, 46, 50, 51, 52, 57, 58, 59, 60, 62, 66, 73, 74, 75, 77], "8": [2, 3, 4, 13, 24, 25, 30, 35, 41, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 71, 75], "11": [2, 24, 25, 34, 53, 57, 60], "befor": [2, 4, 5, 13, 14, 17, 28, 29, 32, 34, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 74, 75], "describ": [2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 24, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71, 72, 75], "thi": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76], "chapter": [2, 3, 5, 7, 8, 9, 11, 13, 15, 17, 24, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 45, 52, 54, 55, 57, 58, 59, 61, 63, 65, 71, 72, 73, 75, 76], "framework": [2, 17, 24], "should": [2, 3, 9, 10, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 32, 34, 35, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "first": [2, 4, 5, 6, 8, 9, 11, 13, 14, 15, 17, 24, 25, 26, 27, 35, 37, 38, 40, 41, 42, 43, 44, 51, 52, 53, 55, 58, 59, 60, 62, 64, 65, 66, 67, 71, 72, 74, 75, 77], "load": [2, 3, 5, 6, 7, 11, 17, 24, 25, 27, 29, 34, 35, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "explicitli": [2, 4, 12, 13, 14, 17, 24, 27, 28, 29, 34, 38, 39, 43, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "via": [2, 5, 8, 11, 17, 35, 51, 53, 54, 55, 57, 59, 71, 72], "corelib": [2, 6, 9, 17, 35, 36, 51, 54, 57, 59, 64, 66], "requir": [2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 24, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "file": [2, 3, 5, 6, 7, 8, 9, 11, 17, 24, 25, 27, 29, 34, 35, 41, 54, 55, 57, 60, 64, 71, 72, 73, 76], "runtim": [2, 3, 5, 6, 11, 17, 29, 34, 51, 53, 54, 55, 57, 59, 60, 72, 73], "plugin": [2, 3, 5, 6, 11, 12, 17, 24, 25, 29, 33, 34, 35, 53, 54, 55, 57, 59, 60, 63, 66, 71, 72], "done": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 29, 30, 32, 34, 35, 38, 40, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 72, 75], "qualifi": [2, 17, 24, 25, 28, 32, 38, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71], "identifi": [2, 3, 9, 14, 17, 24, 25, 28, 29, 30, 31, 35, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 72, 75], "qualid": [2, 3, 4, 5, 10, 11, 13, 14, 17, 29, 35, 37, 39, 40, 41, 42, 46, 51, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 74], "can": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "kind": [2, 8, 10, 11, 17, 25, 27, 29, 34, 42, 46, 53, 55, 57, 59, 67, 72], "global": [2, 3, 4, 5, 8, 9, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 75], "object": [2, 3, 4, 8, 9, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 35, 37, 38, 39, 40, 41, 42, 44, 51, 53, 55, 57, 59, 64, 67, 71, 72], "constant": [2, 4, 5, 6, 9, 10, 11, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 38, 41, 42, 44, 46, 51, 54, 55, 57, 58, 60, 64, 66, 67, 74], "constructor": [2, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 71, 74], "modul": [2, 3, 5, 6, 7, 9, 10, 11, 13, 17, 24, 25, 27, 28, 29, 32, 33, 36, 37, 38, 40, 41, 42, 44, 51, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "name": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 67, 71, 72, 74, 75], "recurs": [2, 5, 9, 17, 24, 25, 31, 32, 33, 37, 40, 41, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 75, 77], "string": [2, 11, 13, 14, 17, 25, 29, 40, 51, 53, 54, 55, 57, 59, 64, 66, 74, 75], "two": [2, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75], "form": [2, 3, 4, 5, 6, 7, 9, 11, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "displai": [2, 9, 12, 14, 16, 17, 25, 35, 37, 41, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66], "term": [2, 3, 4, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 53, 57, 58, 59, 60, 62, 63, 66, 67, 72, 75], "conveni": [2, 4, 6, 12, 17, 24, 28, 29, 33, 34, 35, 44, 46, 52, 53, 54, 57, 66, 67, 71], "preview": [2, 52], "result": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 27, 31, 32, 34, 39, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "second": [2, 3, 4, 8, 9, 10, 11, 13, 15, 17, 24, 25, 26, 28, 35, 37, 38, 40, 42, 44, 51, 52, 53, 55, 57, 59, 60, 64, 66, 67, 71, 75], "all": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73], "depend": [2, 3, 7, 8, 9, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 51, 52, 54, 55, 57, 60, 62, 64, 66, 71, 72, 77], "third": [2, 3, 17, 25, 40, 41, 44, 51, 52, 53, 54, 57, 58, 75], "produc": [2, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 29, 32, 34, 36, 38, 40, 41, 44, 52, 53, 54, 55, 57, 64, 66, 71, 72, 73, 74, 75], "singl": [2, 3, 4, 13, 14, 17, 24, 25, 28, 29, 30, 34, 35, 37, 40, 44, 46, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 75], "specifi": [2, 3, 4, 5, 6, 8, 9, 11, 13, 17, 24, 25, 28, 29, 32, 34, 35, 36, 37, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "local": [2, 3, 4, 5, 9, 13, 17, 24, 25, 26, 28, 30, 31, 32, 34, 41, 42, 52, 55, 59, 62, 64, 66, 67, 75], "renam": [2, 17, 24, 25, 34, 37, 55, 57, 58, 59, 71, 74], "need": [2, 3, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 28, 29, 31, 32, 34, 35, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 76], "fulfil": [2, 17, 67], "syntact": [2, 3, 11, 17, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 37, 39, 41, 57, 58, 59, 64, 66, 71, 74], "keep": [2, 3, 12, 14, 17, 24, 33, 34, 36, 42, 46, 52, 53, 55, 57, 64, 67], "origin": [2, 3, 4, 9, 11, 17, 24, 29, 31, 34, 38, 43, 44, 46, 53, 57, 58, 62, 64, 66, 67, 71], "much": [2, 11, 13, 17, 25, 33, 51, 53, 57, 59, 63, 64, 71], "possibl": [2, 3, 4, 5, 8, 9, 11, 13, 14, 17, 24, 27, 28, 31, 34, 35, 37, 41, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "also": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "work": [2, 3, 4, 5, 9, 10, 12, 13, 17, 24, 25, 26, 27, 32, 35, 41, 42, 43, 46, 51, 52, 54, 55, 57, 58, 59, 64, 67, 71, 74, 77], "directori": [2, 14, 17, 24, 27, 35, 51, 52, 53, 59, 60, 71, 75], "It": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "inspect": [2, 17, 57, 59], "what": [2, 3, 5, 10, 13, 16, 17, 24, 25, 27, 29, 33, 34, 35, 41, 42, 46, 51, 53, 54, 55, 57, 59, 60, 64, 66, 67, 71], "pwd": [2, 14, 59], "cd": [2, 17, 53], "librari": [2, 5, 7, 8, 11, 25, 29, 35, 40, 41, 52, 54, 55, 57, 58, 64, 66, 67, 72, 75], "ident": [2, 3, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 43, 44, 46, 51, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74], "whole": [2, 3, 9, 11, 17, 29, 40, 46, 51, 52, 53, 55, 57, 59, 71, 75], "v": [2, 3, 7, 8, 11, 12, 13, 14, 17, 24, 25, 26, 27, 34, 35, 37, 42, 44, 46, 51, 52, 53, 54, 58, 59, 67, 71, 75], "an": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 58, 60, 62, 63, 64, 66, 71, 72, 74, 75, 77], "clash": [2, 17, 53, 54, 57], "prefix": [2, 3, 9, 11, 14, 17, 24, 27, 28, 34, 35, 38, 40, 41, 42, 44, 51, 52, 54, 57, 58, 59, 64, 66, 67, 71, 75], "coq_": 2, "ensur": [2, 10, 13, 14, 17, 24, 30, 34, 39, 52, 55, 59, 64, 71, 72], "session": [2, 14, 17, 51, 52, 59], "independ": [2, 13, 14, 17, 24, 34, 51, 52, 53, 54, 55, 57, 67], "other": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 67, 71, 72, 76], "separ": [2, 3, 10, 14, 17, 24, 25, 26, 29, 33, 34, 35, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 67, 71, 74], "mention": [2, 3, 14, 17, 24, 26, 34, 39, 44, 46, 51, 54, 57, 58, 60, 64, 66, 71], "just": [2, 3, 4, 8, 9, 11, 13, 17, 24, 28, 31, 34, 35, 37, 41, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "instead": [2, 3, 4, 7, 8, 11, 12, 13, 14, 17, 24, 26, 28, 33, 34, 35, 36, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "one": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 74, 75, 77], "monolith": [2, 17], "split": [2, 17, 25, 29, 34, 42, 51, 54, 57, 58, 60, 66, 67, 75], "per": [2, 3, 11, 17, 24, 52, 53, 57, 59, 71], "correspond": [2, 3, 8, 9, 11, 13, 14, 15, 17, 24, 26, 28, 33, 34, 35, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "henc": [2, 3, 4, 5, 8, 9, 13, 14, 17, 26, 34, 37, 42, 51, 53, 54, 57, 58, 64, 67, 71], "quit": [2, 3, 11, 13, 17, 25, 34, 42, 54, 55, 57, 60], "similar": [2, 3, 5, 9, 13, 17, 24, 26, 34, 35, 37, 38, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72, 74, 75], "except": [2, 3, 4, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 31, 34, 35, 36, 38, 40, 43, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 75], "onli": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "part": [2, 3, 10, 11, 13, 15, 17, 24, 25, 27, 29, 34, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 66, 67, 71, 72, 73, 74], "convent": [2, 17, 25, 33, 42, 51, 57, 59, 71], "same": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "meant": [2, 3, 14, 17, 55, 59, 64], "help": [2, 3, 8, 13, 14, 15, 16, 17, 24, 25, 27, 29, 41, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 67, 75], "automat": [2, 3, 5, 7, 9, 10, 13, 14, 17, 24, 25, 27, 28, 35, 37, 40, 42, 46, 52, 53, 54, 55, 57, 58, 60, 64, 65, 66, 71, 72, 75, 77], "test": [2, 3, 4, 9, 10, 11, 13, 17, 24, 25, 29, 30, 34, 42, 46, 55, 57, 59, 66], "see": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "instanc": [2, 4, 5, 10, 11, 12, 14, 17, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75], "suit": [2, 17, 53, 57, 58, 63], "sourc": [2, 4, 5, 14, 24, 25, 51, 52, 53, 55, 57, 71, 73], "testcompil": [2, 17], "temporari": [2, 14, 17, 24, 57], "Then": [2, 4, 5, 11, 14, 24, 26, 27, 29, 32, 34, 41, 42, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 74, 75], "its": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75, 77], "signatur": [2, 3, 11, 17, 24, 34, 35, 54, 55, 59], "compil": [2, 3, 8, 9, 10, 11, 12, 24, 25, 26, 27, 29, 32, 35, 36, 38, 46, 54, 55, 57, 64, 66, 73, 74, 75, 77], "built": [2, 4, 11, 17, 24, 25, 26, 31, 32, 34, 37, 41, 42, 52, 53, 54, 58, 60, 61, 62, 67, 71, 72], "succe": [2, 3, 13, 17, 25, 44, 46, 51, 55, 57, 58, 59, 60, 62, 64, 66], "fail": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "show": [2, 3, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 27, 34, 35, 37, 38, 42, 51, 52, 53, 54, 57, 58, 59, 60, 64, 67, 71], "where": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 27, 29, 30, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "deprec": [2, 4, 13, 17, 25, 28, 29, 32, 35, 41, 51, 55, 58, 59, 60, 64, 66, 71, 72], "sinc": [2, 3, 4, 5, 8, 10, 11, 12, 13, 14, 17, 24, 26, 28, 30, 34, 35, 37, 41, 42, 44, 46, 51, 52, 53, 54, 57, 58, 59, 60, 66, 67, 71, 74, 75], "20": [2, 3, 25, 46, 57, 67, 77], "line": [2, 8, 10, 12, 14, 24, 25, 26, 29, 42, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71], "If": [2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17, 26, 28, 29, 30, 32, 34, 35, 37, 38, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "accord": [2, 11, 17, 26, 34, 35, 41, 51, 53, 55, 57, 59, 60, 64, 71], "which": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 75], "valid": [2, 3, 4, 5, 8, 10, 11, 14, 17, 25, 26, 29, 32, 34, 35, 40, 42, 51, 54, 55, 57, 58, 59, 66, 71, 72], "path": [2, 4, 5, 17, 24, 25, 35, 51, 52, 54, 60], "otherwis": [2, 3, 9, 13, 14, 17, 28, 29, 34, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73], "doe": [2, 3, 4, 5, 8, 9, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 38, 39, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "json": [2, 17, 51, 53, 59], "abil": [2, 3, 11, 12, 13, 17, 30, 52], "most": [2, 3, 4, 10, 12, 17, 24, 27, 29, 34, 38, 41, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 63, 64, 66, 67, 71, 72, 73], "import": [2, 3, 4, 5, 7, 9, 11, 13, 17, 24, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 40, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "default": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "mostli": [2, 3, 17, 24, 52, 57, 60], "develop": [2, 3, 12, 13, 14, 17, 24, 25, 27, 32, 35, 42, 44, 51, 52, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 74, 77], "debug": [2, 5, 9, 13, 14, 17, 24, 25, 28, 52, 53, 57, 58, 60, 62, 64, 66, 72], "contain": [2, 5, 7, 8, 10, 13, 14, 15, 17, 24, 27, 29, 30, 31, 34, 35, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "raw": [2, 14, 17, 54, 55, 71], "intermediari": [2, 64], "strict": [2, 5, 13, 14, 17, 24, 25, 31, 39, 41, 42, 54, 57, 58, 59, 60, 66, 71], "ha": [2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74], "order": [2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 29, 30, 32, 34, 35, 37, 40, 42, 43, 46, 51, 52, 53, 54, 55, 57, 60, 61, 62, 64, 66, 67, 71, 72, 75, 77], "when": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 51, 52, 53, 54, 55, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "principl": [2, 5, 17, 24, 25, 27, 30, 34, 37, 51, 57, 58, 63, 64, 71, 77], "do": [2, 3, 4, 7, 8, 10, 13, 14, 17, 24, 25, 29, 31, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "want": [2, 11, 13, 17, 34, 35, 36, 41, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74], "comput": [2, 3, 7, 8, 9, 11, 17, 24, 25, 29, 30, 32, 34, 35, 36, 37, 41, 42, 46, 52, 55, 57, 59, 67, 71, 72, 77], "call": [2, 3, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 39, 40, 42, 44, 45, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72], "ones": [2, 3, 4, 6, 8, 13, 14, 17, 25, 28, 34, 35, 37, 44, 46, 52, 53, 54, 57, 58, 59, 63, 66, 67, 71, 75], "so": [2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 26, 29, 31, 32, 34, 35, 36, 37, 38, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 74, 75], "mechan": [2, 3, 4, 9, 10, 13, 17, 24, 25, 29, 34, 38, 41, 46, 51, 52, 53, 55, 59, 64, 65, 66, 71, 72, 77], "provid": [2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75], "routin": 2, "each": [2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 26, 29, 30, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "time": [2, 3, 5, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 36, 37, 41, 42, 44, 46, 52, 55, 57, 58, 59, 64, 66, 67, 71], "group": [2, 4, 17, 24, 37, 42, 52, 53, 54, 57, 58, 60], "preserv": [2, 5, 14, 17, 24, 25, 29, 30, 34, 42, 55, 57, 64, 67, 71], "essenti": [2, 17, 25, 34, 55, 57, 67, 71], "reduct": [2, 3, 9, 10, 11, 12, 17, 25, 26, 30, 32, 36, 41, 44, 46, 51, 53, 57, 58, 67, 77], "non": [2, 3, 4, 6, 8, 9, 10, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 35, 37, 40, 41, 46, 51, 52, 53, 57, 59, 60, 62, 64, 66, 72, 75], "abstract": [2, 4, 5, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 34, 35, 38, 42, 44, 54, 55, 58, 59, 64, 67, 71], "dummi": [2, 14, 17, 24, 55, 77], "remov": [2, 3, 4, 5, 11, 14, 17, 24, 29, 31, 37, 41, 46, 51, 52, 53, 55, 57, 58, 59, 60, 66, 67, 71, 72, 74, 75], "deem": [2, 51], "safe": [2, 11, 17, 34], "have": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "more": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 74, 75], "eleg": [2, 55, 59], "therefor": [2, 17, 29, 31, 37, 52, 53, 57, 58, 62, 72, 73], "mai": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75, 77], "appear": [2, 6, 9, 10, 11, 13, 14, 17, 24, 28, 29, 31, 34, 35, 37, 38, 39, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74, 75], "modular": [2, 17, 24], "nevertheless": [2, 17], "print": [2, 5, 6, 8, 11, 12, 13, 17, 24, 25, 27, 29, 31, 34, 35, 36, 38, 39, 41, 42, 51, 52, 53, 57, 58, 60, 62, 64, 66, 67, 74], "concern": [2, 12, 17, 24, 26], "less": [2, 4, 8, 11, 14, 17, 24, 34, 46, 51, 53, 54, 55, 57, 59, 60, 64, 71, 77], "becaus": [2, 3, 4, 8, 11, 12, 14, 17, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 41, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "lazi": [2, 8, 9, 12, 17, 24, 55, 64], "still": [2, 3, 7, 9, 10, 13, 17, 24, 29, 32, 34, 36, 37, 38, 42, 44, 46, 51, 53, 54, 57, 58, 59, 60, 64, 66, 67, 74], "make": [2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "readabl": [2, 17, 24, 29, 53, 57, 64, 71, 75], "control": [2, 3, 13, 14, 16, 17, 24, 25, 34, 37, 41, 51, 52, 53, 55, 60, 62, 67, 71, 75], "flag": [2, 4, 5, 8, 9, 10, 12, 13, 14, 16, 24, 25, 26, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71], "made": [2, 3, 14, 17, 24, 29, 34, 35, 38, 41, 46, 51, 53, 54, 55, 57, 58, 64, 66, 71, 72, 75], "beta": [2, 11, 17, 24, 55, 57, 58, 64, 71, 77], "redex": [2, 17, 25, 31, 34, 64, 71], "simplif": [2, 11, 17, 24, 25, 41, 54, 67], "etc": [2, 4, 9, 14, 17, 24, 25, 26, 27, 33, 35, 42, 44, 45, 51, 52, 53, 54, 55, 57, 59, 71, 75], "turn": [2, 8, 10, 12, 13, 14, 17, 24, 27, 29, 32, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "off": [2, 8, 10, 12, 13, 14, 17, 24, 29, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71], "you": [2, 3, 4, 7, 8, 10, 11, 13, 14, 15, 16, 17, 24, 25, 27, 29, 32, 34, 35, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 74, 75], "close": [2, 3, 4, 5, 7, 9, 11, 14, 17, 24, 28, 29, 32, 34, 35, 38, 44, 51, 52, 55, 57, 59, 60, 64, 66, 67, 71, 75], "conserv": [2, 17], "try": [2, 3, 11, 14, 17, 24, 25, 34, 35, 40, 41, 43, 46, 53, 55, 57, 60, 62, 64, 66, 67, 71], "sure": [2, 4, 17, 35, 52, 53, 58, 71], "impli": [2, 3, 10, 14, 17, 24, 30, 34, 57, 67, 71], "respect": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 34, 38, 40, 42, 44, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74, 75], "keepsingleton": [2, 17], "normal": [2, 3, 4, 5, 11, 17, 24, 26, 29, 30, 31, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 64, 66, 67, 71, 72, 77], "singleton": [2, 13, 17, 24, 34, 54, 58], "structur": [2, 3, 4, 8, 9, 13, 17, 24, 25, 32, 34, 35, 36, 37, 38, 40, 44, 45, 53, 54, 58, 59, 66, 67, 71, 72, 77], "seen": [2, 4, 13, 14, 17, 24, 32, 34, 55, 57, 67, 71], "alia": [2, 17, 24, 29, 35, 46, 55, 58], "inner": [2, 14, 17, 35, 42, 43, 54, 55, 57, 59, 62, 64, 66, 67, 71, 75], "typic": [2, 4, 6, 12, 14, 17, 24, 28, 29, 30, 34, 35, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 67, 71], "sig": [2, 17, 27, 28, 35, 67, 71], "allow": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72], "disabl": [2, 8, 9, 12, 13, 14, 17, 25, 28, 32, 34, 35, 37, 44, 51, 52, 54, 57, 59, 64, 66], "wish": [2, 5, 17, 53], "autoinlin": [2, 17], "enabl": [2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 17, 25, 29, 34, 37, 42, 51, 52, 53, 54, 57, 58, 59, 60, 67, 75], "bodi": [2, 4, 6, 13, 14, 17, 24, 32, 35, 37, 38, 41, 42, 44, 51, 55, 57, 58, 59, 64, 72, 75], "defin": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 62, 64, 66, 67, 71, 72, 74, 77], "heurist": [2, 5, 14, 17, 55, 57, 58, 66], "like": [2, 4, 8, 9, 10, 11, 13, 14, 17, 24, 26, 27, 29, 32, 34, 35, 38, 39, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "size": [2, 3, 9, 13, 17, 24, 34, 37, 51, 52, 55, 57, 59, 64, 71, 72], "recursor": [2, 17], "_rect": [2, 17, 34, 35, 40, 71, 72], "_rec": [2, 34, 35, 40, 71, 72], "nat_rect": [2, 27, 34, 59], "project": [2, 3, 9, 10, 12, 13, 14, 15, 17, 24, 25, 27, 29, 30, 34, 40, 41, 42, 51, 52, 54, 55, 57, 59, 60, 64, 72, 73, 74, 76], "few": [2, 3, 17, 24, 27, 29, 34, 35, 36, 37, 51, 52, 53, 55, 57, 58, 71, 73, 75], "andb": [2, 13, 17, 27, 62], "orb": [2, 27, 57, 62], "behaviour": [2, 17, 38, 53], "well": [2, 3, 4, 8, 9, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 31, 32, 33, 35, 37, 39, 43, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 67, 71, 72, 74, 75], "found": [2, 4, 5, 9, 11, 13, 17, 25, 29, 30, 34, 35, 36, 38, 39, 42, 46, 51, 54, 55, 57, 58, 59, 62, 64, 67, 71, 72, 75], "combin": [2, 3, 5, 9, 12, 14, 17, 24, 25, 26, 27, 29, 34, 37, 40, 42, 46, 52, 53, 54, 55, 57, 59, 63, 64, 75], "featur": [2, 3, 8, 11, 17, 24, 25, 29, 32, 33, 35, 36, 44, 46, 51, 52, 53, 54, 55, 57, 59, 66, 71, 72, 73, 74, 76], "alwai": [2, 3, 4, 6, 9, 10, 11, 12, 13, 14, 17, 24, 26, 34, 35, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 60, 66, 67, 71, 74, 75], "dure": [2, 9, 11, 13, 14, 17, 24, 25, 37, 42, 46, 51, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "noinlin": 2, "convers": [2, 3, 7, 8, 9, 11, 12, 13, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 54, 55, 57, 58, 60, 66, 71, 75], "never": [2, 13, 14, 17, 24, 35, 41, 42, 44, 51, 54, 55, 57, 58, 60, 64], "state": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 27, 29, 31, 32, 37, 51, 52, 54, 55, 57, 58, 59, 62, 64, 67, 71], "tabl": [2, 3, 4, 16, 17, 24, 25, 27, 35, 37, 38, 46, 51, 53, 54, 55, 57, 59, 67, 71, 75], "record": [2, 3, 8, 10, 11, 12, 13, 14, 17, 24, 25, 30, 33, 34, 42, 54, 55, 57, 59, 60, 62, 67, 71], "custom": [2, 3, 11, 13, 17, 24, 25, 29, 36, 53, 54, 57], "declar": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 43, 46, 51, 53, 54, 58, 59, 60, 64, 71, 72, 75], "previou": [2, 3, 4, 8, 9, 11, 13, 15, 17, 24, 27, 29, 31, 34, 37, 40, 41, 42, 45, 46, 51, 52, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 74], "reset": [2, 17, 24, 29, 30, 34, 40, 41, 46, 51, 52, 54, 59, 72], "empti": [2, 3, 5, 7, 12, 13, 17, 24, 26, 34, 40, 43, 51, 53, 55, 57, 58, 59, 60, 67, 71, 72], "ask": [2, 3, 17, 25, 42, 43, 53], "mean": [2, 3, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 59, 64, 65, 66, 71], "both": [2, 3, 4, 11, 14, 17, 24, 25, 26, 27, 28, 29, 31, 34, 37, 38, 40, 42, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 61, 64, 66, 67, 73, 74], "But": [2, 11, 17, 34, 39, 41, 46, 51, 53, 54, 64, 75], "For": [2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16, 17, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "reason": [2, 3, 5, 9, 10, 11, 17, 24, 25, 34, 44, 51, 53, 54, 55, 57, 59, 62, 65, 71, 72, 75, 77], "decis": [2, 17, 24, 25, 58, 62, 64, 77], "taken": [2, 9, 13, 17, 24, 34, 36, 42, 44, 53, 57, 64, 67, 71], "whether": [2, 3, 9, 10, 12, 13, 14, 17, 29, 34, 35, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 71, 75], "occurr": [2, 3, 11, 14, 17, 24, 25, 26, 43, 44, 46, 52, 54, 55, 59, 60, 64, 71], "replac": [2, 3, 4, 7, 9, 10, 11, 17, 24, 25, 28, 31, 32, 34, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 74, 75], "manual": [2, 11, 24, 25, 29, 50, 52, 53, 57, 60, 66, 67, 71], "perform": [2, 3, 5, 7, 8, 11, 13, 17, 24, 25, 26, 34, 41, 42, 46, 51, 54, 55, 57, 60, 62, 64, 66, 67, 71, 72], "wai": [2, 3, 5, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 72, 73, 75], "complementari": [2, 17, 24, 42, 57], "main": [2, 8, 9, 11, 13, 17, 25, 27, 29, 34, 40, 41, 51, 52, 53, 54, 55, 57, 60, 64, 71], "logic": [2, 3, 9, 12, 13, 14, 17, 24, 25, 26, 28, 29, 30, 34, 35, 39, 51, 57, 58, 59, 61, 66, 67, 75, 77], "implicit": [2, 3, 5, 9, 13, 17, 24, 25, 28, 33, 34, 37, 38, 42, 43, 45, 51, 53, 55, 57, 58, 59, 66, 67, 75], "integ": [2, 3, 7, 11, 14, 17, 24, 25, 29, 34, 39, 52, 53, 54, 55, 57, 59, 60, 64, 66], "thei": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 73, 74, 75], "omit": [2, 3, 8, 14, 17, 27, 28, 29, 30, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 75], "position": [2, 58], "start": [2, 3, 6, 8, 9, 13, 17, 24, 25, 26, 27, 29, 32, 34, 35, 37, 40, 41, 42, 44, 46, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 74, 75], "actual": [2, 3, 5, 8, 11, 14, 17, 24, 34, 37, 42, 43, 44, 46, 54, 55, 57, 60, 64, 67, 71, 72], "take": [2, 3, 5, 8, 11, 12, 13, 17, 24, 26, 28, 29, 31, 32, 37, 40, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 60, 62, 64, 66, 67, 71, 75], "place": [2, 3, 17, 32, 40, 43, 51, 53, 57, 58, 59, 64, 66, 67, 71, 75], "error": [2, 3, 4, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 38, 39, 40, 41, 42, 44, 46, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "rais": [2, 3, 10, 13, 17, 29, 35, 54, 55, 64, 72], "cannot": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 26, 28, 29, 32, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "honor": [2, 8, 17, 51, 57, 71], "occur": [2, 3, 4, 8, 17, 24, 26, 28, 30, 34, 37, 38, 41, 42, 44, 46, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "final": [2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 29, 35, 40, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 75], "behavior": [2, 3, 4, 11, 13, 14, 17, 24, 29, 30, 32, 34, 41, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 73, 75], "relax": [2, 17, 30, 44, 53, 57, 60], "safeimplicit": 2, "warn": [2, 3, 4, 10, 12, 13, 16, 17, 24, 25, 27, 28, 29, 32, 34, 35, 37, 41, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 62, 66, 71, 72], "emit": [2, 10, 12, 13, 17, 34, 53, 71, 74], "obtain": [2, 3, 4, 5, 17, 34, 36, 54, 55, 57, 58, 64, 67, 72, 75], "nonetheless": [2, 17, 30, 32, 36, 51, 66], "review": [2, 17, 27], "locat": [2, 17, 24, 25, 35, 51, 52, 53, 54, 55], "issu": [2, 3, 24, 25, 46, 52, 54, 55, 58, 64, 66, 71, 73], "comment": [2, 5, 17, 24, 25, 29, 52, 54, 57, 60, 66, 75], "mark": [2, 12, 17, 24, 31, 35, 37, 38, 41, 44, 51, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71], "remain": [2, 3, 9, 11, 13, 14, 17, 24, 34, 36, 39, 41, 42, 44, 46, 52, 57, 58, 64, 66], "note": [2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 77], "might": [2, 3, 5, 13, 17, 46, 51, 53, 55, 57, 62, 64, 67, 71, 72, 75], "run": [2, 5, 8, 9, 13, 14, 17, 24, 25, 29, 51, 53, 57, 59, 60, 64, 66, 71, 73], "properli": [2, 8, 9, 10, 17, 29, 52, 53, 57, 59, 66], "encount": [2, 11, 17, 52, 53, 54, 64], "inform": [2, 3, 4, 10, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 37, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 72, 75, 77], "remind": [2, 3, 57], "inconsist": [2, 8, 10, 12, 14, 17, 24, 26, 34, 39, 44, 51, 59, 66, 67, 71], "lead": [2, 10, 14, 17, 24, 26, 29, 34, 39, 57, 58, 60, 64, 71, 74, 75], "incorrect": [2, 8, 12, 14, 17, 25, 34, 37, 46, 52, 57, 66], "termin": [2, 8, 9, 17, 24, 25, 27, 29, 30, 32, 34, 35, 38, 52, 55, 59, 60, 66, 71, 72], "assum": [2, 3, 5, 11, 13, 17, 26, 27, 28, 32, 34, 35, 36, 38, 39, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 64, 66, 71, 75], "while": [2, 3, 4, 9, 10, 12, 13, 14, 17, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 73], "proposit": [2, 3, 5, 10, 17, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 39, 40, 51, 57, 58, 62, 64, 66, 67, 77], "perfectli": 2, "content": [2, 17, 24, 27, 32, 35, 42, 51, 52, 53, 54, 57, 59, 66, 71, 75], "must": [2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 35, 36, 37, 39, 40, 41, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "cours": [2, 14, 17, 24, 42, 51, 52, 57, 64, 71], "guess": [2, 4, 11, 17, 32, 43, 53, 57, 67], "tell": [2, 3, 11, 17, 24, 34, 41, 42, 44, 46, 51, 55, 57, 60, 64, 67, 71, 75], "given": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 35, 36, 37, 40, 41, 42, 43, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "tv": 2, "give": [2, 3, 4, 5, 7, 8, 9, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 40, 41, 42, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 75], "ariti": [2, 17, 24, 25, 46, 55], "sequenc": [2, 3, 5, 17, 24, 25, 28, 29, 30, 46, 51, 57, 58, 59, 60, 64, 66, 71, 75], "product": [2, 3, 5, 10, 11, 13, 14, 17, 24, 26, 27, 28, 34, 36, 39, 40, 46, 54, 55, 57, 59, 60, 64, 66, 67, 71], "variabl": [2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 45, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 75], "quot": [2, 5, 13, 17, 24, 25, 28, 29, 44, 51, 55, 59, 66, 71, 75], "number": [2, 3, 4, 5, 7, 11, 13, 14, 17, 24, 25, 26, 27, 29, 30, 34, 36, 37, 39, 40, 41, 42, 43, 44, 46, 52, 53, 55, 57, 58, 59, 62, 64, 66, 67, 72, 74, 77], "check": [2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "y": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 27, 28, 31, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 77], "b": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 28, 31, 34, 35, 37, 38, 40, 41, 42, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 77], "recogn": [2, 4, 5, 8, 11, 17, 24, 29, 34, 46, 51, 52, 55, 62, 67, 71, 75], "becom": [2, 8, 11, 17, 24, 26, 28, 34, 35, 40, 44, 46, 52, 53, 55, 57, 58, 59, 64, 66, 67, 71], "int": [2, 3, 17, 36, 55, 71, 75], "0": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 41, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75, 77], "respons": [2, 10, 17, 52, 55, 75], "expect": [2, 3, 4, 11, 12, 14, 17, 24, 26, 29, 31, 32, 33, 34, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 60, 64, 67, 71], "fact": [2, 5, 11, 14, 17, 24, 28, 32, 34, 39, 41, 42, 46, 54, 55, 57, 58, 62, 64, 66, 67, 71, 75], "copi": [2, 17, 36, 46, 52, 53, 54, 57, 75], "everywher": [2, 17, 55, 58, 64], "being": [2, 3, 9, 11, 12, 13, 14, 17, 24, 32, 33, 34, 35, 37, 38, 40, 42, 46, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 72, 75], "sugar": [2, 7, 17, 28, 54, 55, 59, 77], "effect": [2, 3, 9, 11, 13, 14, 17, 24, 25, 29, 30, 34, 35, 38, 43, 51, 52, 53, 54, 57, 59, 64, 66, 71, 75], "alreadi": [2, 4, 13, 17, 24, 27, 28, 32, 37, 41, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 73], "foreign": [2, 17], "wa": [2, 3, 10, 11, 12, 17, 24, 27, 28, 29, 32, 34, 35, 37, 38, 41, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72], "previous": [2, 13, 17, 28, 34, 38, 52, 54, 57, 59, 71], "would": [2, 3, 4, 11, 14, 17, 28, 29, 30, 31, 32, 34, 37, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "overrid": [2, 14, 17, 37, 51, 53, 57, 66, 67, 71], "been": [2, 3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 28, 29, 32, 34, 35, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 73, 74], "definit": [2, 4, 8, 10, 11, 13, 17, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 38, 41, 42, 43, 44, 51, 53, 58, 59, 60, 62, 66, 67, 72, 73, 74, 75, 77], "fill": [2, 9, 13, 17, 25, 52, 55, 57, 62, 71], "label": [2, 8, 14, 17, 29, 54, 59], "TO": 2, "BE": 2, "search": [2, 4, 5, 7, 13, 17, 24, 25, 42, 44, 51, 52, 53, 61, 62, 64], "insid": [2, 3, 4, 8, 9, 13, 14, 17, 24, 25, 28, 29, 34, 35, 38, 46, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "real": [2, 3, 7, 11, 24, 25, 34, 46, 53, 55, 66, 67, 71], "nativ": [2, 5, 10, 12, 24, 25, 36, 51, 55, 58, 59, 64], "boolean": [2, 5, 9, 11, 13, 14, 17, 24, 25, 27, 29, 34, 37, 39, 40, 42, 55, 59, 60, 62, 64, 67, 71], "syntax": [2, 4, 5, 6, 8, 9, 11, 13, 14, 25, 26, 27, 30, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 51, 52, 53, 58, 59, 60, 63, 64, 66, 75, 77], "itself": [2, 3, 8, 9, 11, 12, 13, 14, 17, 30, 34, 39, 40, 41, 42, 43, 44, 51, 53, 54, 55, 57, 58, 60, 63, 64, 67, 71], "initi": [2, 6, 7, 11, 13, 17, 24, 27, 29, 38, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 75], "datatyp": [2, 17, 24, 25, 26, 35, 44, 46, 54, 55, 57, 59, 60, 67, 71], "pattern": [2, 9, 13, 17, 24, 25, 27, 28, 30, 32, 34, 40, 41, 42, 45, 60, 64, 67, 72, 77], "charact": [2, 8, 10, 13, 14, 17, 24, 25, 27, 29, 35, 36, 40, 44, 46, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "char": [2, 17, 53], "prelud": [2, 17, 25, 29, 51, 59, 66], "liter": [2, 5, 17, 29, 36, 42, 54, 55, 57, 71], "handl": [2, 3, 8, 9, 11, 17, 24, 26, 37, 43, 46, 53, 55, 57, 58, 59, 61, 62, 66, 67, 71], "special": [2, 3, 4, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29, 34, 51, 52, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "design": [2, 8, 11, 17, 24, 25, 37, 44, 57, 64, 71, 77], "regist": [2, 3, 4, 5, 7, 9, 11, 13, 17, 25, 32, 42, 57, 64, 67, 71, 72], "standard": [2, 3, 5, 9, 14, 25, 27, 29, 35, 36, 40, 51, 52, 53, 54, 58, 59, 62, 64, 65, 66, 67, 72, 73, 74, 75], "indic": [2, 8, 11, 12, 13, 14, 17, 24, 26, 31, 34, 35, 39, 40, 41, 42, 43, 46, 51, 52, 53, 54, 57, 58, 59, 62, 64, 66, 67, 71], "how": [2, 7, 8, 13, 17, 24, 25, 27, 29, 30, 34, 35, 37, 42, 43, 45, 51, 53, 54, 57, 58, 59, 60, 62, 64, 67, 71, 72, 74, 77], "over": [2, 3, 11, 14, 17, 24, 25, 26, 27, 28, 30, 32, 34, 37, 38, 39, 40, 41, 42, 44, 46, 52, 53, 54, 58, 59, 60, 61, 62, 64, 66, 67], "could": [2, 3, 4, 5, 6, 11, 12, 17, 24, 29, 31, 34, 37, 42, 46, 51, 52, 55, 57, 58, 60, 62, 66, 71, 72, 73], "arbitrari": [2, 3, 5, 10, 11, 14, 17, 24, 31, 44, 46, 53, 57, 60, 62, 71], "k": [2, 3, 6, 14, 17, 24, 26, 34, 42, 54, 57, 67, 72, 77], "emul": [2, 12, 17, 40, 57], "branch": [2, 5, 9, 17, 25, 34, 40, 45, 46, 55, 59, 60, 66, 67, 72], "element": [2, 3, 11, 12, 17, 25, 26, 27, 34, 35, 36, 46, 57, 59, 60, 71], "destruct": [2, 13, 17, 24, 25, 34, 54, 55, 57, 58, 64, 71], "foo": [2, 11, 14, 17, 29, 35, 38, 40, 43, 51, 52, 53, 55, 57, 58, 59, 64, 66, 71, 74, 75], "fun": [2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 75], "consid": [2, 3, 4, 5, 9, 11, 12, 13, 14, 17, 24, 26, 28, 29, 30, 31, 34, 37, 41, 42, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 73, 75], "unit": [2, 12, 13, 14, 17, 27, 34, 40, 46, 53, 54, 55, 57, 62, 64, 71], "block": [2, 9, 10, 14, 17, 25, 29, 30, 34, 37, 38, 44, 46, 54, 64, 65, 67], "earli": [2, 15, 17, 25, 26, 54, 64], "evalu": [2, 3, 9, 11, 17, 24, 25, 28, 30, 34, 35, 41, 53, 57, 60, 64, 71], "bar": [2, 8, 14, 17, 29, 35, 51, 52, 53, 55, 57, 64, 66, 71, 74], "As": [2, 3, 5, 6, 9, 10, 11, 13, 14, 17, 26, 28, 30, 34, 36, 37, 38, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72], "care": [2, 13, 14, 17, 46, 53, 54, 64, 67, 71, 75], "pre": [2, 17, 25, 53, 60], "sound": [2, 17, 34], "ad": [2, 4, 9, 13, 14, 17, 24, 25, 29, 34, 37, 42, 44, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75, 77], "hoc": [2, 3, 17, 71, 77], "often": [2, 3, 10, 13, 14, 17, 25, 28, 43, 46, 52, 53, 54, 55, 57, 58, 66], "fulli": [2, 3, 8, 17, 24, 26, 28, 31, 32, 35, 38, 44, 51, 52, 53, 54, 55, 58, 59, 64, 66, 71, 72], "rigor": [2, 24], "correct": [2, 8, 9, 11, 17, 24, 25, 28, 32, 35, 46, 51, 53, 57, 59, 64, 66, 67, 71], "theoret": [2, 17, 24, 31, 39, 77], "valu": [2, 4, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 42, 43, 51, 52, 53, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "larger": [2, 13, 14, 17, 25, 51, 52, 57, 60, 71, 75], "than": [2, 3, 5, 8, 11, 12, 13, 14, 17, 24, 29, 30, 31, 34, 35, 37, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 73, 75], "max_int": 2, "overflow": [2, 17, 59, 66, 71], "bad": [2, 11, 12, 14, 17, 34, 59, 64], "event": [2, 17, 51], "practic": [2, 3, 5, 17, 24, 25, 32, 34, 39, 42, 53, 55, 57, 58, 64, 66, 71, 74, 77], "translat": [2, 3, 17, 24, 25, 33, 41, 45, 57, 71, 75], "magic": [2, 17, 24, 55, 59], "improv": [2, 3, 8, 11, 17, 24, 29, 52, 54, 57, 67], "asymptot": [2, 59], "complex": [2, 11, 17, 24, 25, 29, 33, 35, 52, 54, 55, 57, 59, 61, 63, 66, 67], "represent": [2, 3, 5, 11, 12, 17, 24, 29, 34, 37, 51, 53, 57, 64, 71], "mul": [2, 5, 17, 36, 52, 57, 59, 71], "stai": [2, 27], "quadrat": [2, 17], "interest": [2, 4, 5, 11, 17, 24, 31, 42, 54, 57, 67], "associ": [2, 3, 11, 13, 14, 17, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67], "primit": [2, 10, 12, 13, 14, 17, 24, 25, 27, 30, 33, 34, 41, 46, 54, 55, 57, 64, 67], "counterpart": [2, 3, 9, 11, 17, 30, 34, 57], "bool": [2, 3, 4, 5, 12, 13, 17, 24, 27, 30, 35, 36, 37, 40, 41, 42, 44, 46, 55, 57, 58, 59, 60, 71], "true": [2, 3, 4, 5, 7, 9, 11, 12, 13, 14, 17, 24, 26, 27, 34, 35, 36, 37, 40, 41, 44, 46, 51, 53, 54, 55, 57, 58, 59, 62, 64, 67, 71, 74], "fals": [2, 4, 5, 9, 10, 12, 13, 17, 24, 27, 34, 37, 40, 41, 46, 51, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71], "sumbool": [2, 27, 46, 71], "enclos": [2, 29, 41, 53, 54, 55, 66, 71, 75], "parenthes": [2, 3, 8, 17, 24, 28, 29, 35, 37, 46, 54, 55, 57, 58, 67, 71], "meet": [2, 9, 71], "lexic": [2, 17, 25, 51, 59, 71, 75], "criteria": [2, 17, 72], "infix": [2, 14, 17, 24, 25, 27, 42, 57, 58, 64, 74], "symbol": [2, 3, 11, 14, 17, 24, 25, 27, 28, 29, 31, 41, 42, 43, 46, 57, 59, 60, 62, 64, 67, 71, 75, 77], "rest": [2, 3, 13, 17, 26, 29, 36, 42, 52, 57, 66], "prod": [2, 17, 26, 27, 34, 46, 62, 67], "caveat": [2, 17, 25, 55, 57, 60], "abov": [2, 3, 5, 11, 13, 14, 17, 24, 28, 30, 34, 37, 38, 42, 44, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 71, 72, 75], "succ": [2, 24, 54, 59, 64], "fo": 2, "els": [2, 4, 9, 11, 12, 13, 17, 29, 30, 35, 40, 41, 46, 52, 54, 55, 57, 59, 62, 67, 71, 75], "interfac": [2, 17, 24, 25, 35, 52, 53, 66, 74, 75, 76], "link": [2, 16, 17, 24, 27, 46, 53, 57, 72, 75], "linker": [2, 24], "know": [2, 8, 17, 24, 27, 32, 34, 42, 46, 52, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71], "extern": [2, 5, 11, 13, 17, 29, 33, 52, 54, 55, 59, 60, 63, 66, 73, 74, 75], "shall": [2, 17, 24, 26, 31, 34, 39, 42, 57, 71], "access": [2, 5, 14, 17, 24, 25, 28, 32, 33, 34, 35, 36, 38, 44, 51, 52, 53, 55, 57, 59, 71], "callback": [2, 17], "referenc": [2, 17, 53, 71], "stdlib": [2, 3, 5, 7, 9, 11, 12, 14, 17, 27, 28, 29, 35, 51, 53, 54, 55, 57, 59, 60, 64, 67, 72, 75], "f_impl": 2, "compat": [2, 3, 4, 13, 14, 24, 25, 29, 34, 42, 51, 52, 53, 58, 62, 63, 64, 71], "support": [2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 24, 25, 30, 32, 34, 35, 36, 37, 40, 41, 42, 44, 51, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76], "thrown": 2, "after": [2, 4, 5, 7, 8, 9, 11, 13, 17, 24, 29, 32, 34, 35, 38, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "callabl": 2, "express": [2, 3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 39, 40, 41, 43, 44, 57, 58, 59, 60, 64, 66, 67, 75], "signal": [2, 8, 17, 57], "alias": [2, 17, 24, 25, 29, 35, 55], "uniqu": [2, 3, 12, 13, 17, 24, 31, 35, 38, 57, 59, 67, 71], "multipl": [2, 3, 4, 9, 14, 17, 24, 25, 27, 29, 34, 35, 40, 44, 52, 58, 59, 60, 64, 66, 67, 71], "expos": [2, 17, 25, 40, 41, 57, 71], "share": [2, 11, 13, 14, 17, 24, 28, 29, 34, 46, 51, 52, 53, 57, 59, 60, 64, 67, 71], "impact": [2, 17, 53, 66, 71], "synthesis": 2, "thu": [2, 3, 4, 5, 10, 12, 17, 24, 32, 34, 42, 43, 46, 51, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72, 75], "safeti": 2, "registr": [2, 17, 25], "usabl": [2, 17, 24, 38, 52, 66, 67, 71], "togeth": [2, 3, 9, 17, 24, 25, 27, 31, 34, 35, 43, 53, 54, 55, 57, 66, 71, 75], "map": [2, 3, 5, 13, 17, 24, 25, 26, 34, 35, 36, 39, 41, 44, 51, 53, 57, 58, 59, 60, 71, 72, 75], "directli": [2, 3, 4, 9, 13, 14, 17, 24, 27, 28, 34, 43, 51, 52, 53, 55, 57, 58, 60, 64, 67, 72, 75], "happen": [2, 4, 9, 10, 13, 17, 34, 38, 46, 52, 54, 55, 57, 58, 64, 71, 72], "instruct": [2, 5, 17, 53, 58, 59], "particular": [2, 3, 6, 9, 10, 12, 13, 17, 29, 30, 31, 32, 33, 34, 37, 38, 40, 42, 52, 53, 54, 55, 57, 59, 60, 64, 66, 71, 75], "blacklist": [2, 17, 59], "includ": [2, 3, 5, 8, 9, 12, 13, 14, 17, 24, 25, 27, 28, 29, 34, 35, 36, 38, 39, 40, 41, 43, 44, 51, 52, 53, 54, 55, 57, 59, 60, 62, 64, 66, 67, 71, 73, 75], "natur": [2, 5, 7, 9, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 34, 35, 37, 39, 40, 42, 44, 46, 52, 53, 57, 58, 59, 62, 64, 66, 71, 72], "finer": [2, 17, 34, 57], "grain": [2, 17, 41], "bit": [2, 5, 17, 29, 30, 34, 36, 51, 53, 66, 71, 75, 77], "mask": [2, 35], "unless": [2, 3, 13, 14, 17, 29, 40, 41, 42, 44, 51, 52, 57, 58, 64, 71, 72, 75], "treatment": [2, 9, 17, 40], "fixpoint": [2, 3, 10, 13, 17, 24, 25, 27, 29, 30, 31, 32, 37, 38, 41, 44, 46, 52, 57, 59, 64, 66, 67, 71, 72], "simplifi": [2, 11, 17, 24, 41, 54, 57, 64, 67], "redux": 2, "factor": [2, 5, 11, 17, 25, 34, 45], "16": [2, 25, 53, 54, 57, 71], "32": [2, 17, 36, 51, 53, 66], "6": [2, 9, 25, 29, 35, 53, 54, 55, 57, 58, 71, 74, 77], "64": [2, 36, 51, 66], "swap": [2, 17, 54, 57, 58], "lambda": [2, 3, 10, 11, 17, 31, 52, 55, 64, 67, 71, 77], "7": [2, 11, 25, 54, 57, 64, 71, 74, 75, 77], "128": 2, "256": 2, "push": [2, 17, 57, 71], "9": [2, 24, 25, 29, 30, 35, 53, 54, 57, 64, 71, 74, 77], "512": 2, "linear": [2, 3, 11, 14, 17, 24, 25, 46, 51, 54, 55, 57, 64], "10": [2, 5, 24, 25, 29, 31, 52, 54, 57, 59, 60, 64, 71, 74, 77], "1024": 2, "typeexpand": 2, "expand": [2, 13, 14, 17, 28, 29, 30, 31, 35, 37, 41, 46, 52, 54, 55, 57, 58, 64, 67, 71], "learn": [2, 17, 25, 54, 72], "written": [2, 3, 5, 11, 13, 17, 24, 26, 28, 29, 34, 35, 36, 37, 42, 43, 44, 46, 52, 53, 54, 55, 57, 59, 64, 71, 73, 74], "due": [2, 3, 13, 14, 17, 24, 27, 30, 34, 46, 52, 54, 55, 59, 64, 66, 67, 71, 72, 73], "typabl": [2, 4, 34], "now": [2, 3, 4, 11, 13, 14, 17, 24, 26, 27, 30, 34, 35, 41, 42, 46, 51, 52, 53, 54, 55, 57, 59, 60, 64, 67, 71, 72, 74], "solv": [2, 3, 5, 7, 11, 13, 17, 24, 25, 39, 42, 44, 57, 60, 61, 62, 64, 67], "problem": [2, 4, 7, 9, 13, 17, 24, 29, 34, 42, 44, 46, 51, 52, 53, 54, 58, 62, 66, 67], "least": [2, 3, 12, 13, 17, 25, 28, 29, 30, 34, 41, 46, 52, 53, 57, 58, 64, 66, 67, 71, 72, 74, 75], "unsaf": [2, 17, 55, 66], "cast": [2, 12, 17, 25, 40, 46, 54, 55, 57, 58, 60, 64, 71], "obj": [2, 24, 42], "veri": [2, 8, 9, 11, 13, 17, 24, 25, 27, 29, 34, 42, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67], "polymorph": [2, 3, 13, 17, 24, 25, 26, 29, 30, 31, 32, 33, 37, 39, 40, 41, 44, 46, 51, 59, 66, 67, 71], "alright": 2, "refus": [2, 3, 64], "checker": [2, 9, 11, 17, 24, 25, 26, 29, 33, 73], "known": [2, 8, 10, 12, 13, 17, 24, 27, 30, 33, 34, 39, 41, 44, 51, 55, 57, 66, 71], "distr": 2, "dp": [2, 17], "foral": [2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 41, 42, 43, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 75], "direct": [2, 9, 12, 16, 17, 24, 31, 34, 42, 46, 52, 53, 57, 58, 71], "restrict": [2, 3, 12, 14, 17, 24, 26, 34, 35, 40, 51, 54, 57, 58, 59, 60, 62, 67, 71], "secondli": [2, 17], "quantif": [2, 3, 4, 13, 14, 17, 24, 26, 27, 28, 60, 67], "anyth": [2, 13, 17, 35, 44, 46, 51, 55, 57, 58, 64, 75], "anything_rect": 2, "anything_ind": 2, "anything_rec": 2, "anything_sind": 2, "dynam": [2, 11, 13, 17, 25, 36, 59, 71], "gadt": 2, "yet": [2, 17, 42, 43, 46, 51, 52, 54, 55, 57, 58, 60, 66, 71, 72], "those": [2, 3, 5, 10, 11, 12, 17, 24, 26, 33, 34, 35, 37, 43, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72], "get": [2, 5, 9, 11, 13, 14, 17, 24, 25, 28, 29, 34, 36, 42, 51, 52, 53, 55, 58, 59, 60, 64, 66, 67], "segment": [2, 17, 24, 52, 59, 71], "fault": [2, 24, 71], "your": [2, 3, 8, 11, 14, 15, 17, 25, 29, 51, 52, 54, 55, 57, 58, 59, 60, 62, 66, 71, 73, 74, 75], "seem": [2, 5, 17, 71], "ill": [2, 4, 9, 10, 17, 24, 26, 30, 34, 51, 55, 64, 71, 72], "go": [2, 5, 9, 17, 24, 30, 42, 51, 52, 54, 55, 57, 59, 60, 64, 67, 71, 75], "wrong": [2, 3, 17, 24, 44, 51, 54, 66, 72], "come": [2, 6, 8, 13, 17, 24, 27, 34, 43, 51, 52, 54, 55, 57, 59, 60, 64, 71], "Of": [2, 14, 42, 51, 57], "launch": [2, 13, 17, 25, 52, 53], "appli": [2, 3, 4, 5, 9, 10, 11, 13, 14, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 51, 53, 54, 55, 59, 60, 62, 66, 71, 72, 75], "shape": [2, 3, 57], "point": [2, 3, 11, 13, 17, 24, 25, 26, 32, 34, 35, 36, 39, 51, 52, 53, 54, 55, 57, 66, 71], "view": [2, 11, 17, 25, 26, 29, 32, 34, 39, 41, 52, 55, 60, 66], "about": [2, 3, 5, 11, 13, 14, 15, 17, 24, 25, 29, 30, 34, 37, 39, 41, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 72], "let02": [2, 77], "sai": [2, 3, 4, 17, 24, 26, 27, 28, 29, 31, 34, 42, 52, 53, 54, 55, 57, 58, 64, 71, 74], "though": [2, 8, 9, 17, 24, 29, 35, 37, 46, 51, 53, 54, 55, 64, 67, 71], "realist": [2, 42], "accept": [2, 3, 8, 13, 17, 24, 28, 29, 30, 32, 34, 40, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 72], "without": [2, 3, 5, 8, 9, 11, 13, 14, 17, 24, 26, 29, 32, 33, 34, 35, 37, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74, 75, 77], "below": [2, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 26, 27, 31, 34, 35, 38, 40, 41, 43, 51, 52, 53, 54, 55, 57, 64, 66, 71, 72, 74, 75], "choos": [2, 3, 17, 32, 34, 42, 43, 52, 53, 54, 57, 58, 67, 71, 72, 75], "everyth": [2, 17, 52, 53], "slight": [2, 17, 24, 58], "modif": [2, 4, 11, 17, 36, 41, 58, 71], "find": [2, 3, 4, 5, 7, 11, 13, 14, 16, 17, 25, 27, 29, 34, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 62, 64, 66, 67, 71, 72, 77], "Its": [2, 3, 11, 17, 24, 52, 55, 57, 60, 67, 74], "euclid": [2, 17, 24], "unari": [2, 3, 26, 29, 34, 64], "repres": [2, 3, 5, 11, 13, 14, 17, 24, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 43, 51, 52, 53, 54, 55, 57, 58, 59, 64, 65, 66, 67, 71], "theorem": [2, 5, 7, 8, 11, 12, 17, 24, 25, 27, 29, 32, 33, 35, 37, 38, 42, 43, 51, 52, 57, 59, 60, 62, 65, 66, 71, 73, 74, 75, 77], "eucl_dev": 2, "whose": [2, 3, 4, 5, 11, 13, 14, 17, 24, 26, 30, 31, 33, 34, 35, 37, 39, 41, 42, 44, 46, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71, 75], "diveucl": 2, "quotient": [2, 5, 17, 40, 57, 64], "modulo": [2, 4, 5, 11, 17, 24, 34, 54, 57, 58, 59, 71], "assert": [2, 17, 24, 25, 26, 28, 34, 41, 54, 55, 57, 58, 62, 64, 66, 67, 71], "disappear": [2, 17, 24, 34, 55, 60, 67, 71], "wf_nat": [2, 17, 24], "gt_wf_rec": 2, "lt_wf_rec": [2, 24], "induction_ltof2": 2, "val": [2, 34, 55, 57], "sub": [2, 4, 8, 17, 36, 41, 46, 51, 53, 54, 57, 59, 60, 67, 71], "rec": [2, 17, 24, 35, 54, 55, 75], "le_lt_dec": [2, 17, 24], "n0": [2, 9, 31, 46, 57, 58, 67, 72], "n1": [2, 9, 34, 53, 57, 72], "le_gt_dec": 2, "divex": 2, "d": [2, 4, 5, 11, 14, 17, 24, 26, 34, 46, 51, 52, 53, 54, 57, 58, 62, 67, 75, 77], "q": [2, 3, 5, 7, 10, 11, 12, 17, 24, 27, 34, 35, 46, 51, 53, 54, 55, 57, 58, 59, 67, 71, 75], "r": [2, 3, 5, 7, 9, 11, 13, 14, 17, 24, 27, 28, 34, 35, 37, 41, 44, 51, 53, 54, 57, 58, 59, 60, 64, 67, 71, 72, 75, 77], "mandatori": [2, 8, 17, 32, 57, 66, 71], "enhanc": [2, 17, 52, 57], "past": [2, 17, 52, 64], "u": [2, 3, 4, 9, 10, 11, 14, 17, 24, 26, 27, 31, 34, 35, 38, 39, 41, 42, 46, 51, 53, 54, 55, 57, 58, 62, 64, 67, 71], "plai": [2, 17, 26, 42, 64, 66], "toplevel": [2, 10, 13, 14, 17, 24, 25, 27, 29, 35, 44, 46, 51, 52, 53, 55, 57, 58, 59, 60, 64, 71, 72, 74], "easier": [2, 10, 17, 24, 45, 52, 57, 58, 67, 71], "nat_of_int": 2, "int_of_nat": 2, "div": [2, 3, 5, 11, 17, 59], "173": [2, 14], "15": [2, 13, 25, 52, 53, 57, 66], "mere": [2, 17, 55, 57, 64, 71], "extrocamlintconv": 2, "concret": [2, 13, 14, 17, 25, 26, 29, 34, 42, 46, 51, 57, 64, 71], "patholog": 2, "success": [2, 3, 4, 5, 13, 17, 24, 25, 34, 51, 52, 55, 57, 59, 60, 62, 64, 66, 67, 74], "sever": [2, 3, 4, 5, 11, 17, 24, 25, 26, 28, 29, 30, 31, 32, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 60, 64, 65, 67, 71, 72, 75, 76], "chain": [2, 17, 25, 51, 64, 71, 74], "http": [2, 5, 17, 24, 25, 27, 50, 51, 52, 53, 59, 64, 75, 77], "github": [2, 5, 17, 51, 52], "com": [2, 5, 17, 51, 52, 54], "coq": [2, 8, 9, 11, 13, 15, 17, 25, 26, 29, 30, 46, 51, 53, 54, 55, 57, 58, 59, 63, 66, 71, 72, 73, 75, 76, 77], "commun": [2, 17, 24, 27, 29, 51], "hydra": 2, "battl": 2, "bdd": 2, "contrib": [2, 17, 24, 53, 55], "canon": [2, 4, 5, 11, 13, 17, 24, 25, 30, 32, 34, 35, 37, 38, 44, 45, 53, 57, 59, 71, 77], "chines": [2, 24], "continu": [2, 17, 24, 52, 53, 54, 55, 57, 71, 73], "fire": [2, 14, 17], "squad": 2, "founifi": 2, "graph": [2, 14, 17, 24, 25, 39, 54, 72], "higman": 2, "cf": [2, 9, 17, 24, 29, 34, 40, 42, 46, 59, 67], "nw": 2, "hardwar": [2, 8, 24], "multipli": [2, 57], "stalmarck": [2, 24], "probabl": [2, 17, 32, 44, 51, 54, 57, 58, 59, 75], "heavi": 2, "impred": [2, 12, 14, 17, 24, 25, 34, 51, 53, 77], "thank": [2, 5, 12, 17, 24, 34, 42, 55, 57, 64, 71], "matthieu": [3, 9, 14, 17, 77], "sozeau": [3, 9, 14, 17, 77], "equal": [3, 5, 8, 10, 11, 12, 13, 14, 17, 24, 25, 26, 30, 31, 32, 34, 35, 36, 39, 40, 42, 44, 46, 52, 54, 55, 57, 58, 60, 61, 65, 71, 72, 77], "equip": [3, 4, 17, 24, 27, 36, 42, 64], "equival": [3, 9, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 36, 37, 38, 41, 42, 46, 51, 52, 53, 54, 55, 59, 60, 62, 64, 66, 67, 71, 75], "behav": [3, 11, 17, 24, 28, 29, 31, 34, 35, 43, 53, 54, 55, 57, 58, 60, 62, 64, 67, 71], "weaker": [3, 17, 24, 60], "g": [3, 4, 5, 8, 9, 10, 13, 14, 17, 24, 27, 28, 29, 30, 31, 34, 35, 36, 41, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 75, 77], "system": [3, 8, 9, 11, 17, 24, 25, 26, 27, 28, 29, 32, 33, 34, 38, 39, 46, 51, 52, 53, 54, 55, 57, 59, 60, 62, 71, 73, 77], "toolbox": [3, 17], "extend": [3, 4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 32, 34, 35, 37, 40, 41, 42, 45, 51, 52, 53, 55, 59, 60, 71, 77], "capabl": [3, 17, 51, 53, 54, 55, 64], "document": [3, 8, 9, 11, 12, 16, 17, 24, 25, 42, 51, 52, 54, 55, 57, 59, 64, 65, 66, 67, 71, 72, 74, 76], "adapt": [3, 7, 17, 24, 51, 57, 63], "claudio": [3, 17, 24], "sacerdoti": [3, 17, 24], "coen": [3, 17, 24], "base": [3, 5, 10, 11, 12, 13, 14, 17, 24, 25, 29, 33, 35, 39, 42, 43, 44, 51, 52, 53, 54, 55, 57, 58, 60, 62, 63, 64, 66, 67, 71, 73, 74, 75, 77], "cl\u00e9ment": [3, 17], "renard": [3, 24], "implement": [3, 8, 11, 12, 13, 17, 24, 25, 29, 34, 35, 36, 37, 39, 43, 46, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 77], "drop": [3, 17, 51, 54, 59, 71], "old": [3, 11, 24, 25, 51, 53, 55, 58, 60, 66, 67], "complet": [3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 30, 32, 34, 36, 40, 42, 51, 52, 53, 54, 57, 58, 59, 60, 62, 66, 67, 71], "typeclass": [3, 4, 5, 7, 17, 25, 35, 37, 38, 44, 45, 58, 60, 64, 66, 71], "infrastructur": [3, 25, 42, 53], "algorithm": [3, 7, 9, 11, 13, 17, 24, 25, 41, 51, 54, 57, 59, 62, 66, 77], "constraint": [3, 5, 8, 9, 10, 13, 17, 24, 25, 34, 35, 39, 43, 44, 51, 53, 54, 55, 58, 67, 71], "ml": [3, 5, 6, 8, 11, 17, 24, 25, 26, 29, 34, 36, 46, 51, 52, 53, 54, 57, 59, 60, 63, 64, 72, 77], "resolut": [3, 13, 17, 24, 25, 58, 60, 66, 71, 75], "anoth": [3, 4, 9, 11, 13, 14, 17, 24, 27, 31, 32, 34, 35, 40, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 63, 64, 66, 67, 71], "pure": [3, 7, 11, 17, 55, 57, 64, 71, 72, 75], "again": [3, 13, 17, 24, 34, 42, 52, 53, 55, 57, 60, 64, 66, 71], "ordinari": [3, 17, 26, 37, 39, 71], "rocq": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 50, 52, 54, 55, 58, 59, 62, 63, 64, 65, 66, 67, 72, 73, 76], "manipul": [3, 9, 10, 17, 24, 25, 34, 37, 39, 55, 57, 63, 77], "put": [3, 5, 13, 14, 17, 34, 35, 43, 51, 53, 54, 57, 58, 59, 60, 66, 67, 71, 72, 75], "lemma": [3, 5, 11, 13, 14, 17, 24, 25, 32, 34, 35, 36, 38, 42, 44, 46, 54, 57, 58, 59, 60, 62, 64, 67, 72], "prove": [3, 5, 7, 8, 9, 11, 17, 24, 25, 27, 30, 32, 34, 35, 42, 43, 57, 58, 60, 62, 64, 72, 77], "higher": [3, 14, 17, 24, 25, 27, 40, 51, 54, 57, 58, 59, 60, 64, 67, 71, 73, 77], "depth": [3, 5, 13, 17, 29, 54, 57, 58, 59, 60, 62, 64, 71, 75], "solut": [3, 5, 13, 17, 42, 44, 58, 59, 63, 67], "fast": [3, 17, 24, 25, 53], "besid": [3, 17, 24, 34, 57], "necessari": [3, 4, 9, 13, 17, 24, 29, 31, 33, 37, 53, 55, 57, 59, 62, 64, 67, 71], "nicola": [3, 17, 77], "tabareau": [3, 17, 77], "glu": 3, "A": [3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 50, 51, 52, 53, 54, 55, 57, 59, 60, 62, 63, 64, 66, 71, 72, 74, 75, 76, 77], "x1": [3, 9, 13, 17, 27, 42, 54, 57, 59, 60, 72], "t1": [3, 13, 17, 34, 42, 46, 57], "xn": [3, 9, 17, 57], "tn": [3, 13, 17, 57], "carrier": [3, 11, 14, 42, 57], "said": [3, 4, 17, 26, 34, 36, 42, 44, 55, 59, 71], "possibli": [3, 4, 17, 24, 34, 35, 42, 43, 51, 53, 54, 57, 59, 64, 67, 71, 73], "paramet": [3, 4, 5, 7, 8, 12, 13, 14, 17, 24, 25, 28, 29, 34, 37, 40, 41, 42, 43, 44, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 72], "finit": [3, 5, 17, 24, 30, 34], "unord": [3, 17, 57], "set_eq": 3, "satisfi": [3, 4, 5, 11, 13, 14, 17, 30, 34, 35, 54, 55, 59, 64, 67, 71], "convert": [3, 4, 12, 13, 14, 17, 25, 26, 34, 37, 41, 44, 54, 55, 57, 58, 64, 67], "reflex": [3, 5, 6, 11, 13, 17, 24, 27, 34, 36, 51, 54, 57, 59, 60, 62, 64, 66, 67, 71], "symmetri": [3, 17, 24, 34, 44, 57, 60, 64], "transit": [3, 7, 8, 13, 14, 17, 24, 25, 26, 35, 41, 44, 51, 54, 57, 58, 59, 60, 64, 66, 74], "symmetr": [3, 17, 24, 31, 59, 64, 71], "a1": [3, 27, 34, 46, 57, 58, 71], "a2": [3, 27, 34, 58], "covariantli": 3, "r1": [3, 5, 17, 27, 41, 44, 57, 59], "r2": [3, 17, 27, 41, 44, 57, 59], "whenev": [3, 7, 14, 17, 27, 29, 42, 55, 57, 62, 64, 67, 71], "imag": [3, 11, 17, 24, 51, 52, 66], "input": [3, 4, 9, 10, 13, 14, 17, 25, 27, 29, 35, 44, 46, 51, 54, 57, 58, 60, 64, 71, 72, 74, 75], "monoton": [3, 4, 17], "i_": [3, 34, 57], "r_1": 3, "r_2": 3, "notic": [3, 4, 5, 17, 26, 34, 35, 38, 46, 51, 52, 54, 57, 58, 64, 66, 71, 72, 74], "arrow": [3, 4, 14, 17, 52, 57, 60, 64, 67], "reader": [3, 11, 24, 29, 31, 42, 57], "between": [3, 4, 10, 11, 13, 14, 17, 24, 25, 26, 27, 29, 33, 34, 38, 39, 43, 44, 46, 51, 52, 53, 54, 57, 58, 60, 64, 65, 67, 71, 72, 75], "introduc": [3, 5, 8, 10, 11, 13, 14, 17, 24, 25, 28, 30, 31, 34, 35, 37, 38, 43, 44, 46, 51, 52, 55, 57, 58, 59, 60, 62, 66, 67, 71, 72, 75], "straightforwardli": 3, "ari": [3, 17, 34], "simultan": [3, 17, 24, 25, 26, 30, 32, 34, 42, 53, 57, 58], "everi": [3, 9, 11, 12, 13, 14, 17, 28, 29, 34, 40, 51, 52, 54, 55, 57, 58, 64, 71], "argument": [3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 40, 42, 43, 45, 51, 52, 54, 55, 58, 59, 60, 62, 64, 66, 72, 75], "invers": [3, 11, 17, 24, 25, 31, 58, 60, 64, 72, 77], "t_1": [3, 26, 31, 34, 35], "ldot": [3, 7, 34], "t_n": [3, 26, 34, 66], "union": [3, 13, 17, 54, 59, 66, 77], "append": [3, 17, 29, 35, 43, 53, 54, 66, 75], "binari": [3, 5, 7, 11, 14, 17, 24, 29, 37, 42, 51, 53, 57, 58, 60, 64, 71], "latter": [3, 11, 17, 28, 34, 35, 42, 51, 54, 55, 57, 58, 64, 66, 67, 75], "condit": [3, 4, 9, 11, 17, 24, 25, 30, 50, 53, 59, 60, 63, 64, 66, 67], "s1": [3, 30, 38, 57], "s2": [3, 30], "divis": [3, 11, 17, 24, 25, 57], "rdiv": [3, 5], "le": [3, 5, 13, 14, 17, 24, 27, 42, 46, 52, 55, 57, 64, 67, 77], "usual": [3, 8, 9, 12, 17, 25, 26, 27, 28, 30, 34, 35, 37, 40, 43, 44, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74, 75], "leibniz": [3, 5, 7, 11, 13, 17, 24, 25, 27, 35, 40, 57, 58, 67], "unfortun": [3, 5, 17, 42, 46, 57], "intend": [3, 17, 24, 28, 32, 39, 51, 57, 64, 66, 71], "next": [3, 9, 13, 17, 24, 27, 29, 33, 34, 42, 44, 46, 51, 52, 54, 55, 57, 60, 64, 65, 66, 67, 71], "section": [3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 40, 41, 42, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 67, 71, 74], "deal": [3, 5, 8, 13, 17, 24, 25, 42, 46, 57, 60, 64, 71, 72], "exact": [3, 12, 14, 17, 24, 25, 35, 40, 43, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71], "goal": [3, 6, 7, 8, 9, 12, 13, 14, 17, 24, 25, 27, 29, 31, 34, 35, 36, 37, 38, 42, 43, 44, 52, 53, 59, 60, 61, 62, 64, 71, 72, 74], "howev": [3, 4, 5, 9, 12, 13, 14, 17, 24, 27, 29, 34, 36, 37, 41, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 72], "verifi": [3, 7, 9, 11, 14, 17, 24, 25, 29, 31, 32, 33, 35, 51, 60, 66], "verif": [3, 24, 25, 32, 66, 67, 77], "consist": [3, 4, 5, 11, 13, 14, 17, 24, 27, 30, 31, 34, 35, 52, 55, 57, 58, 59, 64, 65, 66, 71], "composit": [3, 71], "some": [3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 40, 41, 42, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 71, 72, 73, 75], "obviou": [3, 34, 57, 71], "suppos": [3, 9, 17, 55, 57, 64], "hypothesi": [3, 9, 11, 17, 24, 25, 27, 28, 29, 34, 38, 55, 57, 59, 60, 62, 64, 66, 67, 71, 72, 75], "h": [3, 4, 6, 9, 11, 12, 13, 14, 17, 24, 27, 34, 40, 44, 46, 51, 54, 55, 57, 58, 62, 64, 66, 67, 72, 75, 77], "These": [3, 11, 13, 14, 17, 24, 25, 27, 28, 29, 31, 32, 34, 36, 37, 38, 40, 52, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72, 73], "attribut": [3, 5, 9, 13, 14, 16, 25, 28, 30, 32, 34, 37, 40, 41, 42, 44, 51, 54, 55, 59, 60, 62, 64, 66, 71, 74], "univers": [3, 4, 8, 9, 12, 13, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 44, 46, 51, 54, 57, 59, 62, 66, 67, 71, 77], "add": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 24, 25, 29, 31, 32, 34, 37, 41, 42, 44, 46, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 73, 75], "one_term": [3, 5, 7, 11, 13, 29, 34, 54, 58, 60, 62, 64, 67, 71, 72], "aeq": 3, "\u03b1": [3, 14, 25, 54, 55, 57], "typeabl": 3, "fresh": [3, 14, 17, 24, 25, 31, 34, 53, 57, 58, 64, 66, 67, 71], "intern": [3, 5, 11, 14, 17, 24, 25, 31, 34, 37, 44, 51, 53, 54, 55, 58, 60, 62, 66, 67, 71, 72, 73, 74, 77], "although": [3, 5, 9, 17, 35, 37, 53, 55, 57, 58, 60, 64, 66], "depart": 3, "To": [3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 17, 24, 25, 27, 29, 30, 32, 34, 37, 39, 41, 42, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72, 74, 75], "eq": [3, 5, 11, 14, 17, 27, 35, 40, 42, 54, 57, 58, 59, 64, 67, 71], "refl_equ": [3, 17, 57], "properti": [3, 4, 6, 9, 11, 12, 13, 17, 24, 25, 26, 27, 30, 31, 32, 34, 38, 39, 42, 45, 46, 57, 58, 67, 72, 77], "deriv": [3, 5, 9, 13, 17, 24, 25, 26, 30, 34, 38, 40, 54, 64, 66, 73], "autorewrit": [3, 17, 24, 60], "abl": [3, 8, 11, 13, 14, 17, 24, 25, 34, 42, 44, 46, 51, 53, 55, 57, 58, 59, 61, 62, 67], "defined": 3, "interact": [3, 6, 10, 13, 17, 24, 25, 32, 33, 37, 38, 40, 42, 43, 52, 59, 65, 66, 67, 71, 75, 76, 77], "denot": [3, 4, 11, 17, 24, 26, 28, 29, 30, 34, 35, 39, 40, 42, 43, 52, 54, 57, 58, 67, 71], "small": [3, 5, 8, 11, 14, 17, 25, 26, 33, 34, 39, 42, 44, 52, 53, 57, 64], "theori": [3, 4, 5, 11, 17, 24, 25, 26, 27, 28, 29, 39, 42, 46, 51, 53, 57, 58, 60, 62, 67, 71, 77], "homogen": [3, 17], "export": [3, 5, 8, 9, 11, 13, 17, 24, 29, 35, 38, 51, 52, 54, 55, 59, 60, 71], "relation_definit": [3, 13, 17, 42, 59], "eq_set": 3, "axiom": [3, 6, 7, 9, 10, 11, 12, 14, 17, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 42, 44, 51, 52, 54, 57, 58, 59, 60, 64, 66, 67, 71, 72, 74], "eq_set_refl": 3, "eq_set_sym": 3, "eq_set_tran": 3, "empty_neutr": 3, "union_compat": 3, "eq_set_rel": 3, "eq_set_rel_rel": 3, "eq_set_rel_reflex": 3, "eq_set_rel_symmetr": 3, "eq_set_rel_transit": 3, "union_mor": 3, "x0": [3, 13, 17, 37, 43, 44, 54, 66, 71], "y0": [3, 13, 43], "No": [3, 5, 6, 9, 11, 12, 13, 14, 17, 24, 25, 26, 30, 34, 35, 36, 40, 42, 44, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74], "qed": [3, 5, 6, 8, 9, 12, 13, 14, 17, 24, 29, 32, 34, 36, 38, 40, 42, 51, 52, 54, 57, 58, 59, 60, 62, 64, 66, 67, 72], "reduc": [3, 7, 8, 10, 11, 12, 13, 17, 24, 26, 31, 32, 34, 36, 37, 40, 41, 44, 51, 53, 57, 58, 59, 60, 64, 66, 67, 71], "burden": [3, 63], "maxim": [3, 13, 17, 25, 41, 51, 57, 71, 77], "insert": [3, 4, 9, 12, 13, 17, 24, 25, 29, 41, 46, 52, 53, 55, 57, 66, 71, 75], "write": [3, 4, 8, 11, 13, 14, 17, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 39, 43, 51, 53, 54, 55, 57, 58, 59, 63, 66, 67, 71, 73, 75], "proce": [3, 11, 13, 52, 57, 71], "simpl": [3, 4, 10, 11, 17, 24, 25, 29, 37, 41, 42, 43, 46, 52, 53, 54, 57, 58, 59, 60, 62, 67, 72], "step": [3, 5, 7, 11, 13, 17, 24, 25, 26, 29, 41, 51, 52, 53, 54, 58, 60, 64, 65, 67], "applic": [3, 5, 10, 11, 13, 14, 17, 24, 25, 26, 29, 30, 35, 36, 37, 41, 46, 52, 55, 57, 59, 60, 64, 66, 67, 71, 72, 77], "establish": [3, 17, 57], "intro": [3, 5, 11, 12, 13, 17, 24, 25, 34, 42, 43, 44, 52, 54, 55, 60, 62, 64, 66, 67, 71, 72], "manag": [3, 13, 17, 24, 25, 32, 38, 51, 53, 57, 59, 60, 62, 73], "hypothes": [3, 5, 9, 13, 17, 24, 25, 28, 32, 34, 51, 57, 60, 62, 64, 67, 71], "One": [3, 8, 9, 13, 14, 17, 25, 31, 32, 34, 37, 38, 39, 44, 51, 53, 54, 55, 59, 60, 64, 66, 67, 71, 75], "cmd": [3, 17, 38, 51, 52, 54], "exist": [3, 4, 5, 9, 11, 13, 14, 17, 25, 26, 27, 28, 29, 31, 32, 34, 36, 37, 39, 41, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 74], "outsid": [3, 5, 9, 11, 12, 13, 14, 17, 28, 29, 35, 38, 40, 41, 42, 43, 53, 54, 59, 60, 66, 71], "suffix": [3, 17, 35, 51, 52, 53, 54, 57, 59, 71, 75], "_morphism": 3, "modifi": [3, 4, 8, 11, 13, 14, 17, 24, 25, 29, 36, 38, 41, 51, 52, 54, 55, 57, 58, 64, 66, 67, 71], "themselv": [3, 13, 14, 17, 26, 35, 37, 39, 41, 42, 53, 57, 59, 64, 71], "exploit": [3, 17, 24, 57, 67], "monotoni": 3, "hand": [3, 10, 12, 13, 17, 25, 27, 29, 33, 35, 52, 53, 54, 55, 57, 58, 64, 67, 71, 72], "partial": [3, 13, 17, 24, 34, 35, 37, 44, 51, 53, 54, 57, 59, 62, 66, 71, 72], "domain": [3, 5, 11, 14, 17, 24, 25, 26, 34, 42, 61, 64, 71], "compris": [3, 24], "eqo": 3, "smallest": [3, 5, 27, 34, 67], "nonzero": [3, 11, 37, 54], "eq0": 3, "open": [3, 5, 6, 11, 13, 17, 25, 27, 35, 36, 38, 50, 52, 54, 55, 57, 59, 60, 64, 66], "addit": [3, 4, 5, 8, 9, 13, 17, 24, 25, 27, 29, 31, 34, 35, 39, 51, 52, 53, 54, 55, 58, 59, 62, 64, 65, 66, 67, 71, 72, 73], "up": [3, 8, 13, 17, 24, 25, 26, 31, 34, 35, 38, 42, 43, 52, 53, 54, 55, 57, 58, 64, 66, 67, 71, 75], "longer": [3, 9, 17, 24, 31, 34, 38, 44, 52, 53, 58, 66, 67, 71], "posit": [3, 4, 5, 7, 9, 10, 11, 14, 17, 24, 25, 30, 36, 37, 39, 41, 44, 46, 51, 52, 54, 55, 57, 58, 59, 64, 66, 67, 71], "z": [3, 5, 7, 11, 13, 14, 17, 24, 26, 27, 28, 29, 34, 35, 37, 40, 41, 42, 43, 44, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71], "lt": [3, 9, 13, 17, 27, 42, 71, 72], "increas": [3, 5, 8, 17, 24, 53, 57, 62], "decreas": [3, 7, 9, 17, 30, 34, 55, 59, 72], "dualli": [3, 44, 57], "hold": [3, 4, 17, 30, 34, 35, 40, 42, 55, 58, 75], "On": [3, 10, 12, 17, 24, 27, 30, 32, 37, 40, 44, 46, 51, 52, 53, 54, 57, 58, 64, 71], "contrari": [3, 4, 9, 13, 17, 30, 40, 44, 57, 67], "messag": [3, 4, 8, 11, 12, 13, 14, 16, 17, 24, 26, 28, 29, 30, 34, 35, 37, 40, 41, 42, 43, 44, 46, 51, 52, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 74], "rewritten": [3, 9, 11, 24, 30, 46, 57, 58, 64], "compos": [3, 4, 34, 44, 57, 67, 71], "propag": [3, 11, 17, 41], "varianc": [3, 17], "annot": [3, 9, 14, 17, 24, 25, 27, 34, 41, 42, 45, 51, 53, 55, 57, 66], "switch": [3, 8, 13, 14, 17, 24, 25, 51, 53, 66], "travers": [3, 17, 57, 58, 67], "detail": [3, 5, 7, 14, 25, 31, 36, 37, 41, 42, 51, 52, 55, 57, 58, 59, 64, 66, 71, 72, 74, 75], "contravariantli": 3, "differ": [3, 4, 9, 11, 13, 14, 15, 17, 24, 25, 26, 29, 31, 34, 35, 37, 38, 41, 43, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 72, 73, 75, 77], "duplic": [3, 11, 17, 43, 57, 67, 71], "multiset_eq": 3, "repeat": [3, 17, 25, 43, 44, 52, 55, 57, 58, 59, 66, 67], "request": [3, 14, 17, 25, 43, 51, 64], "unclear": [3, 10, 54], "analog": [3, 17, 34, 54, 57, 58, 66], "crelat": 3, "cmorphism": [3, 17], "cequival": 3, "rewriterel": [3, 17, 57], "index": [3, 13, 17, 24, 25, 26, 27, 29, 39, 40, 44, 52, 58, 60, 64, 66, 67, 73, 75], "iff": [3, 17, 26, 27, 31, 57, 59, 71], "impl": [3, 5, 59], "flip": [3, 17], "pointwis": 3, "simpli": [3, 4, 11, 13, 14, 17, 24, 31, 39, 54, 55, 57, 59, 62, 67, 71, 75], "machineri": [3, 17, 57], "infer": [3, 4, 9, 10, 13, 14, 24, 25, 26, 34, 37, 40, 41, 42, 45, 46, 51, 57, 58, 60, 62, 67, 71], "face": [3, 17, 75], "situat": [3, 4, 11, 17, 46, 54, 57, 71], "instanti": [3, 10, 13, 14, 17, 24, 34, 35, 43, 44, 54, 55, 57, 58, 60, 62, 67, 71], "discharg": [3, 14, 17, 24, 25, 28, 38, 72], "That": [3, 27, 29, 30, 34, 36, 52, 54, 55, 58, 64, 66], "variou": [3, 16, 17, 24, 25, 28, 29, 34, 44, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 71], "hint": [3, 13, 14, 17, 24, 25, 27, 35, 38, 54, 62, 64, 75], "databas": [3, 13, 17, 25, 54, 57, 62, 64], "refl": [3, 17], "sym": [3, 17, 44], "tran": [3, 17], "id": [3, 4, 9, 10, 14, 17, 24, 26, 34, 35, 42, 44, 51, 52, 53, 54, 55, 57, 58, 64, 66, 71, 75], "equivalence_reflex": [3, 59], "equivalence_symmetr": [3, 59], "equivalence_transit": 3, "amount": [3, 5, 8, 14, 17, 51, 54, 58], "relationclass": [3, 17, 64], "further": [3, 17, 30, 35, 41, 51, 52, 54, 55, 57, 64, 66, 67, 71], "explan": [3, 13, 37, 45, 51, 58, 59, 67], "encod": [3, 13, 17, 24, 25, 27, 34, 53, 71, 75], "car": 3, "eq_rel": 3, "eq_rel_rel": 3, "eq_rel_reflex": 3, "eq_rel_symmetr": 3, "eq_rel_transit": 3, "x2": [3, 27, 42, 59, 60, 72], "apply_mor": 3, "setoid_": [3, 17], "moreov": [3, 5, 17, 28, 44, 46, 51, 52, 57, 62, 71], "unprefix": 3, "fall": [3, 9, 10, 13, 24, 53], "back": [3, 9, 14, 17, 24, 51, 52, 54, 57, 59, 66, 67], "involv": [3, 4, 9, 12, 17, 24, 25, 26, 34, 41, 42, 51, 52, 53, 54, 57, 59, 60, 62, 64, 67], "pass": [3, 5, 8, 10, 12, 17, 24, 37, 38, 42, 51, 52, 53, 54, 55, 57, 60, 64, 66, 67, 71, 75], "etransit": [3, 17, 43, 64], "one_term_with_bind": [3, 58, 64, 67, 72], "rewrite_occ": [3, 64], "int_or_var": [3, 54, 66, 71], "ltac_expr3": [3, 29, 54, 58, 64, 66], "defaultrel": 3, "By": [3, 4, 5, 11, 12, 13, 14, 17, 29, 37, 44, 46, 51, 53, 54, 55, 57, 60, 64, 66, 67, 71], "recent": [3, 24, 25, 53, 71], "environ": [3, 8, 9, 11, 12, 13, 14, 17, 24, 25, 26, 28, 30, 31, 32, 34, 35, 38, 42, 43, 52, 53, 55, 57, 60, 62, 64, 66, 67, 71, 72, 75], "simul": [3, 17, 24, 57, 66], "understand": [3, 5, 10, 12, 15, 17, 24, 25, 29, 33, 51, 53, 54, 55, 59, 60], "congruenc": [3, 12, 17, 24, 25, 34, 54, 62, 64, 67], "pack": [3, 42, 53], "slightli": [3, 17, 24, 35, 51, 52, 54, 55, 57, 58, 67], "permut": [3, 17, 25, 55, 57], "bi": 3, "implic": [3, 17, 26, 27, 28, 42, 54, 57, 60, 66, 67, 71], "port": [3, 17, 24, 55, 72], "semant": [3, 11, 13, 14, 17, 24, 25, 26, 29, 35, 36, 39, 41, 44, 53, 54, 57, 58, 71, 77], "limit": [3, 5, 9, 10, 13, 14, 17, 24, 25, 29, 35, 41, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 71, 72], "lift": [3, 12, 14, 17], "were": [3, 11, 13, 17, 24, 34, 35, 36, 38, 42, 44, 51, 53, 54, 55, 59, 60, 66, 71, 72, 75], "discuss": [3, 17, 24, 25, 54], "setoid_rewrit": [3, 17, 24, 60, 64], "head": [3, 10, 13, 14, 17, 24, 26, 30, 35, 41, 42, 44, 53, 54, 55, 57, 58, 59, 60, 64, 67, 71], "constr": [3, 5, 14, 17, 24, 34, 42, 54, 55, 57, 71], "bind": [3, 9, 10, 14, 17, 24, 25, 28, 32, 34, 35, 37, 40, 43, 44, 46, 51, 54, 57, 64, 66, 67, 72], "construct": [3, 4, 5, 8, 9, 10, 11, 13, 14, 17, 25, 27, 28, 29, 30, 31, 33, 35, 41, 42, 43, 46, 52, 53, 55, 57, 58, 62, 63, 64, 65, 66, 67, 71, 77], "ex": [3, 17, 24, 27, 44, 58, 67, 71], "existenti": [3, 6, 9, 10, 13, 17, 24, 25, 26, 34, 41, 45, 54, 58, 59, 60, 64, 66, 67], "morphisms_prop": [3, 17], "all_iff_morph": 3, "pointwise_rel": 3, "simpl_rel": [3, 17], "predic": [3, 9, 17, 24, 25, 26, 27, 30, 34, 40, 42, 54, 60, 64, 77], "onc": [3, 8, 9, 10, 11, 13, 14, 17, 24, 25, 27, 32, 34, 41, 42, 44, 46, 51, 53, 55, 57, 58, 59, 60, 64, 66, 67, 71, 72], "implicitli": [3, 13, 14, 17, 24, 34, 51, 55, 59, 60, 64], "inde": [3, 4, 11, 12, 13, 14, 17, 25, 26, 29, 30, 34, 35, 40, 41, 42, 43, 44, 46, 53, 54, 55, 57, 58, 60, 64, 66, 67, 71, 72], "surround": [3, 17, 44, 57, 59, 71], "whatev": [3, 44, 64, 75], "map_morph": 3, "eqa": [3, 13], "eqb": [3, 5, 13, 17, 36, 59], "list_equiv": 3, "parameter": [3, 5, 11, 14, 17, 24, 25, 28, 37, 40, 54], "captur": [3, 17, 34, 44, 57, 64, 71], "bound": [3, 5, 6, 7, 10, 14, 17, 24, 25, 26, 28, 31, 32, 34, 39, 41, 42, 44, 46, 52, 54, 55, 57, 58, 59, 60, 62, 64, 72], "With": [3, 4, 13, 14, 17, 46, 53, 57, 58, 67, 71], "subterm": [3, 9, 10, 11, 17, 24, 25, 31, 34, 41, 54, 55, 57, 58, 59, 64, 66, 67, 71, 72], "almost": [3, 17, 57, 67, 75], "recov": [3, 8, 14, 17, 30, 46, 51, 54, 67], "smaller": [3, 11, 14, 17, 32, 33, 34, 53, 58, 62, 67, 72], "dual": [3, 9, 24, 55], "why": [3, 11, 17, 34, 37, 43, 55], "conjunct": [3, 5, 11, 17, 24, 34, 57, 59, 60, 67, 71], "suffici": [3, 5, 11, 13, 53], "aris": [3, 9, 13, 17, 30, 67, 71], "through": [3, 4, 12, 17, 24, 28, 29, 30, 32, 34, 35, 36, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72, 73, 74], "prime": [3, 17, 29, 34, 57], "space": [3, 17, 29, 52, 53, 57, 59, 66, 71, 74, 75], "rewrite_strat": [3, 17], "rule": [3, 4, 5, 11, 12, 13, 14, 17, 24, 25, 29, 32, 33, 35, 36, 37, 39, 41, 42, 44, 46, 51, 53, 54, 55, 58, 59, 60, 62, 66, 67, 77], "slow": [3, 11, 17, 53, 54, 55], "down": [3, 14, 24, 25, 45, 51, 52, 54, 55, 57, 59], "wherea": [3, 17, 29, 54, 55, 57, 58, 62, 74], "opaqu": [3, 6, 8, 9, 14, 17, 24, 25, 31, 32, 35, 38, 51, 57, 59, 60, 64, 66, 67, 71, 75], "caus": [3, 8, 12, 14, 17, 32, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 66, 71, 75], "miss": [3, 5, 10, 13, 17, 24, 35, 43, 51, 52, 55, 57, 58, 62, 64, 71, 75], "configur": [3, 8, 17, 24, 25, 29, 40, 51, 52, 59, 64, 66, 73], "transpar": [3, 4, 6, 9, 14, 17, 24, 25, 31, 32, 35, 37, 41, 51, 54, 55, 57, 59, 60, 64, 66, 67, 75], "unif": [3, 10, 13, 17, 24, 25, 37, 40, 42, 43, 54, 60, 64, 71], "eauto": [3, 17, 25, 43, 54, 57, 60], "individu": [3, 17, 53, 55, 64, 67, 71], "double_f": 3, "unifi": [3, 12, 13, 14, 17, 34, 41, 42, 43, 54, 57, 58, 64, 66], "assert_succe": [3, 17, 25], "bottomup": 3, "hide": [3, 17, 25, 34, 41, 44, 57, 58, 66, 71], "side": [3, 10, 13, 14, 17, 24, 25, 27, 32, 34, 35, 38, 43, 52, 54, 55, 57, 58, 60, 62, 64, 67, 71], "behind": [3, 4, 17, 28, 34, 57], "assert_fail": [3, 17, 25], "disallow": [3, 12, 14, 17, 37, 51], "substitut": [3, 10, 11, 17, 24, 25, 26, 34, 38, 46, 51, 55, 57, 58, 64, 67, 71], "distinct": [3, 9, 13, 17, 26, 34, 42, 44, 46, 53, 54, 55, 57, 60, 64, 67, 71], "eq_refl": [3, 5, 9, 11, 12, 13, 14, 17, 27, 40, 64, 66, 67, 71], "resolv": [3, 9, 13, 14, 17, 35, 43, 52, 55, 57, 58, 59, 60, 64, 66, 67, 71], "treat": [3, 9, 12, 13, 17, 29, 46, 53, 54, 57, 59, 60, 62, 64, 67, 71, 72], "lot": [3, 11, 17, 24, 52, 55], "tri": [3, 4, 5, 9, 13, 14, 17, 34, 35, 41, 46, 52, 53, 54, 55, 57, 58, 59, 60, 62, 66, 67], "speed": [3, 13, 17, 24, 34, 64], "abbrevi": [3, 4, 5, 13, 14, 17, 24, 25, 27, 32, 35, 38, 59, 74], "typeclass_inst": [3, 13, 17, 60], "strat": 3, "rewstrategi": [3, 17], "conclus": [3, 11, 13, 17, 24, 28, 34, 54, 55, 57, 58, 60, 64, 66, 67, 71], "noth": [3, 17, 38, 41, 51, 54, 55, 57, 58, 60, 62, 64, 66, 67], "didn": [3, 17, 51, 53], "progress": [3, 17, 24, 25, 51, 52, 55, 60, 66, 77], "succeed": [3, 17, 54, 59, 72], "unabl": [3, 14, 34, 43, 46, 53, 57, 58, 59, 66, 67], "basic": [3, 9, 11, 17, 24, 25, 32, 33, 34, 35, 37, 40, 42, 44, 46, 51, 58, 59, 60, 63, 66, 67, 73], "db": [3, 17], "topdown": 3, "creat": [3, 8, 9, 13, 17, 24, 25, 29, 34, 38, 40, 42, 51, 52, 53, 54, 57, 58, 59, 64, 66, 67, 72, 75], "procedur": [3, 4, 11, 17, 24, 25, 54, 57, 60, 62, 64, 77], "programm": [3, 24, 25, 65], "visser": [3, 77], "et": [3, 24, 77], "al": [3, 57], "lv97": [3, 77], "vbt98": [3, 77], "core": [3, 13, 17, 24, 25, 27, 29, 41, 45, 51, 57, 59, 60, 62, 65, 71], "stratego": [3, 77], "transform": [3, 4, 11, 17, 29, 57, 58, 66, 67, 77], "languag": [3, 9, 11, 14, 26, 29, 36, 37, 39, 40, 41, 46, 53, 54, 63, 64, 65, 66, 74, 75, 77], "vis01": [3, 77], "rewstrategy1": [3, 17], "choic": [3, 17, 27, 34, 51, 52, 55, 62, 71, 75], "rewstrategy0": 3, "eval": [3, 5, 12, 14, 17, 24, 25, 29, 30, 31, 32, 35, 37, 42, 51, 52, 53, 55, 59], "red_expr": [3, 17, 32, 54, 64], "fold": [3, 17, 37, 57], "failur": [3, 8, 13, 14, 17, 24, 25, 46, 53, 55, 57, 59, 60, 62, 64, 71, 77], "catch": [3, 17, 25, 42, 46, 57], "zero": [3, 7, 11, 17, 26, 27, 37, 42, 46, 53, 54, 55, 58, 59, 60, 64], "nest": [3, 9, 17, 24, 25, 29, 32, 35, 38, 40, 54, 57, 58, 59, 64, 66, 71, 75], "andbc": [3, 57], "bottom": [3, 17, 37, 46, 52, 54, 55, 58, 64, 71], "top": [3, 8, 10, 12, 13, 14, 17, 24, 25, 29, 35, 37, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71, 73, 75], "oper": [3, 5, 9, 10, 11, 14, 17, 24, 25, 27, 32, 34, 36, 51, 52, 54, 55, 57, 60, 64, 66, 67, 71], "texttt": 3, "conceptu": [3, 34], "straightforward": [3, 55], "root": [3, 17, 25, 27, 46, 51], "iter": [3, 5, 13, 17, 25, 26, 28, 30, 71], "consider": [3, 9, 17, 37, 39, 46, 64, 67, 71], "stop": [3, 5, 12, 17, 24, 32, 38, 52, 54, 57, 71], "Their": [3, 17, 32, 34, 39, 55, 57, 59, 71], "mani": [3, 8, 11, 13, 14, 17, 24, 25, 27, 29, 33, 34, 35, 39, 42, 51, 52, 53, 54, 55, 57, 58, 60, 64, 66, 71, 73], "stronger": [3, 12, 17, 34], "interpret": [3, 5, 9, 11, 13, 17, 24, 25, 27, 29, 32, 34, 35, 41, 44, 51, 52, 53, 54, 55, 59, 75], "ssrbool": [3, 17, 57], "ssrmatch": [3, 17, 57], "scope": [3, 5, 11, 17, 24, 25, 27, 29, 32, 36, 38, 43, 45, 52, 54, 55, 57, 59, 60, 64, 66], "bool_scop": [3, 17, 41, 71], "abort": [3, 11, 17, 34, 42, 44, 54, 55, 57, 64, 66, 67], "amokran": [4, 24], "sa\u00efbi": [4, 24], "prover": [4, 5, 15, 17, 24, 26, 29, 31, 33, 52, 55, 59, 65, 73, 75, 76], "power": [4, 5, 11, 17, 24, 54, 57, 67, 71, 72], "our": [4, 5, 7, 11, 17, 24, 34, 35, 54], "determin": [4, 13, 17, 31, 34, 36, 40, 41, 43, 53, 54, 57, 58, 64, 66, 67, 71, 72, 75], "appropri": [4, 13, 14, 17, 29, 53, 55, 57, 59, 62, 64, 66, 67, 75], "sens": [4, 24, 26, 30, 54, 55, 57, 71], "subtyp": [4, 9, 14, 17, 25, 31, 35, 39, 77], "certain": [4, 11, 17, 24, 29, 44, 46, 51, 54, 57, 58, 59, 64, 67, 71], "categori": [4, 8, 13, 17, 35, 51, 59, 61, 74, 75], "biject": [4, 17], "morphism": [4, 11, 17, 25, 59, 71], "famili": [4, 14, 17, 24, 25, 34, 40, 54, 55, 63, 67, 71], "coercion_class": [4, 71], "user": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 17, 25, 29, 32, 33, 34, 35, 36, 37, 39, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77], "sortclass": [4, 17, 57, 71], "funclass": [4, 17, 41, 71], "formal": [4, 6, 10, 17, 24, 25, 26, 29, 31, 32, 34, 37, 39, 41, 51, 55, 57, 67, 77], "don": [4, 10, 13, 14, 17, 28, 34, 35, 37, 46, 52, 53, 54, 57, 58, 60, 62, 64, 66], "confus": [4, 10, 13, 17, 24, 26, 29, 34, 44, 46, 52, 55, 57, 71], "target": [4, 11, 17, 25, 51, 58, 71], "x\u2081": 4, "a\u2081": 4, "x\u2096": 4, "a\u2096": 4, "v\u2081": 4, "v\u2099": [4, 55], "u\u2081": 4, "u\u2098": 4, "new": [4, 5, 6, 8, 10, 13, 14, 15, 25, 27, 29, 31, 32, 34, 36, 37, 39, 42, 43, 46, 51, 52, 54, 55, 58, 59, 60, 61, 64, 66, 67, 71, 72, 73, 75, 77], "ignor": [4, 13, 14, 17, 24, 29, 31, 34, 35, 44, 51, 52, 53, 54, 57, 58, 60, 64, 66, 71], "exactli": [4, 10, 11, 13, 17, 26, 27, 34, 40, 42, 44, 46, 51, 52, 54, 55, 57, 59, 66, 67, 71], "uniform": [4, 17, 24, 34, 40, 44, 54, 55], "recommend": [4, 8, 13, 14, 15, 17, 32, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66, 67, 72, 74, 75], "guarante": [4, 14, 17, 51, 52, 53, 55], "spuriou": [4, 17, 57, 71], "coerc": [4, 41, 57, 60, 64], "t\u2081": 4, "t\u2099": 4, "toward": [4, 17, 53], "intuit": [4, 11, 17, 24, 29, 55, 58, 62], "synthes": [4, 17, 24, 27, 28, 42, 46, 77], "precis": [4, 8, 13, 17, 24, 26, 29, 31, 33, 34, 35, 37, 39, 46, 51, 57, 64, 71], "doesn": [4, 14, 17, 29, 31, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 62, 66, 67, 71, 73], "look": [4, 8, 9, 11, 13, 14, 16, 17, 25, 51, 53, 54, 55, 57, 58, 59, 60, 66, 67, 71, 72, 75], "incom": [4, 17], "necessarili": [4, 46, 67, 72], "semi": [4, 11, 17], "lattic": 4, "forget": [4, 11, 37, 55, 59, 60, 67], "harder": [4, 17, 58], "There": [4, 9, 10, 11, 14, 17, 24, 25, 26, 27, 28, 29, 34, 37, 38, 39, 40, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 71, 72, 75], "subclass": [4, 10, 13, 27, 39, 42, 59], "oldest": [4, 17], "notat": [4, 5, 9, 10, 11, 14, 24, 25, 26, 28, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 45, 46, 51, 52, 53, 57, 58, 60, 64, 67, 73, 74, 75, 77], "f\u2081": 4, "f\u2096": 4, "ident_decl": [4, 9, 13, 28, 30, 32, 34, 37, 38, 40, 42, 59], "def_bodi": [4, 32, 38, 42], "unspecifi": [4, 14, 17, 43, 55, 62, 67], "ye": [4, 9, 11, 14, 17, 29, 34, 37, 42, 51, 53, 59, 67], "field": [4, 5, 7, 12, 13, 14, 17, 24, 25, 42, 51, 53, 55, 59, 61, 74], "nonuniform": [4, 17], "silenc": [4, 17, 24, 41, 46, 57, 62, 74], "18": [4, 13, 25, 57, 58, 59, 60, 64], "futur": [4, 9, 10, 13, 14, 17, 32, 41, 51, 52, 53, 57, 62, 66, 71, 77], "ambigu": [4, 17, 25, 46, 53, 57, 59, 60, 66, 71], "yield": [4, 11, 17, 24, 31, 46, 54, 55, 58, 67, 71], "f\u2099": 4, "report": [4, 8, 12, 17, 24, 29, 52, 54, 55, 59, 64, 72, 77], "definition": [4, 12, 17, 31, 32, 35, 37, 64], "circular": [4, 17, 57], "assumpt": [4, 10, 17, 24, 25, 26, 32, 33, 34, 35, 36, 44, 51, 52, 53, 54, 58, 59, 60, 66, 67, 77], "induct": [4, 5, 9, 10, 11, 12, 13, 14, 17, 24, 25, 27, 29, 30, 31, 32, 33, 35, 37, 41, 42, 44, 52, 54, 55, 57, 58, 59, 60, 62, 64, 65, 66, 73, 75, 77], "of_typ": [4, 17, 28], "src": [4, 53], "dest": [4, 17], "x\u2099": [4, 55], "t\u2098": 4, "word": [4, 14, 17, 30, 42, 51, 52, 53, 55, 58, 66], "context": [4, 5, 9, 10, 11, 14, 17, 24, 25, 26, 29, 30, 31, 32, 34, 35, 38, 41, 43, 44, 51, 52, 59, 60, 62, 64, 66, 67, 71], "forc": [4, 8, 11, 17, 24, 34, 42, 44, 52, 53, 54, 57, 60, 64, 66, 67, 71], "updat": [4, 8, 15, 17, 24, 36, 37, 46, 52, 53, 58, 59, 67, 71], "last": [4, 5, 9, 17, 24, 32, 34, 35, 37, 38, 42, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 65, 66, 67, 71, 72], "record_definit": [4, 13, 30, 34, 37], "redefin": [4, 17, 54, 55, 57, 66, 71, 75], "forgotten": [4, 54], "atom": [4, 5, 8, 14, 17, 26, 60, 62, 67, 71], "bool_in_nat": 4, "unset": [4, 5, 12, 14, 17, 24, 25, 34, 35, 37, 38, 42, 44, 46, 51, 54, 55, 57, 59, 66, 67, 71], "none": [4, 5, 13, 17, 24, 27, 34, 40, 42, 46, 51, 54, 55, 57, 66, 71], "remark": [4, 17, 24, 25, 32, 34], "co": [4, 10, 11, 17, 24, 25, 42, 44, 54, 57, 59, 64, 67, 71, 77], "fg": 4, "bij": 4, "ap": [4, 11], "ssort": 4, "sstuff": 4, "s_nat": 4, "compar": [4, 5, 11, 14, 17, 24, 25, 37, 42, 53, 54, 55, 57, 58, 64, 66, 67, 73], "fct": 4, "incr_fct": 4, "fct_of_incr_fct": 4, "illeg": 4, "id_fct_funclass": 4, "reverse_coercion": [4, 17], "reversecoercionsourc": 4, "reversecoerciontarget": 4, "fr\u00e9d\u00e9ric": [5, 17, 57], "besson": [5, 17], "evgeni": [5, 17], "makarov": [5, 17], "mathbb": [5, 7, 17], "lqa": 5, "incomplet": [5, 8, 10, 17, 24, 46, 58, 66, 67, 71], "option": [5, 8, 9, 10, 11, 13, 14, 16, 24, 25, 26, 27, 34, 35, 38, 40, 42, 44, 46, 50, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 67, 71, 74], "john": [5, 77], "harrison": 5, "hol": 5, "light": [5, 17, 24, 52, 66, 75], "driver": 5, "csdp": 5, "gener": [5, 7, 8, 9, 12, 13, 17, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 43, 46, 51, 52, 53, 58, 59, 60, 61, 62, 64, 66, 75, 77], "cach": [5, 12, 17], "rerun": 5, "script": [5, 8, 17, 24, 25, 35, 42, 43, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 73], "info": [5, 17, 54, 60], "dump": [5, 17, 24, 51, 75], "arith": [5, 11, 17, 24, 53, 59, 60, 72], "profil": [5, 17, 25, 53, 59, 64], "statist": [5, 17, 66], "pivot": 5, "detect": [5, 8, 17, 25, 41, 44, 52, 53, 57, 66], "ineffici": [5, 17, 24, 57], "formula": [5, 7, 26, 57, 58, 62, 77], "numer": [5, 11, 17, 24, 27, 29, 59, 71], "subtract": [5, 57], "exponenti": [5, 17, 29], "implb": [5, 17, 27], "negb": [5, 13, 27, 62, 71], "comparison": [5, 14, 17, 24, 42], "gtb": 5, "ltb": [5, 17, 59], "geb": 5, "leb": [5, 9, 17, 57, 59], "rather": [5, 11, 13, 17, 24, 29, 30, 34, 35, 53, 54, 55, 57, 58, 59, 64, 67, 71], "resp": [5, 17, 34, 36, 46, 57], "rang": [5, 17, 26, 29, 52, 55, 58, 71], "r0": [5, 17], "rmult": [5, 11], "rplu": 5, "rminu": 5, "izr": [5, 17, 71], "q2r": [5, 57], "rinv": 5, "decim": [5, 17, 27, 29, 59, 71], "hilbert": [5, 7, 17], "nullstellensatz": [5, 7, 17], "reli": [5, 17, 24, 30, 32, 33, 34, 38, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 66, 67, 71], "notion": [5, 11, 17, 24, 25, 26, 27, 33, 34, 46, 51, 54, 55, 58, 64, 71, 77], "cone": [5, 17], "polynomi": [5, 7, 17, 24, 25, 61], "mathit": [5, 26, 34], "under": [5, 9, 11, 17, 25, 32, 40, 44, 46, 52, 53, 54, 55, 59, 64, 66, 67], "dfrac": 5, "quad": 5, "p_1": [5, 7, 34, 35], "p_2": [5, 35], "join": [5, 17, 24], "inequ": [5, 17, 24, 60], "belong": [5, 8, 11, 26, 29, 34, 37, 39, 53, 54, 57, 59, 60, 63, 67, 71, 75], "bigwedge_": 5, "ge": [5, 17, 27], "unsatisfi": [5, 60], "neg": [5, 17, 29, 30, 37, 64, 66, 71], "absurd": [5, 27, 34, 51, 58], "squar": [5, 17, 24, 44, 54, 59, 71, 75], "bigwedge_i": 5, "c_i": [5, 34, 35], "j": [5, 6, 8, 14, 17, 24, 25, 26, 34, 36, 39, 43, 51, 54, 57, 64, 72, 77], "s_i": [5, 7, 34], "p_j": [5, 34], "oracl": 5, "within": [5, 17, 24, 28, 29, 31, 33, 35, 37, 38, 41, 42, 44, 51, 52, 54, 55, 58, 59, 60, 64, 66, 71], "upon": [5, 11, 36, 43, 51], "equat": [5, 6, 14, 17, 24, 25, 27, 34, 40, 42, 46, 53, 55, 58, 60, 61, 64, 67, 72], "explor": [5, 17, 59], "subset": [5, 9, 17, 24, 25, 34, 39, 44, 55, 57, 58, 66, 71, 77], "lincon": 5, "sum_": [5, 7, 57], "alpha_p": 5, "deduct": [5, 24, 57], "overlap": [5, 17, 42, 46, 53, 57, 59, 66], "xlra": 5, "ltac_expr": [5, 9, 11, 29, 54, 55, 60, 62, 64, 66, 71], "wlra": 5, "advanc": [5, 17, 25, 33, 34, 42, 53, 54, 58, 64, 71, 74], "coq_micromega": 5, "mli": [5, 17, 53], "decid": [5, 8, 11, 17, 24, 25, 29, 34, 51, 53, 55, 57, 60, 71], "mathtt": 5, "remedi": [5, 17], "weak": [5, 17, 25, 27, 35, 55, 64, 67, 71], "account": [5, 9, 13, 14, 17, 24, 26, 34, 37, 41, 44, 54, 57, 60, 67, 71], "discret": 5, "round": [5, 17, 53], "ceil": 5, "rightarrow": [5, 7, 26, 75], "lceil": 5, "rceil": 5, "deduc": [5, 17, 44, 51, 57, 58, 67], "lfloor": 5, "rfloor": 5, "conclud": [5, 13, 17, 34, 54, 57, 64, 67], "exhibit": 5, "equiv": [5, 34, 39], "enumer": [5, 17, 34, 40], "c_1": [5, 26, 34, 35], "c_2": 5, "bigvee_": 5, "subgoal": [5, 11, 13, 17, 24, 25, 54, 57, 58, 60, 62, 64, 67], "enrich": [5, 17, 24, 26, 27, 67], "xlia": 5, "wlia": 5, "experiment": [5, 10, 12, 14, 17, 24, 51, 53, 54, 62, 66, 67, 71, 72], "monomi": [5, 11], "e_1": [5, 35], "e_2": [5, 35], "xnra": 5, "wnra": 5, "xnia": 5, "wnia": 5, "nat_or_var": [5, 13, 17, 54, 58, 60, 67], "degre": [5, 73], "provabl": [5, 11, 17, 34, 39, 57, 58, 66], "eventu": [5, 17, 34, 42, 43, 52, 54, 55, 57, 58, 60, 66], "approxim": [5, 12, 14, 17, 60], "optim": [5, 9, 17, 24, 25, 36, 58, 64, 66, 77], "techniqu": [5, 9, 30, 42, 57, 59, 62, 67], "illustr": [5, 17, 34, 46, 57, 60, 64], "zarith": [5, 11, 17, 24, 29, 53, 60], "z_scope": [5, 11, 17, 71], "shown": [5, 9, 13, 14, 17, 27, 29, 31, 34, 37, 38, 42, 43, 51, 52, 53, 54, 57, 58, 59, 60, 66, 71, 75], "xso": 5, "xpsatz": 5, "wso": 5, "wpsatz": 5, "zifybool": [5, 17], "zifycomparison": 5, "unsign": [5, 17, 36], "63": [5, 17, 29, 36, 71], "zifyuint63": 5, "sign": [5, 8, 11, 17, 29, 36, 46, 52, 53, 60], "zifysint63": 5, "pow": [5, 17, 59], "zifynat": [5, 17], "zifyn": [5, 17], "rebind": [5, 17, 52], "zify_pre_hook": [5, 17], "zify_post_hook": [5, 17], "divid": [5, 15, 17, 24, 58], "ltac": [5, 13, 24, 25, 35, 38, 43, 52, 53, 57, 58, 59, 60, 62, 63, 64, 66, 67, 71, 74, 77], "divide_to_equ": 5, "div_mod_to_equ": [5, 17], "rem": [5, 17], "quot_rem_to_equ": [5, 17], "to_euclidean_division_equ": [5, 17], "zify_convert_to_euclidean_division_equations_flag": 5, "pose": [5, 17, 24, 34, 54, 55, 57, 58, 67], "characterist": 5, "euclidean_division_equations_cleanup": [5, 17], "imposs": [5, 17, 34, 46, 53, 58, 67], "presuppos": [5, 75], "euclidean_division_equations_find_duplicate_quoti": 5, "q1": [5, 10, 13, 46, 57], "q2": [5, 10, 57], "relat": [5, 6, 7, 9, 10, 11, 13, 14, 17, 24, 25, 26, 27, 31, 34, 35, 40, 41, 42, 44, 51, 52, 53, 57, 58, 59, 60, 64, 67, 71, 72, 75], "zifyclass": [5, 17, 57], "zifyinst": 5, "add_zifi": 5, "injtyp": [5, 17], "binop": 5, "unop": 5, "cstop": 5, "binrel": 5, "unopspec": [5, 17], "binopspec": [5, 17], "propop": 5, "propbinop": 5, "propuop": 5, "satur": [5, 17], "show_zifi": 5, "spec": [5, 17], "elim": [5, 17, 24, 25, 54, 58, 67], "op": [5, 42, 44, 53, 57, 66, 71], "qarith": [5, 17], "q_scope": [5, 71], "micromega_cor": [5, 11, 29, 54, 55, 57, 60], "example_lra": 5, "hood": [5, 17], "curiou": 5, "own": [5, 10, 17, 24, 25, 35, 42, 44, 54, 57, 59, 60, 62, 66, 67, 75], "mathemat": [5, 17, 24, 25, 29, 34, 37, 51, 52, 57, 64, 66, 75, 77], "speak": [5, 11], "land": [5, 17, 59, 71], "p_0": 5, "2y": 5, "2x": [5, 11], "ringmicromega": 5, "qmicromega": 5, "envr": 5, "tauto": [5, 17, 24, 34, 54, 62], "__arith": 5, "__x2": 5, "__x1": 5, "__wit": 5, "psatzadd": 5, "psatzin": 5, "psatzmul": 5, "psatzc": 5, "__varmap": 5, "varmap": 5, "elt": 5, "__ff": 5, "isprop": 5, "flh": 5, "peadd": [5, 11], "pex": [5, 11], "pemul": [5, 11], "pec": [5, 11], "fop": 5, "opl": 5, "frh": 5, "tt": [5, 13, 14, 17, 27, 40, 46, 54, 57], "oplt": 5, "qtautochecker_sound": 5, "qtautocheck": 5, "_q_scope": 5, "reifi": [5, 17], "stand": [5, 10, 17, 24, 26, 28, 34, 53, 71], "wit": [5, 14, 17, 24, 27, 39, 55, 64], "ff": 5, "bformula": 5, "unfold": [5, 9, 13, 14, 17, 24, 25, 31, 32, 34, 37, 54, 55, 57, 60, 62, 66, 71], "wlra_q": 5, "qwit": 5, "eval_bf": 5, "qeval_formula": 5, "vm_comput": [5, 17, 25, 32, 36, 51, 58], "coin": 5, "variant": [5, 13, 14, 17, 24, 25, 27, 28, 29, 32, 33, 34, 35, 37, 38, 42, 51, 54, 55, 59, 60, 63, 64, 66, 67, 71, 72], "extens": [6, 9, 10, 11, 12, 14, 17, 25, 26, 29, 32, 41, 42, 52, 53, 59, 62, 63], "style": [6, 17, 24, 25, 30, 37, 52, 55, 57, 62, 67], "bird": 6, "meerten": 6, "refin": [6, 13, 14, 17, 24, 27, 30, 32, 34, 35, 38, 43, 46, 52, 54, 55, 57, 58, 66, 71], "open_bind": [6, 28, 58, 64], "suchthat": [6, 17], "ident__i": 6, "shelv": [6, 13, 17, 25, 43, 57, 58, 60], "visibl": [6, 17, 24, 38, 52, 57, 60, 66, 71, 75], "mul_add_distr_l": 6, "focus": [6, 17, 25, 43, 55, 57, 58, 59, 60], "goal0": [6, 43, 58, 66], "rewrit": [6, 11, 14, 17, 24, 25, 33, 34, 35, 52, 54, 55, 58, 59, 60, 61, 77], "_nat_scop": [6, 31, 34, 38, 46, 57, 66], "execut": [6, 17, 24, 25, 29, 36, 51, 52, 53, 55, 57, 59, 64, 66, 67, 71], "obsolet": [6, 17, 24, 51, 58], "avoid": [6, 8, 11, 12, 13, 17, 24, 25, 29, 34, 37, 52, 54, 55, 57, 58, 59, 60, 64, 66, 67, 71, 74], "lo\u00efc": [7, 17, 24], "pottier": [7, 17, 24, 57], "tactic": [7, 8, 9, 10, 13, 16, 25, 26, 29, 30, 31, 32, 33, 34, 35, 38, 40, 41, 46, 51, 52, 53, 59, 62, 65, 66, 73, 75], "altern": [7, 8, 9, 11, 13, 17, 24, 25, 29, 30, 35, 40, 43, 44, 46, 52, 53, 55, 57, 59, 62, 64, 65, 66, 71, 75, 77], "prefer": [7, 17, 25, 34, 51, 53, 57, 58, 59, 62, 66, 71], "nsatztact": [7, 17], "ring": [7, 17, 24, 25, 29, 37, 54, 55, 57, 59, 60, 61, 62, 72], "radicalmax": 7, "strategi": [7, 9, 13, 17, 24, 25, 26, 55, 57, 59, 60, 71, 77], "x_1": [7, 26, 34, 35], "x_n": 7, "q_1": [7, 34], "p_": [7, 34], "q_": 7, "commut": [7, 11, 17, 24, 44, 59], "divisor": [7, 17], "exampl": [7, 8, 9, 13, 24, 25, 32, 36, 45], "setoid": [7, 10, 11, 17, 24, 25, 42, 57], "wedg": 7, "introduct": [7, 13, 17, 24, 30, 34, 62, 67, 71], "buchberg": [7, 24, 77], "gmn": [7, 77], "91": [7, 60, 77], "revers": [7, 15, 17, 25, 34, 41, 57, 58, 60, 66], "lexicograph": [7, 11, 53], "newest": [7, 54, 55], "x_": [7, 34], "i_1": [7, 11, 34, 35], "i_k": [7, 34, 35], "among": [7, 13, 17, 24, 25, 26, 34, 44, 53, 54, 55, 57, 64], "ration": [7, 17, 24, 25, 37, 61, 71], "fraction": [7, 11, 17, 24, 29, 37, 57, 71], "coeffici": [7, 11, 17], "nonconst": 7, "lvar": 7, "especi": [7, 15, 17, 24, 26, 34, 44, 46, 54, 57, 60, 62, 64, 71], "geometri": [7, 24], "algebra": [7, 14, 17, 24, 39, 42, 54, 55, 64, 77], "easi": [7, 11, 13, 17, 27, 46, 52, 53, 60, 67], "p_i": [7, 34], "method": [7, 13, 17, 24, 30, 53, 59, 60, 77], "s_1": [7, 34, 35], "s_": [7, 34], "q_i": [7, 34], "achiev": [7, 11, 13, 17, 24, 54, 57, 71], "gr\u00f6bner": [7, 17], "basi": [7, 17, 52, 59], "ideal": 7, "reific": [7, 17, 64], "enrico": [8, 17, 42, 57, 77], "tassi": [8, 17, 42, 57, 77], "explain": [8, 13, 17, 24, 29, 42, 51, 52, 57, 60, 71, 72, 74], "reactiv": [8, 17, 59], "rocqid": [8, 25, 35, 51, 53, 54, 66, 76], "advantag": [8, 17, 24, 46, 51, 53, 57, 62, 64, 67], "batch": [8, 17, 25, 54, 66], "decoupl": [8, 17], "statement": [8, 9, 17, 24, 28, 32, 33, 41, 42, 44, 51, 57, 58, 59, 64, 66, 67, 71], "huge": [8, 11, 17, 54, 57, 66], "character": [8, 17, 34, 40, 42], "long": [8, 14, 17, 25, 30, 51, 52, 53, 58, 59, 67, 71], "benefici": 8, "short": [8, 14, 17, 24, 25, 31, 35, 36, 38, 51, 53, 55, 57, 59, 64, 75], "technic": [8, 17, 27, 34, 44, 51, 57, 77], "unsuit": 8, "kernel": [8, 9, 10, 12, 24, 25, 29, 32, 33, 36, 37, 38, 41, 45, 46, 53, 55, 58, 59, 64, 66], "late": [8, 17, 24, 25, 64], "At": [8, 11, 14, 24, 26, 27, 33, 34, 42, 51, 52, 54, 55, 57, 59, 60, 71, 74], "admit": [8, 9, 13, 17, 30, 32, 37, 42, 46, 51, 52, 57, 66], "window": [8, 17, 24, 51, 52, 53], "stabl": [8, 17, 24, 53], "quantifi": [8, 14, 17, 24, 25, 26, 28, 34, 39, 44, 57, 58, 62, 67], "enter": [8, 17, 25, 30, 32, 34, 35, 38, 44, 46, 52, 54, 55, 59, 60, 71], "exit": [8, 17, 25, 30, 32, 34, 38, 51, 52, 54, 59, 60, 75], "presenc": [8, 17, 24, 34, 44, 46, 57, 64, 72], "strictli": [8, 11, 14, 17, 41, 57, 71], "did": [8, 11, 17, 26, 29, 57, 58, 59, 66, 67], "auxiliari": [8, 17, 53, 54, 57, 66], "along": [8, 17, 24, 34, 53, 57, 58, 66, 74], "vo": [8, 17, 24, 25, 53, 59], "pff": 8, "2372": 8, "precisionnotzero": 8, "ftorradix": 8, "pgivesbound": 8, "radix": [8, 66], "radixmorethanon": 8, "radixmorethanzero": 8, "minim": [8, 17, 24, 25, 34, 51, 53, 57, 67], "unnecessari": [8, 17, 57, 62, 66], "unneed": [8, 17, 58], "extra": [8, 9, 17, 24, 25, 30, 34, 41, 42, 46, 53, 54, 57, 62, 64, 66, 71, 75], "attempt": [8, 14, 17, 24, 41, 52, 54, 66], "save": [8, 11, 17, 25, 35, 51, 53, 57, 66], "earlier": [8, 17, 53, 54], "accordingli": [8, 17, 40], "bail": 8, "out": [8, 17, 24, 29, 42, 52, 53, 54, 57, 58, 59, 60, 66, 71, 75], "confin": 8, "indent": [8, 17, 25, 66, 71, 75], "four": [8, 17, 25, 34, 52, 54, 55, 57, 71], "api": [8, 17, 25, 59, 63], "curli": [8, 25, 44, 59, 71], "delimit": [8, 17, 33, 35, 41, 44, 59, 66, 71, 75], "par": [8, 17, 52, 54], "selector": [8, 17, 25, 43, 53, 58, 59, 64, 66], "bullet": [8, 17, 25, 34, 59, 67], "level": [8, 13, 14, 17, 24, 25, 26, 27, 31, 35, 36, 37, 41, 42, 46, 51, 52, 53, 54, 57, 59, 64, 66, 67, 71, 72, 73, 75], "subsequ": [8, 14, 17, 29, 37, 38, 51, 54, 55, 58, 59, 66, 67, 71], "bogu": 8, "async": [8, 17, 52, 54], "recoveri": [8, 17, 52], "select": [8, 13, 17, 25, 35, 37, 41, 42, 52, 53, 54, 55, 58, 59, 60, 64, 66, 67, 71, 75, 77], "activ": [8, 9, 14, 17, 24, 25, 29, 32, 35, 37, 42, 43, 44, 46, 52, 53, 54, 59, 60, 64, 66, 71], "blocktyp": 8, "vscoq": [8, 17, 51, 53, 66], "master": [8, 17, 52, 53, 77], "feedback": [8, 17], "soon": [8, 9, 17, 24, 42, 52, 54, 57], "skip": [8, 17, 41, 42, 46, 51, 53, 54, 57, 58, 64, 66, 67], "deleg": [8, 17, 25, 29], "job": [8, 52, 53, 54, 57], "panel": [8, 17, 52, 66], "statu": [8, 12, 13, 14, 17, 51, 52, 53, 54, 57, 71], "red": [8, 17, 51, 52, 54, 64, 66], "button": [8, 17, 24, 52], "jump": [8, 17, 52, 57], "color": [8, 17, 25, 51, 52, 66, 75], "lighter": [8, 13], "lazili": [8, 17, 30, 54], "finish": [8, 13, 17, 29, 46, 54, 60, 64, 66, 67], "click": [8, 17, 52], "gear": [8, 52], "workmgr": 8, "util": [8, 17, 42, 51, 53, 57], "maximum": [8, 13, 17, 46, 60, 62, 64, 66], "background": [8, 17, 31, 51, 52, 54, 66], "assign": [8, 13, 17, 25, 27, 29, 43, 51, 52, 53, 54, 55, 58, 66, 71], "rocqworkmgr_socket": 8, "localhost": 8, "45634": 8, "shell": [8, 51, 53, 57, 59, 75], "bash": [8, 17, 52], "memori": [8, 11, 17, 24, 25, 29, 51, 53], "consumpt": [8, 17, 54, 55], "too": [8, 9, 11, 17, 54, 55, 57, 58, 67, 71], "littl": [8, 9, 11, 14, 17, 35, 57, 64], "threshold": [8, 17, 64, 71], "03": [8, 17, 53], "skeleton": 9, "rich": [9, 17, 57, 73], "soz07": [9, 77], "thought": [9, 26, 29, 63], "extract": [9, 25, 26, 27, 29, 34, 36, 51, 53, 57, 59, 71, 72, 73, 77], "regular": [9, 10, 13, 17, 36, 46, 51, 55, 57, 60, 64, 75], "whilst": 9, "desir": [9, 11, 17, 34, 52, 53, 54, 57, 59, 73, 75], "code": [9, 10, 11, 12, 17, 24, 25, 29, 33, 36, 51, 52, 53, 54, 55, 57, 59, 60, 63, 64, 71, 72, 73, 74, 75], "apparatu": 9, "pv": [9, 77], "ros98": [9, 77], "constrain": [9, 14, 24, 60, 67], "catherin": 9, "parent": [9, 17, 24, 77], "par95": [9, 77], "had": [9, 13, 17, 24, 42, 53, 54, 55, 66], "maintain": [9, 13, 17, 39, 46, 51, 53, 57, 58, 71], "permit": [9, 17, 24, 25, 34, 37, 38, 53, 54, 55, 58, 60, 64, 66, 67, 71], "coercion": [9, 13, 17, 24, 25, 28, 35, 37, 38, 41, 42, 45, 57, 58, 59, 77], "russel": [9, 17, 24], "process": [9, 11, 14, 17, 24, 25, 26, 30, 32, 35, 41, 42, 51, 52, 53, 55, 57, 58, 59, 60, 64, 66, 67, 75, 76], "plain": [9, 17, 35, 57, 75], "apart": [9, 13, 31, 35, 55], "proper": [9, 17, 24, 25, 54, 55, 59, 67], "claus": [9, 13, 14, 17, 24, 25, 28, 29, 30, 32, 34, 35, 40, 41, 51, 53, 54, 55, 57, 59, 60, 62, 64, 67, 71, 72], "disequ": [9, 60], "intersect": 9, "div2": [9, 17, 72], "coercibl": [9, 57], "deactiv": [9, 17, 24, 25, 46, 59], "mode": [9, 13, 14, 17, 24, 25, 29, 30, 32, 34, 38, 41, 46, 54, 58, 59, 60, 65, 75], "typecheck": [9, 17, 41, 51, 55, 58, 59, 64, 66], "act": [9, 17, 37, 46, 52, 54, 55, 67], "unresolv": [9, 13, 17, 57, 58, 60, 64, 67], "hole": [9, 13, 17, 24, 25, 40, 43, 46, 55, 57, 58, 59, 62, 66, 67, 71], "commonli": [9, 14, 17, 27, 40, 53, 54, 55, 57, 58, 66], "legaci": [9, 14, 17, 29, 40, 60, 71, 72], "legacy_attr": [9, 14, 29, 35, 40], "elsewher": [9, 17, 52, 59, 71], "likewis": [9, 17, 55], "reflect": [9, 11, 14, 17, 24, 25, 40, 52, 53, 62, 64, 66, 72, 77], "dec": [9, 24, 46], "sumbool_of_bool": [9, 59], "pred": [9, 17, 27, 54, 57, 59, 60, 64], "tupl": [9, 17, 37, 42, 46, 55, 57, 58], "potenti": [9, 13, 25, 42, 46, 52, 54, 55, 57, 67, 71], "preterm": [9, 17, 55], "aforement": [9, 51], "monomorph": [9, 17, 25, 29], "absenc": [9, 17, 71], "enforc": [9, 12, 14, 17, 26, 32, 34, 44, 55, 57, 58, 66, 71], "mutual": [9, 17, 24, 25, 29, 30, 32, 37, 54, 55, 67, 71, 72], "fixannot": [9, 34, 72], "measur": [9, 17, 34, 54, 72], "div2_obligation_1": 9, "heq_n": 9, "proj1_sig": [9, 17, 46, 57], "div3": 9, "p0": [9, 31, 67, 72], "heq_n0": 9, "wildcard": [9, 13, 25, 28], "program_branch_0": [9, 13], "div2_obligation_2": 9, "program_branch_1": [9, 13], "div2_obligation_3": 9, "well_found": [9, 27], "mr": 9, "recarg": 9, "pars": [9, 17, 25, 27, 29, 41, 42, 46, 51, 54, 57, 59, 60, 74, 75], "explicit": [9, 10, 13, 17, 24, 25, 28, 31, 34, 37, 39, 41, 46, 55, 58, 60, 64, 66, 67, 71], "prototyp": [9, 17, 24], "guarded": [9, 66], "rid": [9, 17, 54, 57], "unsolv": [9, 17, 43, 66], "afterward": [9, 17, 41, 44, 52, 57, 60, 66, 67], "similarli": [9, 10, 13, 14, 17, 26, 28, 36, 38, 42, 44, 46, 52, 53, 54, 55, 57, 62, 64, 71, 75], "persist": [9, 17, 24, 29, 35, 36, 38, 64, 77], "reappli": 9, "addition": [9, 13, 14, 17, 34, 46, 53, 54, 58, 59, 64, 66], "solver": [9, 17, 25, 65], "fed": [9, 17, 55], "program_simpl": 9, "wrap": [9, 12, 13, 17, 36, 38, 53], "reject": [9, 17, 26, 34, 57, 64, 67, 71], "wellfound": [9, 17], "drawback": [9, 17, 67, 71], "underli": [9, 11, 17, 24, 26, 54, 57, 67, 71], "isn": [9, 10, 17, 28, 52, 57, 58, 60, 64, 66, 67], "anymor": [9, 17, 55, 59], "highli": [10, 43, 60, 63], "mistyp": 10, "anomali": [10, 17, 24, 59], "unlik": [10, 13, 17, 24, 30, 39, 52, 54, 55, 57, 58, 59, 60, 64, 67, 71], "pplu": 10, "rewrite_rul": 10, "univ_decl": [10, 14, 28, 35], "rw_pattern": 10, "namespac": [10, 14, 17, 35, 42, 53, 59], "against": [10, 13, 17, 44, 54, 57, 58, 59, 60, 62], "align": [10, 59, 71], "collect": [10, 17, 27, 51, 53, 60, 66, 72], "pplus_rewrit": 10, "rigid": [10, 13, 14, 17, 24, 60, 72], "enough": [10, 11, 14, 17, 34, 44, 57, 58, 67, 71], "discrimine": [10, 12, 46], "furthermor": [10, 17, 24, 25, 26, 29, 31, 33, 34, 51, 52, 55, 57, 63, 66], "grammar": [10, 17, 25, 28, 29, 54, 55, 57, 58, 62, 71], "rw_head_pattern": 10, "elimin": [10, 12, 14, 17, 24, 25, 26, 27, 30, 31, 34, 35, 37, 40, 54, 55, 58, 67, 71, 72, 77], "rw_pattern_arg": 10, "univ_annot": [10, 14, 29, 37], "bear": 10, "raise_nat": 10, "93": [10, 53, 54], "118": 10, "break": [10, 12, 17, 29, 30, 52, 57, 59, 64, 66, 71, 73, 74], "subject": [10, 17, 25, 26, 30, 31, 50, 51, 72], "22": [10, 12, 54, 57], "u0": [10, 14, 46], "sr": 10, "id_rew": 10, "qualiti": [10, 14, 17], "u1": [10, 13, 14, 17, 57], "u2": 10, "superfici": 10, "typed": [10, 55], "entir": [10, 13, 17, 24, 25, 31, 33, 34, 41, 44, 52, 53, 57, 60, 64, 66, 71], "neither": [10, 14, 17, 46, 54, 55, 57, 64, 67], "nor": [10, 11, 17, 26, 34, 35, 46, 51, 52, 53, 54, 55, 57, 58, 59, 64, 67, 71], "plan": [10, 17, 25, 53, 55, 72], "triangl": [10, 52], "criterion": [10, 17, 33, 34, 60], "ctw21": [10, 77], "expans": [10, 12, 13, 17, 25, 34, 53, 55, 57, 64, 71], "contract": [10, 17, 24, 31, 34, 54, 62, 71, 77], "integr": [10, 11, 17, 24, 25, 51, 52, 57, 61, 73], "upper": [10, 14, 17, 39, 44, 52], "layer": [10, 17, 25], "notabl": [10, 17, 24, 37, 51, 55, 57, 64, 67], "machin": [10, 17, 24, 25, 32, 36, 51, 54, 55, 64], "cbn": [10, 17, 41, 64], "cbv": [10, 14, 17, 24, 31, 57, 64], "manner": [10, 24, 51], "untyp": [10, 17, 25, 55, 71], "vm": [10, 17, 58, 59, 64], "risk": [10, 17, 24, 51, 59, 66], "segfault": [10, 17], "\u03b2\u03b4\u03b9": 11, "rightarrow_": [11, 37], "delta": [11, 17, 24, 32, 35, 37, 55, 64], "leftarrow_": 11, "peeval": 11, "pphi_dev": 11, "norm": 11, "bruno": [11, 17, 24], "barra": [11, 17, 24], "benjamin": [11, 17, 77], "gr\u00e9goir": [11, 17], "assia": [11, 17, 42, 57, 77], "mahboubi": [11, 17, 42, 57, 77], "laurent": [11, 17, 24], "th\u00e9ry": [11, 17, 24], "dedic": [11, 17, 24, 29, 36, 55, 57], "semir": [11, 17], "oplu": 11, "otim": 11, "distribut": [11, 17, 24, 25, 50, 73, 75], "uniti": 11, "v_0": 11, "v_1": [11, 31], "dot": [11, 14, 17, 24, 35, 37, 52, 59, 71], "v_": [11, 26], "i_n": [11, 57], "i_2": [11, 57], "sum": [11, 17, 24, 27, 35, 38, 40, 55, 62, 67, 71], "yx": 11, "25": [11, 44, 54], "zx": 11, "28x": 11, "24": [11, 17, 44, 53, 77], "xz": 11, "xxy": 11, "yz": 11, "zy": 11, "frequent": [11, 17, 25, 53, 57, 66, 67, 71], "rare": [11, 17, 66], "gallina": [11, 17, 25, 41, 66, 75], "mult": [11, 17, 24, 26, 27, 57], "mapsto": 11, "v_2": 11, "paragraph": [11, 27, 35, 40, 57, 75], "polynom": 11, "common": [11, 14, 17, 25, 26, 27, 29, 31, 32, 34, 42, 55, 57, 60, 67, 71, 74], "predefin": [11, 24, 25, 51, 52, 66], "arithr": 11, "zarithr": 11, "narithr": [11, 17], "narith": [11, 17], "zifi": [11, 17, 25, 29, 54, 55, 57, 60], "micromega": [11, 17, 25, 29, 54, 55, 57, 60, 61, 66], "btauto": [11, 17, 29, 57, 62], "30": [11, 17, 24, 27, 71], "Not": [11, 17, 32, 44, 51, 52, 54, 55, 58, 64, 67, 72, 75, 77], "ring_simplifi": [11, 17], "invok": [11, 17, 34, 51, 53, 60, 66, 67, 75], "lookup": 11, "ltac_expr0": [11, 54], "protect": [11, 17, 30, 57], "fv": 11, "ring_theori": 11, "semi_ring_theori": 11, "mk_rt": 11, "radd_0_l": 11, "radd_sym": 11, "radd_assoc": 11, "rmul_1_l": 11, "rmul_sym": 11, "rmul_assoc": 11, "rdistr_l": 11, "rsub_def": 11, "ropp_def": 11, "mk_srt": 11, "sradd_0_l": 11, "sradd_sym": 11, "sradd_assoc": 11, "srmul_1_l": 11, "srmul_0_l": 11, "srmul_sym": 11, "srmul_assoc": 11, "srdistr_l": 11, "surject": [11, 37], "ring_morph": 11, "mkmorph": 11, "morph0": 11, "morph1": 11, "ci": [11, 17, 53, 57, 73], "morph_add": 11, "morph_sub": 11, "morph_mul": 11, "morph_opp": 11, "morph_eq": 11, "semi_morph": 11, "mkrmorph": 11, "smorph0": 11, "smorph1": 11, "smorph_add": 11, "smorph_mul": 11, "smorph_eq": 11, "c0": [11, 59], "cpow": 11, "cp_phi": 11, "rpow": 11, "power_theori": 11, "mkpow_th": 11, "rpow_pow_n": 11, "pow_n": 11, "ring_mod": 11, "preprocess": [11, 17], "postprocess": 11, "tailor": 11, "setoid_theori": [11, 17], "ring_eq_ext": 11, "sring_eq_ext": 11, "initialr": 11, "notconst": 11, "nontrivi": [11, 17, 46, 51, 57], "preliminari": 11, "better": [11, 14, 17, 24, 51, 52, 53, 57, 59, 60, 64, 67, 71, 72], "undo": [11, 17, 52, 54, 58, 59, 66], "preprocessor": [11, 24], "expon": [11, 17, 29, 71], "realfield": 11, "minu": [11, 17, 29, 41, 72], "get_sign": 11, "euclidean": [11, 17, 24, 25, 57], "div_theori": 11, "7x": 11, "good": [11, 17, 53, 54, 55, 57, 66], "philosoph": 11, "calculu": [11, 14, 17, 24, 25, 27, 29, 31, 33, 34, 35, 37, 46, 54, 57, 58, 62, 64, 66, 67, 71, 77], "strongli": [11, 15, 17, 34, 35, 44, 53, 54, 57, 59], "advis": [11, 17, 24, 25, 28, 29, 30, 54, 60], "ring_polynom": 11, "pexpr": 11, "pesub": 11, "peopp": 11, "pepow": 11, "pol": 11, "pc": 11, "pinj": 11, "px": [11, 24, 57], "v_i": [11, 31], "big": [11, 14, 17, 57, 59, 71], "pphi_dev_ok": 11, "pe": 11, "npe": 11, "piec": [11, 42, 43, 53, 55, 57], "summar": [11, 51, 57, 66], "diagram": 11, "chosen": [11, 34, 54, 55, 57, 58, 66, 71], "denomin": [11, 17, 37, 71], "neq": 11, "broken": [11, 17, 71], "proven": [11, 17, 52, 58, 64, 66, 67], "rbase": [11, 17, 24], "qcanon": 11, "r_scope": [11, 71], "auto": [11, 13, 14, 17, 24, 29, 34, 41, 44, 51, 52, 54, 57, 58, 59, 60, 62, 66, 67, 72], "h1": [11, 17, 34, 43, 54, 55, 57, 58, 62, 66, 67], "f_1": [11, 34], "f_2": [11, 34], "n_1": [11, 26], "d_1": 11, "n_2": 11, "d_2": 11, "cancel": [11, 38, 41, 57, 66], "field_theori": 11, "semi_field_theori": 11, "semifield": 11, "mk_field": 11, "f_r": 11, "ro": 11, "ri": [11, 17, 51], "radd": 11, "rmul": 11, "rsub": 11, "ropp": 11, "req": 11, "f_1_neq_0": 11, "fdiv_def": 11, "finv_l": 11, "mk_sfield": 11, "sf_sr": 11, "sf_1_neq_0": 11, "sfdiv_def": 11, "sfinv_l": 11, "mk_linear": 11, "num": [11, 17], "denum": 11, "field_mod": 11, "samuel": [11, 17, 24], "boutin": [11, 24, 77], "acdsimpl": 11, "zmult_comm": 11, "eq_ind_r": [11, 27], "z0": [11, 17, 71], "mul_comm": [11, 59], "_z_scope": 11, "hundr": [11, 64], "rewrot": [11, 17], "bou97": [11, 77], "later": [11, 17, 25, 31, 32, 43, 44, 50, 53, 55, 57, 58, 66, 67, 71], "patrick": [11, 24], "loiseleur": [11, 24], "interleav": [11, 17, 58], "he": [11, 17, 24, 57], "wrote": [11, 17, 24], "larg": [11, 14, 17, 25, 26, 29, 34, 35, 39, 52, 53, 54, 57, 61, 64, 66, 67, 71, 75], "motiv": [11, 17, 55, 57, 77], "34": [11, 53, 71, 77], "12": [11, 25, 29, 53, 54, 57, 58, 60, 71], "46": [11, 77], "ominu": 11, "v_3": 11, "far": [11, 24, 46, 52, 57, 66, 71], "faster": [11, 17, 24, 51, 58, 59, 62, 64], "free": [11, 17, 24, 26, 34, 44, 52, 54, 55, 57, 58, 62, 64, 71, 75, 77], "difficult": [11, 17, 29, 55, 72], "ultim": 11, "answer": [11, 46, 53], "intens": [11, 17, 24, 64], "classic": [11, 17, 24, 25, 34, 51, 55, 57, 66], "tautologi": [11, 17, 24, 54, 62], "backtrack": [11, 13, 17, 24, 25, 52, 58, 60, 67], "clearli": [11, 24, 71, 74], "significantli": [11, 17, 24, 57, 66], "idea": [11, 17, 34, 42, 54], "suggest": [11, 17, 24, 25, 34, 51, 52, 53, 57, 66], "werner": [11, 17, 24, 77], "coupl": [11, 17, 46, 53, 57, 75], "tool": [11, 14, 25, 29, 51, 52, 53, 54, 57, 59, 66, 71, 72, 75, 77], "model": [11, 17, 24, 57, 77], "trace": [11, 13, 17, 25, 32, 51, 53, 57, 58, 59], "replai": [11, 57], "footnot": [11, 38, 57, 71], "bytecod": [12, 17, 59, 64], "gcst19": [12, 39, 77], "strictprop": [12, 17], "startup": [12, 51, 53, 60], "purpos": [12, 14, 17, 24, 27, 34, 35, 42, 51, 52, 54, 55, 57, 64, 66, 67, 71], "hx": [12, 57, 58], "\u03b7": [12, 17, 25, 30], "tractabl": 12, "cumul": [12, 13, 17, 24, 25, 26, 29, 30, 31, 34, 37, 40, 71], "forbidden": [12, 17, 24, 25], "relev": [12, 17, 24, 28, 30, 32, 34, 40, 46, 51, 53, 54, 57, 58, 64, 66, 71], "world": [12, 17, 24, 55, 57, 77], "escap": [12, 17, 25, 51, 53, 71], "box": [12, 17, 29, 54, 71], "box_rect": 12, "box_ind": 12, "box_rec": 12, "box_sind": 12, "box_irrelev": 12, "squash": [12, 14, 17], "isquash": 12, "isquash_sind": 12, "Or": [12, 17, 41, 53, 58, 71], "sempti": 12, "sempty_rect": 12, "sempty_ind": 12, "sempty_rec": 12, "sempty_sind": 12, "foo_sind": 12, "foo_ind": [12, 17, 57], "sprod": 12, "sfst": 12, "ssnd": 12, "extension": [12, 17, 27, 30, 57], "rbox": 12, "runbox": 12, "ssig": 12, "spr1": 12, "spr2": 12, "trivial": [12, 13, 14, 17, 34, 46, 53, 54, 55, 57, 58, 60, 66, 67], "sunit": 12, "stt": 12, "sunit_rect": 12, "is_tru": [12, 57], "is_true_eq_tru": 12, "eq_true_is_tru": 12, "seq": [12, 13, 30, 46, 55, 57, 67], "srefl": [12, 46], "seq_rect": [12, 46], "seq_ind": [12, 46], "seq_rec": [12, 46], "seq_sind": [12, 46], "hidden_arrow": 12, "stuck": [12, 13, 17], "Such": [12, 30, 35, 42, 44, 53, 55, 59, 71, 75], "around": [12, 17, 24, 29, 46, 52, 53, 55, 57, 58, 59, 64, 67, 71, 75], "ac19": [12, 77], "all_eq": 12, "transport": [12, 17], "timeout": [12, 17, 25, 59, 64], "infinit": [12, 30, 34, 39], "binder": [12, 13, 17, 24, 25, 30, 32, 34, 37, 38, 40, 52, 54, 55, 58, 59, 63, 64, 67, 75], "bug": [12, 17, 24, 52, 54, 66], "incorrectli": [12, 17, 55], "leav": [12, 13, 17, 32, 35, 52, 54, 57, 58, 59, 60, 64, 66, 67], "silent": [12, 14, 17, 24, 29, 51, 53, 59, 66, 72], "repair": [12, 17], "affect": [12, 17, 24, 29, 34, 41, 44, 46, 53, 54, 55, 57, 59, 60, 64, 66, 71], "programmat": 13, "quick": [13, 17, 24, 27, 54, 57, 66, 74], "paper": [13, 24, 42, 54, 57, 72, 77], "so08": [13, 77], "literatur": [13, 34], "class": [13, 17, 24, 25, 27, 28, 35, 39, 42, 44, 57, 59, 60, 62, 64], "classnam": 13, "p1": [13, 17, 37, 57, 67], "pn": [13, 17, 57], "f1": [13, 17, 41, 51, 57, 71], "fm": 13, "um": [13, 57], "instancenam": 13, "qm": 13, "tm": 13, "pi": [13, 17, 52], "ti": [13, 57], "fi": 13, "rise": [13, 24], "ll": [13, 17, 34, 52, 53], "eqdec": [13, 38, 60], "eqb_leibniz": 13, "unit_eqdec": 13, "member": [13, 42, 55], "oblig": [13, 17, 25, 37, 57, 62, 72], "eq_bool": 13, "discrimin": [13, 17, 24, 54, 57, 58, 59, 60, 62, 64, 66], "richer": [13, 25], "facil": [13, 17, 24, 52, 54, 55, 57, 59], "neqb": 13, "generaliz": [13, 17, 44], "neqb_implicit": 13, "prod_eqb": 13, "ea": 13, "eb": 13, "la": [13, 17, 24, 52, 55, 77], "ra": 13, "lb": 13, "rb": 13, "prod_eqb_obligation_1": 13, "eas": [13, 17, 37, 53, 55, 57, 58, 66], "eqdec_def": 13, "option_eqb": 13, "program_branch_2": 13, "y1": [13, 27, 42, 46, 59], "option_eqb_obligation_1": 13, "option_eqb_obligation_2": 13, "option_eqb_obligation_3": 13, "_type_scop": [13, 14, 34, 44, 46, 66, 67], "1182": 13, "1383": 13, "redeclar": [13, 17], "ord": [13, 57], "le_eqb": 13, "compon": [13, 17, 24, 25, 30, 33, 34, 35, 37, 42, 51, 52, 53, 54, 57, 59, 60, 71], "preorder": [13, 57, 59], "preorder_reflex": [13, 59], "preorder_transit": 13, "easili": [13, 17, 53, 57, 72], "useless": [13, 14, 17, 24, 25, 37, 46, 60], "templat": [13, 17, 25, 30, 37, 40, 66], "privat": [13, 14, 17, 25, 29, 30, 34, 37], "queri": [13, 17, 25], "hint_info": [13, 60], "field_val": [13, 37], "prioriti": [13, 17, 37, 46, 52, 57, 59, 66, 71], "one_pattern": [13, 59, 60], "trigger": [13, 17, 25, 29, 44, 54, 55, 57, 60, 71], "bf": [13, 17], "df": [13, 17], "best": [13, 17, 53, 54, 57, 60, 71], "effort": [13, 17, 24, 63, 74], "engin": [13, 17, 24, 33, 43, 55, 57, 58, 64, 77], "multi": [13, 17, 25, 52, 54, 55, 66, 75], "analys": 13, "hintdb": [13, 17, 55, 60], "full": [13, 14, 17, 24, 25, 30, 34, 43, 46, 52, 57, 58, 64, 66, 71, 77], "suspend": [13, 17, 66], "until": [13, 14, 17, 24, 26, 31, 32, 34, 40, 52, 54, 55, 57, 60, 64, 66, 67, 72], "reach": [13, 52, 58], "breadth": 13, "deepen": 13, "best_effort": [13, 17], "couldn": 13, "unbound": [13, 14, 17, 54, 55, 58], "count": [13, 17, 25, 51, 57, 58, 59, 64, 66, 67], "faithfulli": 13, "mimic": [13, 37, 57], "move": [13, 17, 24, 25, 43, 52, 53, 55, 66, 67, 71], "autoappli": [13, 17], "shortcut": [13, 17, 25, 52, 55, 64, 71], "prevent": [13, 17, 29, 34, 41, 42, 51, 53, 54, 57, 64, 71], "releas": [13, 15, 17, 24, 25, 52, 53, 57, 63, 74], "filter": [13, 17, 30, 51, 53, 59, 60], "eta": [13, 17, 25, 31, 37], "expens": [13, 17, 54, 66], "rebuild": [13, 17], "benefit": [13, 17, 51, 57], "invert": [13, 17, 57, 67, 72], "elabor": [13, 14, 17, 25, 33, 37, 41, 44, 45, 51, 55, 58], "stricter": [13, 14, 17], "freez": 13, "verbos": [13, 17, 42, 51, 59], "successfulli": [13, 51, 52, 54, 57, 62, 63], "reus": [14, 17, 41, 57, 58, 59, 63, 64, 66], "sometim": [14, 17, 24, 25, 31, 34, 46, 53, 54, 55, 57, 59, 60, 66, 67, 71], "incompat": [14, 24, 25, 34, 41, 46, 54, 57, 59, 66, 71], "self": [14, 17, 54, 55, 67, 71], "selfid": 14, "pident": 14, "167": 14, "176": 14, "selfpid": 14, "monoid": [14, 55], "ourselv": [14, 34], "mon_car": 14, "mon_unit": 14, "mon_op": 14, "build_monoid": 14, "_function_scop": [14, 34, 46, 57, 67], "unit_monoid": 14, "greater": [14, 17, 24, 34, 52, 71], "pprod": 14, "max": [14, 17, 24, 39, 46, 54, 59], "ppair": 14, "pfst": 14, "psnd": 14, "40": [14, 17, 27, 41, 71], "type_scop": [14, 17, 25, 52, 54, 57, 58], "core_scop": [14, 71], "cartesian": [14, 54], "monoid_op": 14, "prod_monoid": 14, "monoids_monoid": 14, "live": [14, 17, 51, 55], "coinduct": [14, 17, 25, 26, 32, 33, 34, 37, 40, 46, 54, 59, 67, 71], "attribtu": 14, "list_rect": [14, 34, 41, 44, 46, 57, 67], "list_ind": [14, 34, 41, 44, 46, 57, 67], "list_rec": [14, 34, 41, 44, 46, 57, 67], "list_sind": [14, 34, 41, 44, 46, 57, 67], "invari": [14, 17, 55], "covari": 14, "irrelev": [14, 17, 25, 32, 33, 34, 39, 54, 55, 57, 64, 77], "contravari": 14, "\u03b3": [14, 26, 31, 34, 35, 38, 55], "\u03b2\u03b4\u03b9\u03b6\u03b7": [14, 26, 31, 34, 35], "packtyp": 14, "pk": [14, 57], "1604": 14, "1612": 14, "lower": [14, 17, 25, 52, 54, 55, 57, 60, 64, 71], "monad": [14, 17, 55], "build_monad": 14, "dummy_rect": 14, "dummy_ind": 14, "dummy_rec": 14, "dummy_sind": 14, "2170": 14, "2175": 14, "insuffici": [14, 17, 51], "101": 14, "invariant_rect": 14, "invariant_ind": 14, "invariant_rec": 14, "invariant_sind": 14, "covariant_rect": 14, "covariant_ind": 14, "covariant_rec": 14, "covariant_sind": 14, "irrelevant_rect": 14, "irrelevant_ind": 14, "irrelevant_rec": 14, "irrelevant_sind": 14, "low": [14, 17, 25], "high": [14, 17, 24, 25, 35, 59, 60, 66, 72], "inv_low": 14, "inv_high": 14, "co_low": 14, "co_high": 14, "irr_low": 14, "irr_high": 14, "eq_rect": [14, 17, 27, 34, 40, 67], "eq_ind": [14, 27, 40], "eq_rec": [14, 27, 34, 40], "eq_sind": [14, 27, 40], "inhabit": [14, 29, 31, 32, 34, 37, 40, 43, 46, 51], "fit": [14, 17, 29, 34, 52, 55, 57, 71], "funext_typ": 14, "funext_down": 14, "145": [14, 53], "146": 14, "delai": [14, 17, 25, 40, 64], "flexibl": [14, 17, 55, 58, 64], "discard": [14, 17, 52, 54, 55, 58, 64, 75], "predict": [14, 17, 54, 64], "indistinguish": [14, 37], "accomplish": [14, 57], "cut": [14, 17, 24, 25, 29, 52, 57, 58, 60], "tend": [14, 57], "inclus": [14, 17, 54, 55], "id0": 14, "toset": [14, 17], "collaps": [14, 17, 51], "float": [14, 17, 24, 25, 59, 71], "universe_nam": [14, 39], "univ_level_or_qu": 14, "univ_constraint": 14, "cumul_univ_decl": [14, 34], "undeclar": [14, 17], "wizard": 14, "diagnos": 14, "appar": [14, 17, 51, 54, 57], "subgraph": [14, 17], "debug_univ_nam": 14, "adjust": [14, 17, 38, 71], "kept": [14, 17, 24, 36, 53, 67, 75], "init": [14, 17, 27, 28, 35, 51, 54, 55, 58, 59, 60, 66, 67, 71], "make_a_le_b": 14, "make_b_le_c": 14, "make_c_le_a": 14, "extrem": [14, 17, 29, 57], "unstabl": [14, 17], "hierarchi": [14, 17, 24, 25, 34, 39, 51], "filenam": [14, 17, 25, 51, 52, 59, 64, 75], "gv": [14, 17], "graphviz": [14, 17], "format": [14, 17, 24, 26, 35, 37, 42, 51, 52, 53, 57, 71, 75], "shadow": [14, 17, 44, 66], "foobar": 14, "155": 14, "4136": 14, "4140": 14, "anonym": [14, 17, 24, 25, 44, 54, 66], "attach": [14, 17, 29, 52, 59, 71, 74], "underscor": [14, 17, 29, 37, 44, 51, 71, 75], "160": 14, "161": 14, "162": [14, 53], "165": 14, "freeli": [14, 57], "mainli": [14, 60, 75], "168": 14, "public": [14, 17, 25, 50, 59, 74], "xxx": 14, "169": [14, 17], "4400": 14, "4403": 14, "regard": [14, 17, 51, 58], "170": 14, "4524": 14, "4527": 14, "174": 14, "baz": [14, 53], "outer": [14, 17, 46, 66], "4684": 14, "4687": 14, "parser": [14, 17, 24, 29, 53, 57, 71], "regardless": [14, 17, 42, 57, 60, 66], "fof": 14, "idtac": [14, 17, 25, 52, 55, 57, 60, 66, 71, 74], "\u03b113": 14, "179": 14, "distinguish": [14, 17, 24, 26, 34, 37, 57, 64, 71], "ground": [14, 17, 54, 62, 71, 75], "uip": [14, 17, 25, 46, 59], "squash_ind": 14, "squash_sind": 14, "squash_prop_rect": 14, "squash_prop_srect": 14, "sigma": [14, 17, 37, 67, 71], "pr1": 14, "pr2": 14, "contrast": [14, 17, 34, 53, 57, 60, 62, 64, 67], "mononorph": 14, "mix": [14, 17, 24, 27, 42, 54, 57, 71], "sensibl": [14, 24], "chronolog": 15, "major": [15, 17, 24, 26, 42, 51, 53, 55, 73, 74], "read": [15, 17, 26, 29, 42, 51, 52, 57, 59, 64, 71, 75], "advic": [15, 17], "upgrad": [15, 17, 25], "quickli": [16, 17, 25, 44], "glossari": [16, 17, 25, 29], "redefinit": [17, 54, 55], "20054": 17, "ga\u00ebtan": 17, "gilbert": [17, 77], "is_str": 17, "is_sort": 17, "20088": 17, "jason": 17, "gross": 17, "decompose_app_list": 17, "decompose_app": 17, "20089": 17, "is_som": 17, "is_non": 17, "20184": 17, "timelog2html": [17, 53], "packag": [17, 24, 25, 35, 42, 51, 52, 59, 67, 73, 75], "devtool": [17, 53], "instal": [17, 25, 35, 51, 52, 64, 66, 72, 73], "20169": 17, "utf8": [17, 52, 53, 75], "os": 17, "20256": 17, "11526": 17, "19160": 17, "increment": [17, 24, 30, 31, 32, 33, 34, 38, 55, 66], "19250": 17, "19254": 17, "19263": 17, "mari": 17, "p\u00e9drot": 17, "backward": [17, 25, 51, 52, 55, 57, 63, 66, 71], "19262": 17, "19164": 17, "18762": 17, "jan": [17, 24, 77], "oliv": 17, "kaiser": 17, "systemat": [17, 24, 44, 55, 57, 64], "univ": 17, "18960": 17, "hugo": [17, 24, 46], "herbelin": [17, 24, 46], "19295": 17, "19329": 17, "19327": 17, "of_type_inst": [17, 34, 37], "keyword": [17, 24, 25, 28, 29, 32, 37, 40, 46, 55, 57, 64, 71, 75], "changelog": [17, 24], "entri": [17, 24, 25, 28, 29, 37, 51, 52, 53, 54, 55, 67], "former": [17, 29, 30, 57, 75], "19519": 17, "roux": 17, "proj": [17, 24, 54], "lh": [17, 55, 57, 59], "19611": 17, "quentin": 17, "vermand": 17, "evar": [17, 24, 54, 55, 57, 58, 59, 64, 71], "19833": 17, "19296": 17, "7913": 17, "19092": 17, "18951": 17, "mishandl": 17, "19257": 17, "16906": 17, "19773": 17, "10407": 17, "19775": 17, "12417": 17, "unicod": [17, 25, 75], "19693": 17, "19512": 17, "guillaum": 17, "melquiond": 17, "hnf": [17, 24, 41, 42, 57, 58, 64, 67], "insensit": 17, "prescrib": [17, 57], "exception": [17, 24, 64], "18580": 17, "ncring_tac": 17, "extra_reifi": 17, "matter": [17, 37, 51, 57, 64, 67], "ncring": 17, "19501": 17, "gintuit": 17, "19704": 17, "19817": 17, "jim": 17, "fehrl": 17, "lia": [17, 25, 54, 55, 57, 60], "nia": [17, 25], "nra": [17, 25], "19703": 17, "refold": [17, 64], "destructor": [17, 25, 30, 31, 37], "occasion": [17, 24, 29, 53, 66], "scrupul": 17, "18591": 17, "16040": 17, "19436": 17, "15432": 17, "metavari": [17, 24, 25, 54, 55, 62], "19769": 17, "17314": 17, "20004": 17, "20003": 17, "14289": 17, "19032": 17, "benni": 17, "smit": 17, "of_int": [17, 36], "uint63": [17, 36], "19197": 17, "19575": 17, "noccur_between": 17, "noccurn": 17, "19614": 17, "occur_between": 17, "occurn": 17, "opposit": [17, 31, 32, 46, 58, 64], "hyp_valu": 17, "19630": 17, "ltac2_quot": [17, 55], "ltac2_delta_reduct": [17, 55], "19589": 17, "19590": 17, "focuss": 17, "19961": 17, "daniil": 17, "iaitskov": 17, "sym_equ": [17, 57], "19372": 17, "19399": 17, "not_locked_false_eq_tru": 17, "19382": 17, "eg": [17, 53], "19277": 17, "guard": [17, 24, 25, 27, 30, 32, 34, 41, 44, 46, 57, 59, 64, 66, 67, 71, 72, 77], "classifi": 17, "19383": 17, "19528": 17, "misord": 17, "19624": 17, "colon": [17, 51, 53, 57, 66], "19730": 17, "eras": [17, 44, 57, 58, 67, 75], "19808": 17, "findlib": [17, 53, 59], "18385": 17, "emilio": 17, "jes\u00fa": 17, "gallego": 17, "aria": 17, "19678": 17, "19872": 17, "clear": [17, 24, 25, 29, 38, 41, 44, 54, 55, 58, 64, 67, 71], "19216": 17, "lsp": [17, 29, 74], "19300": 17, "19362": 17, "19390": 17, "19473": 17, "19517": 17, "19640": 17, "surviv": [17, 24, 60, 71], "19361": 17, "19360": 17, "19768": 17, "19767": 17, "synterp": 17, "schedul": 17, "19981": 17, "19370": 17, "coq_makefil": [17, 24, 52], "makefil": [17, 25, 51, 52, 59], "cmx": [17, 51], "19841": 17, "coqdep": [17, 53], "19863": 17, "dialog": [17, 52, 65], "margin": [17, 57], "spin": 17, "19417": 17, "sylvain": [17, 77], "chiron": 17, "ok": [17, 29, 52, 58], "immedi": [17, 24, 27, 54, 55, 57, 58, 59, 60, 66], "item": [17, 24, 25, 29, 52, 54, 55, 58, 60, 64, 66, 67, 71, 75], "unjustifi": 17, "coqidetop": 17, "20036": 17, "19188": 17, "buffer": [17, 25, 35, 53], "restart": [17, 51, 52, 53, 54, 57, 66], "19166": 17, "tab": [17, 29, 52, 53], "reorder": [17, 25, 52], "repositori": [17, 53, 63, 74], "19975": 17, "who": [17, 24, 54, 57, 59], "tini": 17, "19530": 17, "cep": 17, "83": 17, "dune": [17, 25, 51, 59], "19378": 17, "coqc": [17, 24, 53], "prof": [17, 53], "gz": [17, 51, 53], "19428": 17, "coqchk": 17, "bump": 17, "19621": 17, "19834": 17, "xdg": [17, 53], "coqpath": 17, "loadpath": [17, 24, 51, 53, 59], "19842": 17, "host": 17, "virtual": [17, 24, 32, 53, 64], "highlight": [17, 51, 52, 53, 57, 63, 66], "went": [17, 54, 55], "docker": 17, "keeper": 17, "fold_left2": 17, "fold_right2": 17, "ing": [17, 74], "mutabl": 17, "mutat": 17, "some_expr": 17, "smooth": [17, 24, 57], "th\u00e9o": 17, "zimmermann": [17, 77], "ali": 17, "caglayan": 17, "coqbot": 17, "pull": [17, 55], "task": [17, 57, 75], "erik": 17, "martin": [17, 24, 27, 34, 77], "dorel": 17, "date": [17, 24, 53], "cyril": [17, 29], "cohen": 17, "vincent": 17, "laport": 17, "nix": 17, "rudi": 17, "grinberg": 17, "rodolph": 17, "lepigr": 17, "opam": [17, 25, 27, 73], "claret": 17, "karl": 17, "palmskog": 17, "contribut": [17, 25, 53, 71], "websit": [17, 75, 76], "lass": [17, 77], "blaauwbroek": 17, "andrej": 17, "dudenhefn": 17, "andr": 17, "erbsen": 17, "ralf": 17, "jung": 17, "chantal": 17, "keller": 17, "olivi": [17, 24], "yishuai": 17, "li": 17, "ralph": 17, "matth": 17, "pit": 17, "claudel": 17, "rousselin": 17, "michael": 17, "soegtrop": 17, "soukouki": 17, "niel": 17, "van": 17, "der": 17, "weid": 17, "nickolai": 17, "zeldovich": 17, "team": [17, 24], "book": [17, 25], "page": [17, 25, 27, 51, 52, 71, 75], "59": [17, 57], "contributor": 17, "timur": 17, "aminev": 17, "bj\u00f6rn": 17, "brandenburg": 17, "nikolao": 17, "chatzikonstantin": 17, "chluebi": 17, "anton": 17, "danilkin": 17, "louis": 17, "duboi": 17, "de": [17, 24, 31, 33, 59, 77], "prisqu": 17, "d\u00e9n\u00e8": 17, "david": [17, 24, 72, 77], "fissor": 17, "andrea": [17, 77], "florath": 17, "yannick": 17, "forster": 17, "mario": 17, "frank": [17, 77], "georg": [17, 57, 77], "gonthier": [17, 57, 77], "stefan": 17, "haan": 17, "lennart": 17, "jablonka": 17, "evgenii": 17, "kosogorov": 17, "yann": [17, 24], "lerai": 17, "cook": 17, "munch": 17, "maccagnoni": 17, "julien": [17, 72], "puydt": 17, "ramkumar": 17, "ramachandra": 17, "kazuhiko": 17, "sakaguchi": 17, "bernhard": 17, "schommer": 17, "remi": 17, "seassau": 17, "romain": 17, "tetlei": 17, "alexei": 17, "trili": 17, "turner": 17, "yao": 17, "xia": 17, "club": 17, "inria": [17, 24, 25, 27, 53, 75, 77], "fr": [17, 24, 25, 27, 53, 75, 77], "mail": 17, "discours": [17, 52], "forum": 17, "zulip": [17, 52, 54], "chat": 17, "span": 17, "month": 17, "470": 17, "merg": [17, 44], "pr": 17, "113": [17, 54], "toulous": 17, "septemb": [17, 24, 77], "2024": 17, "17986": 17, "grant": 17, "18038": 17, "18973": 17, "offer": [17, 29, 46, 51, 52, 54, 57, 59, 71], "opportun": 17, "codebas": 17, "bewar": [17, 53, 55, 63, 67], "bin": [17, 53], "awk": 17, "startclass": 17, "inclass": 17, "indefclass": 17, "definitionalclass": 17, "18590": 17, "18743": 17, "cofixpoint": [17, 29, 30, 32, 34, 38, 57, 59, 64, 66], "bypass_guard": 17, "clearbodi": [17, 24, 38, 58], "18754": 17, "18834": 17, "13812": 17, "14841": 17, "18873": 17, "3889": 17, "18915": 17, "11766": 17, "11988": 17, "ins": [17, 58, 59], "18921": 17, "5777": 17, "11030": 17, "11586": 17, "18929": 17, "1956": 17, "18958": 17, "18920": 17, "19100": 17, "19099": 17, "reserv": [17, 25, 29, 35, 40, 54, 57, 59], "16329": 17, "16262": 17, "longest": [17, 29, 34, 41, 42, 57, 71, 75], "19149": 17, "postfix": [17, 57, 71], "unusu": 17, "18588": 17, "19049": 17, "correctli": [17, 24, 29, 34, 51, 52, 53, 54], "18445": 17, "18447": 17, "18342": 17, "virtu": 17, "q\u2081": 17, "q\u2082": 17, "minor": [17, 51, 57, 71], "variat": [17, 59, 77], "thereof": 17, "euclidean_division_equations_flag": 17, "default_with": 17, "find_duplicate_quoti": 17, "to_euclidean_division_equations_with": 17, "17934": 17, "opac": [17, 59, 64], "18327": 17, "18281": 17, "convention": [17, 53, 71], "18395": 17, "18909": 17, "coqlib": [17, 53], "19115": 17, "18887": 17, "cutrewrit": 17, "19027": 17, "19006": 17, "undocu": [17, 24, 59], "19129": 17, "destauto": [17, 67], "11537": 17, "19179": 17, "17927": 17, "doubl": [17, 24, 27, 29, 34, 44, 52, 53, 54, 57, 59, 71, 75], "18729": 17, "19060": 17, "13480": 17, "18576": 17, "4056": 17, "18577": 17, "7982": 17, "18601": 17, "unnam": [17, 44, 52, 57, 66, 71], "18616": 17, "17897": 17, "18618": 17, "9086": 17, "18094": 17, "13702": 17, "18463": 17, "18411": 17, "believ": [17, 54, 55], "pleas": [17, 24, 44, 53, 54, 55, 62, 66, 67, 72, 77], "18432": 17, "17477": 17, "18706": 17, "18713": 17, "18940": 17, "pretyp": [17, 51, 55], "open_constr_flag": 17, "mislead": [17, 71], "open_constr": [17, 55, 71], "18765": 17, "fst": [17, 24, 27, 35, 42, 46, 71], "snd": [17, 24, 27, 35, 42, 46, 71], "18370": 17, "ltac1": [17, 25], "of_preterm": 17, "to_preterm": 17, "18551": 17, "of_intro_pattern": 17, "to_intro_pattern": 17, "18558": 17, "unshelv": [17, 43, 66], "18604": 17, "unus": [17, 25, 53, 58, 71], "18641": 17, "numgoal": [17, 25], "18690": 17, "intropattern": [17, 55, 58, 67], "18757": 17, "18764": 17, "18766": 17, "18656": 17, "pretti": [17, 24, 25, 27, 51, 53, 57, 59, 71], "printer": [17, 24, 29, 46, 57, 59, 71], "18988": 17, "18989": 17, "19204": 17, "new_goal": 17, "shelf": [17, 66], "19141": 17, "19138": 17, "18224": 17, "ssrfun": [17, 57], "15121": 17, "18449": 17, "18017": 17, "fun_scop": 17, "function_scop": [17, 25], "18374": 17, "ssrewrit": 17, "19213": 17, "19229": 17, "refman": 17, "closer": [17, 24, 31, 57, 60, 72], "doc": [17, 24, 25, 51, 53, 63, 71, 74, 76, 77], "18705": 17, "focu": [17, 24, 34, 43, 54, 55, 57, 66, 67], "18707": 17, "18351": 17, "18867": 17, "clarifi": [17, 24], "18880": 17, "fragil": [17, 54, 57, 59, 60, 63, 66], "18895": 17, "19016": 17, "3132": 17, "19069": 17, "17403": 17, "18248": 17, "18299": 17, "marker": [17, 59], "18444": 17, "import_categori": [17, 35, 59], "18536": 17, "18725": 17, "18785": 17, "18983": 17, "with_declar": [17, 35], "19144": 17, "18442": 17, "15020": 17, "18458": 17, "18537": 17, "18298": 17, "18662": 17, "18657": 17, "18852": 17, "12948": 17, "scheme_typ": 17, "19017": 17, "10816": 17, "19201": 17, "sigint": 17, "interrupt": [17, 52, 54, 59], "18716": 17, "dir": [17, 51, 53, 75], "redirect": [17, 51, 59, 75], "17392": 17, "8649": 17, "coqdoc": [17, 24, 53, 75], "18527": 17, "18516": 17, "ui": [17, 51], "icon": [17, 52], "18523": 17, "11024": 17, "kei": [17, 25, 41, 42, 55, 57, 59, 64, 66, 71], "navig": [17, 24, 52, 57, 75], "menu": [17, 24, 52, 66], "alt": [17, 52], "maco": [17, 51, 52], "ctrl": [17, 52], "hid": 17, "cursor": [17, 52, 66], "movement": [17, 58], "home": [17, 51, 52, 53], "ve": [17, 52, 53, 66, 67], "edit": [17, 24, 25, 29, 51, 53, 57, 66, 71], "pgup": 17, "pgdn": 17, "18717": 17, "toggleabl": 17, "shift": [17, 52, 57], "f2": [17, 41, 51, 52, 55, 57], "16141": 17, "drag": [17, 24], "regress": 17, "18524": 17, "3977": 17, "xml": [17, 24], "protocol": [17, 77], "19040": 17, "18682": 17, "tooltip": [17, 52], "19153": 17, "19152": 17, "app_length": 17, "becam": [17, 24], "length_app": 17, "migrat": 17, "xarg": 17, "sed": 17, "rev_length": 17, "length_rev": 17, "map_length": 17, "length_map": 17, "fold_left_length": 17, "fold_left_s_o": 17, "split_length_l": 17, "length_fst_split": 17, "split_length_r": 17, "length_snd_split": 17, "combine_length": 17, "length_combin": 17, "prod_length": 17, "length_prod": 17, "firstn_length": 17, "length_firstn": 17, "skipn_length": 17, "length_skipn": 17, "seq_length": 17, "length_seq": 17, "concat_length": 17, "length_concat": 17, "flat_map_length": 17, "length_flat_map": 17, "list_power_length": 17, "length_list_pow": 17, "18564": 17, "crelationclass": 17, "ifft": 17, "18910": 17, "ndigit": 17, "ndist": 17, "bytevector": 17, "18936": 17, "zbinari": 17, "natpair": 17, "znatpair": 17, "nbinari": [17, 53], "peanonat": [17, 59], "binnat": [17, 59], "binint": [17, 53], "18500": 17, "natint": 17, "nzproperti": 17, "nzmulord": 17, "nzprop": 17, "nzmulorderprop": 17, "18501": 17, "bool_nat": 17, "18538": 17, "nzdomain": 17, "18539": 17, "zdiveucl": 17, "zeuclid": 17, "18544": 17, "niso": 17, "ndefop": 17, "18668": 17, "bvector": 17, "encourag": [17, 46, 53, 54], "18947": 17, "vector": [17, 46, 67], "awar": [17, 51, 52, 55, 58, 59, 62, 66], "bundl": 17, "intent": [17, 24, 28, 57], "18032": 17, "nodup_app": 17, "nodup_iff_forallordpair": 17, "nodup_map_nodup_forallpair": 17, "nodup_concat": 17, "18172": 17, "haani": 17, "in_iff_nth_error": 17, "nth_error_app": 17, "nth_error_cons_0": 17, "nth_error_cons_succ": 17, "nth_error_rev": 17, "nth_error_firstn": 17, "nth_error_skipn": 17, "hd_error_skipn": 17, "nth_error_seq": 17, "18563": 17, "strong_induction_l": 17, "binary_induct": 17, "even_even": 17, "odd_even": [17, 67], "odd_odd": 17, "even_odd": [17, 67], "b2n_le_1": 17, "testbit_odd_succ": 17, "testbit_even_succ": 17, "testbit_div2": 17, "div2_0": 17, "div2_1": 17, "div2_le_mono": 17, "div2_even": 17, "div2_odd": 17, "le_div2_diag_l": 17, "div2_le_upper_bound": 17, "div2_le_lower_bound": 17, "lt_div2_diag_l": 17, "le_div2": 17, "lt_div2": 17, "div2_decr": 17, "land_even_l": 17, "land_even_r": 17, "land_odd_l": 17, "land_odd_r": 17, "land_even_even": 17, "land_odd_even": 17, "land_even_odd": 17, "land_odd_odd": 17, "land_le_l": 17, "land_le_r": 17, "ldiff_even_l": 17, "ldiff_odd_l": 17, "ldiff_even_r": 17, "ldiff_odd_r": 17, "ldiff_even_even": 17, "ldiff_odd_even": 17, "ldiff_even_odd": 17, "ldiff_odd_odd": 17, "ldiff_le_l": 17, "shiftl_lower_bound": 17, "shiftr_upper_bound": 17, "ones_0": 17, "ones_succ": 17, "pow_lower_bound": 17, "18628": 17, "18818": 17, "18770": 17, "18359": 17, "jesu": 17, "vio": 17, "vio2vo": 17, "18424": 17, "4007": 17, "4013": 17, "4123": 17, "5308": 17, "5223": 17, "6720": 17, "8402": 17, "9637": 17, "11471": 17, "18380": 17, "17808": 17, "memprof": 17, "recompil": [17, 51, 52, 53, 59, 64], "18906": 17, "17760": 17, "stack": [17, 25, 41, 54, 55, 57, 59, 71], "action": [17, 24, 52, 53, 57, 60], "18771": 17, "exposit": 17, "18270": 17, "18212": 17, "wrongli": [17, 46], "17321": 17, "16288": 17, "wrapper": [17, 53, 67, 71, 72], "19671": 17, "19661": 17, "syntax_modifi": [17, 71], "19653": 17, "19541": 17, "19673": 17, "19658": 17, "19675": 17, "19668": 17, "period": [17, 24, 29, 52, 54, 60, 66, 74], "temporarili": [17, 53, 57, 59, 66, 71], "cpu": [17, 59], "linux": [17, 35, 51, 52, 53, 59, 64], "thierri": [17, 24, 34, 77], "martinez": 17, "awai": [17, 54], "gitlab": 17, "runner": 17, "jaim": 17, "yve": [17, 24, 72], "bertot": [17, 24, 72], "ana": 17, "borg": 17, "tej": [17, 58], "chaje": [17, 58], "corbineau": [17, 24], "courtieu": [17, 24], "kenji": 17, "maillard": 17, "semeria": 17, "arnaud": 17, "spiwack": 17, "trunov": 17, "quarkcool": 17, "khalid": 17, "abdullah": 17, "tanaka": 17, "akira": 17, "isaac": 17, "bakel": 17, "jouvelot": 17, "robbert": 17, "krebber": 17, "l\u00e9chenet": 17, "sotaro": 17, "okada": 17, "portegi": 17, "swasei": 17, "shengyi": 17, "wang": 17, "285": 17, "70": [17, 27, 36, 42, 57, 71, 72], "nant": 17, "januari": [17, 24, 77], "17836": 17, "18331": 17, "18507": 17, "18503": 17, "term_forall_or_fun": [17, 28, 29], "term_let": [17, 29, 32, 38], "term_fix": [17, 29, 34, 54], "term_cofix": [17, 29, 30, 54], "term_if": [17, 29, 46], "200": [17, 52, 71], "term10": [17, 29, 32], "camlp5": [17, 71], "coqpp": 17, "18014": 17, "18254": 17, "disjunct": [17, 25, 34, 57, 58, 59, 60, 67, 71], "17857": 17, "18005": 17, "17854": 17, "18004": 17, "18176": 17, "18163": 17, "18393": 17, "12755": 17, "18392": 17, "intepret": 17, "18104": 17, "address": [17, 52], "18096": 17, "t_scope": [17, 71], "6134": 17, "14959": 17, "ba": 17, "spitter": 17, "14928": 17, "11486": 17, "12157": 17, "14305": 17, "deep": [17, 24, 57, 67], "token": [17, 29, 42, 51, 52, 53, 54, 55, 58, 59, 66, 71, 75], "17123": 17, "17856": 17, "17845": 17, "17988": 17, "17985": 17, "17115": 17, "17094": 17, "invalid": [17, 24, 40, 52, 54, 59, 64, 66, 71], "17841": 17, "15221": 17, "17844": 17, "15322": 17, "17861": 17, "17860": 17, "17891": 17, "17782": 17, "17892": 17, "17071": 17, "17902": 17, "11237": 17, "18230": 17, "18223": 17, "17704": 17, "17745": 17, "17789": 17, "6714": 17, "17832": 17, "17964": 17, "17959": 17, "cleanup": 17, "17984": 17, "17991": 17, "std": [17, 55], "resolve_tc": 17, "13071": 17, "17503": 17, "18190": 17, "evarconv": 17, "17788": 17, "17774": 17, "17887": 17, "17417": 17, "necess": 17, "overli": 17, "sensit": [17, 24, 29, 59], "17935": 17, "recip": [17, 53], "recaptur": 17, "robust": [17, 51, 57, 60, 66, 75], "albeit": 17, "slower": [17, 51, 60, 62], "17936": 17, "17993": 17, "12521": 17, "3488": 17, "f_equal": [17, 27], "18106": 17, "5481": 17, "9979": 17, "18152": 17, "18151": 17, "tail": [17, 24, 46, 54, 55, 57, 60, 71], "18159": 17, "18158": 17, "18195": 17, "18194": 17, "18243": 17, "18239": 17, "coqtop": [17, 24, 51, 52, 53, 66], "debugg": [17, 24, 25], "18068": 17, "18067": 17, "empty_context": 17, "thunk": [17, 55], "17534": 17, "eexact": [17, 43, 58], "18157": 17, "12827": 17, "fold_left": 17, "fold_right": 17, "18197": 17, "16485": 17, "red_flag": 17, "rstrength": 17, "18273": 17, "18209": 17, "quotat": [17, 24, 25, 66, 75], "eq_pattern": 17, "17667": 17, "transparentst": 17, "17777": 17, "is_float": 17, "is_uint63": 17, "is_arrai": 17, "17894": 17, "ref": [17, 59], "redflag": 17, "18095": 17, "10112": 17, "18102": 17, "investig": [17, 24, 77], "18139": 17, "frame": [17, 52], "18293": 17, "ikfprintf": 17, "18311": 17, "18292": 17, "18082": 17, "17576": 17, "17795": 17, "17801": 17, "17796": 17, "17805": 17, "16126": 17, "9148": 17, "17702": 17, "took": [17, 24], "17744": 17, "18193": 17, "8032": 17, "17987": 17, "17963": 17, "18008": 17, "18006": 17, "17946": 17, "10156": 17, "glob": [17, 24, 51, 75], "gnu": [17, 51, 53], "18077": 17, "18076": 17, "18165": 17, "inadvert": [17, 52], "18448": 17, "18434": 17, "reimplement": 17, "nsatz": [17, 25, 61], "cring": 17, "18325": 17, "cyclic": [17, 64], "zmodulo": 17, "retain": 17, "cyclicaxiom": 17, "17258": 17, "zdigit": 17, "favor": [17, 41, 51], "testbit": [17, 59], "18025": 17, "gt": [17, 27, 42], "min": [17, 24, 59], "arith_prebas": 17, "18164": 17, "disus": 17, "volunt": 17, "17732": 17, "byte": [17, 24, 25, 51, 59, 66, 71], "18022": 17, "naryfunct": 17, "continut": 17, "18026": 17, "cardinal_add_in": 17, "add_transpose_neqkei": 17, "unequ": 17, "12096": 17, "app_eq_con": 17, "app_inj_pivot": 17, "rev_inj": 17, "17787": 17, "unfold_nth_error": 17, "nth_error_nil": 17, "nth_error_con": 17, "nth_error_o": 17, "nth_error_": 17, "17998": 17, "antisymmetr": 17, "asymmetr": [17, 46], "rle": 17, "rge": 17, "rlt": 17, "rgt": 17, "18059": 17, "17889": 17, "17817": 17, "18596": 17, "18630": 17, "18594": 17, "corrupt": [17, 24], "18599": 17, "18670": 17, "18640": 17, "18636": 17, "18560": 17, "18556": 17, "fmap": [17, 60], "18649": 17, "18635": 17, "conf": [17, 53], "libc": 17, "dev": [17, 24, 51, 53, 71], "python": [17, 53], "18565": 17, "comit": 17, "symlink": 17, "git": [17, 53], "setup": [17, 25], "18550": 17, "18548": 17, "19088": 17, "19082": 17, "18089": 17, "18914": 17, "18945": 17, "18942": 17, "19096": 17, "772": 17, "18772": 17, "18769": 17, "18741": 17, "multibyt": 17, "utf": [17, 52, 75], "19137": 17, "19136": 17, "18863": 17, "commit": [17, 53, 54, 55], "pick": [17, 42, 51, 52, 53, 57, 58, 66, 67], "fine": [17, 41, 51, 52, 57, 64], "particularli": [17, 25, 42, 51, 53, 64, 71], "teach": 17, "analysi": [17, 24, 25, 30, 34, 37, 40, 46, 57, 58, 72, 77], "41": [17, 51, 53, 57], "reynald": 17, "affeldt": 17, "bati": 17, "kate": 17, "deplaix": 17, "paolo": 17, "giarrusso": 17, "gruetter": 17, "yoshihiro": 17, "imai": 17, "meven": 17, "lennon": 17, "bertrand": 17, "radziuk": 17, "julin": 17, "shaji": 17, "weng": 17, "shiwei": 17, "hao": 17, "yang": 17, "grate": 17, "sophia": [17, 24], "antipoli": [17, 24], "2023": 17, "17172": 17, "17452": 17, "9608": 17, "native_comput": [17, 25, 32, 36, 51, 58], "17872": 17, "17871": 17, "16903": 17, "overhead": [17, 53, 64], "17008": 17, "volatil": [17, 32, 41, 46], "hidden": [17, 24, 25, 27, 53, 57, 71, 75], "16992": 17, "16918": 17, "uninterpret": [17, 62], "some_term": 17, "17221": 17, "substructur": [17, 25], "17754": 17, "17451": 17, "hook": [17, 53], "metalanguag": 17, "elpi": [17, 57, 63], "17794": 17, "17206": 17, "17079": 17, "17305": 17, "17303": 17, "16788": 17, "16785": 17, "17117": 17, "17484": 17, "formerli": 17, "16937": 17, "12467": 17, "17050": 17, "17217": 17, "14975": 17, "17318": 17, "17316": 17, "17478": 17, "fring": 17, "17322": 17, "17352": 17, "\u03b2\u03b9": [17, 41, 57, 64], "17541": 17, "eqdep_dec": [17, 67], "17670": 17, "uncondition": 17, "17564": 17, "16910": 17, "hresolve_cor": 17, "hget_evar": 17, "17035": 17, "elimtyp": 17, "casetyp": 17, "16904": 17, "revert": [17, 52, 57, 58, 59], "misleadingli": 17, "17669": 17, "13448": 17, "13428": 17, "indirect": [17, 64], "16960": 17, "17304": 17, "17295": 17, "field_simplifi": 17, "17591": 17, "8905": 17, "4721": 17, "5351": 17, "16859": 17, "13976": 17, "17347": 17, "16409": 17, "antiquot": [17, 25], "17359": 17, "13977": 17, "start_profil": 17, "stop_profil": 17, "show_profil": 17, "17371": 17, "10111": 17, "17468": 17, "17475": 17, "ltac2val": [17, 55], "oppos": [17, 57], "17575": 17, "17232": 17, "15864": 17, "17508": 17, "17491": 17, "multi_match": 17, "multi_match0": 17, "multi_goal_match0": 17, "match_failur": [17, 57], "not_found": [17, 24], "17597": 17, "17594": 17, "16258": 17, "plural": [17, 28, 38], "16989": 17, "17274": 17, "17489": 17, "16287": 17, "17585": 17, "17718": 17, "unknown": [17, 29, 42, 43, 58, 60, 66, 71], "17747": 17, "16909": 17, "16911": 17, "parametr": [17, 24, 25, 34, 40, 64], "17042": 17, "counterproduct": 17, "17114": 17, "17108": 17, "workspac": 17, "17394": 17, "17333": 17, "subsum": [17, 57], "inherit": [17, 24, 25, 42, 52, 55], "17716": 17, "17544": 17, "16796": 17, "16817": 17, "16890": 17, "12266": 17, "16902": 17, "15893": 17, "16994": 17, "17430": 17, "17467": 17, "17285": 17, "13927": 17, "rectyp": 17, "re": [17, 24, 29, 32, 38, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 64, 66], "camlflag": [17, 53], "coqmakefil": [17, 25, 52], "17038": 17, "17045": 17, "13155": 17, "t_ind": [17, 35, 71], "17118": 17, "lib": [17, 24, 51, 53, 55, 59, 75], "vernac": [17, 24, 51, 53, 71, 75], "vernacular": [17, 24, 35, 38, 59, 63, 75], "17364": 17, "coqtimelog2html": 17, "render": [17, 24, 75], "17411": 17, "surpass": 17, "17697": 17, "17721": 17, "send": 17, "column": [17, 46, 53, 57], "decod": 17, "client": 17, "17382": 17, "17023": 17, "nth": [17, 58], "16731": 17, "16738": 17, "nodup": 17, "set_diff_nodup": 17, "listset": 17, "16926": 17, "traian": 17, "florin": 17, "\u015ferb\u0103nu\u0163\u0103": 17, "decidableclass": 17, "17021": 17, "17281": 17, "xorb": [17, 27, 59, 62], "simpler": [17, 24, 57, 58, 62, 64], "17427": 17, "rineq": 17, "completeness_weak": 17, "upper_bound_thm": 17, "le_epsilon": 17, "rle_epsilon": 17, "rplus_eq_r0": 17, "rplus_eq_0": 17, "req_em_t": 17, "req_dec_t": 17, "rinv_r_simpl_m": 17, "rmult_inv_r_id_m": 17, "rinv_r_simpl_l": 17, "rmult_inv_r_id_l": 17, "rinv_r_simpl_r": 17, "rmult_inv_m_id_r": 17, "tech_rgt_minu": 17, "rgt_minus_po": 17, "tech_rplu": 17, "rplus_le_lt_0_neq_0": 17, "izr_pos_xi": 17, "izr_pos_xo": 17, "rge_refl": 17, "17036": 17, "prod_curri": 17, "prod_uncurri": 17, "prodt_curri": 17, "prodt_uncurri": 17, "prod_curry_uncurri": 17, "prod_uncurry_curri": 17, "leb_implb": 17, "skipn_non": 17, "zdiv": 17, "z_div_mod_eq": 17, "div_zdiv": 17, "mod_zmod": 17, "floatop": [17, 36], "frexp": 17, "ldexp": 17, "floatlemma": 17, "frexp_spec": 17, "ldexp_spec": 17, "rlist": 17, "rlength": 17, "rtrigo_calc": 17, "cos3pi4": 17, "sin3pi4": 17, "msetrbt": 17, "filter_app": 17, "16920": 17, "app_nil_end": 17, "app_assoc_revers": 17, "ass_app": 17, "app_ass": 17, "forall2_refl": 17, "forall2_nil": 17, "17646": 17, "functin": 17, "17733": 17, "int31": 17, "cyclic31": 17, "nnumber": 17, "ring31": 17, "int63": [17, 71], "17734": 17, "inser_trans_r": 17, "izr_neq": 17, "double_var": 17, "rinv_mult_simpl": 17, "rle_rinv": 17, "rlt_rminu": 17, "rminus_eq_0": 17, "rminus_gt_0_lt": 17, "ropp_div": 17, "ropp_minus_distr": 17, "rplus_sqr_eq_0_l": 17, "sum_inequa_rle_lt_depr": 17, "s_o_plus_inr_depr": 17, "single_z_r_r1_depr": 17, "tech_single_z_r_r1_depr": 17, "l_inj": 17, "r_inj": 17, "l_r_neq": 17, "case_l_r": 17, "fin": [17, 71], "nil_spec": 17, "nth_append_l": 17, "nth_append_r": 17, "in_nth": 17, "nth_replace_eq": 17, "nth_replace_neq": 17, "replace_append_l": 17, "replace_append_r": 17, "append_const": 17, "map_append": 17, "map2_ext": 17, "append_inj": 17, "in_cons_iff": 17, "forall_cons_iff": 17, "forall_map": 17, "forall_append": 17, "forall_nth": 17, "forall2_nth": 17, "forall2_append": 17, "map_shiftin": 17, "fold_right_shiftin": 17, "in_shiftin": 17, "forall_shiftin": 17, "rev_nil": 17, "rev_con": 17, "rev_shiftin": 17, "rev_rev": 17, "map_rev": 17, "fold_left_rev_right": 17, "in_rev": 17, "forall_rev": 17, "vectorspec": 17, "16765": 17, "6459": 17, "iter_swap_gen": 17, "iter_swap": 17, "iter_succ": 17, "iter_succ_r": 17, "iter_add": 17, "iter_ind": 17, "iter_rect": 17, "iter_invari": 17, "17013": 17, "zbitwis": 17, "relationship": [17, 29], "bitwis": [17, 59], "arithmet": [17, 24, 25, 36, 44, 57, 60, 61, 71], "17022": 17, "forallb_filt": 17, "forallb_filter_id": 17, "partition_as_filt": 17, "filter_length": 17, "filter_length_l": 17, "filter_length_forallb": 17, "17027": 17, "eq_izr_contraposit": 17, "inr_0": 17, "inr_1": 17, "inr_archim": 17, "inr_unbound": 17, "ipr_2_xh": 17, "ipr_2_xi": 17, "ipr_2_xo": 17, "ipr_eq": 17, "ipr_ge_1": 17, "ipr_gt_0": 17, "ipr_ipr_2": 17, "ipr_l": 17, "ipr_lt": 17, "ipr_not_1": 17, "ipr_xh": 17, "ipr_xi": 17, "ipr_xo": 17, "le_ipr": 17, "lt_1_ipr": 17, "lt_ipr": 17, "minus_ipr": 17, "mult_ipr": 17, "not_1_ipr": 17, "not_ipr": 17, "plus_ipr": 17, "pow_ipr": 17, "rdiv_0_l": 17, "rdiv_0_r": 17, "rdiv_1_l": 17, "rdiv_1_r": 17, "rdiv_def": 17, "rdiv_diag_eq": 17, "rdiv_diag": 17, "rdiv_diag_uniq": 17, "rdiv_eq_compat_l": 17, "rdiv_eq_compat_r": 17, "rdiv_eq_reg_l": 17, "rdiv_eq_reg_r": 17, "rdiv_mult_distr": 17, "rdiv_mult_l_l": 17, "rdiv_mult_l_r": 17, "rdiv_mult_r_l": 17, "rdiv_mult_r_r": 17, "rdiv_neg_neg": 17, "rdiv_neg_po": 17, "rdiv_opp_l": 17, "rdiv_pos_cas": 17, "rdiv_pos_neg": 17, "rdiv_pos_po": 17, "rexists_between": 17, "rge_gt_or_eq_dec": 17, "rge_gt_or_eq": 17, "rge_lt_dec": 17, "rgt_le_dec": 17, "rgt_or_l": 17, "rgt_or_not_gt": 17, "rinv_0_lt_contravar": 17, "rinv_eq_compat": 17, "rinv_eq_reg": 17, "rinv_lt_0_contravar": 17, "rinv_neg": 17, "rinv_po": 17, "rle_gt_dec": 17, "rle_half_plu": 17, "rle_lt_or_eq": 17, "rle_or_gt": 17, "rle_or_not_l": 17, "rlt_0_2": 17, "rlt_0_minu": 17, "rlt_ge_dec": 17, "rlt_half_plu": 17, "rlt_minus_0": 17, "rlt_or_g": 17, "rlt_or_not_lt": 17, "rminus_def": 17, "rminus_diag": 17, "rminus_eq_compat_l": 17, "rminus_eq_compat_r": 17, "rminus_plus_distr": 17, "rminus_plus_l_l": 17, "rminus_plus_l_r": 17, "rminus_plus_r_l": 17, "rminus_plus_r_r": 17, "rmult_div_assoc": 17, "rmult_div_l": 17, "rmult_div_r": 17, "rmult_div_swap": 17, "rmult_gt_reg_r": 17, "rmult_inv_l": 17, "rmult_inv_r": 17, "rmult_inv_r_uniq": 17, "rmult_neg_cas": 17, "rmult_neg_neg": 17, "rmult_neg_po": 17, "rmult_pos_cas": 17, "rmult_pos_neg": 17, "rmult_pos_po": 17, "ropp_div_distr_l": 17, "ropp_eq_reg": 17, "ropp_neg": 17, "ropp_po": 17, "rplus_0_l_uniq": 17, "rplus_ge_reg_r": 17, "rplus_gt_reg_r": 17, "rplus_minus_assoc": 17, "rplus_minus_l": 17, "rplus_minus_r": 17, "rplus_minus_swap": 17, "rplus_neg_lt": 17, "rplus_neg_neg": 17, "rplus_neg_npo": 17, "rplus_nneg_g": 17, "rplus_nneg_nneg": 17, "rplus_nneg_po": 17, "rplus_npos_l": 17, "rplus_npos_neg": 17, "rplus_npos_npo": 17, "rplus_pos_gt": 17, "rplus_pos_nneg": 17, "rplus_pos_po": 17, "rsqr_def": 17, "r_ifp": 17, "int_part_spec": 17, "rplus_int_part_frac_part": 17, "int_part_frac_part_spec": 17, "flat_map_constant_length": 17, "17082": 17, "sphinx": 17, "esc": 17, "17772": 17, "15778": 17, "17344": 17, "10739": 17, "enviro": [17, 59], "experi": [17, 24, 51, 77], "slowdown": 17, "50": [17, 27, 41, 42, 44, 53, 57, 59, 71, 77], "readi": [17, 51, 57, 60], "hu\u1ef3nh": 17, "tr\u1ea7n": 17, "khanh": 17, "www": [17, 24, 25, 27, 50, 75, 77], "platform": [17, 24, 36, 53, 54, 72], "45": [17, 77], "stephan": 17, "boyer": [17, 24], "franti\u0161ek": 17, "farka": 17, "alban": 17, "gruin": 17, "wolf": 17, "bodo": 17, "igler": 17, "jerri": 17, "jame": 17, "wojciech": 17, "karpiel": 17, "thoma": 17, "klausner": 17, "sudha": 17, "parimala": 17, "valentin": 17, "robert": [17, 77], "dmitri": 17, "shachnev": 17, "naveen": 17, "srinivasan": 17, "sergei": 17, "stepanenko": 17, "karolina": 17, "surma": 17, "414": 17, "105": 17, "februari": [17, 24], "vulner": 17, "repeatedli": [17, 31, 57, 71], "16958": 17, "16957": 17, "unexpect": [17, 24, 44, 53, 55, 71, 73], "inaccess": 17, "17116": 17, "17073": 17, "16135": 17, "lost": [17, 30, 44, 57, 67], "17138": 17, "17137": 17, "17174": 17, "17173": 17, "contigu": [17, 29], "letter": [17, 24, 26, 27, 29, 37, 46, 51, 55, 71, 75], "middl": [17, 29, 54, 57, 71, 75], "16322": 17, "4712": 17, "12324": 17, "16945": 17, "lionel": 17, "rieg": 17, "16472": 17, "add_top": [17, 71], "add_bottom": [17, 71], "consolid": 17, "descript": [17, 24, 25, 27, 29, 31, 38, 40, 42, 46, 51, 53, 55, 57, 66, 67], "assur": [17, 53], "autom": [17, 24, 25, 43, 54, 59, 61, 64, 66, 67, 77], "15015": 17, "16498": 17, "16659": 17, "16289": 17, "5163": 17, "16282": 17, "eager": 17, "cost": [17, 51, 55, 60], "prior": [17, 51, 54], "discrep": [17, 57], "16293": 17, "16062": 17, "16323": 17, "tac1": 17, "tac2": 17, "absurd_hyp": 17, "year": [17, 24], "ago": 17, "contradict": [17, 34, 54, 57, 60, 67], "16670": 17, "progress_evar": 17, "16843": 17, "intuition_solv": [17, 62], "star": [17, 60, 62], "forward": [17, 24, 52, 53, 57, 62, 66], "16026": 17, "16407": 17, "16302": 17, "15814": 17, "6332": 17, "16605": 17, "16743": 17, "5239": 17, "16106": 17, "hyp": [17, 24, 55, 57, 59, 66, 71], "typ": [17, 24], "16764": 17, "boolnot": 17, "16536": 17, "in_context": 17, "16547": 17, "16540": 17, "matches_go": 17, "lazy_goal_match0": 17, "one_goal_match0": 17, "16655": 17, "16023": 17, "16179": 17, "to_str": [17, 55], "concat": [17, 46, 55], "cat": [17, 74], "is_empti": 17, "16217": 17, "liftn": 17, "16413": 17, "closedn": 17, "is_clos": 17, "16414": 17, "16429": 17, "16466": 17, "16418": 17, "16415": 17, "for_all2": 17, "16535": 17, "meta": [17, 24, 25, 39, 53, 59], "16537": 17, "16538": 17, "16552": 17, "10117": 17, "pun": [17, 55], "16556": 17, "12803": 17, "16740": 17, "math": [17, 75, 77], "comp": [17, 53], "872": 17, "874": 17, "olift": 17, "pred_oapp": 17, "all_sig2_cond": 17, "compa": 17, "obindeapp": 17, "omapebind": 17, "omapeapp": 17, "omap_comp": 17, "oapp_comp": 17, "olift_comp": 17, "ocan_comp": 17, "eqblr": 17, "eqbrl": 17, "can_in_pcan": 17, "pcan_in_inj": 17, "in_inj_comp": 17, "can_in_comp": 17, "pcan_in_comp": 17, "ocan_in_comp": 17, "16158": 17, "firstord": [17, 29, 62], "parti": [17, 51, 52, 53, 75], "15274": 17, "15072": 17, "16004": 17, "13394": 17, "16340": 17, "16690": 17, "16686": 17, "spawn": [17, 54], "16837": 17, "16519": 17, "untouch": [17, 41], "16842": 17, "16230": 17, "16224": 17, "16168": 17, "16438": 17, "16375": 17, "nontermin": [17, 29, 54, 55, 71], "adhoc": [17, 37], "16440": 17, "16395": 17, "14141": 17, "16931": 17, "16929": 17, "16981": 17, "16602": 17, "17069": 17, "12575": 17, "unsupport": [17, 29, 35, 38, 52, 59], "17113": 17, "17110": 17, "cover": [17, 44, 54, 57, 65], "_coqproject": [17, 25, 51, 52], "15888": 17, "16308": 17, "raci": 17, "16757": 17, "omiss": 17, "17090": 17, "15933": 17, "operand": [17, 64], "16355": 17, "behalf": 17, "bedrock": 17, "inc": 17, "rememb": [17, 52, 57, 58, 75], "r_dist": 17, "spell": 17, "rdist": 17, "16874": 17, "superflu": [17, 24], "rs_r": 17, "_r": [17, 41], "a_right": 17, "ls_l": 17, "_l": [17, 34], "lbase": 17, "a_left": 17, "redund": [17, 24, 43, 46, 57], "gcd_uniqu": 17, "gcd_unique_alt": 17, "divide_gcd_iff": 17, "gcd_mul_diag_l": 17, "16203": 17, "jmeq": [17, 67], "16436": 17, "finite_alt": 17, "finfun": 17, "newli": [17, 60, 67], "finite_dec": 17, "16489": 17, "16479": 17, "zmod": 17, "zdiv_eucl_po": 17, "zmod_pos_bound": 17, "zmod_neg_bound": 17, "16892": 17, "nz": 17, "16914": 17, "permutation_incl_cons_inv_r": 17, "permutation_pigeonhol": 17, "permutation_pigeonhole_rel": 17, "forall2_cons_iff": 17, "forall2_length": 17, "forall2_impl": 17, "forall2_flip": 17, "forall_exists_exists_forall2": 17, "15986": 17, "dominiqu": 17, "larchei": 17, "wendl": 17, "div0": [17, 59], "lcm0": 17, "16186": 17, "measure_induct": 17, "induction_ltof1": 17, "lemmata": 17, "listing_decidable_eq": 17, "nodup_list_decid": 17, "listdec": 17, "not_nodup": 17, "nodup_app_remove_l": 17, "nodup_app_remove_r": 17, "16588": 17, "skipn_skipn": 17, "16632": 17, "nth_error_ext": 17, "map_repeat": 17, "rev_repeat": 17, "to_list_nil_iff": 17, "to_list_inj": 17, "16756": 17, "extgcd": 17, "euclid_rec": 17, "euclid_intro": 17, "znumtheori": 17, "16915": 17, "15560": 17, "16007": 17, "16118": 17, "diff": [17, 24, 25, 51, 53, 54], "absolut": [17, 24, 35, 51, 53, 55, 71], "strip": [17, 58], "16268": 17, "ondemand": [17, 51], "16997": 17, "got": [17, 34, 67], "16512": 17, "nomacintegr": 17, "16531": 17, "15494": 17, "16925": 17, "16947": 17, "16959": 17, "16988": 17, "16991": 17, "16996": 17, "16999": 17, "17010": 17, "17015": 17, "offici": [17, 54], "15867": 17, "alphabet": [17, 60], "16725": 17, "varieti": [17, 24], "17270": 17, "16571": 17, "17324": 17, "12813": 17, "14843": 17, "16677": 17, "redo": [17, 57, 67], "byextend": 17, "17495": 17, "17488": 17, "mathcomp": [17, 57], "17743": 17, "strong": [17, 24, 27, 31, 34, 64, 67, 77], "fullfil": 17, "reorgan": 17, "57": 17, "bodin": 17, "minki": 17, "cho": 17, "juan": 17, "conejero": 17, "cran": 17, "adrian": 17, "dapprich": 17, "st\u00e9phane": 17, "desarzen": 17, "christian": 17, "doczkal": 17, "attila": 17, "g\u00e1sp\u00e1r": 17, "jasper": 17, "hugunin": 17, "bart": 17, "jacob": 17, "jurgensen": 17, "ethan": 17, "kuefner": 17, "fabian": 17, "kunz": 17, "francoi": 17, "monin": [17, 24], "peterson": 17, "seth": 17, "poulsen": 17, "takafumi": 17, "saikawa": 17, "gabriel": 17, "scherer": 17, "kartik": 17, "singhal": 17, "356": 17, "99": [17, 27, 71], "june": [17, 24], "2022": 17, "artifici": [17, 24, 67, 71], "obstacl": [17, 42], "restor": [17, 29, 54, 57, 66], "physic": [17, 24, 35, 51, 53, 59, 75], "decad": 17, "specialist": 17, "truth": [17, 54, 57], "15434": 17, "incident": 17, "5702": 17, "15668": 17, "15621": 17, "15965": 17, "inlin": [17, 24, 25, 28, 35, 64, 66, 72, 75], "15412": 17, "15403": 17, "cheap": 17, "15575": 17, "14015": 17, "blowup": 17, "noncumul": [17, 25, 29], "15662": 17, "11741": 17, "14563": 17, "15693": 17, "freedom": 17, "15789": 17, "2828": 17, "4593": 17, "3115": 17, "5222": 17, "9696": 17, "8540": 17, "princip": [17, 24, 34, 57, 72, 77], "15581": 17, "13157": 17, "arg": [17, 24, 28, 37, 44, 51, 53, 55, 57, 60, 67], "15754": 17, "15291": 17, "7911": 17, "15884": 17, "15843": 17, "13969": 17, "7916": 17, "14138": 17, "13618": 17, "15215": 17, "15214": 17, "15426": 17, "3051": 17, "15448": 17, "closur": [17, 24, 31, 54, 55, 62, 66], "15728": 17, "10970": 17, "15277": 17, "14137": 17, "4632": 17, "5384": 17, "5521": 17, "6278": 17, "7675": 17, "8739": 17, "11011": 17, "12240": 17, "15279": 17, "aka": [17, 72], "15921": 17, "15289": 17, "5304": 17, "nomatch": [17, 41], "15657": 17, "3989": 17, "15206": 17, "15559": 17, "15554": 17, "toplevel_selector": [17, 29, 54, 58], "obei": [17, 24, 37], "buggi": [17, 25, 33], "15378": 17, "asr": 17, "lsl": 17, "lsr": 17, "lor": [17, 59], "lxor": [17, 59], "lnot": [17, 75], "15637": 17, "eappli": [17, 54, 58, 60, 66, 67, 71], "15741": 17, "suff": [17, 25], "wlog": [17, 25], "15355": 17, "15366": 17, "15424": 17, "15410": 17, "subproof": [17, 34, 66, 67], "autogener": 17, "15442": 17, "15268": 17, "15669": 17, "simplex": 17, "15690": 17, "workflow": 17, "15652": 17, "wild": [17, 57], "15752": 17, "15526": 17, "15527": 17, "15650": 17, "15600": 17, "15683": 17, "14907": 17, "4436": 17, "7730": 17, "15760": 17, "15802": 17, "15853": 17, "filtered_import": [17, 35, 59], "15945": 17, "14872": 17, "15347": 17, "3556": 17, "coqplugininstal": [17, 53], "15788": 17, "15886": 17, "15511": 17, "15497": 17, "16070": 17, "signaturet": 17, "15446": 17, "permutation_app": 17, "permutation_con": 17, "15597": 17, "15596": 17, "npeano": 17, "arith_bas": [17, 59], "pariti": 17, "even_alt": 17, "odd_alt": 17, "even_odd_ind": 17, "odd_even_ind": 17, "even_alt_even": 17, "odd_alt_odd": 17, "peano": [17, 24, 27, 34, 57, 60, 71], "phase": [17, 24, 52, 54, 55, 57, 64, 72], "discourag": [17, 29, 32, 35, 53, 54, 55, 58, 59, 60, 66], "14736": 17, "15411": 17, "logic_typ": 17, "nott": [17, 27], "15256": 17, "p_rmin": 17, "rmin_cas": 17, "15388": 17, "15382": 17, "count_occ_rev": 17, "15397": 17, "oddt": 17, "event_oddt_dec": 17, "event_oddt_rect": 17, "oddt_event_rect": 17, "15427": 17, "sin": 17, "15599": 17, "geb_g": 17, "gtb_gt": 17, "15620": 17, "rinv_inv": 17, "rinv_mult": 17, "rinv_opp": 17, "rinv_div": 17, "rdiv_opp_r": 17, "rsqr_div": 17, "rsqr_inv": 17, "sqrt_inv": 17, "rabs_inv": 17, "pow_inv": 17, "powerrz_inv": 17, "powerrz_neg": 17, "powerrz_mult": 17, "cv_infty_cv_0": 17, "15644": 17, "15719": 17, "le_add_l": 17, "naddord": 17, "le_plus_r": 17, "16184": 17, "lablgtk3": 17, "15947": 17, "consequ": [17, 24, 26, 29, 34, 38, 39, 42, 43, 44, 46, 52, 57, 60], "aac": 17, "15220": 17, "7698": 17, "minimum": 17, "15483": 17, "16005": 17, "16030": 17, "15496": 17, "09": 17, "ocamlfind": [17, 53, 59], "16046": 17, "14260": 17, "16015": 17, "extrocamlint63": [17, 36], "sint63": [17, 36], "15294": 17, "15280": 17, "pervas": 17, "15333": 17, "nicolo": 17, "07": [17, 77], "15967": 17, "15098": 17, "hexadecim": [17, 29, 36, 52, 59], "conflict": [17, 24, 25, 46, 54, 55, 71], "13460": 17, "7017": 17, "13288": 17, "16651": 17, "16645": 17, "16768": 17, "16752": 17, "16845": 17, "16831": 17, "16850": 17, "16829": 17, "buys": 17, "16434": 17, "16411": 17, "won": [17, 25, 38, 52, 53, 54, 55, 58, 62, 64, 67, 71, 73], "16142": [17, 52], "13550": 17, "net": 17, "visual": [17, 51, 52, 54, 66, 71], "zimmerman": [17, 24], "coqdev": 17, "384": 17, "143": [17, 53], "functori": 17, "15385": 17, "9555": 17, "wait": [17, 55, 66], "14705": 17, "14573": 17, "11099": 17, "control_command": [17, 29, 59], "sentenc": [17, 24, 29, 36, 52, 54, 55, 57, 59, 75], "14750": 17, "14606": 17, "4167": 17, "14668": 17, "3527": 17, "role": [17, 26, 33, 42, 55, 71, 75], "14967": 17, "14938": 17, "14672": 17, "14819": 17, "14525": 17, "15340": 17, "15335": 17, "14379": 17, "11402": 17, "14493": 17, "12777": 17, "14486": 17, "14713": 17, "14708": 17, "15338": 17, "15334": 17, "13837": 17, "13759": 17, "circumv": 17, "observ": [17, 34, 37, 40, 54, 55, 59, 66, 71], "14679": 17, "14874": 17, "recognit": [17, 75], "14722": 17, "undiscrimin": [17, 60], "14848": 17, "14989": 17, "6109": 17, "uconstr": [17, 54, 71], "15171": 17, "15204": 17, "4555": 17, "7674": 17, "14527": 17, "capit": [17, 29, 74], "15193": 17, "15194": 17, "15314": 17, "15300": 17, "po": [17, 24, 59, 71], "nsucc_doubl": 17, "ndoubl": 17, "succ_doubl": 17, "succ_po": 17, "to_po": 17, "10998": 17, "13952": 17, "13942": 17, "14125": 17, "14439": 17, "14657": 17, "13778": 17, "5394": 17, "13189": 17, "14673": 17, "4415": 17, "14693": 17, "13859": 17, "14650": 17, "14651": 17, "14662": 17, "14683": 17, "5548": 17, "14732": 17, "14731": 17, "14758": 17, "14734": 17, "6976": 17, "14984": 17, "11689": 17, "14986": 17, "5369": 17, "15245": 17, "15244": 17, "15250": 17, "15122": 17, "14314": 17, "5706": 17, "ssrsearch": 17, "ssr": [17, 57, 59, 66], "13760": 17, "757": 17, "negpp": 17, "orpp": 17, "andpp": 17, "implypp": 17, "15059": 17, "14660": 17, "12770": 17, "14687": 17, "14678": 17, "14596": 17, "13830": 17, "14685": 17, "14513": 17, "14802": 17, "14801": 17, "15078": 17, "14529": 17, "notempl": 17, "grab": 17, "outputst": 17, "14940": 17, "usag": [17, 24, 25, 27, 51, 53, 54, 58, 60, 64], "15056": 17, "13296": 17, "15272": 17, "14697": 17, "mangl": [17, 51, 58, 66], "_0": 17, "_foo": 17, "14695": 17, "14548": 17, "14699": 17, "13150": 17, "14892": 17, "15139": 17, "14930": 17, "submodul": [17, 35], "subsect": [17, 24, 34, 42, 75], "14780": 17, "14446": 17, "14901": 17, "14899": 17, "coqlib_path": 17, "coqlib_url": [17, 75], "14059": 17, "unquot": [17, 53, 55], "14558": 17, "unambigu": [17, 32, 44, 53, 59], "preced": [17, 25, 27, 29, 46, 54, 57, 58, 60, 66, 75], "14718": 17, "coqbin": [17, 51, 53], "14787": 17, "14957": 17, "phoni": [17, 53], "opt": [17, 24, 53, 55, 71], "subdirectori": [17, 51, 53, 59, 60], "docroot": [17, 53], "installcoqdocroot": 17, "disambigu": [17, 44, 57, 71], "11631": 17, "14539": 17, "13541": 17, "9319": 17, "14996": 17, "7393": 17, "bracket": [17, 24, 26, 44, 54, 57, 59, 66, 71, 75], "langl": 17, "cjk": [17, 29], "14452": 17, "uninstal": [17, 25], "desktop": 17, "14696": 17, "14310": 17, "breakpoint": [17, 25], "14644": 17, "13967": 17, "14863": 17, "14574": 17, "14571": 17, "epsilon_smallest": 17, "formul": [17, 42], "le_not_lt": 17, "lt_not_l": 17, "14601": 17, "ascii": [17, 52, 53, 71, 75], "14234": 17, "_invol": 17, "_involut": 17, "15085": 17, "incoher": [17, 46], "adjoint": 17, "adjointif": 17, "13408": 17, "slexprod": 17, "relation_oper": 17, "wf_slexprod": 17, "lexicographic_product": 17, "14809": 17, "theri": [17, 24], "sigt": [17, 27, 67, 71], "sigtnot": 17, "14813": 17, "sigt_of_prod": 17, "prod_of_sigt": 17, "sigt_prod_sigt": 17, "prod_sigt_prod": 17, "split_combin": 17, "14458": 17, "artifact": 17, "facilit": [17, 51, 57], "bleed": 17, "edg": [17, 52], "reliabl": 17, "12425": 17, "gone": 17, "caml": [17, 24, 75], "vmbyteflag": 17, "topbin": 17, "toolchain": [17, 51], "nodebug": 17, "flambda": 17, "bindir": [17, 51], "coqdocdir": 17, "camldir": 17, "14189": 17, "etcdir": 17, "docdir": [17, 53], "14844": 17, "14879": 17, "14963": 17, "big_int_z": 17, "extrocamlnatbigint": 17, "extrocamlzbigint": 17, "extrocamlbigintconv": 17, "8252": 17, "extrocamlstr": 17, "extrocamlnativestr": 17, "15075": 17, "15076": 17, "15498": 17, "15451": 17, "15839": 17, "15838": 17, "15628": 17, "15619": 17, "15577": 17, "15568": 17, "15612": 17, "8080": 17, "15634": 17, "15606": 17, "15653": 17, "15567": 17, "vok": [17, 51], "15745": 17, "15532": 17, "15531": 17, "15633": 17, "15578": 17, "busi": 17, "accur": [17, 52, 53, 57, 71], "15714": 17, "15733": 17, "15675": 17, "15725": 17, "15537": 17, "15420": 17, "dintuit": [17, 62, 71], "hardcod": 17, "15866": 17, "7725": 17, "uncaught": [17, 55], "unabletounifi": 17, "bidirection": [17, 25], "16066": 17, "16063": 17, "15938": 17, "15861": 17, "15939": 17, "15882": 17, "15964": 17, "15799": 17, "15984": 17, "15873": 17, "15996": 17, "15912": 17, "15903": 17, "sfclassifi": 17, "16101": 17, "16096": 17, "cleaner": 17, "carri": 17, "coqn": 17, "omega": [17, 24], "greatli": [17, 24], "54": 17, "arthur": 17, "azevedo": 17, "amorim": 17, "simon": [17, 77], "frii": 17, "vindum": 17, "jacqu": 17, "henri": [17, 24], "jourdan": 17, "barri": 17, "trager": 17, "oscar": 17, "gariano": 17, "shenlebantongi": 17, "avi": 17, "shinnar": 17, "slrnsc": 17, "hendrik": 17, "tew": 17, "karolin": 17, "varner": 17, "ziliani": [17, 77], "522": 17, "150": [17, 55], "2021": [17, 77], "compact": [17, 24, 25, 34, 54, 57, 59, 66, 71], "static": [17, 24, 25, 53, 71], "\u03b2": [17, 25, 26, 57], "uncommon": 17, "breakag": 17, "tip": [17, 60], "repr": 17, "md": [17, 71], "13563": 17, "3166": 17, "13853": 17, "13849": 17, "14395": 17, "14317": 17, "14392": 17, "13911": 17, "14041": 17, "14386": 17, "9711": 17, "12975": 17, "14261": 17, "14207": 17, "unduli": 17, "14371": 17, "14374": 17, "13840": 17, "xxx_scope": 17, "yyy_scop": 17, "13965": 17, "13842": 17, "13519": 17, "13484": 17, "13517": 17, "abbr": 17, "my_scop": 17, "ahead": [17, 54], "sequenti": [17, 54, 55, 58, 64], "14070": 17, "14183": 17, "13654": 17, "gave": [17, 24, 58], "fatal": [17, 25, 57], "14257": 17, "14211": 17, "14377": 17, "13966": 17, "13568": 17, "13566": 17, "gfail": [17, 54, 60], "13469": 17, "trail": [17, 25, 57, 74, 75], "13509": 17, "13741": 17, "convert_concl_no_check": 17, "change_no_check": [17, 58, 64], "13761": 17, "13762": 17, "13696": 17, "13781": 17, "14528": 17, "13715": 17, "z_div_mod_eq_ful": 17, "14037": 17, "11447": 17, "14089": 17, "14083": 17, "inversion_sigma": 17, "ex2": [17, 24, 27, 55, 67], "exists2": [17, 27, 29, 57], "14174": 17, "14408": 17, "collis": [17, 24, 51], "13512": 17, "13413": 17, "13699": 17, "13579": 17, "invis": [17, 57], "erron": 17, "13882": 17, "12011": 17, "14033": 17, "9000": 17, "14009": 17, "14378": 17, "14124": 17, "diff_failur": 17, "14457": 17, "14425": 17, "15099": 17, "11504": 17, "14090": 17, "14610": 17, "14609": 17, "14128": 17, "printf": 17, "macro": [17, 24, 46, 66, 75], "13236": 17, "10108": 17, "emb": [17, 24, 71], "13442": 17, "12871": 17, "13774": 17, "12317": 17, "13914": 17, "13920": 17, "10095": 17, "13939": 17, "12806": 17, "ffi": [17, 25, 55], "13997": 17, "13996": 17, "lazy_and": 17, "lazy_or": 17, "lazy_impl": 17, "14081": 17, "13964": 17, "14094": 17, "11866": 17, "13473": 17, "backport": 17, "13490": 17, "13725": 17, "13724": 17, "alpha": [17, 31, 54, 55], "13852": 17, "13727": 17, "adjoin": 17, "13909": 17, "13912": 17, "13758": 17, "searchhead": 17, "headconcl": [17, 59], "13763": 17, "intead": 17, "13764": 17, "14208": 17, "13562": 17, "14336": 17, "13202": 17, "ho": [17, 29, 58], "rakam": [17, 64], "14093": 17, "14092": 17, "14148": 17, "14102": 17, "14100": 17, "14382": 17, "13589": 17, "bruijn": [17, 24, 31, 33, 77], "14664": 17, "14652": 17, "tho": 17, "13876": 17, "unread": [17, 59], "14024": 17, "14023": 17, "delete_on_error": 17, "14238": 17, "13822": 17, "12411": 17, "10912": 17, "13624": 17, "13581": 17, "14285": 17, "14283": 17, "chargu\u00e9raud": 17, "14265": 17, "14309": 17, "standalon": [17, 51], "hybrid": 17, "13287": 17, "prompt": [17, 24, 52, 54, 59], "13783": 17, "13810": 17, "rpower": 17, "exp_ineq1": 17, "exp_ineq1_l": 17, "13582": 17, "uniformli": [17, 24, 51], "14086": 17, "bring": [17, 59], "eq_ex_uncurri": 17, "eq_ex2_uncurri": 17, "eq_ex": 17, "eq_ex2": 17, "eq_ex_hprop": 17, "eq_ex2_hprop": 17, "eq_ex_intro_uncurri": 17, "eq_ex_intro2_uncurri": 17, "eq_ex_intro": 17, "eq_ex_intro2": 17, "eq_ex_intro_hprop": 17, "eq_ex_intro2_hprop": 17, "39": [17, 53, 71], "cauchi": 17, "qextra": 17, "q_factordenom": 17, "qmult_frac_l": 17, "q_reduce_fl": 17, "qreduce_num_l": 17, "qle_neq": 17, "qlt_leneq": 17, "qmult_lt_le_compat_nonneg": 17, "qmult_le_lt_compat_po": 17, "qpower_pos_lt": 17, "qpower_0_lt": 17, "qpower_lt_1_increas": 17, "qpower_1_lt_po": 17, "qpower_1_lt": 17, "qpower_le_1_increas": 17, "qpower_1_le_po": 17, "qpower_1_l": 17, "qzero_eq": 17, "qreduce_zero": 17, "qpower_lt_compat": 17, "qpower_lt_compat_l": 17, "qpower_le_compat": 17, "qpower_le_compat_l": 17, "qpower_lt_compat_inv": 17, "qpower_lt_compat_l_inv": 17, "qpower_le_compat_inv": 17, "qpower_le_compat_l_inv": 17, "qpower_decomp": 17, "qpower_decomp_po": 17, "qarchimedeanexp2_po": 17, "qarchimedean_power2_po": 17, "qinv_swap_po": 17, "qinv_po": 17, "qinv_swap_neg": 17, "qinv_neg": 17, "delet": [17, 52, 54, 57, 66], "q_factornum_l": 17, "q_factornum": 17, "qopp_lt_compat": 17, "qround": 17, "qarith_bas": 17, "exclud": [17, 34, 41, 51, 53, 54, 55, 57, 59], "14293": 17, "14343": 17, "13307": 17, "if_then_els": [17, 71], "IF": [17, 71], "13871": 17, "13986": 17, "13895": 17, "13080": 17, "remaind": [17, 34, 55], "13559": 17, "12109": 17, "to_list": 17, "length_to_list": 17, "of_list_to_list_opp": 17, "to_list_nil": 17, "to_list_con": 17, "to_list_hd": 17, "to_list_last": 17, "to_list_const": 17, "to_list_nth_ord": 17, "to_list_tl": 17, "to_list_append": 17, "to_list_rev_append_tail": 17, "to_list_rev_append": 17, "to_list_rev": 17, "to_list_map": 17, "to_list_fold_left": 17, "to_list_fold_right": 17, "to_list_foral": 17, "to_list_exist": 17, "to_list_in": 17, "to_list_forall2": 17, "13671": 17, "count_occ": 17, "count_occ_app": 17, "count_occ_elt_eq": 17, "count_occ_elt_neq": 17, "count_occ_bound": 17, "count_occ_repeat_eq": 17, "count_occ_repeat_neq": 17, "count_occ_uniqu": 17, "count_occ_repeat_excl": 17, "count_occ_sgt": 17, "permutation_count_occ": 17, "13804": 17, "exists_map": 17, "exists_concat": 17, "exists_flat_map": 17, "forall_concat": 17, "forall_flat_map": 17, "nth_error_map": 17, "nth_repeat": 17, "nth_error_repeat": 17, "13955": 17, "cantor": [17, 34], "to_nat": 17, "of_nat": 17, "14008": 17, "qeq_from_part": 17, "qden_cancel": 17, "qnum_cancel": 17, "qreduce_l": 17, "qreduce_r": 17, "qmult_inject_z_l": 17, "qmult_inject_z_r": 17, "qden": 17, "qnum": 17, "14087": 17, "ordersex": 17, "string_as_ot": 17, "ascii_as_ot": 17, "14096": 17, "app_eq_app": 17, "forall_nil_iff": 17, "14153": 17, "1803": 17, "hex_z_scop": 17, "hex_positive_scop": 17, "hex_n_scop": 17, "14263": 17, "14384": 17, "firstn": 17, "skipn": 17, "14406": 17, "ghc": 17, "unsafecoerc": 17, "newer": 17, "14345": 17, "14256": 17, "12567": 17, "compatibl": 17, "datadir": 17, "customiz": 17, "patch": 17, "13617": 17, "oldroot": 17, "coqprefixinstal": 17, "destdir": [17, 53], "akin": [17, 30, 55], "14258": 17, "13885": 17, "alter": [17, 35, 75], "stale": 17, "clean": [17, 53, 57, 67, 72], "13405": 17, "unix": [17, 24], "13586": 17, "store": [17, 52, 53, 57, 59, 60], "15081": 17, "15070": 17, "14666": 17, "14505": 17, "14671": 17, "10796": 17, "15046": 17, "15043": 17, "14669": 17, "14670": 17, "imper": [17, 24, 55], "bugfix": 17, "rational": [17, 55, 57], "guidelin": 17, "io": [17, 25], "v8": 17, "51": 17, "blaudeau": 17, "coolen": 17, "matthew": 17, "dempski": 17, "ignat": 17, "insarov": 17, "larri": [17, 24], "lee": [17, 77], "jr": 17, "letan": 17, "lott": 17, "yusuk": 17, "matsushita": 17, "carl": 17, "patenaud": 17, "poulin": 17, "edward": 17, "400": 17, "100": [17, 54, 60, 64, 71], "novemb": [17, 24, 77], "2020": 17, "10390": 17, "data": [17, 24, 27, 34, 36, 39, 53, 54, 55, 57, 64, 66, 77], "11604": 17, "13356": 17, "13354": 17, "loss": [17, 57], "12537": 17, "12525": 17, "12647": 17, "13501": 17, "13495": 17, "attr": [17, 29, 51], "13312": 17, "10331": 17, "12414": 17, "13188": 17, "6042": 17, "tweak": 17, "frequenc": 17, "mess": 17, "12756": 17, "12001": 17, "6785": 17, "13106": 17, "synonym": [17, 29, 37, 51, 57, 58, 64], "12653": 17, "serv": [17, 24, 25, 26, 40, 55, 57, 60], "12768": 17, "12762": 17, "13183": 17, "12586": 17, "13290": 17, "13278": 17, "13166": 17, "13165": 17, "13217": 17, "13216": 17, "illtypedinst": 17, "13376": 17, "13266": 17, "13383": 17, "11816": 17, "13386": 17, "9971": 17, "13387": 17, "12348": 17, "realli": [17, 32, 57], "presum": [17, 71], "11841": 17, "9514": 17, "modal": 17, "12099": 17, "pow_po": [17, 71], "blow": 17, "102e": 17, "reprint": [17, 66], "02": [17, 29, 53, 77], "12218": 17, "12685": 17, "12950": 17, "4738": 17, "9682": 17, "12908": 17, "mitig": [17, 57, 73], "adopt": [17, 57, 73, 75], "12986": 17, "12984": 17, "7443": 17, "10824": 17, "12979": 17, "11986": 17, "12035": 17, "12765": 17, "13265": 17, "12960": 17, "9403": 17, "10803": 17, "12965": 17, "9569": 17, "13092": 17, "13078": 17, "13415": 17, "13303": 17, "orient": [17, 24, 25, 54, 55, 57, 60, 64], "7825": 17, "4095": 17, "4413": 17, "13237": 17, "13235": 17, "occs_num": [17, 55, 58, 64], "complement": [17, 57], "13403": 17, "psatz": [17, 25], "13417": 17, "prolog": [17, 24, 60], "12399": 17, "12423": [17, 54], "info_eauto": [17, 60], "13381": 17, "11906": 17, "12246": 17, "9816": 17, "12552": 17, "zifyint63": 17, "12648": 17, "tmp": 17, "13337": 17, "13336": 17, "13373": 17, "13363": 17, "13232": 17, "10110": 17, "13028": 17, "9716": 17, "13004": 17, "dup": [17, 57], "13317": 17, "13458": 17, "13459": 17, "prim": [17, 71], "13096": 17, "13139": 17, "6261": 17, "13016": 17, "13384": 17, "12516": 17, "13388": 17, "13255": 17, "13244": 17, "noinit": [17, 29, 51, 66], "13339": 17, "13345": 17, "13344": 17, "precompil": [17, 25, 51, 64], "48": [17, 51], "13352": 17, "folder": [17, 52, 53], "coqlibinstal": [17, 53], "coqdocinstal": [17, 53], "12389": 17, "12613": 17, "12862": 17, "12845": 17, "12874": 17, "13145": 17, "epsilon": [17, 60], "modulu": 17, "converg": 17, "creal": 17, "coarser": 17, "12186": 17, "int63not": 17, "unqualifi": [17, 35, 55, 71], "12479": 17, "12454": 17, "primfloat": [17, 36, 59, 71], "primfloatnot": 17, "12556": 17, "bignum": [17, 53], "coqprim": 17, "6f62bda": 17, "12801": 17, "suppli": [17, 37, 57, 62], "12861": 17, "12860": 17, "uncurri": 17, "curri": [17, 24, 26, 66, 77], "12716": 17, "repeat_app": 17, "repeat_eq_app": 17, "repeat_eq_con": 17, "repeat_eq_elt": 17, "forall_eq_repeat": 17, "permutation_repeat": 17, "12799": 17, "app_inj_tail_iff": 17, "app_inv_head_iff": 17, "app_inv_tail_iff": 17, "12094": 17, "12093": 17, "negat": [17, 27, 51, 54, 57, 58, 60, 62, 67], "12420": 17, "fix_f_inv": [17, 27], "fix_eq": [17, 27], "13365": 17, "gc": [17, 66], "polici": [17, 57, 74], "welcom": [17, 54], "tune": [17, 38, 42, 64], "ocamlrunparam": [17, 51, 66], "13040": 17, "11277": 17, "gmp": 17, "upstream": [17, 53], "bigint": [17, 29, 71], "11742": 17, "13007": 17, "vicent": 17, "overriden": 17, "overridden": [17, 27, 54, 57, 71, 75], "13556": 17, "opcod": 17, "13867": 17, "13870": 17, "crash": 17, "irreduc": [17, 37, 64, 71], "parrai": [17, 36], "14005": 17, "13998": 17, "marshal": 17, "14007": 17, "14006": 17, "incur": [17, 66], "14012": 17, "14011": 17, "coher": [17, 41], "organ": [17, 24, 25, 53, 54, 57], "11295": 17, "charg": 17, "chanc": [17, 53], "pool": [17, 62], "maintaint": 17, "31": 17, "abhishek": 17, "anand": 17, "boulier": 17, "carbonneaux": 17, "erika": 17, "rrika": 17, "nikita": 17, "eshkeev": 17, "xavier": [17, 77], "leroi": [17, 24, 77], "ik": 17, "mulder": 17, "antonio": 17, "nikishaev": 17, "lar": 17, "rasmusson": 17, "daniel": [17, 24], "rauglaudr": [17, 24], "talia": 17, "ringer": 17, "scinart": 17, "treinen": 17, "wiedemann": 17, "gitter": 17, "500": 17, "nan": [17, 71], "12484": 17, "12483": 17, "11368": 17, "simonbouli": 17, "postpon": [17, 58, 66], "stage": [17, 34, 42, 55, 66], "10858": 17, "9058": 17, "10202": 17, "11098": 17, "4696": 17, "5173": 17, "9098": 17, "11235": 17, "inhibit": [17, 57], "11261": 17, "10366": 17, "11600": 17, "12121": 17, "11579": 17, "7253": 17, "11585": 17, "12323": 17, "12322": 17, "12422": 17, "12418": 17, "beforehand": [17, 51, 55], "11120": 17, "11172": 17, "nicer": 17, "15e": 17, "11848": 17, "11113": 17, "uint": [17, 59, 71], "11948": 17, "11602": 17, "11650": 17, "0x2a": 17, "0xb": 17, "2ap": 17, "8808": 17, "10832": 17, "6092": 17, "7766": 17, "4690": 17, "11091": 17, "uselessli": 17, "11590": 17, "9741": 17, "12163": 17, "12159": 17, "rappli": [17, 58], "codomain": [17, 42, 71], "loop": [17, 24, 25, 51, 53, 55, 58, 60, 63], "10760": 17, "fewer": [17, 51, 58, 64, 66], "spurious": 17, "11018": 17, "nativecomput": [17, 64], "11025": 17, "11962": 17, "11963": 17, "preomega": 17, "elim_let": 17, "11370": 17, "11429": 17, "backtrac": [17, 25, 55, 59], "11755": 17, "11760": 17, "autounfold": [17, 60], "11883": 17, "12023": 17, "indirectli": [17, 24, 58, 59, 60, 74], "12146": 17, "10812": 17, "12139": 17, "12256": 17, "5764": 17, "5159": 17, "4925": 17, "11727": 17, "parenthesi": [17, 57, 66], "12326": 17, "eexist": [17, 43, 60, 66, 67], "12366": 17, "12365": 17, "11288": 17, "_eqn": 17, "eqn": [17, 40, 55, 57, 58, 67, 71], "11877": 17, "11976": 17, "pred_doubl": 17, "pred_n": 17, "add_carri": 17, "quot2": 17, "iszero": 17, "islezero": 17, "11474": 17, "11522": 17, "with_strategi": [17, 64, 71], "12129": 17, "12213": 17, "12210": 17, "zifypow": 17, "11362": 17, "11191": 17, "11436": 17, "7812": 17, "11761": 17, "12254": 17, "10343": 17, "11503": 17, "eenough": [17, 43, 58], "11740": 17, "of_goal": 17, "in_goal": 17, "11882": 17, "11981": 17, "inflat": 17, "12196": 17, "12197": 17, "8855": 17, "12253": 17, "11665": 17, "11185": 17, "unsound": [17, 34], "gradual": [17, 58], "11546": 17, "shrink": [17, 66], "11828": 17, "11663": 17, "11162": 17, "11812": 17, "12034": 17, "11258": 17, "11795": 17, "11972": 17, "width": [17, 59, 71], "12358": 17, "11618": 17, "11746": 17, "searchabout": [17, 24], "11944": 17, "7791": 17, "10747": 17, "11164": 17, "contrainst": 17, "11534": 17, "headhyp": [17, 59], "concl": [17, 59], "12295": 17, "12233": 17, "12296": 17, "12234": 17, "ocamldep": 17, "mldep": 17, "slash": [17, 57], "dumpbox": 17, "boot": 17, "11523": 17, "11589": 17, "rfrom": [17, 51], "lv": [17, 51], "11851": 17, "12097": 17, "cleanal": [17, 53], "12006": 17, "stem": 17, "12126": 17, "12211": 17, "newlin": [17, 24, 29, 53, 54, 71, 75], "text": [17, 24, 51, 52, 53, 57, 59, 66, 71, 75], "12368": 17, "11409": 17, "confusingli": [17, 58], "12005": 17, "portion": [17, 57], "foldabl": 17, "10592": 17, "py": 17, "fuzz": 17, "offset": [17, 53], "log": [17, 24, 53, 54], "timing_fuzz": [17, 53], "11302": 17, "timing_r": [17, 53], "timing_sort_bi": [17, 53], "peak": [17, 53, 66], "mem": [17, 53], "timing_include_mem": [17, 53], "timing_sort_by_mem": [17, 53], "11606": 17, "11617": 17, "html": [17, 25, 29, 53], "url": [17, 27, 52, 75, 77], "12026": 17, "7093": 17, "hyperlink": [17, 25, 29], "12033": 17, "7697": 17, "12091": 17, "11301": 17, "determinist": 17, "12027": 17, "3415": 17, "mismatch": [17, 46, 53], "throw": [17, 55], "uninform": 17, "12037": 17, "9670": 17, "12076": 17, "5030": 17, "corner": [17, 64], "12388": 17, "12387": 17, "unmaintain": 17, "11414": 17, "11415": 17, "zn2z": 17, "\u03c6": [17, 64, 71], "11686": 17, "sorted_sort": 17, "locallysorted_sort": 17, "mergesort": 17, "11885": 17, "lysxia": 17, "natord": 17, "35": [17, 27, 53], "11890": 17, "11891": 17, "11905": 17, "11909": 17, "listnot": [17, 54, 72], "11992": 17, "12073": 17, "5445": 17, "nodup_incl_nodup": 17, "nodup_permutation_bi": 17, "12120": 17, "11903": 17, "12162": 17, "bezout_comm": 17, "11127": 17, "rew": [17, 67, 77], "eqnot": 17, "11240": 17, "in_elt": 17, "in_elt_inv": 17, "app_nth2_plu": 17, "nth_middl": 17, "nth_ext": 17, "last_last": 17, "removelast_last": 17, "remove_con": 17, "remove_app": 17, "notin_remov": 17, "in_remov": 17, "in_in_remov": 17, "remove_remove_comm": 17, "remove_remove_eq": 17, "remove_length_l": 17, "remove_length_lt": 17, "in_concat": 17, "remove_concat": 17, "flat_map": [17, 24], "map_last": 17, "map_eq_con": 17, "map_eq_app": 17, "flat_map_app": 17, "flat_map_ext": 17, "nth_nth_nth_map": 17, "incl": [17, 59], "incl_nil_l": 17, "incl_l_nil": 17, "incl_cons_inv": 17, "incl_app_app": 17, "incl_app_inv": 17, "remove_incl": 17, "incl_map": 17, "incl_filt": 17, "incl_forall_in_iff": 17, "nodup_rev": 17, "nodup_filt": 17, "nodup_incl": 17, "exists_nth": 17, "exists_app": 17, "exists_rev": 17, "exists_fold_right": 17, "incl_exist": 17, "forall_app": 17, "forall_elt": 17, "forall_fold_right": 17, "incl_foral": 17, "map_ext_foral": 17, "exists_or": 17, "exists_or_inv": 17, "forall_and": 17, "forall_and_inv": 17, "exists_foral": 17, "forall_imag": 17, "concat_nil_foral": 17, "in_flat_map_exist": 17, "notin_flat_map_foral": 17, "repeat_con": 17, "repeat_to_concat": 17, "list_sum": 17, "list_max": 17, "list_sum_app": 17, "list_max_app": 17, "list_max_l": 17, "list_max_lt": 17, "misc": [17, 24, 52], "elt_eq_unit": 17, "last_length": 17, "rev_eq_app": 17, "removelast_firstn_len": 17, "cons_seq": 17, "seq_": 17, "11249": 17, "12237": 17, "lt_wf_rect1": 17, "lt_wf_rect": 17, "gt_wf_rect": 17, "lt_wf_double_rect": 17, "11335": 17, "11350": 17, "11880": 17, "permutation_refl": 17, "permutation_morph_transp": 17, "permutation_app_rot": 17, "permutation_app_swap_app": 17, "permutation_app_middl": 17, "permutation_middle2": 17, "permutation_elt": 17, "permutation_foral": 17, "permutation_exist": 17, "permutation_forall2": 17, "permutation_flat_map": 17, "permutation_list_sum": 17, "permutation_list_max": 17, "permutation_app_inv_m": 17, "permutation_vs_elt_inv": 17, "permutation_vs_cons_inv": 17, "permutation_vs_cons_cons_inv": 17, "permutation_map_inv": 17, "permutation_imag": 17, "permutation_elt_map_inv": 17, "transposit": 17, "permutation_transp": 17, "permutation_transp_sym": 17, "permutation_transp_equiv": 17, "permutation_transp_con": 17, "permutation_permutation_transp": 17, "permutation_ind_transp": 17, "11946": 17, "pat": [17, 55], "11957": 17, "boolord": 17, "bool_as_ot": 17, "bool_as_dt": 17, "12008": 17, "nth_order": 17, "nth_order_hd": 17, "nth_order_tl": 17, "nth_order_ext": 17, "nth_order_replace_eq": 17, "nth_order_replace_neq": 17, "replace_id": 17, "replace_replace_eq": 17, "replace_replace_neq": 17, "map_id": 17, "map_map": 17, "map_ext_in": 17, "map_ext": 17, "forall2": 17, "forall_impl": 17, "forall_foral": 17, "forall_nth_ord": 17, "forall2_nth_ord": 17, "12014": 17, "orb_negb_l": 17, "andb_negb_l": 17, "implb_true_iff": 17, "implb_false_iff": 17, "implb_true_r": 17, "implb_false_r": 17, "implb_true_l": 17, "implb_false_l": 17, "implb_sam": 17, "implb_contraposit": 17, "implb_negb": 17, "implb_curri": 17, "implb_andb_distrib_r": 17, "implb_orb_distrib_r": 17, "implb_orb_distrib_l": 17, "12018": 17, "cpermut": 17, "12031": 17, "orderedtypeex": 17, "12044": 17, "eth": 17, "protonmail": 17, "12015": 17, "tan_is_inj": 17, "tan_inj": 17, "atan_right_inv": 17, "tan_atan": 17, "ratan": 17, "9803": 17, "crzero": 17, "crone": 17, "cr_of_q": 17, "constructiver": 17, "constructiveminmax": 17, "constructivepow": 17, "11725": 17, "12287": 17, "12288": 17, "cons_rlist": 17, "app_rlist": 17, "app": [17, 26, 34, 35, 55, 58, 67], "11404": 17, "trigonometr": [17, 24], "asin": 17, "aco": 17, "sine": 17, "cosin": 17, "horizont": [17, 29, 53, 71, 75], "mirror": 17, "rsqr": 17, "sqrt": [17, 59], "posreal": 17, "extocamlnativestr": 17, "10486": 17, "extrhaskellstr": 17, "extrhaskellbas": 17, "12263": 17, "12257": 17, "12258": 17, "restructur": [17, 24], "43": [17, 53, 54], "11601": 17, "11871": 17, "11914": 17, "12148": 17, "12172": 17, "12239": 17, "12330": 17, "inspir": [17, 24, 75], "led": [17, 24], "11183": 17, "11314": 17, "11423": 17, "11705": 17, "11718": 17, "11720": 17, "11961": 17, "12103": 17, "11869": 17, "12150": 17, "12224": 17, "12286": 17, "thoroughli": [17, 55], "understood": [17, 32, 34, 36, 60, 71, 75], "doc_grammar": 17, "signific": [17, 24, 51, 63, 66], "revis": [17, 24, 55], "9884": 17, "10614": 17, "11797": 17, "11913": 17, "11958": 17, "11960": 17, "sphinx_rtd_them": 17, "sphinxcontrib": 17, "bibtex": 17, "11245": 17, "12523": 17, "11121": 17, "12683": 17, "12682": 17, "12572": 17, "12571": 17, "12541": 17, "12228": 17, "12594": 17, "12595": 17, "ast_closure_term": 17, "12708": 17, "12707": 17, "12677": 17, "12513": 17, "undeprec": 17, "12678": 17, "11970": 17, "12562": 17, "10988": 17, "twice": [17, 34, 51, 59, 64, 66], "row": [17, 46], "meantim": 17, "12583": 17, "12582": 17, "12738": 17, "7015": 17, "13331": 17, "13330": 17, "undetect": [17, 46], "lone": [17, 71], "12946": 17, "13026": 17, "12775": 17, "13018": 17, "hott": [17, 40], "12847": 17, "12846": 17, "12816": 17, "12787": 17, "13247": 17, "12773": 17, "12992": 17, "12857": 17, "12837": 17, "13301": 17, "13298": 17, "13351": 17, "13349": 17, "12754": 17, "12752": 17, "advertis": 17, "12772": 17, "sync": 17, "13063": 17, "13062": 17, "12794": 17, "13067": 17, "12793": 17, "12972": 17, "13011": 17, "12332": 17, "13436": 17, "13432": 17, "13468": 17, "13456": 17, "brought": 17, "scale": [17, 24, 51, 57, 64, 71], "binary64": [17, 36], "ieee": [17, 36, 77], "754": [17, 36], "relianc": 17, "bidirect": 17, "axiomatis": 17, "critic": [17, 24, 33, 54, 59], "61": [17, 53, 54, 57], "adam": 17, "allai": 17, "helg": 17, "bahmann": 17, "langston": 17, "barrett": 17, "bertholon": 17, "michel": [17, 24], "caci": 17, "dabrowski": 17, "arma\u00ebl": 17, "gu\u00e9neau": 17, "florent": 17, "hivert": 17, "shachar": 17, "itzhaki": 17, "leli\u00e8vr": 17, "nichola": 17, "lewycki": 17, "jose": 17, "fernando": 17, "lopez": 17, "fernandez": 17, "lyng": 17, "alexandr": 17, "moin": 17, "nash": 17, "nawrocki": 17, "rand": 17, "jp": 17, "rodi": 17, "spanjel": 17, "claud": 17, "stolz": 17, "wilcox": 17, "exhaust": [17, 29, 46, 53, 54, 55, 59], "everybodi": 17, "extent": [17, 71], "influenc": [17, 24, 34], "sixth": 17, "cycl": 17, "assist": [17, 24, 25, 33, 65, 75], "2000": [17, 77], "300": [17, 24], "75": [17, 27, 71], "pari": [17, 77], "2019": [17, 77], "devis": 17, "processor": [17, 36], "nearest": [17, 54], "axiomat": [17, 24, 36, 54, 71], "floataxiom": 17, "9867": 17, "8276": 17, "10439": 17, "10664": 17, "10811": 17, "10049": 17, "10076": 17, "disj": [17, 71], "10167": 17, "10215": 17, "10441": 17, "telescop": 17, "10758": 17, "10757": 17, "human": [17, 25, 58, 75], "prose": 17, "10985": 17, "10996": 17, "10997": 17, "3282": 17, "11132": 17, "thing": [17, 52, 54, 55, 59, 67, 72], "9883": 17, "10180": 17, "connect": [17, 25, 57, 62, 71], "10963": 17, "simple_intropattern": [17, 55, 58, 67, 71, 72], "9288": 17, "cope": 17, "9856": 17, "8898": 17, "7886": 17, "9848": 17, "5155": 17, "10318": 17, "10765": 17, "10772": 17, "to_n": 17, "10774": 17, "9162": 17, "multisuccess": 17, "10966": 17, "10965": 17, "9114": 17, "10002": 17, "10289": 17, "white": [17, 57], "10324": 17, "10088": 17, "tag": [17, 24, 51, 52, 57, 66], "unwant": 17, "under_rel": 17, "unprotect": [17, 57], "10022": 17, "void": 17, "empty_set": [17, 40, 62, 71], "10932": 17, "inj_compr": 17, "11136": 17, "9530": 17, "3632": 17, "3890": 17, "4638": 17, "10173": 17, "10185": 17, "10277": 17, "10291": 17, "10476": 17, "prooftre": [17, 59, 66], "10489": 17, "4504": 17, "10399": 17, "10400": 17, "10494": 17, "addpath": [17, 24], "addrecpath": [17, 24], "delpath": [17, 24], "11187": 17, "8642": 17, "shorthand": [17, 41, 54, 57, 64], "refrom": [17, 51], "rifrom": [17, 51], "10245": 17, "vdfile": 17, "coexist": 17, "10947": 17, "11068": 17, "orderedtyp": [17, 60], "ordered_typ": [17, 60], "9772": 17, "zlogarithm": [17, 24], "zsqrt_compat": 17, "9811": 17, "constructivecauchyr": 17, "10445": 17, "classicaldedekindr": 17, "dedekind": 17, "omnisci": 17, "rdefinit": 17, "raxiom": 17, "10827": 17, "nth_error": 17, "10651": 17, "10731": 17, "morgan": 17, "law": [17, 24, 25], "classicalfact": 17, "10895": 17, "08": [17, 77], "10471": 17, "11081": 17, "11360": 17, "11361": 17, "11422": 17, "10657": 17, "11233": 17, "11231": 17, "jai": 17, "11276": 17, "10750": 17, "11311": 17, "9532": 17, "9490": 17, "10762": 17, "11203": 17, "10971": 17, "9725": 17, "11263": 17, "11063": 17, "11242": 17, "11270": 17, "11337": 17, "11430": 17, "cofix": [17, 25, 28, 29, 31, 44, 54, 55, 57, 64, 67], "11241": 17, "11428": 17, "11255": 17, "11254": 17, "11280": 17, "camlpkg": [17, 53], "unpack": 17, "mllib": [17, 53], "11357": 17, "11394": 17, "11353": 17, "gtksourceview": [17, 52], "autocomplet": 17, "11400": 17, "ranalysi": [17, 24], "ranalysis_reg": 17, "11396": 17, "source_date_epoch": 17, "11227": 17, "11811": 17, "11530": 17, "9517": 17, "9519": 17, "9521": 17, "11331": 17, "11859": 17, "10008": 17, "snyke7": 17, "11595": 17, "11131": 17, "11123": 17, "11102": 17, "11329": 17, "11114": 17, "11783": 17, "boro": 17, "12116": 17, "12045": 17, "12223": 17, "12152": 17, "12255": 17, "12070": 17, "gtk": [17, 52], "gtk_csd": 17, "12060": 17, "11080": 17, "random": 17, "12068": 17, "11943": 17, "12106": 17, "11506": 17, "stabil": 17, "6914": 17, "8817": 17, "discov": [17, 53], "9602": 17, "sigt2": [17, 27, 67], "sigt_of_sigt2": 17, "projt3_eq": 17, "8451": 17, "8850": 17, "8965": 17, "02e": [17, 29], "01": [17, 53], "8764": 17, "9142": 17, "7769": 17, "7385": 17, "novel": [17, 25], "vener": 17, "fourier": [17, 24], "8457": 17, "fr\u00e9deric": 17, "mytac": [17, 55, 57], "6705": 17, "liner": [17, 25], "contextu": [17, 24, 25, 31, 41], "rh": [17, 55, 57, 59], "eq_big": [17, 57], "9651": 17, "7634": 17, "winterhalt": [17, 77], "186": 17, "lablgtk2": 17, "9279": 17, "garrigu": 17, "sogetrop": 17, "smart": 17, "greek": [17, 29, 75], "8560": 17, "05": 17, "7522": 17, "ar\u00eda": 17, "fork": 17, "ast": [17, 24, 37], "ship": [17, 66], "7902": 17, "7979": 17, "8161": 17, "8667": 17, "8945": 17, "tradit": [17, 24, 51, 63], "6857": 17, "bunch": [17, 57], "tutori": [17, 25, 63, 74, 77], "plugin_tutori": [17, 63, 74], "trunk": 17, "latest": [17, 25, 50], "deploi": 17, "barenblat": 17, "joachim": 17, "breitner": 17, "chapoton": 17, "lukasz": 17, "czajka": 17, "dalrympl": 17, "mat\u011bj": 17, "grabovsk\u00fd": 17, "gregersen": 17, "mirai": 17, "ikebuchi": 17, "matej": 17, "ko\u0161\u00edk": 17, "sam": [17, 77], "pablo": 17, "kuper": 17, "darryl": 17, "nick": 17, "marech": 17, "kayla": 17, "ngan": 17, "ryan": 17, "scott": [17, 24], "gan": 17, "shen": 17, "kamil": 17, "trzci\u0144ski": 17, "whitequark": 17, "fifth": 17, "2500": 17, "650": [17, 24, 54], "santiago": 17, "chile": 17, "april": [17, 77], "9095": 17, "topfil": 17, "\u00e0": [17, 24, 55], "foolib": 17, "8991": 17, "8989": 17, "9876": 17, "8870": 17, "stdout": [17, 75], "python2": 17, "python3": 17, "9872": 17, "9767": 17, "9705": 17, "9906": 17, "coqiderc": [17, 52], "10014": 17, "induc": [17, 24], "8217": 17, "8215": 17, "262": 17, "nonprimit": 17, "8829": 17, "funind": [17, 59, 72], "8488": 17, "undelimit": [17, 59, 71], "7135": 17, "9214": 17, "shorten": [17, 28], "gcd": [17, 59], "9874": 17, "9840": 17, "9844": 17, "8638": 17, "10061": 17, "9681": 17, "7894": 17, "8555": 17, "7309": 17, "romega": [17, 24], "8419": 17, "8987": 17, "div_mod": 17, "quot_rem": 17, "8062": 17, "conform": 17, "preexist": 17, "9524": 17, "7632": 17, "9996": 17, "5752": 17, "10012": 17, "10017": 17, "10053": 17, "10059": 17, "post": [17, 24, 53, 57], "9854": 17, "disciplin": [17, 24, 26], "across": [17, 52, 54, 55, 57, 59, 73], "9341": 17, "inE": 17, "pred_sort": 17, "predtyp": 17, "pred_class": 17, "mkpredtyp": 17, "nonproptyp": 17, "_not_": 17, "relpr": 17, "preimag": 17, "9995": 17, "8820": 17, "8791": 17, "8779": 17, "9001": 17, "extra_scop": 17, "9117": 17, "9160": 17, "8819": 17, "9307": 17, "9300": 17, "9270": 17, "9825": 17, "9274": 17, "9410": 17, "9509": 17, "9508": 17, "9364": 17, "9363": 17, "8094": 17, "9829": 17, "obvious": 17, "9743": 17, "3219": 17, "alloc": [17, 51], "clever": [17, 59, 64], "9078": 17, "8920": 17, "9306": 17, "bveq": 17, "bvxor": 17, "bvand": 17, "bvor": 17, "bvneg": 17, "8171": 17, "8365": 17, "bv2n": 17, "8815": 17, "9013": 17, "7221": 17, "9425": 17, "fset": [17, 60], "equalitiesfact": 17, "pairusualdecidabletypeful": 17, "9984": 17, "8669": 17, "credit": [17, 24], "histori": [17, 25, 26, 53, 59, 66], "histor": [17, 25, 44, 55], "9133": 17, "9668": 17, "9939": 17, "9964": 17, "10085": 17, "10205": 17, "10302": 17, "10301": 17, "10305": 17, "9336": 17, "instabl": 17, "gtk3": 17, "10360": 17, "9885": 17, "10019": 17, "421": 17, "9294": 17, "hoist": 17, "gather": [17, 24, 27, 55, 57, 58], "govern": [17, 41, 44, 52, 67], "9918": 17, "10336": 17, "10430": 17, "10361": 17, "improp": 17, "extractor": [17, 24], "10577": 17, "7348": 17, "splitat": 17, "uncon": 17, "9379": 17, "konstantino": 17, "kalla": 17, "10806": 17, "9512": 17, "10904": 17, "10891": 17, "9851": 17, "10899": 17, "10894": 17, "10852": 17, "10842": 17, "10897": 17, "4741": 17, "nonlinear": 17, "11128": 17, "11039": 17, "destko": 17, "11052": 17, "11048": 17, "11014": 17, "8459": 17, "11090": 17, "11033": 17, "uneven": 17, "dimens": 17, "resiz": 17, "11070": 17, "10956": 17, "11069": 17, "11058": 17, "11000": 17, "10728": 17, "autonom": 17, "vectordef": 17, "coordin": [17, 24], "homebrew": 17, "emac": [17, 51, 52, 59, 66], "ybertot": 17, "l\u00e9o": 17, "andr\u00e8": 17, "rin": 17, "arakaki": 17, "siddharth": 17, "bhat": 17, "timothi": 17, "bourk": 17, "ambrois": 17, "lafont": [17, 77], "leonida": 17, "lampropoulo": 17, "peter": [17, 24], "lefanu": 17, "lumsdain": 17, "sven": 17, "hallberg": 17, "cyprien": 17, "mangin": 17, "perri": 17, "metzger": 17, "grayson": 17, "paul": 17, "steckler": 17, "zeimer": 17, "fourth": [17, 54, 57], "decentr": 17, "000": [17, 53, 54], "consortium": 17, "2018": 17, "nameless": [17, 77], "lazymatch": 17, "constr_eq": 17, "constr_eq_strict": [17, 54], "constr_eq_nouniv": 17, "unfocu": [17, 66], "string_scop": [17, 71], "whichev": 17, "n2bv_size": 17, "n2bv_gen": 17, "int_scop": 17, "uint_scop": 17, "dec_int_scop": [17, 71], "dec_uint_scop": [17, 71], "stringsyntax": 17, "asciisyntax": 17, "binintdef": 17, "parith": 17, "binposdef": [17, 59], "binnatdef": [17, 59], "coq88": 17, "download": [17, 27, 53, 77], "gist": 17, "jasongross": 17, "5d4558edf8f5c2c548a3d96c17820169": 17, "okj": 17, "cup": [17, 26, 34, 51], "coffe": 17, "noi": [17, 51], "coqflag": [17, 53], "coqchkflag": [17, 53], "coqdocflag": [17, 53], "contact": [17, 52], "compani": [17, 66], "mainten": [17, 25, 58, 63], "ssrhave": [17, 57], "notcresolut": [17, 57], "loadabl": 17, "server": [17, 52], "parallel": [17, 24, 25, 38, 51, 52, 53, 54, 57, 76], "fledg": 17, "worker": [17, 25, 52, 54], "_x_": [17, 57], "idiom": [17, 54, 55, 57, 66], "octal": 17, "hex": 17, "pg": [17, 66], "list_scop": [17, 64, 71], "vector_scop": 17, "life": 17, "destructur": [17, 24, 25, 32, 40], "overhaul": 17, "peopl": 17, "calvin": 17, "beck": 17, "heiko": 17, "becker": 17, "richard": 17, "ford": 17, "laurenc": [17, 57], "rideau": [17, 57], "zyuzin": 17, "lint": [17, 53], "track": [17, 24, 51, 53, 55, 57], "wiki": [17, 64], "bugtrack": 17, "44": 17, "pascal": 17, "hebb": 17, "johann": 17, "kloo": 17, "toni": 17, "farzon": 17, "lotfi": 17, "rapha\u00ebl": 17, "monat": [17, 24], "matt": 17, "quinn": 17, "sigurd": 17, "schneider": 17, "vassor": 17, "vadim": 17, "zaliva": 17, "roadmap": 17, "tracker": [17, 54], "brain": 17, "storm": 17, "amin": 17, "timani": 17, "emploi": [17, 42], "march": [17, 24, 77], "occas": 17, "leftmost": [17, 34, 41, 58], "factoriz": [17, 46], "perf": [17, 64], "1362": 17, "uselocaldef": 17, "restart_tim": [17, 54], "finish_tim": [17, 54], "time_constr": [17, 25], "optimize_heap": [17, 66], "heap": [17, 54, 66], "garbag": [17, 75], "dtauto": [17, 62], "unintendedli": 17, "give_up": 17, "appcontext": 17, "older": [17, 29, 51, 67], "ongo": [17, 63], "4129": 17, "boundari": 17, "5726": 17, "linter": [17, 51], "geoproof": 17, "faq": 17, "decimalfact": 17, "decimalnat": 17, "decimalpo": 17, "decimaln": 17, "decimalz": 17, "decimalstr": 17, "concaten": [17, 26, 54, 55, 67], "zpo": 17, "l2r": 17, "asynchron": [17, 25, 66, 76], "7333": 17, "7695": 17, "7615": 17, "7723": 17, "7462": 17, "mileston": 17, "pdf": [17, 29, 77], "toler": 17, "eassert": [17, 43, 58], "redesign": [17, 24], "palat": [17, 55], "safer": [17, 24], "writer": [17, 29, 55], "txt": [17, 24, 53], "streamlin": [17, 24], "sibut": 17, "pinot": 17, "bign": 17, "bigz": [17, 53], "bigq": 17, "archiv": [17, 77], "softwar": [17, 24, 25, 59, 77], "kit": 17, "prepar": [17, 24], "regularli": 17, "travi": 17, "bell": 17, "marti": 17, "pierc": 17, "r\u00e9gi": 17, "giana": 17, "stell": 17, "strub": 17, "road": 17, "attract": 17, "hopefulli": [17, 55], "propos": [17, 24, 34, 54], "publicli": 17, "upcom": 17, "foundat": [17, 24, 29, 54, 57, 77], "august": [17, 24], "2017": 17, "bare": [17, 71], "existt": [17, 27, 67, 71], "ever": [17, 52, 55, 57, 67, 71], "h2": [17, 34, 43, 54, 55, 57, 58, 67], "eq_sigt_rect": 17, "sig2": [17, 27, 35, 67], "eq_sig": [17, 67], "couterbal": 17, "outperform": 17, "ymmv": 17, "miller": 17, "fairli": [17, 57], "constr_with_bind": 17, "open_constr_with_bind": 17, "epos": [17, 43, 58, 71], "eset": [17, 43, 58], "erememb": [17, 43, 58], "4890": 17, "unfocus": [17, 34, 55, 59, 66, 67], "fashion": [17, 24, 51], "someon": 17, "metric": 17, "weight": 17, "propextension": 17, "setoidchoic": 17, "choicefact": 17, "powerrz": 17, "strengthen": [17, 35, 57, 67], "jmeq_eq_dep": 17, "4912": 17, "inr": [17, 27, 40], "inr_izr_inz": 17, "camlp4": [17, 24], "overview": [17, 25, 71], "retro": 17, "ocamlc": 17, "ocamlopt": 17, "race": 17, "cmi": 17, "1859": 17, "2884": 17, "3613": 17, "3943": 17, "3994": 17, "4250": 17, "4709": 17, "4720": 17, "4824": 17, "4844": 17, "4911": 17, "5026": 17, "5233": 17, "5275": 17, "5315": 17, "5336": 17, "5360": 17, "5390": 17, "5414": 17, "5417": 17, "5420": 17, "5439": 17, "5449": 17, "5475": 17, "5476": 17, "5482": 17, "5501": 17, "5507": 17, "5520": 17, "5523": 17, "5524": 17, "5553": 17, "5577": 17, "5578": 17, "5589": 17, "5597": 17, "5598": 17, "5607": 17, "5618": 17, "5619": 17, "5620": 17, "5641": 17, "5648": 17, "5651": 17, "5671": 17, "5730": 17, "unrespons": 17, "ram": 17, "06": [17, 24, 53, 77], "6677": 17, "450": 17, "art": [17, 52], "brand": 17, "irrefut": [17, 25, 32, 40, 57], "ltacprof": 17, "tobia": 17, "tebbi": 17, "s\u00e9bastien": 17, "hinder": 17, "refactor": [17, 64], "gregori": 17, "malecha": 17, "throughout": [17, 29], "boutilli": 17, "clerc": 17, "ricki": 17, "elrod": 17, "jonathan": 17, "leivent": 17, "2016": 17, "symptom": 17, "\u03bb": [17, 24, 26, 31, 34, 38, 52, 54, 57, 66, 77], "fixabl": 17, "retyp": 17, "coq85": [17, 31, 77], "seriou": [17, 71], "pat1": 17, "patn": 17, "is_ind": [17, 54], "is_const": 17, "is_proj": 17, "is_constructor": 17, "notypeclass": [17, 58], "regexp": [17, 60], "goe": [17, 53, 55, 59, 66], "scrutine": 17, "5248": 17, "architectur": [17, 24, 29], "5380": 17, "5574": 17, "5205": 17, "5568": 17, "5019": 17, "5550": 17, "5546": 17, "5535": 17, "5486": 17, "5522": 17, "var": [17, 24, 26, 54, 58], "5526": 17, "5255": 17, "3659": 17, "5300": 17, "outdat": 17, "5487": 17, "5377": 17, "4306": 17, "5435": 17, "Be": [17, 75], "5132": 17, "comand": 17, "resilient_command": 17, "5365": 17, "5244": 17, "4969": 17, "five": [17, 27, 64], "carst": 17, "tankink": 17, "outcom": [17, 51, 53, 54, 67], "pave": 17, "smarter": 17, "makariu": 17, "wenzel": 17, "pide": 17, "jedit": 17, "coqoon": 17, "alexand": 17, "faithful": 17, "jesper": [17, 77], "bengtson": 17, "fund": 17, "paral": 17, "itp": [17, 77], "french": 17, "anr": 17, "justifi": [17, 27], "partli": [17, 57], "ia": 17, "princeton": 17, "compliant": 17, "unival": 17, "homotopi": 17, "channel": [17, 51], "braibant": 17, "benchmark": [17, 54], "greg": 17, "marc": 17, "lasson": 17, "half": [17, 24, 37, 66], "notin": [17, 26], "fran\u00e7oi": [17, 57], "ripault": 17, "2015": [17, 24], "decemb": [17, 24, 77], "omegatact": 17, "nonstandard": 17, "accident": [17, 57], "beginn": [17, 25], "projt1": [17, 27], "unchang": [17, 54, 57, 58, 60, 64, 66], "vertic": [17, 59, 71], "param": 17, "mkr": 17, "heavili": 17, "foo_rect": 17, "foo_rec": 17, "2693": 17, "nonrecurs": [17, 37, 40, 67, 72], "searchrewrit": [17, 24], "searchpattern": [17, 24], "retriev": [17, 51, 54, 59, 60, 77], "footprint": 17, "pipe": 17, "solvabl": [17, 58, 62], "repars": [17, 54], "combinator": 17, "explos": 17, "multimatch": 17, "coqworkmgr": 17, "revgoal": 17, "indefinit": 17, "accompani": 17, "materi": [17, 24, 25, 50, 57], "shelve_unifi": [17, 58], "proof_admit": 17, "fundament": [17, 24, 31, 57], "tryif": [17, 25], "2680": 17, "supersed": 17, "fly": [17, 55, 57], "borrow": 17, "forthcom": 17, "ipat": [17, 57], "spent": [17, 51, 53, 54], "type_term": [17, 25], "piecewis": 17, "friendli": [17, 24, 52], "premis": [17, 24, 28, 35, 57, 60, 66], "residu": [17, 57], "discontinu": 17, "info_auto": [17, 60], "info_trivi": 17, "dumpgraph": 17, "checkproof": 17, "concurr": 17, "yellow": [17, 52], "editor": [17, 52, 53, 77], "retract": 17, "lock": [17, 25], "area": 17, "detach": [17, 52], "screen": [17, 52, 59], "station": 17, "coq_color": 17, "rocqlib": [17, 51, 53, 59, 71], "toploop": 17, "intf": 17, "constrexpr": 17, "glob_term": 17, "coqrunbyteflag": 17, "blank": [17, 24, 29, 53], "comma": [17, 46, 51, 52, 55, 57, 74], "coqtoolsbyteflag": 17, "8388851": 17, "8388607": 17, "randomli": 17, "change_arg": 17, "make_change_arg": 17, "loos": [17, 60], "lax": [17, 55, 60], "unload": 17, "sublemma": 17, "subcompon": [17, 51], "evarmap": 17, "leak": 17, "unsafe_": 17, "type_of": 17, "unsafe_type_of": 17, "e_type_of": 17, "e_": [17, 35], "tacmach": 17, "pf_type_of": 17, "pf_unsafe_type_of": 17, "lack": [17, 53, 54, 57], "coq84": 17, "admitaxiom": 17, "c1": [17, 46, 57, 67, 71], "cn": 17, "4588": 17, "merlin": [17, 53], "compare_cas": 17, "prod_appvect": 17, "econstructor": [17, 43, 67], "get_current_context": 17, "4603": 17, "4630": 17, "20x": 17, "4627": 17, "4623": 17, "4591": 17, "brows": [17, 25, 27, 52, 57, 73], "resili": [17, 25], "4614": 17, "uninterrupt": 17, "ascrib": 17, "4533": 17, "win": 17, "kill": 17, "unreli": 17, "waitpid": 17, "4369": 17, "4608": 17, "output_valu": 17, "4607": 17, "4105": 17, "poor": 17, "4596": 17, "broke": 17, "week": 17, "4544": 17, "betaiota": 17, "4540": 17, "4580": 17, "4582": 17, "4683": 17, "stm": 17, "4542": 17, "4574": 17, "invalid_argu": [17, 55], "splay_ar": 17, "4547": 17, "stock": 17, "4530": 17, "4537": 17, "4522": 17, "4373": 17, "3826": 17, "4495": 17, "metasyntax": 17, "4511": 17, "4503": 17, "4519": 17, "oop": 17, "4506": 17, "indrec": 17, "4548": 17, "checksum": [17, 51], "4097": 17, "4398": 17, "4450": 17, "4677": 17, "4644": 17, "4725": 17, "placehold": [17, 43, 44, 51, 57, 58, 66, 71], "4747": 17, "4752": 17, "4777": 17, "4818": 17, "undefin": [17, 28], "4823": 17, "remot": 17, "counter": [17, 62], "thread": 17, "socket": 17, "4841": 17, "4851": 17, "4858": 17, "hd": [17, 30, 34, 57, 72], "4880": 17, "nsatz_comput": 17, "certif": 17, "4881": 17, "synchron": [17, 24, 52], "4882": 17, "4069": 17, "4718": 17, "4876": 17, "4780": 17, "4673": 17, "4754": 17, "4769": 17, "3886": 17, "4994": 17, "typo": [17, 44], "5008": 17, "md5": 17, "openbsd": 17, "5007": 17, "4606": 17, "5001": 17, "clenv_refine_in": 17, "2336": 17, "4832": 17, "extran": [17, 52], "4947": 17, "4156": 17, "4871": 17, "5043": 17, "5062": 17, "5065": 17, "5077": 17, "5095": 17, "4887": 17, "4762": 17, "4970": 17, "4529": 17, "4416": 17, "4863": 17, "5123": 17, "3209": 17, "5097": 17, "wrt": [17, 24], "5150": 17, "subsystem": [17, 24], "prerequisit": [17, 53], "3941": 17, "4822": 17, "3479": 17, "5127": 17, "5102": 17, "parse_entri": 17, "pcm": 17, "logarithm": 17, "graphic": [17, 25, 29, 51, 52], "textual": [17, 46, 71], "glondu": 17, "confid": [17, 24, 25], "lw11": [17, 77], "permiss": [17, 53], "chung": 17, "kil": 17, "hur": 17, "heq": [17, 54, 67], "is_evar": [17, 54], "has_evar": 17, "came": 17, "analyz": [17, 40, 57, 67], "black": [17, 29], "andrew": [17, 77], "appel": 17, "unprov": [17, 43, 58], "frac": [17, 26, 31, 34, 35, 38], "zar": 17, "\u00e9lie": 17, "soubiran": 17, "chlipala": 17, "why3": 17, "lri": [17, 24, 77], "matthia": 17, "puech": 17, "narboux": 17, "debian": 17, "tom": 17, "princ": 17, "c\u00e9dric": 17, "auger": 17, "baeld": 17, "dan": [17, 24, 77], "herm": 17, "eeli": 17, "weegen": 17, "2011": [17, 77], "pcompar": 17, "compare_cont": 17, "z_le_gt_dec": 17, "shiftl": 17, "shiftr": 17, "theorylist": 17, "cv": [17, 51], "mid": 17, "juli": [17, 24], "todo": 17, "moment": [17, 26, 52, 53, 54], "zpred": 17, "1912": 17, "2236": 17, "nocor": [17, 60], "2188": 17, "pseudo": [17, 57, 60], "tabul": [17, 24, 57], "substr": [17, 59], "_subproof": [17, 59, 66], "private_": [17, 59], "xx": 17, "aren": [17, 52, 53, 54, 58, 73, 75], "2168": 17, "lcm": [17, 59], "log2": [17, 59], "binnum": [17, 59, 71], "regroup": 17, "add_0_l": 17, "add_comm": [17, 59, 64], "add_assoc": [17, 59], "zplus_comm": 17, "binpo": [17, 59], "spite": 17, "incompatibili": 17, "infam": 17, "ternari": 17, "zle": 17, "pos_sub": 17, "truncat": [17, 57], "zodiv": 17, "floor": 17, "z2nat": 17, "n2z": 17, "nmake_gen": 17, "nmake": 17, "rework": 17, "creation": [17, 24, 43, 60], "vcon": [17, 67], "vectornot": 17, "eq_rect_r": [17, 27], "iter_nat": 17, "nat_it": 17, "dont": [17, 59], "hash": 17, "cons": 17, "alongsid": 17, "usecamlp4": 17, "aspect": [17, 24, 46], "itarget": 17, "ocamlbuild": 17, "cross": [17, 24, 35, 38, 64, 66, 71], "mingw": 17, "truli": [17, 57], "accessopaqu": 17, "layout": 17, "cst1": 17, "cst2": 17, "2555": 17, "subprocess": 17, "relaunch": 17, "xp": 17, "sp1": 17, "dialect": 17, "2357": 17, "xdg_config_hom": [17, 51, 52], "acceler": [17, 52], "xdg_data_hom": [17, 51, 53], "xdg_data_dir": [17, 51], "rc": [17, 24], "mlpack": [17, 53], "preproccess": 17, "ml4": 17, "mlihtml": 17, "config": [17, 51, 52], "dstroot": 17, "backto": [17, 59], "unavail": 17, "resum": 17, "reintroduc": [17, 57], "ergo": 17, "yice": 17, "cvc3": 17, "z3": 17, "cvcl": 17, "harvei": 17, "zenon": 17, "gwhy": 17, "why2": 17, "suitabl": [17, 41, 52], "mset": 17, "msetavl": 17, "ed": [17, 24], "xyz": 17, "spirit": [17, 34, 55], "case_eq": 17, "2489": 17, "setoidpermut": 17, "partit": 17, "evolut": [17, 77], "evolv": [17, 24, 37, 52, 54], "intertwin": [17, 57], "cascad": 17, "march\u00e9": [17, 24], "usefulli": 17, "garillot": 17, "robin": [17, 77], "green": [17, 29, 52, 66], "lescuy": 17, "cast\u00e9ran": [17, 77], "excel": 17, "2010": 17, "eq_tru": 17, "heterogen": [17, 67], "proper_prf": 17, "courtesi": 17, "classical_prop": 17, "gappa": 17, "2104": 17, "groebner": 17, "t2": [17, 34, 42], "edestruct": [17, 43, 58, 67], "exfalso": [17, 58], "falso": [17, 58], "quodlibet": [17, 58], "upward": [17, 24], "uncapit": 17, "danger": 17, "weird": 17, "gain": [17, 24], "legal": [17, 31, 34], "harsh": 17, "flatten": 17, "unappli": 17, "extrocaml": 17, "big_int": 17, "hard": [17, 55, 59, 64], "wire": [17, 55], "expr": [17, 54, 55, 71], "handi": [17, 71], "conv_expr": 17, "compare_dec": [17, 24], "nat_compar": 17, "lt_eq_lt_dec": 17, "nat_compare_alt": 17, "zlt_gt_succ": 17, "zlt_succ_gt": 17, "permtat": 17, "set_map": 17, "worst": [17, 59], "ln": 17, "permutsetoid": 17, "heapsort": [17, 24], "decidabletyp": 17, "orderstac": 17, "genericminmax": 17, "compspec": 17, "flavor": [17, 37, 71], "trunc": 17, "beautifi": [17, 51], "reformat": 17, "revamp": 17, "offsid": 17, "whitespac": [17, 24, 53, 75], "italic": [17, 75], "_underscores_": 17, "toc": [17, 75], "header": [17, 51, 75], "titl": [17, 52, 75], "interpol": [17, 53, 75], "typeset": [17, 75], "dynlink": [17, 59], "cma": 17, "cmxa": 17, "novelti": [17, 25], "landmark": 17, "arbitrarili": [17, 58, 71], "hi": [17, 24, 34], "concept": [17, 24, 25, 31, 57, 77], "krivin": [17, 64], "stengl": 17, "positivstellensatz": [17, 25], "motzkin": 17, "plane": [17, 24, 25], "deliv": 17, "importantli": 17, "knowledg": [17, 25, 71], "comfort": [17, 46], "supervis": [17, 24], "sile": 17, "alon": [17, 24, 34, 67], "hijack": 17, "malici": [17, 51], "maman": 17, "mimram": 17, "connor": 17, "cezari": 17, "kaliszyk": 17, "milad": 17, "niqui": 17, "partner": 17, "marel": 17, "microsoft": 17, "radboud": 17, "nijmegen": [17, 24], "particip": [17, 57], "palaiseau": 17, "2008": [17, 77], "overload": [17, 24, 25, 71], "id1": 17, "idn": 17, "acc_rect": [17, 27, 34], "zeta": [17, 24, 31, 55, 64], "setoidlist": 17, "zmisc": 17, "troubl": [17, 54, 64, 67], "setistyp": 17, "challeng": [17, 24, 77], "fsetinterfac": 17, "eq_dec": 17, "miniorderedtyp": 17, "mot_to_ot": 17, "fsetdecid": 17, "aaron": 17, "bohannon": 17, "fsetproperti": 17, "1347": 17, "avl": 17, "fsetavl": 17, "fmapavl": 17, "lightweight": 17, "balanc": [17, 57], "appendix": 17, "fsetfullavl": 17, "fmapfullavl": 17, "intmap": [17, 24], "cachan": [17, 24], "eq_nat_dec": 17, "z_lt_le_dec": 17, "positive_as_ot": 17, "xi": 17, "xo": 17, "nminu": 17, "nmin": 17, "nmax": 17, "zpower": [17, 24], "null": [17, 24, 57], "_full": 17, "eqnat": [17, 26], "eqlista": 17, "equivlista": 17, "english": 17, "prod_f_so": 17, "prod_f_r0": 17, "ln_exists1": 17, "rlogic": 17, "intuitionist": [17, 24, 25, 27, 34, 57, 62, 77], "indefinitedescript": 17, "rstar": [17, 24], "newman": [17, 24], "coc_histori": 17, "defens": [17, 24, 44, 57], "refrain": 17, "nnn": [17, 71], "expr_0": 17, "expr_1": 17, "expr_n": 17, "expr_i": 17, "intermedi": [17, 27, 57, 66], "erewrit": [17, 43, 64], "ediscrimin": [17, 43, 67], "einject": [17, 43, 67], "esimplify_eq": [17, 43], "simplify_eq": [17, 24, 67], "eelim": [17, 43, 67], "ecas": [17, 43, 58, 67], "einduct": [17, 43, 58, 67], "generer": 17, "th": [17, 30, 34, 40, 57, 58, 66, 67, 77], "id_1": 17, "id_n": 17, "basicelim": [17, 67], "nota": 17, "clarif": 17, "ifi": 17, "in_left": 17, "in_right": 17, "program_scop": 17, "class_1": 17, "param_1": 17, "param_n": 17, "class_2": 17, "some_class": 17, "setoid_replac": [17, 24, 64, 71], "55": 17, "signature_scop": 17, "cst": 17, "morphisms_rel": 17, "setoidtact": [17, 71], "subrel": [17, 25], "onto": [17, 71], "conflit": 17, "font": [17, 52, 53, 75], "monospac": 17, "meaning": [17, 29, 52], "coqdir": [17, 75], "subdir": [17, 51, 53], "tex": [17, 53, 75], "whelp": 17, "getter": 17, "browser": [17, 52], "coqtest_skipcomplex": 17, "zinc": [17, 64, 77], "christin": [17, 24, 27, 34, 77], "paulin": [17, 24, 27, 34, 77], "ayach": 17, "rocquencourt": [17, 24], "pennsylvania": [17, 77], "yale": 17, "2006": 17, "corollari": [17, 32], "helm": [17, 24], "constr_may_ev": 17, "setoid_symmetri": 17, "setoid_transit": 17, "setoid_reflex": 17, "autorewit": 17, "5941": 17, "noncrit": 17, "classical_left": [17, 58], "classical_right": [17, 58], "eassumpt": [17, 43, 58, 60], "rtauto": [17, 62], "f_equalx": 17, "hug": 17, "pp": [17, 53], "jussieu": 17, "m1": [17, 35], "m2": [17, 35], "mn": 17, "zmin": 17, "zmax": 17, "zminmax": 17, "zgt_square_simpl": 17, "zlt_square_simpl": 17, "digit": [17, 24, 29, 44, 51, 52, 71], "weaken": [17, 67], "z_lt_induct": 17, "eqdep": 17, "acc_it": 17, "acc_iter2": 17, "omegalemma": 17, "acc": [17, 27, 34, 35], "clos_refl_tran": 17, "in_dec": 17, "xor": 17, "bridg": [17, 57], "bitvector": 17, "addr": 17, "fmapintmap": 17, "coqremotebrows": 17, "e1": [17, 42, 46, 57], "e2": [17, 42, 46], "abandon": 17, "irrevers": [17, 24], "pfen": [17, 24, 77], "synthesi": [17, 24, 44], "phi": 17, "web": [17, 27, 52, 53], "field_simplify_eq": 17, "monom": 17, "constructiveepsilon": 17, "countabl": 17, "mathematician": 17, "purifi": 17, "lowercas": [17, 29, 37, 46, 52, 55], "perfum": 17, "novic": [17, 57], "reform": 17, "thirdli": 17, "gtk2": 17, "pictur": 17, "salient": [17, 24], "desmettr": [17, 24], "jacek": [17, 24], "chrz\u0105szcz": [17, 24], "nsi": 17, "orsai": [17, 24], "apr": 17, "2004": 17, "conjectur": [17, 28, 66], "0380": 17, "03ff": 17, "hebrew": [17, 29], "u05d0": 17, "05ef": 17, "2100": 17, "214f": 17, "2080": 17, "2089": 17, "2200": 17, "22ff": 17, "supplement": 17, "2a00": 17, "2aff": 17, "2300": 17, "23ff": 17, "2600": 17, "26ff": 17, "2190": 17, "21ff": 17, "2900": 17, "297f": 17, "factori": [17, 24, 54, 55, 64], "well_founded_induct": [17, 27], "true_sub": 17, "zplu": 17, "fast_integ": 17, "le_minu": [17, 72], "lt_mult_left": 17, "zarith_aux": 17, "iff_tran": 17, "someth": [17, 31, 52, 53, 54, 55, 59, 64], "fast_": 17, "new_var": 17, "omega2": 17, "zle_zmult_right2": 17, "zle_mult_simpl": 17, "zle_0_plu": 17, "zplus_assoc_l": 17, "zplus_assoc": 17, "zmult_on": 17, "zmult_1_n": 17, "zmult_assoc_l": 17, "zmult_assoc": 17, "zmult_minus_distr": 17, "zmult_zminus_distr_l": 17, "add_un_double_moins_un_xo": 17, "is_double_moins_un": 17, "rlt_monotony_rev": 17, "rlt_monotony_contra": 17, "zmult_zminus_distr_r": 17, "zcomplement": [17, 24], "freshid": 17, "decrement": [17, 54], "newdestruct": [17, 24], "newinduct": [17, 24], "contradictori": [17, 67], "rge_l": 17, "shorter": [17, 31, 35, 57, 59], "eleft": [17, 43, 67], "eright": [17, 43, 67], "esplit": [17, 43, 67], "eqt": [17, 46], "gen_constant_modul": 17, "zarith_base_modul": 17, "entier": 17, "pmult": 17, "times_sym": 17, "pmult_comm": 17, "zle_zmult_pos_right": 17, "zmult_le_compat_r": 17, "superieur": 17, "ext": [17, 24, 34], "ext2": [17, 24], "allt": [17, 24], "identityt": 17, "backquot": 17, "iso": [17, 75], "latin": [17, 29], "inz": 17, "inject_nat": 17, "zarith_bas": 17, "v7": [17, 24], "c2": [17, 46, 57, 67, 71], "stepl": [17, 64], "stepr": [17, 64], "ipattern": 17, "successor": [24, 34, 39], "ten": 24, "research": [24, 77], "briefli": [24, 27, 57], "survei": 24, "frege": 24, "centuri": 24, "discoveri": 24, "antinomi": 24, "comprehens": 24, "stratif": 24, "culmin": 24, "principia": 24, "mathematica": 24, "church": [24, 77], "howard": [24, 26, 66, 77], "isomorph": [24, 25, 46, 55, 62, 66, 67, 77], "automath": 24, "jut": 24, "landau": 24, "grundlagen": 24, "1970": 24, "saw": 24, "emerg": 24, "l\u00f6f": [24, 27, 34], "girard": [24, 77], "f_": 24, "coquand": [24, 34, 77], "1985": [24, 77], "coc": 24, "awkward": [24, 54], "1989": [24, 77], "mixtur": 24, "pioneer": 24, "1960": 24, "davi": 24, "putnam": 24, "semidecis": 24, "1965": 24, "robinson": 24, "studi": [24, 31], "convinc": 24, "realiz": [24, 25, 27, 32], "ambiti": 24, "approach": [24, 52, 53, 55, 57, 58, 67, 75], "aid": 24, "lcf": [24, 55], "milner": [24, 55, 77], "colleagu": 24, "edinburgh": 24, "moor": 24, "bishop": 24, "kleen": [24, 60], "methodologi": [24, 57], "revolutionari": 24, "paradigm": 24, "theme": [24, 52], "intellig": [24, 42], "walding": 24, "tablog": 24, "manna": 24, "tableau": 24, "undertaken": 24, "cornel": 24, "nuprl": 24, "constabl": 24, "hayashi": 24, "kyoto": 24, "lisp": 24, "feferman": 24, "grow": [24, 54, 55, 59], "scienc": [24, 77], "forese": 24, "dai": [24, 51], "hope": [24, 52], "1995": [24, 77], "g\u00e9rard": [24, 77], "huet": [24, 77], "1984": 24, "dowek": 24, "hierarch": [24, 35], "dead": [24, 64], "felti": 24, "mous": [24, 52], "widget": 24, "1991": [24, 77], "doligez": 24, "1992": [24, 77], "murthi": 24, "1993": [24, 77], "centaur": 24, "ctcoq": 24, "croap": 24, "v5": 24, "chet": 24, "reloc": 24, "driven": [24, 60], "1994": [24, 77], "mohr": [24, 27, 77], "manouri": 24, "impos": [24, 30, 34, 57], "propr": 24, "mu\u00f1oz": [24, 77], "dyckhoff": [24, 54, 62, 77], "ketonen": 24, "weyhrauch": 24, "reliev": 24, "tediou": [24, 34, 53, 57, 67], "feb": 24, "1st": [24, 27, 34, 46, 57, 59, 64, 71, 72], "phd": [24, 77], "thesi": [24, 77], "metamathemat": [24, 77], "backend": 24, "lockwood": 24, "morri": 24, "gui": [24, 52, 76], "cousineau": 24, "ancestor": [24, 53], "paulson": 24, "cambridg": [24, 77], "1983": 24, "frozen": 24, "22nd": 24, "defend": 24, "31st": 24, "19th": 24, "ch85": [24, 77], "her": 24, "dea": [24, 77], "internship": 24, "memoir": 24, "she": [24, 55], "lambo": 24, "vote": 24, "ch86b": [24, 77], "fuller": 24, "math\u00e9matiqu": 24, "informatiqu": [24, 77], "formalis\u00e9": 24, "calcul": [24, 25, 77], "ch86a": [24, 77], "16th": [24, 77], "articl": 24, "moh86": [24, 77], "quicksort": 24, "13": [24, 25, 51, 54, 57, 77], "25th": 24, "1986": [24, 77], "synthet": 24, "cmu": 24, "invit": [24, 42], "joint": 24, "confer": [24, 77], "tapsoft": 24, "87": [24, 53], "pise": 24, "1987": 24, "publish": [24, 53, 77], "hue88": [24, 77], "categor": 24, "llm3": 24, "j\u00e9r\u00f4me": 24, "chailloux": 24, "mauni": 24, "ascand": 24, "suarez": 24, "wei": 24, "v3": [24, 57], "summer": 24, "held": 24, "doctor": 24, "sml": 24, "v4": 24, "24th": 24, "exempl": 24, "knaster": 24, "tarski": 24, "terminologi": [24, 55], "gill": [24, 72], "sticki": 24, "vax": 24, "central": [24, 25], "lab": 24, "transfer": 24, "sun": 24, "person": [24, 64], "workstat": 24, "decor": [24, 29, 42], "loic": 24, "colson": 24, "6th": 24, "1988": [24, 77], "banner": 24, "avec": 24, "r\u00e9alis": 24, "synth\u00e8s": 24, "accommod": [24, 57], "2nd": [24, 34, 41, 46, 57, 67, 72, 77], "european": [24, 77], "symposium": [24, 77], "nanci": 24, "88": [24, 53, 77], "perspect": [24, 77], "commemor": [24, 77], "volum": [24, 77], "gift": [24, 77], "siromonei": [24, 77], "narasimhan": [24, 77], "scientif": [24, 77], "demonstr": [24, 54, 67], "yop": 24, "institut": [24, 27], "austin": 24, "texa": 24, "rehaul": 24, "randi": 24, "pollack": 24, "lego": 24, "luo": 24, "inter": [24, 53], "legitim": 24, "trust": [24, 33, 36, 73], "releg": 24, "puzzlement": 24, "schroeder": 24, "bernstein": 24, "octob": [24, 77], "8th": 24, "judgement": 24, "pointer": [24, 26], "spectacular": 24, "acycl": [24, 39], "insur": 24, "founded": 24, "memo": 24, "elast": 24, "spring": 24, "coq89": [24, 77], "mohrin": 24, "f\u03c9": 24, "pm89": [24, 77], "hue89": [24, 66, 77], "guid": 24, "syllabu": 24, "matur": 24, "v2": [24, 57], "ppm89": [24, 77], "cp90": [24, 34, 77], "pm93b": [24, 77], "1990": [24, 77], "workshop": [24, 77], "chalmer": [24, 77], "g\u00f6teborg": 24, "cnr": 24, "lip": [24, 77], "laboratori": 24, "\u00e9cole": 24, "sup\u00e9rieur": 24, "lyon": [24, 77], "formel": 24, "cristal": 24, "roquencourt": 24, "en": [24, 57, 64, 77], "chetan": 24, "architect": 24, "cristina": [24, 46, 67, 77], "corn": [24, 46, 67, 77], "aczel": 24, "coscoi": 24, "cr\u00e9gut": 24, "presburg": 24, "organis": 24, "judica\u00ebl": 24, "courant": 24, "nov": 24, "18th": 24, "1996": 24, "eduardo": 24, "gim\u00e9nez": [24, 77], "delahay": [24, 77], "laulh\u00e8r": 24, "4th": [24, 41, 44, 77], "1998": [24, 77], "v6": 24, "tricki": [24, 57], "cnet": 24, "lannion": 24, "1999": 24, "2001": [24, 77], "2002": [24, 77], "2003": 24, "optimis": 24, "micaela": 24, "mayero": 24, "chasl": 24, "pcoq": 24, "sop": 24, "lemm": 24, "hypertextu": 24, "electron": [24, 77], "unibo": 24, "goubault": 24, "d\u00e9mon": 24, "duprat": 24, "miquel": 24, "alvarado": 24, "franc": [24, 77], "telecom": 24, "17": [24, 25, 53, 57], "19": [24, 25, 41, 57, 77], "polylist": 24, "_and_": 24, "sum_ind": [24, 27, 71], "strength": 24, "expir": 24, "eq_nat": [24, 42], "reflexion": 24, "exchang": [24, 52, 66], "discrr": 24, "splitrmult": 24, "splitabsolu": 24, "decompos": [24, 57, 67], "lettac": 24, "schema": 24, "excess": 24, "vari": [24, 54, 58, 67, 71], "econom": [24, 77], "a0": [24, 46, 64, 67], "stuff": [24, 53, 75], "sentence_1": 24, "sentence_n": 24, "angl": 24, "trick": [24, 55, 57, 58, 72], "num1": 24, "num2": 24, "physical_dir": 24, "logical_dir": 24, "myconst": 24, "searchiso": 24, "do_makefil": 24, "coqrc": [24, 25], "exc": [24, 27], "fta": 24, "herman": 24, "geuver": 24, "freek": 24, "wiedijk": 24, "zwanenburg": 24, "henk": 24, "barendregt": [24, 77], "zfc": 24, "functions_in_zfc": 24, "simpson": 24, "sylvi": 24, "boldo": 24, "formalis": [24, 57, 77], "ctl": 24, "tctl": 24, "tempor": 24, "ctltctl": 24, "carlo": [24, 77], "luna": 24, "montevideo": 24, "railroad": 24, "railroadcross": 24, "automaton": [24, 75], "abr": 24, "pautomata": 24, "emmanuel": 24, "freund": 24, "minic": 24, "ledinot": 24, "suresn": 24, "bresenham": 24, "draw": 24, "distanc": 24, "rsa": 24, "cryptograph": 24, "embed": [24, 25, 29, 71], "14": [24, 25, 51, 57, 64], "r_sqr": 24, "rtrigo": 24, "rotat": [24, 54, 57], "rgeom": 24, "rsigma": 24, "natr": 24, "changement": 24, "expung": 24, "zsgn": 24, "wf_z": 24, "peano_dec": 24, "filliatr": [24, 77], "congruenceclosur": 24, "maplemod": 24, "mapl": 24, "zchines": 24, "submit": [24, 27], "necessit": 24, "trap": 24, "1386": 24, "1387": 24, "collid": 24, "1412": 24, "1394": 24, "seg": 24, "1404": 24, "1402": 24, "chap": 24, "sc": 24, "ntn": 24, "checkabl": 24, "nvar": 24, "numarg": 24, "projs1": 24, "projs2": 24, "unrealist": 24, "zmult": 24, "rfunction": 24, "seqseri": 24, "sup": 24, "rcomput": 24, "idem": 24, "thm": 24, "simple_tact": [24, 54], "globalis": 24, "jm": 24, "linearintuit": 24, "readm": [24, 71], "refl_eq": 24, "vanish": 24, "incompatibilit": 24, "localis": 24, "1459": 24, "1427": 24, "1437": 24, "1384": 24, "1435": 24, "1460": 24, "averag": 24, "ratio": 24, "flagship": 25, "compcert": 25, "seri": [25, 29, 35, 54, 57], "constitut": [25, 39, 55], "elementari": [25, 27, 57, 58, 71], "ltac2": [25, 35, 38, 52, 53, 54, 59, 63, 66, 71, 74], "reusabl": 25, "ecosystem": [25, 73, 77], "vocabulari": 25, "\u03b4": [25, 26, 37, 41, 57, 64, 67], "\u03b9": [25, 26, 34, 41, 55, 64], "\u03b6": [25, 26, 57], "corecurs": [25, 33, 71], "summari": [25, 46, 51, 75], "confluenc": [25, 31], "casual": [25, 57], "subpattern": [25, 54, 55], "superclass": 25, "question": [25, 34, 54, 55, 57, 60, 66], "brace": [25, 44, 52, 59, 71], "invoc": [25, 53, 54, 57, 59], "flow": 25, "helper": [25, 59], "acknowledg": 25, "bookkeep": 25, "defect": [25, 55], "repetit": [25, 54, 60], "licit": 25, "unlock": 25, "recurr": 25, "synopsi": [25, 53], "refut": [25, 57], "nonreflex": 25, "nonsymmetr": 25, "soft": [25, 72], "exactly_onc": 25, "horror": 25, "museum": 25, "interdepend": 25, "dep": [25, 51, 59], "phrase": [25, 71], "man": [25, 51], "repl": [25, 26, 35, 52, 53, 54, 59, 66], "rocqchk": [25, 53, 64, 73], "emphasi": 25, "verbatim": 25, "miscellan": 25, "coqid": [25, 52], "beta1": 25, "beta2": 25, "beta3": 25, "6beta1": 25, "5beta1": 25, "5beta2": 25, "5beta3": 25, "5pl1": 25, "5pl2": 25, "5pl3": 25, "4beta": 25, "4beta2": 25, "1beta": 25, "1gamma": 25, "0beta": 25, "bibliographi": 25, "licens": [25, 50], "forth": [25, 50, 57, 60], "v1": [25, 50, 57], "opencont": [25, 50], "org": [25, 50, 64, 75, 77], "openpub": [25, 50], "elect": [25, 50], "hereaft": [26, 30, 55, 57], "bar81": [26, 66, 77], "\u03bbx": [26, 31, 34], "cfc58": [26, 77], "db72": [26, 77], "how80": [26, 66, 77], "\u03b3_1": [26, 34], "\u03b3_2": 26, "judgment": [26, 35, 59, 77], "hspace": [26, 31, 34, 35, 38], "3em": [26, 31, 34, 35, 38], "def": [26, 35, 67], "ax": [26, 44, 67], "const": [26, 34, 37, 54], "lam": [26, 34], "42": 26, "\u03b3_i": [26, 34, 35, 38], "\u03b3_c": [26, 34, 35, 38], "\u03b3_p": [26, 34, 35], "\u03b3_": [26, 34], "arr": [26, 34], "t_": [26, 34], "c_k": [26, 34], "n_k": 26, "w_1": [26, 31], "w_m": [26, 31], "w_i": 26, "a_i": [26, 34], "a_1": [26, 34, 35, 38], "a_l": 26, "conv": 26, "x_k": [26, 34], "t_k": 26, "t_0": 26, "u_0": 26, "triangleright": [26, 31], "t_2": [26, 31, 34, 35], "u_1": [26, 31, 34, 39], "u_m": 26, "u_i": [26, 34], "prodimp": 26, "exset": [26, 34], "set1": 26, "set2": 26, "95": [27, 60, 77], "85": [27, 53, 71, 77], "80": [27, 71], "appeal": 27, "conj": [27, 57, 58, 66, 71], "proj1": [27, 66], "proj2": 27, "or_introl": [27, 34, 40, 46, 58, 67], "or_intror": [27, 34, 40, 46, 58, 67], "ex_intro": [27, 37, 41, 57, 60, 66], "ex_ind": 27, "ex_sind": 27, "ex_intro2": 27, "ex2_ind": 27, "ex2_sind": 27, "eq_sym": [27, 40, 44], "eq_tran": [27, 43, 59], "not_eq_sym": 27, "eq_rec_r": 27, "f_equal2": 27, "f_equal3": 27, "f_equal4": 27, "f_equal5": 27, "a3": 27, "y2": [27, 42, 59], "x3": [27, 71, 72], "y3": 27, "sumor": [27, 71], "unit_rect": 27, "unit_ind": 27, "unit_rec": 27, "unit_sind": 27, "bool_rect": [27, 40], "bool_ind": [27, 40], "bool_rec": [27, 40], "bool_sind": [27, 40], "nat_ind": [27, 34, 58], "nat_rec": [27, 34, 44, 67], "nat_sind": [27, 34], "option_rect": [27, 34, 58], "option_ind": [27, 34, 58], "option_rec": [27, 34, 58], "option_sind": [27, 34, 58], "disjoint": [27, 67], "inl": [27, 40, 57], "sum_rect": [27, 71], "sum_rec": [27, 71], "sum_sind": [27, 71], "prod_rect": [27, 34], "prod_ind": [27, 34], "prod_rec": [27, 34], "prod_sind": [27, 34], "justif": 27, "sig_rect": 27, "sig_ind": 27, "sig_rec": 27, "sig_sind": 27, "exist2": 27, "sig2_rect": 27, "sig2_ind": 27, "sig2_rec": 27, "sig2_sind": 27, "sigt_rect": 27, "sigt_ind": 27, "sigt_rec": 27, "sigt_sind": 27, "projections2": 27, "projt2": 27, "existt2": 27, "sigt2_rect": 27, "sigt2_ind": 27, "sigt2_rec": 27, "sigt2_sind": 27, "sumbool_rect": 27, "sumbool_ind": 27, "sumbool_rec": 27, "sumbool_sind": 27, "inleft": 27, "inright": 27, "sumor_rect": 27, "sumor_ind": 27, "sumor_rec": 27, "sumor_sind": 27, "choice2": 27, "bool_choic": [27, 59], "false_rec": 27, "absurd_set": 27, "and_rect2": 27, "predecessor": 27, "nat_scop": [27, 57, 71], "eq_": 27, "pred_sn": 27, "eq_add_": 27, "not_eq_": 27, "issucc": 27, "o_": [27, 37], "n_sn": 27, "plus_n_o": [27, 59], "plus_n_sm": [27, 59], "mult_n_o": 27, "mult_n_sm": [27, 59], "le_n": [27, 57, 67], "le_": 27, "137": 27, "le_ind": [27, 46, 67], "le_sind": [27, 46, 67], "nat_cas": [27, 67], "nat_double_ind": 27, "acc_intro": 27, "acc_inv": 27, "rwf": 27, "well_founded_ind": 27, "fix_f": 27, "f_ext": 27, "fix_f_eq": 27, "implicit_bind": [28, 44], "generalizing_bind": [28, 44], "pattern0": [28, 40], "twofold": 28, "pi_": 28, "term_appl": [28, 29, 37, 44, 64], "term1": [28, 29, 37, 44, 57], "qualid_annot": [28, 29, 44], "assumption_token": [28, 59], "postul": 28, "r_s_inv": 28, "ital": [29, 53, 66, 75], "term100": [29, 40, 46], "popul": 29, "first_lett": 29, "subsequent_lett": 29, "unicode_lett": 29, "unicode_id_part": 29, "gothic": 29, "arab": 29, "georgian": 29, "hangul": 29, "hiragana": 29, "katakana": 29, "ideograph": 29, "subscript": 29, "0x": 29, "1_000_000": 29, "1000000": 29, "decnat": 29, "hexnat": 29, "hexdigit": 29, "bignat": [29, 71], "0xap12": 29, "term_scop": [29, 71], "100000": 29, "of_num_uint": [29, 59, 71], "1000000000000000000000000000000000": 29, "1000000000000000000000000000000001": 29, "_h": 29, "_ho": 29, "contrastingli": 29, "term_cast": [29, 32], "term_explicit": [29, 44], "term_project": [29, 37], "term0": [29, 37, 55, 58, 71], "number_or_str": [29, 71], "term_evar": [29, 43], "term_match": [29, 40], "term_record": [29, 37], "term_gener": [29, 44], "term_ltac": [29, 54], "one_typ": [29, 58, 64], "undecid": [29, 30], "query_command": [29, 59, 64], "compound": [29, 54], "uppercas": [29, 55], "blue": [29, 52], "grai": [29, 52], "boldfac": 29, "attr_valu": 29, "setting_nam": [29, 51], "exclus": [29, 57], "wide": [29, 38, 52, 53, 58], "infin": [30, 71], "gimenez95": [30, 77], "gimenez98": [30, 77], "gimenezcasteran05": [30, 77], "inductive_definit": [30, 34], "bypass_check": [30, 32, 34, 59], "eqst": 30, "stori": 30, "copattern": 30, "agda": 30, "eqst_hd": 30, "eqst_tl": 30, "stream_eta": 30, "stream_ext": 30, "cofix_bodi": 30, "cofix_definit": [30, 38], "decl_not": [30, 34, 40, 71], "admiss": [30, 38], "unguard": 30, "wherev": [31, 53, 54, 67, 71], "contant": 31, "triangleright_\u03b2": 31, "enjoi": [31, 34, 37, 57], "great": [31, 64], "triangleright_\u03b4": [31, 35], "pm93a": [31, 77], "wer94": [31, 77], "triangleright_\u03b6": 31, "deliber": [31, 55], "triangleright_\u03b7": 31, "m0": [31, 42, 67], "u_2": 31, "v_m": 31, "destructuring_let": [32, 46], "thm_token": [32, 59], "forgot": [32, 71], "primarili": [32, 34, 58, 66], "heart": 33, "fear": 33, "_ind": [34, 35, 40, 71, 72], "_sind": [34, 35, 40, 71], "thereaft": [34, 59], "even_0": 34, "even_ss": 34, "even_ind": [34, 67], "even_sind": [34, 67], "list2": 34, "nil2": 34, "cons2": 34, "list2_rect": 34, "list2_ind": 34, "list2_rec": 34, "list2_sind": 34, "listw": 34, "nilw": 34, "consw": 34, "bigger": 34, "list3": 34, "nil3": 34, "cons3": 34, "list3_rect": 34, "list3_ind": 34, "list3_rec": 34, "list3_sind": 34, "acc_in": 34, "acc_ind": 34, "acc_rec": 34, "acc_sind": 34, "leaf": [34, 67], "tree_rect": [34, 67, 72], "tree_ind": [34, 67, 72], "tree_rec": [34, 67, 72], "tree_sind": [34, 67, 72], "forest_rect": [34, 67, 72], "forest_ind": [34, 67, 72], "forest_rec": [34, 67, 72], "forest_sind": [34, 67, 72], "eight": 34, "fix_decl": [34, 57], "fix_definit": [34, 38, 72], "wrongplu": 34, "asid": [34, 64, 66, 67], "deeper": [34, 46], "mod2": [34, 35], "tree_siz": [34, 72], "forest_s": [34, 72], "a_p": 34, "rcl": 34, "even_o": 34, "even_": 34, "odd_": 34, "odd_ind": [34, 67], "odd_sind": [34, 67], "t_q": 34, "x_j": 34, "t_i": 34, "a_r": 34, "p_r": [34, 35], "c_n": [34, 35], "a_j": [34, 35], "b_1": 34, "b_r": 34, "u_": 34, "b_j": 34, "nattre": 34, "natnod": 34, "nattree_rect": 34, "nattree_ind": 34, "nattree_rec": 34, "nattree_sind": 34, "a_k": [34, 35], "i_j": [34, 35], "s_j": 34, "exprop": 34, "exp_intro": 34, "exprop_ind": 34, "exprop_sind": 34, "exs_intro": 34, "extyp": 34, "ext_intro": 34, "extype_rect": 34, "extype_ind": 34, "extype_rec": 34, "extype_sind": 34, "not_i_i": 34, "not_i": 34, "i_not_i": 34, "satifi": 34, "infinite_loop": 34, "harm": 34, "introa": 34, "\u03bbz": 34, "f_inj": 34, "hf": [34, 51], "powerset": 34, "diagon": 34, "fd": 34, "a_": 34, "p_p": 34, "p_m": 34, "q_r": 34, "q_l": 34, "p_l": 34, "p_u": 34, "q_u": 34, "leq": [34, 42, 57], "s_k": 34, "equiconsist": 34, "prevail": 34, "set_p": 34, "recomput": [34, 53], "lose": [34, 67, 71], "delic": 34, "coq92": [34, 77], "1p_1": 34, "np_n": 34, "f_n": 34, "f_i": 34, "i1": [34, 71], "ip_i": 34, "s_2": [34, 35], "complic": [34, 43, 46, 55], "harmless": [34, 51], "moral": 34, "or_ind": [34, 40], "or_sind": [34, 40], "proof_irrelev": 34, "paradox": [34, 77], "eqnarrai": 34, "rl": 34, "c_": 34, "f_l": 34, "a_m": 34, "triangleright_\u03b9": 34, "\u03b3_n": 34, "a_n": [34, 38], "\u03bbp": 34, "gimenez94": [34, 77], "k_1": 34, "k_n": 34, "k_i": 34, "y_1": [34, 38], "y_": 34, "b_": 34, "f_j": 34, "k_j": 34, "x_m": 34, "t_m": 34, "i_l": 34, "i_p": 34, "c_q": 34, "y_m": 34, "b_m": 34, "g_i": 34, "b_i": 34, "y_j": 34, "lgth": 34, "sizet": 34, "sizef": 34, "f0": [34, 57, 67], "f_k": 34, "massiv": 35, "module_bind": 35, "of_module_typ": 35, "module_expr_inl": 35, "module_type_inl": 35, "module_typ": 35, "functor_app_annot": 35, "module_expr_atom": 35, "definin": 35, "t_rect": [35, 71], "t_rec": [35, 71], "t_sind": [35, 71], "dirpath": [35, 51, 59], "sake": [35, 55, 66, 71], "simplic": [35, 54], "hasn": 35, "shortest": 35, "weval": 35, "s_3": 35, "WITH": 35, "e_i": 35, "e_n": 35, "mod1": [35, 51], "alias1": 35, "alias2": 35, "type1": 35, "type2": 35, "mt": 35, "manifestli": 35, "msub": 35, "\u03c3": [35, 67], "_i": [35, 71], "_1": 35, "_m": 35, "ind1": 35, "ind2": 35, "c_m": 35, "indp1": 35, "i_i": 35, "indp2": 35, "excerpt": 36, "primint63": [36, 59, 71], "int63_typ": [36, 59], "uint63_scop": [36, 71], "sint63_scop": 36, "int63_eq": [36, 59], "eqb_correct": 36, "uint63axiom": 36, "one_minus_one_is_zero": 36, "despit": [36, 57], "of_int64": 36, "float64_typ": 36, "float64_mul": 36, "float_scop": 36, "mul_spec": 36, "prim2sf": 36, "sf64mul": 36, "compli": 36, "extrocamlfloat": 36, "float64": 36, "of_float": 36, "x1p": 36, "array_typ": 36, "array_get": 36, "array_set": 36, "get_set_sam": 36, "get_set_oth": 36, "extrocamlparrai": 36, "operation": 36, "cf07": [36, 77], "cell": 36, "immut": 36, "primstr": [36, 71], "string_typ": 36, "char63": 36, "string_length": 36, "string_get": 36, "extrocamlpstr": 36, "pstring": 36, "record_field": [37, 42], "field_spec": 37, "constrast": 37, "npo": 37, "rat": 37, "mkrat": 37, "rat_bottom_nonzero": 37, "rat_irreduc": 37, "lowest": [37, 54], "myrecord": 37, "myfield": 37, "varnam": 37, "myclass": 37, "myfield2": 37, "fieldnam": 37, "one_two_ir": 37, "gloss": 37, "gett": 37, "inst": 37, "absent": [37, 59], "build_": 37, "reconstruct": [37, 46], "desugar": 37, "p2": [37, 57, 67], "foo_subproof": 38, "y_n": 38, "prune": [38, 57], "universe_expr": 39, "coq86": [39, 77], "\u2115": 39, "u_n": 39, "violat": [39, 66], "degener": [40, 57], "freshnamespac": 40, "reflectt": [40, 57], "reflectf": 40, "forbid": 40, "problemat": [40, 55], "my_nat": 40, "my_o": 40, "my_": 40, "case_item": 40, "pattern10": 40, "pattern1": 40, "scope_kei": [40, 55, 59, 64, 71], "subcas": [40, 75], "bool_cas": 40, "arg_spec": 41, "args_modifi": 41, "argument_spec": 41, "implict": 41, "plus_fct": 41, "_f": [41, 72], "mybool_scop": 41, "_mybool_scop": 41, "mybool": 41, "fcomp": 41, "b2n": [41, 59], "mt13": [42, 77], "breviti": [42, 58, 66], "gznd11": [42, 77], "disregard": 42, "disembodi": 42, "some_const": 42, "other_const": 42, "prf_equiv": 42, "is_law": 42, "eq_nat_equiv": 42, "nat_setoid": 42, "build_setoid": 42, "is_law_": 42, "cmp": 42, "class_of": 42, "the_cmp": 42, "simplist": 42, "amend": 42, "nat_eq": 42, "nat_eqcl": 42, "nat_eqti": 42, "pair_eq": 42, "pair_eqcl": 42, "pair_eqti": 42, "nat_l": 42, "nat_lecl": 42, "nat_leti": 42, "And": [42, 51, 53, 54, 71], "pair_l": 42, "pair_lecl": 42, "pair_leti": 42, "mixin": 42, "eq_class": 42, "le_class": 42, "_pack": 42, "to_eq": 42, "to_l": 42, "lele_eq": 42, "instat": 42, "test_algebra": 42, "test_algebraic2": 42, "l1": [42, 54], "l2": [42, 54], "nat_leq_compat": 42, "nat_leqmx": 42, "pair_leq_compat": 42, "pair_leqmx": 42, "add_instance_attempt": 42, "nat_leqti": 42, "pair_leqti": 42, "phantom": 42, "phantom_rect": 42, "phantom_ind": 42, "phantom_rec": 42, "phantom_sind": 42, "err": [42, 55], "is_not_an_eq_typ": 42, "is_not_an_le_typ": 42, "is_not_the_right_mixin": 42, "e0": [42, 46, 72], "le0": 42, "ce": 42, "s0": [43, 46], "companion": 43, "uninstanti": [43, 44, 54, 58, 67], "eintro": [43, 58], "poorli": [43, 54], "tacexpr": 43, "anywher": [43, 58, 75], "resort": [43, 52, 54, 55, 67], "reinfer": 44, "eq0_le0": 44, "cumbersom": [44, 55], "reproduc": 44, "reserv_list": 44, "simple_reserv": 44, "listdef": [44, 54, 57, 58, 60, 64, 71, 72], "cons_inj_nat": 44, "cons_inj_bool": 44, "typeclass_constraint": 44, "nat_op": 44, "hnat": 44, "ident\u2081": 46, "ident\u2099": 46, "dep_ret_typ": 46, "deconstruct": 46, "deep_tupl": 46, "synth": [46, 59], "synthesiz": 46, "cheapli": 46, "reflt": 46, "eqt_rect": 46, "eqt_ind": 46, "eqt_rec": 46, "eqt_sind": 46, "emphas": 46, "misspel": [46, 59], "is_zero": 46, "71": 46, "72": 46, "_x": [46, 57], "toggl": [46, 52], "basicmatch": 46, "examin": [46, 52, 54, 66, 67, 71], "superposit": 46, "lef": 46, "ith": 46, "superpos": 46, "filter_2_4": 46, "filter_some_square_corn": 46, "listn": 46, "niln": 46, "consn": 46, "listn_rect": 46, "listn_ind": 46, "listn_rec": 46, "listn_sind": 46, "qr": 46, "recal": [46, 55, 64], "b0": 46, "false_rect": 46, "buildlist": 46, "leo": [46, 67], "caught": [46, 54, 55], "l0": [46, 54], "somehow": 46, "sought": 46, "i_rect": [46, 71], "i_ind": [46, 71], "i_rec": [46, 71], "i_sind": [46, 71], "coqtail": [51, 53, 66], "toto": 51, "pathnam": [51, 53], "reload": [51, 52, 59], "prepend": [51, 53, 66], "rocqpath": [51, 53], "rocq_color": [51, 66], "ls_color": 51, "ansi": 51, "240": 51, "underlin": [51, 52, 66], "rgb": 51, "space_overhead": 51, "120": [51, 71], "minor_heap_s": 51, "32mword": 51, "256mb": 51, "128mb": 51, "cmo": [51, 59], "_darc": 51, "ext4": 51, "255": 51, "ntf": 51, "and_darc": 51, "resourc": 51, "intention": 51, "w\u2081": 51, "w\u2099": 51, "slave": 51, "ident0": 51, "ident1": 51, "filteropt": 51, "googl": [51, 53], "1cvaclvffya5r": 51, "phyumn5ooqtymh4h6i0nsskchnaysu": 51, "durat": 51, "rocq_profile_compon": 51, "perfetto": 51, "compress": [51, 53], "subtim": 51, "appart": 51, "total": [51, 53, 54], "required_vo": 51, "2642": 51, "fn": 51, "overal": [51, 54, 64, 75], "forg": 51, "secur": 51, "taint": 51, "norec": 51, "backslash": 51, "thumb": [51, 67], "disk": [51, 52, 53, 66], "attack": 51, "scratch": 52, "screenshot": [52, 66], "fermat": 52, "keystrok": 52, "reopen": 52, "backspac": 52, "uncom": 52, "interv": 52, "abruptli": 52, "crashrocqid": 52, "unnamed_rocqscript_": 52, "toolbar": 52, "keyboard": [52, 59], "wsl": 52, "orang": 52, "unproven": [52, 58, 66], "pink": 52, "figur": [52, 57], "undon": 52, "ribbon": 52, "schemat": [52, 57], "unprocess": 52, "await": 52, "perhap": [52, 53, 58], "sent": 52, "granular": [52, 55], "intervent": 52, "quirk": 52, "reprocess": [52, 54], "haven": [52, 54], "defer": [52, 55, 57], "shade": 52, "nice": [52, 57, 67, 75], "pane": 52, "unmodifi": 52, "devot": [52, 57], "charset": [52, 75], "micro": 52, "ini": 52, "css": [52, 75], "nameofthem": 52, "gtk_theme": 52, "internet": 52, "firefox": 52, "checkbox": 52, "usernam": 52, "appdata": 52, "press": [52, 77], "overwrit": [52, 64, 66], "gtk_accel_path": 52, "primari": [52, 54], "f4": 52, "semicolon": [52, 53, 57], "antialias": 52, "gdk_use_xft": 52, "builtin": 52, "\u03c0": 52, "suffic": [52, 57], "blob": 52, "default_bindings_src": 52, "file1": [52, 53], "file2": [52, 53], "filen": 52, "feel": 52, "jfehrl": 52, "email": 52, "my_tac": 52, "dark": 52, "slider": 52, "f8": 52, "idl": 52, "my": [52, 53, 57], "value_tact": [52, 54, 64], "f9": 52, "f10": 52, "f11": 52, "asymc": 52, "16069": 52, "mind": 52, "387": 52, "alltact": 52, "clipboard": 52, "genarg": 52, "tacvalu": 52, "secondari": [52, 53], "gotten": 52, "territori": 52, "easiest": 53, "difficulti": 53, "repo": 53, "readili": 53, "interchang": [53, 66], "proofgener": 53, "spread": 53, "seamlessli": 53, "closest": 53, "notepad": 53, "invisibli": 53, "vi": 53, "mypackag": 53, "ala": 53, "coqproject": 53, "jef": 53, "myproj": 53, "basenam": 53, "filesystem": [53, 59], "regener": 53, "shouldn": [53, 54, 75], "therein": 53, "workaround": [53, 54, 55, 60], "metadata": [53, 59], "mycod": 53, "mlg": [53, 59], "bazaux": 53, "qux_plugin": 53, "expert": 53, "knowntarget": 53, "stuff2": 53, "knownfil": 53, "submak": 53, "rebuilt": 53, "default_go": 53, "makecmdgo": 53, "ifeq": 53, "orphan": 53, "orphan_foo_bar": 53, "yojson": 53, "ocamlwarn": 53, "coq_src_subdir": 53, "cm": 53, "unicoq": 53, "coqextraflag": 53, "coqchkextraflag": 53, "coqdocextraflag": 53, "rocqruntimelib": 53, "echo": 53, "cp": 53, "thisextrafil": 53, "met": 53, "archclean": 53, "coq_vers": 53, "coqmakefile_vers": 53, "alldfil": 53, "myfil": 53, "mygeneratedfil": 53, "vofil": 53, "globfil": 53, "cmofil": 53, "cmxfile": 53, "ofil": 53, "cmafil": 53, "cmxafil": 53, "cmifil": 53, "cmxsfile": 53, "camlc": 53, "camloptc": 53, "coqdebug": 53, "ocamllib": 53, "mac": [53, 60], "vfile": 53, "395448": 53, "ko": 53, "45184": 53, "slowest": 53, "fastest": 53, "tgt": 53, "52": 53, "sy": 53, "394648": 53, "56980": 53, "0m00": 53, "biggest": 53, "subsecond": 53, "nois": 53, "394700": 53, "37": [53, 77], "337720": 53, "1850": 53, "00": 53, "592": 53, "69": [53, 71], "04": 53, "56772": 53, "337876": 53, "89": [53, 77], "74": 53, "26": [53, 54, 77], "157": 53, "sec": [53, 54, 64], "128u": 53, "028": 53, "27": [53, 54], "68": 53, "vm_c": 53, "foo0": [53, 55], "153": 53, "136u": 53, "019": 53, "163": [53, 77], "208": 53, "foo1": 53, "239": 53, "236u": 53, "time1": 53, "time2": 53, "time3": 53, "time_of_pretty_build_fil": 53, "0m04": 53, "0m03": 53, "66": [53, 57, 77], "96": 53, "069": 53, "192": 53, "47": 53, "126": 53, "026": 53, "027": 53, "068": 53, "nati": 53, "231": 53, "836": 53, "60": 53, "97": [53, 54, 77], "gzip": 53, "quoted_str": 53, "unquoted_str": 53, "pkg": [53, 75], "stanza": 53, "module_prefix": 53, "opam_packag": 53, "ordered_set_lang": 53, "ocaml_librari": 53, "coq_flag": 53, "include_subdir": 53, "equations_plugin": 53, "public_nam": 53, "33": 53, "cc": [53, 77], "g_equat": 53, "iddec": 53, "nocycl": 53, "upfront": 53, "impract": 53, "chose": 53, "ni": 53, "my_toplevel": 53, "start_coq": 53, "coqtop_toplevel": 53, "metaprogram": 54, "rosetta": 54, "stone": 54, "anytim": 54, "hindranc": 54, "del00": [54, 77], "reduce_and_try_to_solv": 54, "destruct_bool_and_rewrit": 54, "ingredi": 54, "achil": 54, "heel": 54, "growth": 54, "prone": [54, 57], "intric": [54, 55], "modern": 54, "subexpress": [54, 58, 71], "ltac_expr2": [54, 66], "ltac_expr4": 54, "for_each_go": [54, 55, 71], "l3_tactic": [54, 66], "ltac_expr1": [54, 66], "l2_tactic": 54, "tactic_valu": 54, "tactic_arg": 54, "l1_tactic": 54, "syn_valu": 54, "tactic_atom": 54, "n2": 54, "let_claus": 54, "goal_selector": 54, "8481": 54, "range_selector": 54, "subpart": 54, "retri": 54, "expr1": 54, "goal_tact": 54, "1a": 54, "1b": 54, "myfirst": 54, "tactic_list_sep": 54, "tacl": 54, "unexpectedli": 54, "21": [54, 64], "pertain": 54, "unpredict": 54, "match_kei": 54, "match_pattern": 54, "cpattern": [54, 55], "goal_pattern": 54, "match_hyp": 54, "aesthet": 54, "h0": [54, 55, 58, 62, 64, 66, 67], "pr_numgoal": 54, "nouniv": 54, "scan": 54, "unbox": 54, "elaps": 54, "innermost": [54, 71], "timer": 54, "time_constr1": 54, "eval_earli": 54, "ret": 54, "ran": 54, "tacdef_bodi": 54, "card_nat": 54, "hz": 54, "craft": [54, 57], "perm": 54, "perm_refl": 54, "perm_con": 54, "perm_append": 54, "perm_tran": 54, "perm_ind": 54, "perm_sind": 54, "perm_aux": 54, "newn": 54, "solve_perm": 54, "sequent": [54, 57, 58, 62, 77], "calculi": [54, 62, 77], "ljt": [54, 62], "roi": [54, 62, 77], "dyc92": [54, 62, 77], "my_tauto": 54, "falsiti": 54, "my_tauto_ex1": 54, "my_tauto_ex2": 54, "trickier": 54, "dc95": [54, 77], "iso_axiom": 54, "ass": 54, "cur": 54, "di": [54, 77], "p_unit": 54, "ar_unit": 54, "al_unit": 54, "simplify_typ": 54, "ty": [54, 57], "simplify_type_eq": 54, "len": 54, "trm": 54, "assoc": 54, "solve_type_eq": 54, "compare_structur": 54, "solve_iso": 54, "judg": 54, "solve_iso_ex1": 54, "solve_iso_ex2": 54, "odditi": 54, "consol": 54, "imped": 54, "degrad": 54, "slowli": 54, "cutoff": 54, "percentag": 54, "accumul": 54, "mytauto": 54, "281": 54, "with_uniform_flag": 54, "tauto_gen": 54, "tauto_intuitionist": 54, "t_tauto_intuit": 54, "112": 54, "111": 54, "is_conj": 54, "28756": 54, "060": 54, "002": [54, 64], "28": [54, 77], "013": 54, "infoh": 54, "mtac": 55, "rtac": 55, "hindlei": [55, 77], "dm82": [55, 77], "sweet": 55, "spot": 55, "pl": 55, "lineag": 55, "stick": 55, "somewhat": [55, 64, 71], "think": [55, 66], "ltac2_ltac1": 55, "ltac2_typ": 55, "ltac2_type2": 55, "ltac2_type1": 55, "ltac2_type0": 55, "ltac2_typevar": 55, "exn": 55, "tac2typ_def": 55, "tac2typ_prm": 55, "tac2typ_knd": 55, "tac2alg_constructor": 55, "tac2rec_field": 55, "positiveint": 55, "of_str": 55, "fragment": [55, 57, 71], "ltac2_expr": [55, 71], "ltac2_expr5": 55, "tac2pat0": 55, "ltac2_let_claus": 55, "ltac2_expr3": 55, "ltac2_expr2": 55, "ltac2_expr1": 55, "ltac2_expr0": 55, "tac2rec_fieldexpr": 55, "ltac2_atom": 55, "tac2rec_fieldpat": 55, "tac2pat1": 55, "lident": 55, "tac2def_bodi": 55, "oldf": 55, "clearer": 55, "\u03b2v": 55, "v\u2080": 55, "x\u2080": 55, "x\u1d62": 55, "v\u1d62": 55, "departur": 55, "ambient": 55, "proofview": 55, "recover": 55, "panic": 55, "destroi": 55, "codifi": [55, 77], "incred": 55, "ltac1_expr_in_env": 55, "ltac1val": 55, "varref": 55, "snippet": [55, 75], "glob_constr": 55, "myconstr": 55, "suddenli": 55, "rug": 55, "duti": 55, "concis": [55, 57], "ltac2_match_kei": 55, "ltac2_match_list": 55, "ltac2_match_rul": 55, "ltac2_match_pattern": 55, "msg": 55, "succinct": 55, "tactic_failur": 55, "of_constr": 55, "goal_match_list": 55, "gmatch_rul": 55, "gmatch_pattern": 55, "gmatch_hyp_pattern": 55, "ltac2_branch": 55, "atomic_tac2pat": 55, "ltac2_scop": [55, 74], "wors": 55, "ex1": 55, "metasyntact": 55, "list1": [55, 71], "print_list": 55, "list0": [55, 71], "insofar": 55, "intros_until": 55, "delta_reduct": [55, 64], "lia_ltac1": 55, "simplest": [55, 57], "plainli": 55, "ltac2_intropattern": 55, "ltac2_simple_intropattern": 55, "ident_or_anti": 55, "ltac2_destruction_arg": 55, "induction_arg": [55, 67], "q_with_bind": 55, "ltac2_bind": 55, "ltac2_reduct": 55, "refglob": 55, "ltac2_claus": 55, "q_occurr": 55, "ltac2_induction_claus": 55, "induction_claus": [55, 67], "ltac2_convers": 55, "q_orient": 55, "ltac2_oriented_rewrit": 55, "oriented_rewrit": [55, 64], "dispatch": 55, "ltac2_for_each_go": 55, "hintbas": [55, 60], "move_loc": 55, "alias_definit": [55, 58], "nonsimple_intropattern": 55, "ltac2_simple_intropattern_clos": 55, "ltac2_or_and_intropattern": 55, "ltac2_equality_intropattern": 55, "ltac2_naming_intropattern": 55, "ltac2_constr_with_bind": 55, "ltac2_simple_bind": 55, "qhyp": 55, "ltac2_red_flag": 55, "ltac2_in_claus": 55, "ltac2_occs_num": 55, "ltac2_occ": 55, "ltac2_concl_occ": 55, "ltac2_hypident_occ": 55, "ltac2_hypid": 55, "ltac2_as_or_and_ipat": 55, "ltac2_eqn_ipat": 55, "q_rewrit": 55, "ltac2_rewrit": 55, "ltac2_goal_tact": 55, "ltac2_as_nam": 55, "ltac2_by_tact": 55, "ltac2_as_ipat": 55, "replace_with": 55, "daili": 55, "eagerli": 55, "am": 55, "add1": [55, 64], "to_constr": 55, "ow": 55, "bliss": 55, "walk": [55, 71], "dialogu": 55, "site": 55, "blah": 55, "bar0": 55, "trickeri": 55, "summaris": 57, "accustom": 57, "worth": 57, "blanqui": 57, "quasi": 57, "congr": 57, "adjac": 57, "ssrsyntax": 57, "interfer": [57, 71], "sumxxx": 57, "boolean_if_scop": 57, "ssrrewrit": 57, "ssrident": 57, "_xxx_": 57, "annoi": 57, "p_xy": 57, "hp": [57, 67], "legibl": 57, "\u03c1": 57, "replic": 57, "b1": [57, 59], "b2": [57, 59], "suppress": [57, 75], "all_nul": 57, "prenex": 57, "n_i": 57, "ubiquit": 57, "incant": 57, "tx": 57, "resembl": 57, "occ_switch": 57, "aggress": 57, "pairwis": 57, "t0": 57, "largest": [57, 71], "uj": 57, "unkei": 57, "nm": 57, "sizabl": 57, "menial": 57, "instantli": 57, "undermin": 57, "dj": 57, "ej": 57, "tj": 57, "fk": 57, "xl": 57, "ym": 57, "bm": 57, "constantli": 57, "shuffl": 57, "isol": 57, "unavoid": 57, "subnk": 57, "le_n_m": 57, "le_m_n": 57, "le_n_p": 57, "encapsul": 57, "ihn": [57, 66, 67], "lt_n_m": 57, "pile": 57, "pop": [57, 71], "ihm": 57, "lt_tran": 57, "y_gt1": 57, "y_lt2": 57, "hyp0": 57, "y_lt3": 57, "ssrautoprop": 57, "d_item": 57, "clear_switch": 57, "unintend": 57, "hfg": 57, "trans_equ": 57, "ab": [57, 67, 71], "i_item": 57, "i_pattern": 57, "s_item": 57, "i_view": 57, "i_block": 57, "myop": 57, "ssripat_scop": 57, "ssripat": 57, "_a_": 57, "_b_": 57, "_hyp_": 57, "occ": 57, "eqp": 57, "scene": 57, "pointless": 57, "decomposit": 57, "xa": 57, "xb": 57, "_n_": 57, "pinpoint": 57, "pad": 57, "lastcas": 57, "add_last": 57, "last_spec": 57, "lastseq0": 57, "lastadd": 57, "last_spec_rect": 57, "last_spec_ind": 57, "last_spec_rec": 57, "last_spec_sind": 57, "lastp": 57, "abezoutn": 57, "k1": 57, "k2": 57, "muln0": 57, "gexpn0": 57, "mulg1": 57, "orderg1": 57, "eqn_mul1": 57, "andp": 57, "dvdn_tran": 57, "orderg": 57, "dvdn_mull": 57, "orderg_dvd": 57, "mulgi": 57, "gexpn1": 57, "gexpn_add": 57, "leq_add_sub": 57, "dvdn_subr": 57, "dvdn_mulr": 57, "muln1": 57, "dvdn1": 57, "mul1g": 57, "mylemma": 57, "my_lemma1": 57, "my_lemma2": 57, "dispos": 57, "analogu": 57, "g_1": 57, "g_n": 57, "g_": 57, "bmod": 57, "tactic1": 57, "tacticm": 57, "tacticn": 57, "c3": [57, 71], "c4": 57, "test_ind": 57, "test_sind": 57, "mult_comm": 57, "def_n": 57, "c_pattern": 57, "textbook": 57, "ssr_binder": 57, "h23": 57, "addnc": 57, "mczifi": 57, "ssrnat": 57, "ppx_deriv": 57, "lexer_config": 57, "menhirlib": 57, "shim": 57, "front": [57, 59], "ord_rect": 57, "ord_ind": 57, "ord_rec": 57, "ord_sind": 57, "rew_iff_rev": 57, "mkrel": 57, "erefl": 57, "uninterest": 57, "pm": 57, "orthogon": 57, "demand": 57, "abridg": 57, "wlog_stat": 57, "pain": 57, "quo_rem_un": 57, "q3": 57, "q4": 57, "r3": 57, "r4": 57, "leqp": 57, "gen": 57, "leqn": 57, "this_scop": 57, "ngt0": 57, "ltnv": 57, "nge0": 57, "neq0": 57, "addx": 57, "twoi": 57, "rstep": 57, "r_prefix": 57, "r_item": 57, "r_pattern": 57, "my_def": 57, "term2": 57, "ddoubl": 57, "ssroldrewritegoalsord": 57, "grasp": 57, "candid": [57, 58, 64, 72], "surgic": 57, "pen": 57, "my_eq": 57, "addn0": 57, "addn": 57, "addsnn": 57, "addnca": 57, "hrec": 57, "multirul": 57, "eqab": 57, "eqac": 57, "multi1": 57, "eqd0": 57, "multi2": 57, "anew": 57, "eq_adda_b": 57, "eq_adda_c": 57, "eqb0": 57, "multi3": 57, "multi1_rev": 57, "eqba": 57, "eqca": 57, "mult1_rev": 57, "medium": 57, "double": 57, "doublen": 57, "add_mul": 57, "muln": 57, "mule": 57, "mul_exp": 57, "expn": 57, "exp": 57, "oddn": 57, "naiv": 57, "trece": 57, "anywai": 57, "indetermin": 57, "\u03b7\u03b6": 57, "fubar": 57, "insub": 57, "idp": 57, "insubt": 57, "subnn": 57, "sumlist": 57, "eq_map": 57, "example_map": 57, "honour": 57, "bigop": 57, "idx": 57, "36": 57, "bigbodi": 57, "eq_bigr_": 57, "eq_big_": 57, "index_iota": 57, "eq_bigr": 57, "test_big_nest": 57, "prime_i": 57, "odd_j": 57, "summat": 57, "clamp": 57, "master_kei": 57, "lid": 57, "nosimpl": 57, "shine": 57, "spontan": 57, "my_congr_properti": 57, "hnm": 57, "card": 57, "glanc": 57, "term_i": 57, "addsn": 57, "undetermin": [57, 66], "region": 57, "toi": 57, "last_ind_list": 57, "ei": 57, "plus_ind": [57, 72], "n_gt0": 57, "pr_p": 57, "prod_": 57, "prime_decomp": 57, "big_prop": 57, "ihu": 57, "ihv": 57, "pb": 57, "op1": [57, 58], "p2q": 57, "hpa": 57, "hqa": 57, "q2p": 57, "hpb": 57, "hq": [57, 67], "pqequiv": 57, "hqab": 57, "ifflr": 57, "iffrl": 57, "brute": [57, 64], "elid": 57, "reflect_tru": 57, "reflect_fals": 57, "andE": 57, "orp": 57, "negp": 57, "hb": [57, 58], "termn": 57, "generalis": 57, "termvh": 57, "intron": 57, "introntf": 57, "intronf": 57, "pab": 57, "pa": 57, "gap": 57, "b3": 57, "norp": 57, "corpu": 57, "NO": 57, "parsimoni": 57, "d_tactic": 57, "modnam": 57, "nat_or_id": 57, "gen_item": 57, "int_mult": 57, "mult_mark": 57, "r_step": 57, "backchain": 57, "inher": 57, "obstruct": 57, "metatheori": 57, "nake": 57, "precondit": 58, "tactic_invoc": 58, "simple_intropattern_clos": 58, "naming_intropattern": [58, 67], "or_and_intropattern": 58, "equality_intropattern": 58, "op2": 58, "opn": 58, "h3": [58, 67], "introl": 58, "intror": 58, "erasur": [58, 67], "length_zero_iff_nil": 58, "threeintropatternscombin": 58, "ocurr": 58, "goal_occurr": 58, "simple_occurr": [58, 60, 64], "hyp_occ": 58, "concl_occ": 58, "hypid": 58, "in_hyp_a": 58, "as_ipat": 58, "serial": [58, 67], "unmatch": 58, "clariti": [58, 66], "proceed": [58, 77], "le_tran": 58, "repect": 58, "m170": 58, "m171": 58, "lappli": 58, "rtran": 58, "rnm": 58, "rmp": 58, "elegantli": 58, "unselect": 58, "uneed": 58, "interpet": 58, "hy": 58, "as_nam": 58, "modu": 58, "ponen": 58, "pattern_occ": [58, 64], "hloc": 58, "surpris": 58, "instantiate_ltac_vari": 58, "ev": 58, "f_rect": 58, "f_ind": 58, "f_rec": 58, "f_sind": 58, "lt_irrefl": 58, "exact_no_check": [58, 66], "vm_cast_no_check": 58, "native_cast_no_check": 58, "univ_name_list": 59, "search_queri": 59, "search_item": 59, "logical_kind": 59, "narrow": [59, 67], "land_comm": 59, "lor_comm": 59, "lxor_comm": 59, "lcm_comm": 59, "min_comm": 59, "gcd_comm": 59, "xorb_comm": 59, "max_comm": 59, "orb_comm": 59, "andb_comm": 59, "eqb_sym": 59, "_assoc": 59, "or_assoc": 59, "and_assoc": 59, "eq_trans_assoc": 59, "plus_o_n": 59, "plus_sn_m": 59, "f_equal2_plu": 59, "nat_rect_plu": 59, "bit0_eqb": 59, "div_exact": 59, "land_on": 59, "testbit_spec": 59, "pow_div_l": 59, "testbit_eqb": 59, "testbit_fals": 59, "testbit_tru": 59, "internal_": 59, "of_bit": 59, "to_bits_of_bit": 59, "to_bit": 59, "bool_of_sumbool": 59, "andb_prop": 59, "andb_true_intro": 59, "ldiff": 59, "tail_mul": 59, "of_hex_uint": 59, "of_uint": [59, 71], "iff_symmetr": 59, "iff_reflex": 59, "impl_reflex": 59, "eq_symmetr": 59, "eq_reflex": 59, "per_symmetr": 59, "neq_symmetr": 59, "reflexive_eq_dom_reflex": 59, "tail_add": 59, "tail_addmul": 59, "sqrt_iter": 59, "log2_it": 59, "add_succ_comm": 59, "plus_assoc_reverse_stt": 59, "add_shuffle3": 59, "add_shuffle0": 59, "add_shuffle1": 59, "add_shuffle2": 59, "testbit_nat": 59, "incl_refl": 59, "lel_refl": 59, "lel": 59, "add_carry_div2": 59, "_subterm": 59, "therebi": 59, "subpackag": 59, "printconf": 59, "grep": 59, "comextradep": 59, "query_extra_dep": 59, "section_path": 59, "base_includ": 59, "sustem": 59, "confirm": [59, 71], "pedant": 59, "78": 59, "formatt": 59, "beyond": [59, 63], "exce": [59, 67], "askra": 59, "obfusc": 59, "uncheck": 59, "bypass": 59, "check_guard": 59, "check_posit": 59, "check_univers": 59, "ackermann": 59, "ack": [59, 60], "ackm": 59, "plug": 59, "ind_bool": 59, "implementor": 59, "auto_us": 60, "fake": 60, "feed": 60, "carthi": 60, "ack0": 60, "ack1": 60, "ack2": 60, "base0": 60, "resack0": 60, "29": 60, "g0": [60, 67], "g1": 60, "g2": 60, "base1": 60, "resg0": 60, "110": 60, "resg1": 60, "imedi": 60, "dt": 60, "pressur": 60, "nonempti": 60, "ot": 60, "network": 60, "prefac": 60, "needless": 60, "hints_regexp": 60, "emp": 60, "ep": 60, "mispars": 60, "plus0l": 60, "plus0r": 60, "plussl": 60, "plussr": 60, "carefulli": 60, "nonneg": 60, "section_var_expr": [60, 66], "instrument": 61, "tautolog": 62, "mun94": [62, 77], "1000": [62, 64], "nelson": 62, "oppen": 62, "inj": 62, "provis": 62, "btauto_term": 62, "mtac2": 63, "\u03bbprolog": 63, "wikipedia": 64, "equivalence_class": 64, "mayb": 64, "drive": 64, "4476": 64, "weakli": 64, "reference_occ": 64, "pred_add": 64, "\u03b2\u03b9\u03b6": 64, "undesir": 64, "preceed": 64, "ler90": [64, 77], "4776": 64, "dozen": 64, "gregoirel02": [64, 77], "dramat": 64, "bdenesgregoire11": [64, 77], "wall": 64, "clock": 64, "native_compute_profil": 64, "consult": 64, "irreversibli": 64, "strategy_level": [64, 71], "tie": 64, "strategy_level_or_var": [64, 71], "proport": 64, "transact": [64, 77], "082": 64, "043u": 64, "039": 64, "568": 64, "547u": 64, "021": 64, "002u": 64, "003": 64, "001": 64, "001u": 64, "super": 64, "robustli": 64, "inabl": 64, "12200": 64, "tt_n": 66, "t_h": 66, "tt_h": 66, "glt89": [66, 77], "theorem_nam": 66, "fetch": 66, "unnamed_thm": 66, "misus": 66, "recheck": 66, "gulp": 66, "498": 66, "starred_ident_ref": 66, "section_var_expr50": 66, "section_var_expr0": 66, "hn": 66, "radixnotzero": 66, "noedit": 66, "name_go": 66, "inact": 66, "attent": 66, "9146": 66, "caution": 66, "computation": 66, "aim": 66, "y13": 66, "pale": 66, "bg": 66, "foreground": 66, "bold": 66, "strikeout": 66, "lexer": 66, "myer": [66, 77], "mye86": [66, 77], "undif": 66, "solve_constraint": 66, "stat": 66, "live_word": 66, "heap_word": 66, "top_heap_word": 66, "experienc": 66, "induction_principl": 67, "ih": 67, "mental": 67, "induction_test": 67, "induction_test2": 67, "ihn0": [67, 72], "conor": [67, 77], "mcbride": [67, 77], "mcb00": [67, 77], "ct95": [67, 77], "lt_1_r": 67, "ihl": 67, "simple_bind": 67, "disjointed": 67, "outermost": 67, "versu": 67, "esimplifi": 67, "contructor": 67, "subequ": 67, "contains0": 67, "in_hd": 67, "in_tl": 67, "contains0_ind": 67, "contains0_sind": 67, "hl": 67, "heqp": 67, "heql": 67, "rect": 67, "le_rect": 67, "le_rec": 67, "inversion_clear": 67, "vec": 67, "vec_rect": 67, "vec_ind": 67, "vec_rec": 67, "vec_sind": 67, "invert_con": 67, "h2_": 67, "h2_0": 67, "uip_refl_nat": 67, "nq": 67, "scheme_kind": 67, "sort_famili": [67, 72], "tree_forest_rec": 67, "forest_tree_rec": 67, "nat_rec_nodep": 67, "nat_case_nodep": 67, "tree_forest_ind": 67, "forest_tree_ind": 67, "tree_forest_mutind": 67, "tree_forest_rect": 67, "forest_tree_rect": 67, "tree_forest_mutrect": 67, "leminv": 67, "generalize_eq": 67, "revisit": 67, "gen_x": 67, "amen": 67, "generalize_eqs_var": 67, "simplify_dep_elim": 67, "ihp": 67, "do_depind": 67, "vnil": 67, "vector_rect": 67, "vector_ind": 67, "vector_rec": 67, "vector_sind": 67, "dismiss": 67, "type_rect": 67, "type_ind": 67, "type_rec": 67, "type_sind": 67, "ctx": 67, "snoc": 67, "ctx_rect": 67, "ctx_ind": 67, "ctx_rec": 67, "ctx_sind": 67, "tau": 67, "conc": 67, "term_rect": 67, "term_ind": 67, "term_rec": 67, "term_sind": 67, "allevi": 67, "plumb": 67, "simpl_depind": 67, "ihterm": 67, "d0": [67, 71], "notation_declar": 71, "scope_nam": 71, "untermin": 71, "unend": 71, "tight": 71, "articul": 71, "highest": 71, "nonassoci": 71, "ll1": 71, "samel": 71, "rudimentari": 71, "hv": 71, "preferenti": 71, "incompar": 71, "reimport": 71, "parm": 71, "enable_notation_flag": 71, "123": 71, "reachabl": 71, "vernac_control": 71, "za": 71, "9_": 71, "punctuat": [71, 75], "sep": 71, "elements1": 71, "elements2": 71, "righta": 71, "lefta": 71, "tactic_then_loc": 71, "docgram": 71, "fullgrammar": 71, "orderedgrammar": 71, "dom": 71, "subset_bi": 71, "myforal": 71, "exists_differ": 71, "_p": 71, "force2": 71, "_e": 71, "mylet": 71, "funapp": 71, "exists_non_nul": 71, "apply_id": 71, "expr_rect": 71, "expr_ind": 71, "expr_rec": 71, "expr_sind": 71, "border": 71, "binder_interp": 71, "explicit_subentri": 71, "diagnost": 71, "_scope": 71, "byte_scop": 71, "hex_int_scop": 71, "hex_nat_scop": 71, "hex_uint_scop": 71, "f_scope": 71, "_f_scope": 71, "_t_scope": 71, "_bool_scop": 71, "n_scope": 71, "positive_scop": 71, "qc_scope": 71, "qc": 71, "printabl": 71, "beep": 71, "char_scop": 71, "nlist": 71, "plus1": 71, "explicit_id": 71, "unnatur": 71, "number_modifi": 71, "number_string_via": 71, "refresh": 71, "hexa": 71, "remap": 71, "seemingli": 71, "radix3": 71, "x3p1": 71, "x3p2": 71, "radix3_rect": 71, "radix3_ind": 71, "radix3_rec": 71, "radix3_sind": 71, "of_uint_dec": 71, "d1": 71, "d2": 71, "rev": 71, "uintdecim": 71, "uinthexadecim": 71, "to_uint_dec": 71, "to_uint": 71, "radix3_scop": 71, "pos_neg_int63": 71, "int_wrapp": 71, "int_wrap": 71, "iempti": 71, "iunit": 71, "isum": 71, "i2": 71, "to_num_uint": 71, "nset": 71, "fin_scop": 71, "id_str": 71, "abc": 71, "ltac_production_item": 71, "_list_sep": 71, "destruct_with_eqn": 71, "smart_glob": 71, "tacn": 71, "_list": 71, "ne_": 71, "_complet": 72, "_correct": 72, "_equat": 72, "recdef": 72, "sf": 72, "_tcc": 72, "_termin": 72, "antonia": 72, "balaa": 72, "barth": 72, "pichardi": [72, 77], "vlad": 72, "rusu": 72, "plus_equ": 72, "plus_rect": 72, "plus_rec": 72, "r_plus_correct": 72, "r_plus_complet": 72, "minus_ind": 72, "sub_equ": 72, "func_scheme_def": 72, "div2_ind": 72, "div2_equ": 72, "div2_l": 72, "tree_size_equ": 72, "tree_size_rect": 72, "tree_size_ind": 72, "tree_size_rec": 72, "forest_size_equ": 72, "forest_size_rect": 72, "forest_size_ind": 72, "forest_size_rec": 72, "r_tree_size_correct": 72, "r_forest_size_correct": 72, "r_tree_size_complet": 72, "r_forest_size_complet": 72, "tree_size_ind2": 72, "forest_size_ind2": 72, "onlin": 73, "nearli": 73, "hyphen": 74, "estim": 74, "zim19": [74, 77], "trim": 74, "mylib": 74, "javadoc": 75, "ocamldoc": 75, "todd": 75, "coram": 75, "aft": 75, "preformat": 75, "overwritten": 75, "lex": 75, "ensuremath": 75, "asterisk": 75, "dash": 75, "mistaken": 75, "_emphas": 75, "text_": 75, "lastli": 75, "sheet": 75, "dvi": 75, "postscript": 75, "texmac": 75, "meaningless": 75, "trailer": 75, "preambl": 75, "quiet": 75, "domin": 75, "tableofcont": 75, "subtitl": 75, "modulenam": 75, "latin1": 75, "8859": 75, "inputenc": 75, "utf8x": 75, "ctan": 75, "textgreek": 75, "stmaryrd": 75, "declareunicodecharact": 75, "usepackag": 75, "xcolor": 75, "coqdockw": 75, "coqdocid": 75, "san": 75, "serif": 75, "slant": 75, "renewcommand": 75, "textsl": 75, "coqdocmodul": 75, "abel": 77, "gothenburg": 77, "north": 77, "holland": 77, "1981": 77, "mathieu": 77, "boespflug": 77, "\u00e9": 77, "\u00e8": 77, "gr": 77, "goir": 77, "throttl": 77, "jouannaud": 77, "zhong": 77, "shao": 77, "cpp": 77, "kent": 77, "taiwan": 77, "7086": 77, "lectur": 77, "362": 77, "377": 77, "springer": 77, "dx": 77, "doi": 77, "1007": 77, "978": 77, "642": 77, "25379": 77, "9_26": 77, "abadi": 77, "takahashi": 77, "ito": 77, "1281": 77, "verlag": 77, "1997": 77, "cockx": 77, "tame": 77, "proc": 77, "acm": 77, "lang": 77, "1145": 77, "3434341": 77, "conchon": 77, "sigplan": 77, "freiburg": 77, "germani": 77, "2007": 77, "ftp": 77, "publi": 77, "puf": 77, "wml07": 77, "rr": 77, "1088": 77, "hal": 77, "00075471": 77, "rard": 77, "mathematiqu": 77, "0515": 77, "00076039": 77, "0530": 77, "00076024": 77, "un": 77, "th\u00e9ori": 77, "universit\u00e9": 77, "ma": 77, "societi": 77, "151": 77, "184": 77, "berlin": 77, "heidelberg": 77, "540": 77, "15983": 77, "5_13": 77, "colog": 77, "52335": 77, "9_47": 77, "delphin": 77, "terrass": 77, "104": 77, "fei": 77, "william": 77, "craig": 77, "combinatori": 77, "1958": 77, "9e": 77, "lui": 77, "dama": 77, "9th": 77, "sigact": 77, "popl": 77, "82": 77, "207": 77, "212": 77, "york": 77, "ny": 77, "usa": 77, "1982": 77, "582153": 77, "582176": 77, "rosser": 77, "indag": 77, "1972": 77, "actic": 77, "anguag": 77, "ystem": 77, "lpar": 77, "reunion": 77, "island": 77, "1955": 77, "lirmm": 77, "7edelahay": 77, "2700": 77, "cosmo": 77, "birkhaus": 77, "isbn": 77, "8176": 77, "3763": 77, "journal": 77, "ga": 77, "\u00eb": 77, "tan": 77, "3290316": 77, "94": 77, "996": 77, "1158": 77, "135": 77, "152": 77, "2005": 77, "alessandro": 77, "giovini": 77, "teo": 77, "mora": 77, "gianfranco": 77, "niesi": 77, "lorenzo": 77, "robbiano": 77, "traverso": 77, "cube": 77, "issac": 77, "taylor": 77, "tract": 77, "aleksandar": 77, "nanevski": 77, "derek": 77, "dreyer": 77, "175": 77, "2034574": 77, "2034798": 77, "mitchel": 77, "wand": 77, "peyton": 77, "jone": 77, "seventh": 77, "icfp": 77, "pittsburgh": 77, "235": 77, "246": 77, "581478": 77, "581501": 77, "seldin": 77, "essai": 77, "academ": 77, "1980": 77, "elsevi": 77, "17660": 77, "8_62": 77, "gyesik": 77, "117": 77, "irif": 77, "extraction2002": 77, "sebastiaan": 77, "luttik": 77, "eelco": 77, "asf": 77, "sdf": 77, "sandrin": 77, "blazi": 77, "2013": 77, "7998": 77, "lnc": 77, "renn": 77, "00816703": 77, "39634": 77, "2_5": 77, "197": 77, "216": 77, "lic": 77, "84": 77, "d\u00e9monstrat": 77, "automatiqu": 77, "logiqu": 77, "propositionnel": 77, "intuitionnist": 77, "fondamental": 77, "eugen": 77, "nd": 77, "algorithmica": 77, "xmailserv": 77, "diff2": 77, "947": 77, "bezem": 77, "groot": 77, "664": 77, "92": 77, "49": 77, "\u03c9": 77, "75277": 77, "75285": 77, "328": 77, "345": 77, "bfb0037116": 77, "209": 77, "228": 77, "bfb0040259": 77, "rushbi": 77, "owr": 77, "shankar": 77, "709": 77, "720": 77, "oq": 77, "4502": 77, "237": 77, "252": 77, "ouri": 77, "irst": 77, "ype": 77, "tphol": 77, "rta": 77, "2051": 77, "357": 77, "zine": 77, "el": 77, "abidin": 77, "benaissa": 77, "tolmach": 77, "th\u00e8se": 77, "doctorat": 77, "collabor": 77, "tel": 77, "ouvert": 77, "02451322": 77}, "objects": {"&quot;All&quot; is a predefined collection containing all variables": [[66, 0, 1, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined", " It can&#x27;t be redefined"]], "": [[71, 0, 1, "coq:exn.'via'-and-'abstract'-cannot-be-used-together", "&#x27;via&#x27; and &#x27;abstract&#x27; cannot be used together"], [54, 1, 1, "coq:tacn.+-(backtracking-branching)", "+ (backtracking branching)"], [57, 1, 1, "coq:tacn.=>", "=&gt;"], [66, 3, 1, "coq:cmd.Abort", "Abort"], [59, 3, 1, "coq:cmd.About", "About"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry", "Activation of abbreviations does not expect mentioning a grammar entry"], [71, 2, 1, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope", "Activation of abbreviations does not expect mentioning a scope"], [29, 3, 1, "coq:cmd.Add", "Add"], [11, 3, 1, "coq:cmd.Add-Field", "Add Field"], [3, 3, 1, "coq:cmd.Add-Morphism", "Add Morphism"], [3, 3, 1, "coq:cmd.Add-Parametric-Morphism", "Add Parametric Morphism"], [3, 3, 1, "coq:cmd.Add-Parametric-Relation", "Add Parametric Relation"], [3, 3, 1, "coq:cmd.Add-Parametric-Setoid", "Add Parametric Setoid"], [3, 3, 1, "coq:cmd.Add-Relation", "Add Relation"], [11, 3, 1, "coq:cmd.Add-Ring", "Add Ring"], [3, 3, 1, "coq:cmd.Add-Setoid", "Add Setoid"], [5, 3, 1, "coq:cmd.Add-Zify", "Add Zify"], [9, 3, 1, "coq:cmd.Admit-Obligations", "Admit Obligations"], [66, 3, 1, "coq:cmd.Admitted", "Admitted"], [12, 4, 1, "coq:flag.Allow-StrictProp", "Allow StrictProp"], [44, 0, 1, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once", "Argument at position \u2018natural\u2019 is mentioned more than once"], [54, 0, 1, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term", "Argument of match does not evaluate to a term"], [41, 3, 1, "coq:cmd.Arguments", "Arguments"], [44, 0, 1, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode", "Arguments given by name or position not supported in explicit mode"], [11, 0, 1, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type", "Arguments of ring_simplify do not have all the same type"], [41, 0, 1, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed", "Arguments of section variables such as \u2018name\u2019 may not be renamed"], [46, 4, 1, "coq:flag.Asymmetric-Patterns", "Asymmetric Patterns"], [66, 0, 1, "coq:exn.Attempt-to-save-an-incomplete-proof", "Attempt to save an incomplete proof"], [29, 3, 1, "coq:cmd.Attributes", "Attributes"], [34, 4, 1, "coq:flag.Auto-Template-Polymorphism", "Auto Template Polymorphism"], [34, 2, 1, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic", "Automatically declaring \u2018ident\u2019 as template polymorphic"], [28, 3, 1, "coq:cmd.Axiom", "Axiom"], [28, 3, 1, "coq:cmd.Axioms", "Axioms"], [59, 3, 1, "coq:cmd.Back", "Back"], [59, 3, 1, "coq:cmd.BackTo", "BackTo"], [11, 0, 1, "coq:exn.Bad-lemma-for-decidability-of-equality", "Bad lemma for decidability of equality"], [59, 0, 1, "coq:exn.Bad-magic-number", "Bad magic number"], [64, 0, 1, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019", "Bad occurrence number of \u2018qualid\u2019"], [12, 2, 1, "coq:warn.Bad-relevance", "Bad relevance"], [11, 0, 1, "coq:exn.Bad-ring-structure", "Bad ring structure"], [71, 3, 1, "coq:cmd.Bind-Scope", "Bind Scope"], [67, 4, 1, "coq:flag.Boolean-Equality-Schemes", "Boolean Equality Schemes"], [5, 5, 1, "coq:thm.Bound-on-the-ceiling-function", "Bound on the ceiling function"], [66, 0, 1, "coq:exn.Brackets-do-not-support-multi-goal-selectors", "Brackets do not support multi-goal selectors"], [66, 6, 1, "coq:opt.Bullet-Behavior", "Bullet Behavior"], [72, 2, 1, "coq:warn.Cannot-build-functional-inversion-principle", "Cannot build functional inversion principle"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion", "Cannot change \u2018ident\u2019, it is used in conclusion"], [58, 0, 1, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019", "Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"], [60, 0, 1, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference", "Cannot coerce \u2018qualid\u2019 to an evaluable reference"], [72, 2, 1, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019", "Cannot define graph for \u2018ident\u2019"], [72, 2, 1, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019", "Cannot define principle(s) for \u2018ident\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019", "Cannot find a declared ring structure for equality \u2018term\u2019"], [11, 0, 1, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019", "Cannot find a declared ring structure over \u2018term\u2019"], [64, 0, 1, "coq:exn.Cannot-find-a-relation-to-rewrite", "Cannot find a relation to rewrite"], [64, 0, 1, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019", "Cannot find any non-recursive equality over \u2018ident\u2019"], [72, 0, 1, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019", "Cannot find induction information on \u2018qualid\u2019"], [72, 0, 1, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019", "Cannot find inversion information for hypothesis \u2018ident\u2019"], [59, 0, 1, "coq:exn.Cannot-find-library-foo-in-loadpath", "Cannot find library foo in loadpath"], [4, 0, 1, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019", "Cannot find the source class of \u2018qualid\u2019"], [4, 0, 1, "coq:exn.Cannot-find-the-target-class", "Cannot find the target class"], [35, 2, 1, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored", "Cannot import local constant, it will be ignored"], [71, 0, 1, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment", "Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"], [71, 0, 1, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this number as a value of type \u2018type\u2019"], [71, 0, 1, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019", "Cannot interpret this string as a value of type \u2018type\u2019"], [59, 0, 1, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019", "Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"], [58, 0, 1, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019", "Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"], [62, 0, 1, "coq:exn.Cannot-recognize-a-boolean-equality", "Cannot recognize a boolean equality"], [67, 0, 1, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019", "Cannot recognize a statement based on \u2018reference\u2019"], [4, 0, 1, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019", "Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"], [64, 0, 1, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference", "Cannot turn [inductive|constructor] into an evaluable reference"], [72, 0, 1, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure", "Cannot use mutual definition with well-founded recursion or measure"], [42, 3, 1, "coq:cmd.Canonical-Structure", "Canonical Structure"], [59, 0, 1, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath", "Can\u2019t find file \u2018ident\u2019 on loadpath"], [67, 4, 1, "coq:flag.Case-Analysis-Schemes", "Case Analysis Schemes"], [5, 5, 1, "coq:thm.Case-split", "Case split"], [40, 0, 1, "coq:exn.Casts-are-not-supported-in-this-pattern", "Casts are not supported in this pattern"], [2, 3, 1, "coq:cmd.Cd", "Cd"], [59, 3, 1, "coq:cmd.Check", "Check"], [13, 3, 1, "coq:cmd.Class", "Class"], [71, 3, 1, "coq:cmd.Close-Scope", "Close Scope"], [30, 3, 1, "coq:cmd.CoFixpoint", "CoFixpoint"], [30, 3, 1, "coq:cmd.CoInductive", "CoInductive"], [4, 3, 1, "coq:cmd.Coercion", "Coercion"], [66, 3, 1, "coq:cmd.Collection", "Collection"], [67, 3, 1, "coq:cmd.Combined-Scheme", "Combined Scheme"], [29, 3, 1, "coq:cmd.Comments", "Comments"], [64, 3, 1, "coq:cmd.Compute", "Compute"], [54, 0, 1, "coq:exn.Condition-not-satisfied", "Condition not satisfied"], [28, 3, 1, "coq:cmd.Conjecture", "Conjecture"], [28, 3, 1, "coq:cmd.Conjectures", "Conjectures"], [14, 3, 1, "coq:cmd.Constraint", "Constraint"], [38, 3, 1, "coq:cmd.Context", "Context"], [44, 4, 1, "coq:flag.Contextual-Implicit", "Contextual Implicit"], [51, 4, 1, "coq:flag.Coqtop-Exit-On-Error", "Coqtop Exit On Error"], [32, 3, 1, "coq:cmd.Corollary", "Corollary"], [60, 3, 1, "coq:cmd.Create-HintDb", "Create HintDb"], [14, 7, 1, "coq:attr.Cumulative", "Cumulative"], [14, 4, 1, "coq:flag.Cumulativity-Weak-Constraints", "Cumulativity Weak Constraints"], [54, 3, 1, "coq:cmd.Debug", "Debug"], [59, 6, 1, "coq:opt.Debug", "Debug"], [60, 4, 1, "coq:flag.Debug-Auto", "Debug Auto"], [60, 4, 1, "coq:flag.Debug-Eauto", "Debug Eauto"], [57, 4, 1, "coq:flag.Debug-SsrMatching", "Debug SsrMatching"], [57, 4, 1, "coq:flag.Debug-Ssreflect", "Debug Ssreflect"], [60, 4, 1, "coq:flag.Debug-Trivial", "Debug Trivial"], [54, 0, 1, "coq:exn.Debug-mode-not-available-in-the-IDE", "Debug mode not available in the IDE"], [67, 4, 1, "coq:flag.Decidable-Equality-Schemes", "Decidable Equality Schemes"], [71, 3, 1, "coq:cmd.Declare-Custom-Entry", "Declare Custom Entry"], [64, 3, 1, "coq:cmd.Declare-Equivalent-Keys", "Declare Equivalent Keys"], [13, 3, 1, "coq:cmd.Declare-Instance", "Declare Instance"], [64, 3, 1, "coq:cmd.Declare-Left-Step", "Declare Left Step"], [59, 3, 1, "coq:cmd.Declare-ML-Module", "Declare ML Module"], [35, 3, 1, "coq:cmd.Declare-Module", "Declare Module"], [3, 3, 1, "coq:cmd.Declare-Morphism", "Declare Morphism"], [64, 3, 1, "coq:cmd.Declare-Reduction", "Declare Reduction"], [64, 3, 1, "coq:cmd.Declare-Right-Step", "Declare Right Step"], [71, 3, 1, "coq:cmd.Declare-Scope", "Declare Scope"], [60, 2, 1, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead", "Declaring arbitrary terms as hints is fragile and deprecated; it is recommended to declare a toplevel constant instead"], [58, 6, 1, "coq:opt.Default-Goal-Selector", "Default Goal Selector"], [66, 6, 1, "coq:opt.Default-Proof-Mode", "Default Proof Mode"], [66, 6, 1, "coq:opt.Default-Proof-Using", "Default Proof Using"], [59, 6, 1, "coq:opt.Default-Timeout", "Default Timeout"], [66, 3, 1, "coq:cmd.Defined", "Defined"], [32, 3, 1, "coq:cmd.Definition", "Definition"], [12, 4, 1, "coq:flag.Definitional-UIP", "Definitional UIP"], [71, 3, 1, "coq:cmd.Delimit-Scope", "Delimit Scope"], [34, 4, 1, "coq:flag.Dependent-Proposition-Eliminators", "Dependent Proposition Eliminators"], [6, 3, 1, "coq:cmd.Derive", "Derive"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion", "Derive Dependent Inversion"], [67, 3, 1, "coq:cmd.Derive-Dependent-Inversion_clear", "Derive Dependent Inversion_clear"], [67, 3, 1, "coq:cmd.Derive-Inversion", "Derive Inversion"], [67, 3, 1, "coq:cmd.Derive-Inversion_clear", "Derive Inversion_clear"], [66, 6, 1, "coq:opt.Diffs", "Diffs"], [71, 3, 1, "coq:cmd.Disable-Notation", "Disable Notation"], [59, 3, 1, "coq:cmd.Drop", "Drop"], [5, 6, 1, "coq:opt.Dump-Arith", "Dump Arith"], [59, 0, 1, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the", "Dynlink error: execution of module initializers in the"], [46, 0, 1, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies", "Either there is a type incompatibility or the problem involves dependencies"], [67, 4, 1, "coq:flag.Elimination-Schemes", "Elimination Schemes"], [71, 3, 1, "coq:cmd.Enable-Notation", "Enable Notation"], [38, 3, 1, "coq:cmd.End", "End"], [71, 0, 1, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation", "End of quoted string not followed by a space in notation"], [64, 3, 1, "coq:cmd.Eval", "Eval"], [32, 3, 1, "coq:cmd.Example", "Example"], [13, 3, 1, "coq:cmd.Existing-Class", "Existing Class"], [13, 3, 1, "coq:cmd.Existing-Instance", "Existing Instance"], [13, 3, 1, "coq:cmd.Existing-Instances", "Existing Instances"], [35, 3, 1, "coq:cmd.Export", "Export"], [54, 0, 1, "coq:exn.Expression-does-not-evaluate-to-a-tactic", "Expression does not evaluate to a tactic"], [2, 3, 1, "coq:cmd.Extract-Callback", "Extract Callback"], [2, 0, 1, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction", "Extract Callback is supported only for OCaml extraction"], [2, 3, 1, "coq:cmd.Extract-Constant", "Extract Constant"], [2, 3, 1, "coq:cmd.Extract-Foreign-Constant", "Extract Foreign Constant"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction", "Extract Foreign Constant is supported only for OCaml extraction"], [2, 0, 1, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions", "Extract Foreign Constant is supported only for functions"], [2, 3, 1, "coq:cmd.Extract-Inductive", "Extract Inductive"], [2, 3, 1, "coq:cmd.Extract-Inlined-Constant", "Extract Inlined Constant"], [2, 3, 1, "coq:cmd.Extraction", "Extraction"], [2, 4, 1, "coq:flag.Extraction-AutoInline", "Extraction AutoInline"], [2, 3, 1, "coq:cmd.Extraction-Blacklist", "Extraction Blacklist"], [2, 4, 1, "coq:flag.Extraction-Conservative-Types", "Extraction Conservative Types"], [2, 6, 1, "coq:opt.Extraction-File-Comment", "Extraction File Comment"], [2, 6, 1, "coq:opt.Extraction-Flag", "Extraction Flag"], [2, 3, 1, "coq:cmd.Extraction-Implicit", "Extraction Implicit"], [2, 3, 1, "coq:cmd.Extraction-Inline", "Extraction Inline"], [2, 4, 1, "coq:flag.Extraction-KeepSingleton", "Extraction KeepSingleton"], [2, 3, 1, "coq:cmd.Extraction-Language", "Extraction Language"], [2, 3, 1, "coq:cmd.Extraction-Library", "Extraction Library"], [2, 3, 1, "coq:cmd.Extraction-NoInline", "Extraction NoInline"], [2, 4, 1, "coq:flag.Extraction-Optimize", "Extraction Optimize"], [2, 6, 1, "coq:opt.Extraction-Output-Directory", "Extraction Output Directory"], [2, 4, 1, "coq:flag.Extraction-SafeImplicits", "Extraction SafeImplicits"], [2, 3, 1, "coq:cmd.Extraction-TestCompile", "Extraction TestCompile"], [2, 4, 1, "coq:flag.Extraction-TypeExpand", "Extraction TypeExpand"], [32, 3, 1, "coq:cmd.Fact", "Fact"], [59, 3, 1, "coq:cmd.Fail", "Fail"], [54, 0, 1, "coq:exn.Failed-to-progress", "Failed to progress"], [59, 4, 1, "coq:flag.Fast-Name-Printing", "Fast Name Printing"], [59, 0, 1, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019", "File not found on loadpath: \u2018string\u2019"], [59, 0, 1, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs", "Files processed by Load cannot leave open proofs"], [9, 3, 1, "coq:cmd.Final-Obligation", "Final Obligation"], [62, 6, 1, "coq:opt.Firstorder-Depth", "Firstorder Depth"], [62, 6, 1, "coq:opt.Firstorder-Solver", "Firstorder Solver"], [34, 3, 1, "coq:cmd.Fixpoint", "Fixpoint"], [41, 0, 1, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019", "Flag &#x27;rename&#x27; expected to rename \u2018name\u2019 into \u2018name\u2019"], [66, 3, 1, "coq:cmd.Focus", "Focus"], [46, 0, 1, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected", "Found a constructor of inductive type term while a constructor of term is expected"], [64, 0, 1, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause", "Found an &quot;at&quot; clause without &quot;with&quot; clause"], [71, 2, 1, "coq:warn.Found-no-matching-notation-to-enable-or-disable", "Found no matching notation to enable or disable"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal", "Found no subterm matching \u2018term\u2019 in the current goal"], [64, 0, 1, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019", "Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"], [4, 0, 1, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019", "Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"], [59, 3, 1, "coq:cmd.From-\u2026-Dependency", "From \u2026 Dependency"], [59, 3, 1, "coq:cmd.From-\u2026-Require", "From \u2026 Require"], [4, 0, 1, "coq:exn.Funclass-cannot-be-a-source-class", "Funclass cannot be a source class"], [72, 3, 1, "coq:cmd.Function", "Function"], [72, 3, 1, "coq:cmd.Functional-Case", "Functional Case"], [72, 3, 1, "coq:cmd.Functional-Scheme", "Functional Scheme"], [44, 3, 1, "coq:cmd.Generalizable", "Generalizable"], [72, 3, 1, "coq:cmd.Generate-graph-for", "Generate graph for"], [66, 3, 1, "coq:cmd.Goal", "Goal"], [59, 4, 1, "coq:flag.Guard-Checking", "Guard Checking"], [66, 3, 1, "coq:cmd.Guarded", "Guarded"], [60, 3, 1, "coq:cmd.Hint-Constants", "Hint Constants"], [60, 3, 1, "coq:cmd.Hint-Constructors", "Hint Constructors"], [60, 3, 1, "coq:cmd.Hint-Cut", "Hint Cut"], [60, 3, 1, "coq:cmd.Hint-Extern", "Hint Extern"], [60, 3, 1, "coq:cmd.Hint-Immediate", "Hint Immediate"], [60, 3, 1, "coq:cmd.Hint-Mode", "Hint Mode"], [60, 3, 1, "coq:cmd.Hint-Opaque", "Hint Opaque"], [60, 3, 1, "coq:cmd.Hint-Projections", "Hint Projections"], [60, 3, 1, "coq:cmd.Hint-Resolve", "Hint Resolve"], [60, 3, 1, "coq:cmd.Hint-Rewrite", "Hint Rewrite"], [60, 3, 1, "coq:cmd.Hint-Transparent", "Hint Transparent"], [60, 3, 1, "coq:cmd.Hint-Unfold", "Hint Unfold"], [60, 3, 1, "coq:cmd.Hint-Variables", "Hint Variables"], [57, 3, 1, "coq:cmd.Hint-View-for", "Hint View for"], [57, 3, 1, "coq:cmd.Hint-View-for-apply", "Hint View for apply"], [57, 3, 1, "coq:cmd.Hint-View-for-move", "Hint View for move"], [28, 3, 1, "coq:cmd.Hypotheses", "Hypotheses"], [28, 3, 1, "coq:cmd.Hypothesis", "Hypothesis"], [72, 0, 1, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function", "Hypothesis \u2018ident\u2019 must contain at least one Function"], [66, 6, 1, "coq:opt.Hyps-Limit", "Hyps Limit"], [62, 0, 1, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality", "I don\u2019t know how to handle dependent equality"], [4, 3, 1, "coq:cmd.Identity-Coercion", "Identity Coercion"], [13, 2, 1, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class", "Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"], [44, 2, 1, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position", "Ignoring implicit binder declaration in unexpected position"], [9, 0, 1, "coq:exn.Ill-formed-recursive-definition", "Ill-formed recursive definition"], [34, 0, 1, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe", "Ill-formed template inductive declaration: not polymorphic on any universe"], [44, 4, 1, "coq:flag.Implicit-Arguments", "Implicit Arguments"], [44, 3, 1, "coq:cmd.Implicit-Type", "Implicit Type"], [44, 3, 1, "coq:cmd.Implicit-Types", "Implicit Types"], [35, 3, 1, "coq:cmd.Import", "Import"], [35, 3, 1, "coq:cmd.Include", "Include"], [35, 3, 1, "coq:cmd.Include-Type", "Include Type"], [57, 0, 1, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)", "Incorrect number of tactics (expected N tactics, was given M)"], [34, 3, 1, "coq:cmd.Inductive", "Inductive"], [71, 3, 1, "coq:cmd.Infix", "Infix"], [54, 3, 1, "coq:cmd.Info", "Info"], [60, 4, 1, "coq:flag.Info-Auto", "Info Auto"], [60, 4, 1, "coq:flag.Info-Eauto", "Info Eauto"], [54, 6, 1, "coq:opt.Info-Level", "Info Level"], [5, 4, 1, "coq:flag.Info-Micromega", "Info Micromega"], [60, 4, 1, "coq:flag.Info-Trivial", "Info Trivial"], [59, 3, 1, "coq:cmd.Inspect", "Inspect"], [13, 3, 1, "coq:cmd.Instance", "Instance"], [59, 3, 1, "coq:cmd.Instructions", "Instructions"], [62, 4, 1, "coq:flag.Intuition-Negation-Unfolding", "Intuition Negation Unfolding"], [59, 0, 1, "coq:exn.Invalid-backtrack", "Invalid backtrack"], [67, 8, 1, "coq:table.Keep-Equalities", "Keep Equalities"], [67, 4, 1, "coq:flag.Keep-Proof-Equalities", "Keep Proof Equalities"], [64, 4, 1, "coq:flag.Kernel-Term-Sharing", "Kernel Term Sharing"], [64, 4, 1, "coq:flag.Keyed-Unification", "Keyed Unification"], [38, 0, 1, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019", "Last block to end has name \u2018ident\u2019"], [32, 3, 1, "coq:cmd.Lemma", "Lemma"], [38, 3, 1, "coq:cmd.Let", "Let"], [38, 3, 1, "coq:cmd.Let-CoFixpoint", "Let CoFixpoint"], [38, 3, 1, "coq:cmd.Let-Fixpoint", "Let Fixpoint"], [5, 4, 1, "coq:flag.Lia-Cache", "Lia Cache"], [59, 3, 1, "coq:cmd.Load", "Load"], [59, 0, 1, "coq:exn.Load-is-not-supported-inside-proofs", "Load is not supported inside proofs"], [59, 3, 1, "coq:cmd.Locate", "Locate"], [59, 3, 1, "coq:cmd.Locate-File", "Locate File"], [59, 3, 1, "coq:cmd.Locate-Library", "Locate Library"], [59, 3, 1, "coq:cmd.Locate-Ltac", "Locate Ltac"], [59, 3, 1, "coq:cmd.Locate-Ltac2", "Locate Ltac2"], [59, 3, 1, "coq:cmd.Locate-Module", "Locate Module"], [59, 3, 1, "coq:cmd.Locate-Term", "Locate Term"], [60, 6, 1, "coq:opt.Loose-Hint-Behavior", "Loose Hint Behavior"], [54, 3, 1, "coq:cmd.Ltac", "Ltac"], [54, 4, 1, "coq:flag.Ltac-Backtrace", "Ltac Backtrace"], [54, 4, 1, "coq:flag.Ltac-Batch-Debug", "Ltac Batch Debug"], [54, 4, 1, "coq:flag.Ltac-Debug", "Ltac Debug"], [54, 4, 1, "coq:flag.Ltac-Profiling", "Ltac Profiling"], [55, 3, 1, "coq:cmd.Ltac2", "Ltac2"], [55, 4, 1, "coq:flag.Ltac2-Backtrace", "Ltac2 Backtrace"], [55, 3, 1, "coq:cmd.Ltac2-Check", "Ltac2 Check"], [55, 3, 1, "coq:cmd.Ltac2-Eval", "Ltac2 Eval"], [55, 3, 1, "coq:cmd.Ltac2-Globalize", "Ltac2 Globalize"], [55, 4, 1, "coq:flag.Ltac2-In-Ltac1-Profiling", "Ltac2 In Ltac1 Profiling"], [55, 3, 1, "coq:cmd.Ltac2-Notation", "Ltac2 Notation"], [55, 3, 1, "coq:cmd.Ltac2-Notation-(abbreviation)", "Ltac2 Notation (abbreviation)"], [55, 3, 1, "coq:cmd.Ltac2-Set", "Ltac2 Set"], [55, 3, 1, "coq:cmd.Ltac2-Type", "Ltac2 Type"], [55, 4, 1, "coq:flag.Ltac2-Typed-Notations", "Ltac2 Typed Notations"], [55, 3, 1, "coq:cmd.Ltac2-external", "Ltac2 external"], [44, 2, 1, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position", "Making shadowed name of implicit argument accessible by position"], [66, 4, 1, "coq:flag.Mangle-Names", "Mangle Names"], [66, 4, 1, "coq:flag.Mangle-Names-Light", "Mangle Names Light"], [66, 6, 1, "coq:opt.Mangle-Names-Prefix", "Mangle Names Prefix"], [44, 4, 1, "coq:flag.Maximal-Implicit-Insertion", "Maximal Implicit Insertion"], [71, 0, 1, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019", "Missing mapping for constructor \u2018qualid\u2019"], [35, 3, 1, "coq:cmd.Module", "Module"], [35, 3, 1, "coq:cmd.Module-Type", "Module Type"], [59, 0, 1, "coq:exn.Module/section-\u2018qualid\u2019-not-found", "Module/section \u2018qualid\u2019 not found"], [14, 7, 1, "coq:attr.Monomorphic", "Monomorphic"], [71, 0, 1, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier", "More than one interpretation bound to this notation, confirm with the &quot;all&quot; modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple &#x27;via&#x27; options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple &#x27;warning after&#x27; or &#x27;abstract after&#x27; options"], [64, 6, 1, "coq:opt.NativeCompute-Profile-Filename", "NativeCompute Profile Filename"], [64, 4, 1, "coq:flag.NativeCompute-Profiling", "NativeCompute Profiling"], [64, 4, 1, "coq:flag.NativeCompute-Timing", "NativeCompute Timing"], [66, 4, 1, "coq:flag.Nested-Proofs-Allowed", "Nested Proofs Allowed"], [66, 2, 1, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one", "New Collection definition of \u2018ident\u2019 shadows the previous one"], [9, 3, 1, "coq:cmd.Next-Obligation", "Next Obligation"], [5, 4, 1, "coq:flag.Nia-Cache", "Nia Cache"], [54, 0, 1, "coq:exn.No-applicable-tactic", "No applicable tactic"], [72, 0, 1, "coq:exn.No-argument-name-\u2018ident\u2019", "No argument name \u2018ident\u2019"], [54, 0, 1, "coq:exn.No-evars", "No evars"], [35, 0, 1, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019", "No field named \u2018ident\u2019 in \u2018qualid\u2019"], [66, 0, 1, "coq:exn.No-focused-proof", "No focused proof"], [66, 0, 1, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)", "No focused proof (No proof-editing in progress)"], [66, 0, 1, "coq:exn.No-focused-proof-to-restart", "No focused proof to restart"], [64, 0, 1, "coq:exn.No-head-constant-to-reduce", "No head constant to reduce"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match", "No matching clauses for match"], [54, 0, 1, "coq:exn.No-matching-clauses-for-match-goal", "No matching clauses for match goal"], [71, 0, 1, "coq:exn.No-notation-provided", "No notation provided"], [67, 0, 1, "coq:exn.No-primitive-equality-found", "No primitive equality found"], [58, 0, 1, "coq:exn.No-product-even-after-head-reduction", "No product even after head-reduction"], [3, 0, 1, "coq:exn.No-progress-made", "No progress made"], [58, 0, 1, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction", "No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"], [58, 0, 1, "coq:exn.No-such-assumption", "No such assumption"], [58, 0, 1, "coq:exn.No-such-binder", "No such binder"], [58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)", "No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"], [66, 0, 1, "coq:exn.No-such-goal", "No such goal"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018ident\u2019)", "No such goal (\u2018ident\u2019)"], [66, 0, 1, "coq:exn.No-such-goal-(\u2018natural\u2019)", "No such goal (\u2018natural\u2019)"], [58, 0, 1, "coq:exn.No-such-hypothesis:-\u2018ident\u2019", "No such hypothesis: \u2018ident\u2019"], [58, 0, 1, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction", "No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"], [46, 0, 1, "coq:exn.Non-exhaustive-pattern-matching", "Non exhaustive pattern matching"], [9, 0, 1, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition", "Non extensible universe declaration not supported with monomorphic Program Definition"], [34, 0, 1, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019", "Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"], [14, 7, 1, "coq:attr.NonCumulative", "NonCumulative"], [67, 4, 1, "coq:flag.Nonrecursive-Elimination-Schemes", "Nonrecursive Elimination Schemes"], [54, 0, 1, "coq:exn.Not-a-context-variable", "Not a context variable"], [67, 0, 1, "coq:exn.Not-a-discriminable-equality", "Not a discriminable equality"], [67, 0, 1, "coq:exn.Not-a-negated-primitive-equality", "Not a negated primitive equality"], [11, 0, 1, "coq:exn.Not-a-valid-ring-equation", "Not a valid ring equation"], [54, 0, 1, "coq:exn.Not-a-variable-or-hypothesis", "Not a variable or hypothesis"], [54, 0, 1, "coq:exn.Not-an-evar", "Not an evar"], [58, 0, 1, "coq:exn.Not-an-exact-proof", "Not an exact proof"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-1-constructor", "Not an inductive goal with 1 constructor"], [67, 0, 1, "coq:exn.Not-an-inductive-goal-with-2-constructors", "Not an inductive goal with 2 constructors"], [67, 0, 1, "coq:exn.Not-an-inductive-product", "Not an inductive product"], [64, 0, 1, "coq:exn.Not-convertible", "Not convertible"], [67, 0, 1, "coq:exn.Not-enough-constructors", "Not enough constructors"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"], [44, 0, 1, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019", "Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"], [54, 0, 1, "coq:exn.Not-equal", "Not equal"], [54, 0, 1, "coq:exn.Not-equal-(due-to-universes)", "Not equal (due to universes)"], [54, 0, 1, "coq:exn.Not-ground", "Not ground"], [72, 0, 1, "coq:exn.Not-the-right-number-of-induction-arguments", "Not the right number of induction arguments"], [58, 0, 1, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)", "Not the right number of missing arguments (expected \u2018natural\u2019)"], [71, 3, 1, "coq:cmd.Notation", "Notation"], [71, 3, 1, "coq:cmd.Notation-(abbreviation)", "Notation (abbreviation)"], [55, 0, 1, "coq:exn.Notation-levels-must-range-between-0-and-6", "Notation levels must range between 0 and 6"], [67, 0, 1, "coq:exn.Nothing-to-inject", "Nothing to inject"], [3, 0, 1, "coq:exn.Nothing-to-rewrite", "Nothing to rewrite"], [5, 4, 1, "coq:flag.Nra-Cache", "Nra Cache"], [71, 3, 1, "coq:cmd.Number-Notation", "Number Notation"], [9, 3, 1, "coq:cmd.Obligation", "Obligation"], [9, 3, 1, "coq:cmd.Obligation-Tactic", "Obligation Tactic"], [9, 3, 1, "coq:cmd.Obligations", "Obligations"], [64, 3, 1, "coq:cmd.Opaque", "Opaque"], [71, 3, 1, "coq:cmd.Open-Scope", "Open Scope"], [66, 3, 1, "coq:cmd.Optimize-Heap", "Optimize Heap"], [66, 3, 1, "coq:cmd.Optimize-Proof", "Optimize Proof"], [28, 3, 1, "coq:cmd.Parameter", "Parameter"], [28, 3, 1, "coq:cmd.Parameters", "Parameters"], [44, 4, 1, "coq:flag.Parsing-Explicit", "Parsing Explicit"], [14, 7, 1, "coq:attr.Polymorphic", "Polymorphic"], [14, 4, 1, "coq:flag.Polymorphic-Inductive-Cumulativity", "Polymorphic Inductive Cumulativity"], [14, 0, 1, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead", "Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"], [14, 0, 1, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead", "Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"], [59, 4, 1, "coq:flag.Positivity-Checking", "Positivity Checking"], [57, 3, 1, "coq:cmd.Prenex-Implicits", "Prenex Implicits"], [9, 3, 1, "coq:cmd.Preterm", "Preterm"], [59, 3, 1, "coq:cmd.Primitive", "Primitive"], [37, 4, 1, "coq:flag.Primitive-Projections", "Primitive Projections"], [59, 3, 1, "coq:cmd.Print", "Print"], [59, 3, 1, "coq:cmd.Print-All", "Print All"], [59, 3, 1, "coq:cmd.Print-All-Dependencies", "Print All Dependencies"], [59, 3, 1, "coq:cmd.Print-Assumptions", "Print Assumptions"], [42, 3, 1, "coq:cmd.Print-Canonical-Projections", "Print Canonical Projections"], [4, 3, 1, "coq:cmd.Print-Classes", "Print Classes"], [4, 3, 1, "coq:cmd.Print-Coercion-Paths", "Print Coercion Paths"], [4, 3, 1, "coq:cmd.Print-Coercions", "Print Coercions"], [71, 3, 1, "coq:cmd.Print-Custom-Grammar", "Print Custom Grammar"], [66, 3, 1, "coq:cmd.Print-Debug-GC", "Print Debug GC"], [64, 3, 1, "coq:cmd.Print-Equivalent-Keys", "Print Equivalent Keys"], [2, 3, 1, "coq:cmd.Print-Extraction-Blacklist", "Print Extraction Blacklist"], [2, 3, 1, "coq:cmd.Print-Extraction-Callback", "Print Extraction Callback"], [2, 3, 1, "coq:cmd.Print-Extraction-Foreign", "Print Extraction Foreign"], [2, 3, 1, "coq:cmd.Print-Extraction-Inline", "Print Extraction Inline"], [11, 3, 1, "coq:cmd.Print-Fields", "Print Fields"], [62, 3, 1, "coq:cmd.Print-Firstorder-Solver", "Print Firstorder Solver"], [71, 3, 1, "coq:cmd.Print-Grammar", "Print Grammar"], [4, 3, 1, "coq:cmd.Print-Graph", "Print Graph"], [60, 3, 1, "coq:cmd.Print-Hint", "Print Hint"], [60, 3, 1, "coq:cmd.Print-HintDb", "Print HintDb"], [44, 3, 1, "coq:cmd.Print-Implicit", "Print Implicit"], [13, 3, 1, "coq:cmd.Print-Instances", "Print Instances"], [71, 3, 1, "coq:cmd.Print-Keywords", "Print Keywords"], [59, 3, 1, "coq:cmd.Print-Libraries", "Print Libraries"], [59, 3, 1, "coq:cmd.Print-LoadPath", "Print LoadPath"], [54, 3, 1, "coq:cmd.Print-Ltac", "Print Ltac"], [54, 3, 1, "coq:cmd.Print-Ltac-Signatures", "Print Ltac Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2", "Print Ltac2"], [55, 3, 1, "coq:cmd.Print-Ltac2-Signatures", "Print Ltac2 Signatures"], [55, 3, 1, "coq:cmd.Print-Ltac2-Type", "Print Ltac2 Type"], [59, 3, 1, "coq:cmd.Print-ML-Modules", "Print ML Modules"], [59, 3, 1, "coq:cmd.Print-ML-Path", "Print ML Path"], [35, 3, 1, "coq:cmd.Print-Module", "Print Module"], [35, 3, 1, "coq:cmd.Print-Module-Type", "Print Module Type"], [35, 3, 1, "coq:cmd.Print-Namespace", "Print Namespace"], [71, 3, 1, "coq:cmd.Print-Notation", "Print Notation"], [59, 3, 1, "coq:cmd.Print-Opaque-Dependencies", "Print Opaque Dependencies"], [29, 3, 1, "coq:cmd.Print-Options", "Print Options"], [59, 3, 1, "coq:cmd.Print-Registered", "Print Registered"], [59, 3, 1, "coq:cmd.Print-Registered-Schemes", "Print Registered Schemes"], [60, 3, 1, "coq:cmd.Print-Rewrite-HintDb", "Print Rewrite HintDb"], [11, 3, 1, "coq:cmd.Print-Rings", "Print Rings"], [71, 3, 1, "coq:cmd.Print-Scope", "Print Scope"], [71, 3, 1, "coq:cmd.Print-Scopes", "Print Scopes"], [59, 3, 1, "coq:cmd.Print-Section", "Print Section"], [64, 3, 1, "coq:cmd.Print-Strategies", "Print Strategies"], [64, 3, 1, "coq:cmd.Print-Strategy", "Print Strategy"], [29, 3, 1, "coq:cmd.Print-Table", "Print Table"], [29, 3, 1, "coq:cmd.Print-Tables", "Print Tables"], [59, 3, 1, "coq:cmd.Print-Transparent-Dependencies", "Print Transparent Dependencies"], [13, 3, 1, "coq:cmd.Print-Typeclasses", "Print Typeclasses"], [59, 3, 1, "coq:cmd.Print-Typing-Flags", "Print Typing Flags"], [14, 3, 1, "coq:cmd.Print-Universes", "Print Universes"], [71, 3, 1, "coq:cmd.Print-Visibility", "Print Visibility"], [59, 4, 1, "coq:flag.Printing-All", "Printing All"], [46, 4, 1, "coq:flag.Printing-Allow-Match-Default-Clause", "Printing Allow Match Default Clause"], [4, 8, 1, "coq:table.Printing-Coercion", "Printing Coercion"], [4, 4, 1, "coq:flag.Printing-Coercions", "Printing Coercions"], [59, 4, 1, "coq:flag.Printing-Compact-Contexts", "Printing Compact Contexts"], [37, 8, 1, "coq:table.Printing-Constructor", "Printing Constructor"], [59, 4, 1, "coq:flag.Printing-Dependent-Evars-Line", "Printing Dependent Evars Line"], [59, 6, 1, "coq:opt.Printing-Depth", "Printing Depth"], [43, 4, 1, "coq:flag.Printing-Existential-Instances", "Printing Existential Instances"], [46, 4, 1, "coq:flag.Printing-Factorizable-Match-Patterns", "Printing Factorizable Match Patterns"], [66, 4, 1, "coq:flag.Printing-Goal-Names", "Printing Goal Names"], [66, 4, 1, "coq:flag.Printing-Goal-Tags", "Printing Goal Tags"], [46, 8, 1, "coq:table.Printing-If", "Printing If"], [44, 4, 1, "coq:flag.Printing-Implicit", "Printing Implicit"], [44, 4, 1, "coq:flag.Printing-Implicit-Defensive", "Printing Implicit Defensive"], [46, 8, 1, "coq:table.Printing-Let", "Printing Let"], [46, 4, 1, "coq:flag.Printing-Match-All-Subterms", "Printing Match All Subterms"], [46, 4, 1, "coq:flag.Printing-Matching", "Printing Matching"], [71, 4, 1, "coq:flag.Printing-Notations", "Printing Notations"], [71, 4, 1, "coq:flag.Printing-Parentheses", "Printing Parentheses"], [37, 4, 1, "coq:flag.Printing-Primitive-Projection-Parameters", "Printing Primitive Projection Parameters"], [37, 4, 1, "coq:flag.Printing-Projections", "Printing Projections"], [71, 4, 1, "coq:flag.Printing-Raw-Literals", "Printing Raw Literals"], [37, 8, 1, "coq:table.Printing-Record", "Printing Record"], [37, 4, 1, "coq:flag.Printing-Records", "Printing Records"], [12, 4, 1, "coq:flag.Printing-Relevance-Marks", "Printing Relevance Marks"], [46, 4, 1, "coq:flag.Printing-Synth", "Printing Synth"], [59, 4, 1, "coq:flag.Printing-Unfocused", "Printing Unfocused"], [37, 4, 1, "coq:flag.Printing-Unfolded-Projection-As-Match", "Printing Unfolded Projection As Match"], [14, 4, 1, "coq:flag.Printing-Universes", "Printing Universes"], [44, 4, 1, "coq:flag.Printing-Use-Implicit-Types", "Printing Use Implicit Types"], [59, 6, 1, "coq:opt.Printing-Width", "Printing Width"], [46, 4, 1, "coq:flag.Printing-Wildcard", "Printing Wildcard"], [40, 7, 1, "coq:attr.Private", "Private"], [14, 4, 1, "coq:flag.Private-Polymorphic-Universes", "Private Polymorphic Universes"], [59, 3, 1, "coq:cmd.Profile", "Profile"], [9, 7, 1, "coq:attr.Program", "Program"], [9, 4, 1, "coq:flag.Program-Cases", "Program Cases"], [9, 4, 1, "coq:flag.Program-Generalized-Coercion", "Program Generalized Coercion"], [9, 4, 1, "coq:flag.Program-Mode", "Program Mode"], [66, 3, 1, "coq:cmd.Proof", "Proof"], [66, 3, 1, "coq:cmd.Proof-Mode", "Proof Mode"], [66, 3, 1, "coq:cmd.Proof-`term`", "Proof `term`"], [66, 3, 1, "coq:cmd.Proof-using", "Proof using"], [60, 3, 1, "coq:cmd.Proof-with", "Proof with"], [32, 3, 1, "coq:cmd.Property", "Property"], [32, 3, 1, "coq:cmd.Proposition", "Proposition"], [5, 5, 1, "coq:thm.Psatz", "Psatz"], [2, 3, 1, "coq:cmd.Pwd", "Pwd"], [66, 3, 1, "coq:cmd.Qed", "Qed"], [59, 3, 1, "coq:cmd.Quit", "Quit"], [37, 3, 1, "coq:cmd.Record", "Record"], [37, 0, 1, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive", "Records declared with the keyword Record or Structure cannot be recursive"], [2, 3, 1, "coq:cmd.Recursive-Extraction", "Recursive Extraction"], [2, 3, 1, "coq:cmd.Recursive-Extraction-Library", "Recursive Extraction Library"], [59, 3, 1, "coq:cmd.Redirect", "Redirect"], [59, 3, 1, "coq:cmd.Register", "Register"], [59, 3, 1, "coq:cmd.Register-Inline", "Register Inline"], [59, 3, 1, "coq:cmd.Register-Scheme", "Register Scheme"], [64, 4, 1, "coq:flag.Regular-Subst-Tactic", "Regular Subst Tactic"], [32, 3, 1, "coq:cmd.Remark", "Remark"], [29, 3, 1, "coq:cmd.Remove", "Remove"], [60, 3, 1, "coq:cmd.Remove-Hints", "Remove Hints"], [59, 3, 1, "coq:cmd.Require", "Require"], [59, 3, 1, "coq:cmd.Require-Export", "Require Export"], [59, 3, 1, "coq:cmd.Require-Import", "Require Import"], [71, 3, 1, "coq:cmd.Reserved-Infix", "Reserved Infix"], [71, 3, 1, "coq:cmd.Reserved-Notation", "Reserved Notation"], [59, 3, 1, "coq:cmd.Reset", "Reset"], [2, 3, 1, "coq:cmd.Reset-Extraction-Blacklist", "Reset Extraction Blacklist"], [2, 3, 1, "coq:cmd.Reset-Extraction-Callback", "Reset Extraction Callback"], [2, 3, 1, "coq:cmd.Reset-Extraction-Inline", "Reset Extraction Inline"], [59, 3, 1, "coq:cmd.Reset-Initial", "Reset Initial"], [54, 3, 1, "coq:cmd.Reset-Ltac-Profile", "Reset Ltac Profile"], [66, 3, 1, "coq:cmd.Restart", "Restart"], [44, 4, 1, "coq:flag.Reversible-Pattern-Implicit", "Reversible Pattern Implicit"], [10, 3, 1, "coq:cmd.Rewrite-Rule", "Rewrite Rule"], [10, 3, 1, "coq:cmd.Rewrite-Rules", "Rewrite Rules"], [10, 0, 1, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\"", "Rewrite rule declaration requires passing the flag &quot;-allow-rewrite-rules&quot;"], [67, 4, 1, "coq:flag.Rewriting-Schemes", "Rewriting Schemes"], [11, 0, 1, "coq:exn.Ring-operation-should-be-declared-as-a-morphism", "Ring operation should be declared as a morphism"], [12, 0, 1, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off", "SProp is disallowed because the &quot;Allow StrictProp&quot; flag is off"], [66, 3, 1, "coq:cmd.Save", "Save"], [67, 3, 1, "coq:cmd.Scheme", "Scheme"], [67, 3, 1, "coq:cmd.Scheme-Boolean-Equality", "Scheme Boolean Equality"], [67, 3, 1, "coq:cmd.Scheme-Equality", "Scheme Equality"], [71, 0, 1, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore", "Scope delimiters should not start with an underscore"], [71, 0, 1, "coq:exn.Scope-names-should-not-start-with-an-underscore", "Scope names should not start with an underscore"], [59, 3, 1, "coq:cmd.Search", "Search"], [59, 8, 1, "coq:table.Search-Blacklist", "Search Blacklist"], [59, 4, 1, "coq:flag.Search-Output-Name-Only", "Search Output Name Only"], [59, 3, 1, "coq:cmd.SearchPattern", "SearchPattern"], [59, 3, 1, "coq:cmd.SearchRewrite", "SearchRewrite"], [38, 3, 1, "coq:cmd.Section", "Section"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"], [64, 0, 1, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion", "Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"], [2, 3, 1, "coq:cmd.Separate-Extraction", "Separate Extraction"], [29, 3, 1, "coq:cmd.Set", "Set"], [35, 4, 1, "coq:flag.Short-Module-Printing", "Short Module Printing"], [66, 3, 1, "coq:cmd.Show", "Show"], [66, 3, 1, "coq:cmd.Show-Conjectures", "Show Conjectures"], [66, 3, 1, "coq:cmd.Show-Existentials", "Show Existentials"], [2, 3, 1, "coq:cmd.Show-Extraction", "Show Extraction"], [66, 3, 1, "coq:cmd.Show-Goal", "Show Goal"], [66, 3, 1, "coq:cmd.Show-Intro", "Show Intro"], [66, 3, 1, "coq:cmd.Show-Intros", "Show Intros"], [5, 3, 1, "coq:cmd.Show-Lia-Profile", "Show Lia Profile"], [54, 3, 1, "coq:cmd.Show-Ltac-Profile", "Show Ltac Profile"], [66, 3, 1, "coq:cmd.Show-Match", "Show Match"], [9, 3, 1, "coq:cmd.Show-Obligation-Tactic", "Show Obligation Tactic"], [66, 3, 1, "coq:cmd.Show-Proof", "Show Proof"], [66, 3, 1, "coq:cmd.Show-Universes", "Show Universes"], [5, 3, 1, "coq:cmd.Show-Zify", "Show Zify"], [35, 0, 1, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match", "Signature components for field \u2018ident\u2019 do not match"], [59, 4, 1, "coq:flag.Silent", "Silent"], [9, 3, 1, "coq:cmd.Solve-All-Obligations", "Solve All Obligations"], [9, 3, 1, "coq:cmd.Solve-Obligations", "Solve Obligations"], [66, 4, 1, "coq:flag.Solve-Unification-Constraints", "Solve Unification Constraints"], [57, 4, 1, "coq:flag.SsrHave-NoTCResolution", "SsrHave NoTCResolution"], [57, 4, 1, "coq:flag.SsrIdents", "SsrIdents"], [57, 4, 1, "coq:flag.SsrOldRewriteGoalsOrder", "SsrOldRewriteGoalsOrder"], [57, 4, 1, "coq:flag.SsrRewrite", "SsrRewrite"], [71, 2, 1, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)", "Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"], [64, 3, 1, "coq:cmd.Strategy", "Strategy"], [44, 4, 1, "coq:flag.Strict-Implicit", "Strict Implicit"], [14, 4, 1, "coq:flag.Strict-Universe-Declaration", "Strict Universe Declaration"], [71, 3, 1, "coq:cmd.String-Notation", "String Notation"], [44, 4, 1, "coq:flag.Strongly-Strict-Implicit", "Strongly Strict Implicit"], [67, 4, 1, "coq:flag.Structural-Injection", "Structural Injection"], [37, 3, 1, "coq:cmd.Structure", "Structure"], [4, 3, 1, "coq:cmd.SubClass", "SubClass"], [59, 3, 1, "coq:cmd.Succeed", "Succeed"], [66, 4, 1, "coq:flag.Suggest-Proof-Using", "Suggest Proof Using"], [10, 3, 1, "coq:cmd.Symbol", "Symbol"], [10, 3, 1, "coq:cmd.Symbols", "Symbols"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])", "Syntax error: [prim:reference] expected after &#x27;Notation&#x27; (in [vernac:command])"], [71, 0, 1, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])", "Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"], [71, 3, 1, "coq:cmd.Tactic-Notation", "Tactic Notation"], [54, 0, 1, "coq:exn.Tactic-failure", "Tactic failure"], [54, 0, 1, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)", "Tactic failure (level \u2018natural\u2019)"], [54, 0, 1, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds", "Tactic failure: &lt;tactic closure&gt; succeeds"], [64, 0, 1, "coq:exn.Tactic-failure:-Setoid-library-not-loaded", "Tactic failure: Setoid library not loaded"], [64, 0, 1, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal", "Tactic generated a subgoal identical to the original goal"], [64, 0, 1, "coq:exn.Terms-do-not-have-convertible-types", "Terms do not have convertible types"], [29, 3, 1, "coq:cmd.Test", "Test"], [60, 0, 1, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic", "The &quot;at&quot; syntax isn&#x27;t available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The &amp; modifier may only occur once"], [71, 2, 1, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type", "The &#x27;abstract after&#x27; directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"], [41, 0, 1, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given", "The &#x27;clear implicits&#x27; flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The &#x27;default implicits&#x27; flag is incompatible with implicit annotations"], [41, 0, 1, "coq:exn.The-/-modifier-may-only-occur-once", "The / modifier may only occur once"], [59, 0, 1, "coq:exn.The-command-has-not-failed!", "The command has not failed!"], [34, 0, 1, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019", "The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"], [46, 0, 1, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments", "The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"], [14, 0, 1, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context", "The cumulative attribute can only be used in a polymorphic context"], [46, 0, 1, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)", "The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"], [35, 0, 1, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019", "The field \u2018ident\u2019 is missing in \u2018qualid\u2019"], [72, 0, 1, "coq:exn.The-recursive-argument-must-be-specified", "The recursive argument must be specified"], [55, 0, 1, "coq:exn.The-reference-X-was-not-found-in-the-current-environment", "The reference X was not found in the current environment"], [64, 0, 1, "coq:exn.The-reference-is-not-unfoldable", "The reference is not unfoldable"], [64, 0, 1, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment", "The reference \u2018qualid\u2019 was not found in the current environment"], [58, 0, 1, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type", "The term &quot;\u2018type\u2019&quot; has type &quot;\u2018type\u2019&quot; which should be Set, Prop or Type"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant", "The term \u2018qualid\u2019 is already defined as foreign custom constant"], [2, 0, 1, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant", "The term \u2018qualid\u2019 is already defined as inline custom constant"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type", "The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"], [32, 0, 1, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'", "The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019&#x27;"], [67, 0, 1, "coq:exn.The-type-has-no-constructors", "The type has no constructors"], [59, 0, 1, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked", "The type \u2018ident\u2019 must be registered before this construction can be typechecked"], [46, 0, 1, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term", "The variable ident is bound several times in pattern term"], [58, 0, 1, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared", "The variable \u2018ident\u2019 is already declared"], [40, 0, 1, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019", "The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"], [32, 3, 1, "coq:cmd.Theorem", "Theorem"], [54, 0, 1, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019", "There is already an Ltac named \u2018qualid\u2019"], [54, 0, 1, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019", "There is no Ltac named \u2018qualid\u2019"], [29, 2, 1, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag or option with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no flag, option or table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no qualid-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [29, 0, 1, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"", "There is no string-valued table with this name: &quot;\u2018setting_name\u2019&quot;"], [38, 0, 1, "coq:exn.There-is-nothing-to-end", "There is nothing to end"], [29, 2, 1, "coq:warn.This-command-does-not-support-this-attribute", "This command does not support this attribute"], [59, 0, 1, "coq:exn.This-object-does-not-support-universe-names", "This object does not support universe names"], [66, 0, 1, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way", "This proof is focused, but cannot be unfocused this way"], [54, 0, 1, "coq:exn.This-tactic-has-more-than-one-success", "This tactic has more than one success"], [59, 3, 1, "coq:cmd.Time", "Time"], [59, 3, 1, "coq:cmd.Timeout", "Timeout"], [71, 2, 1, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019", "To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"], [41, 0, 1, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified", "To rename arguments the &#x27;rename&#x27; flag must be specified"], [64, 3, 1, "coq:cmd.Transparent", "Transparent"], [9, 4, 1, "coq:flag.Transparent-Obligations", "Transparent Obligations"], [35, 2, 1, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!", "Trying to mask the absolute name \u2018qualid\u2019!"], [59, 3, 1, "coq:cmd.Type", "Type"], [67, 0, 1, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019", "Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"], [13, 4, 1, "coq:flag.Typeclass-Resolution-For-Conversion", "Typeclass Resolution For Conversion"], [13, 4, 1, "coq:flag.Typeclasses-Debug", "Typeclasses Debug"], [13, 6, 1, "coq:opt.Typeclasses-Debug-Verbosity", "Typeclasses Debug Verbosity"], [13, 6, 1, "coq:opt.Typeclasses-Default-Mode", "Typeclasses Default Mode"], [13, 4, 1, "coq:flag.Typeclasses-Dependency-Order", "Typeclasses Dependency Order"], [13, 6, 1, "coq:opt.Typeclasses-Depth", "Typeclasses Depth"], [13, 4, 1, "coq:flag.Typeclasses-Iterative-Deepening", "Typeclasses Iterative Deepening"], [13, 4, 1, "coq:flag.Typeclasses-Limit-Intros", "Typeclasses Limit Intros"], [13, 3, 1, "coq:cmd.Typeclasses-Opaque", "Typeclasses Opaque"], [13, 4, 1, "coq:flag.Typeclasses-Strict-Resolution", "Typeclasses Strict Resolution"], [13, 3, 1, "coq:cmd.Typeclasses-Transparent", "Typeclasses Transparent"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Instances", "Typeclasses Unique Instances"], [13, 4, 1, "coq:flag.Typeclasses-Unique-Solutions", "Typeclasses Unique Solutions"], [13, 3, 1, "coq:cmd.Typeclasses-eauto", "Typeclasses eauto"], [67, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"], [58, 0, 1, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019", "Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"], [46, 0, 1, "coq:exn.Unable-to-infer-a-match-predicate", "Unable to infer a match predicate"], [3, 0, 1, "coq:exn.Unable-to-satisfy-the-rewriting-constraints", "Unable to satisfy the rewriting constraints"], [58, 0, 1, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019", "Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"], [55, 0, 1, "coq:exn.Unbound-[value|constructor]-X", "Unbound [value|constructor] X"], [54, 0, 1, "coq:exn.Unbound-context-identifier-\u2018ident\u2019", "Unbound context identifier \u2018ident\u2019"], [14, 0, 1, "coq:exn.Undeclared-universe-\u2018ident\u2019", "Undeclared universe \u2018ident\u2019"], [71, 3, 1, "coq:cmd.Undelimit-Scope", "Undelimit Scope"], [66, 3, 1, "coq:cmd.Undo", "Undo"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected non-option term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected non-option term \u2018term\u2019 while parsing a string notation"], [71, 0, 1, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation", "Unexpected only parsing for an only printing notation"], [71, 0, 1, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation", "Unexpected only printing for an only parsing notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation", "Unexpected term \u2018term\u2019 while parsing a number notation"], [71, 0, 1, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation", "Unexpected term \u2018term\u2019 while parsing a string notation"], [66, 3, 1, "coq:cmd.Unfocus", "Unfocus"], [66, 3, 1, "coq:cmd.Unfocused", "Unfocused"], [34, 4, 1, "coq:flag.Uniform-Inductive-Parameters", "Uniform Inductive Parameters"], [14, 3, 1, "coq:cmd.Universe", "Universe"], [59, 4, 1, "coq:flag.Universe-Checking", "Universe Checking"], [14, 4, 1, "coq:flag.Universe-Minimization-ToSet", "Universe Minimization ToSet"], [14, 4, 1, "coq:flag.Universe-Polymorphism", "Universe Polymorphism"], [14, 0, 1, "coq:exn.Universe-inconsistency", "Universe inconsistency"], [59, 0, 1, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019", "Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"], [14, 3, 1, "coq:cmd.Universes", "Universes"], [71, 0, 1, "coq:exn.Unknown-custom-entry", "Unknown custom entry"], [71, 0, 1, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019", "Unknown custom entry: \u2018ident\u2019"], [66, 0, 1, "coq:exn.Unknown-inductive-type", "Unknown inductive type"], [29, 3, 1, "coq:cmd.Unset", "Unset"], [66, 3, 1, "coq:cmd.Unshelve", "Unshelve"], [71, 0, 1, "coq:exn.Unterminated-string-in-notation", "Unterminated string in notation"], [28, 2, 1, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\"", "Use of &quot;Variable&quot; or &quot;Hypothesis&quot; outside sections behaves as &quot;#[local] Parameter&quot; or &quot;#[local] Axiom&quot;"], [71, 2, 1, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax", "Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"], [13, 2, 1, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d", "Using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d"], [66, 3, 1, "coq:cmd.Validate-Proof", "Validate Proof"], [28, 3, 1, "coq:cmd.Variable", "Variable"], [66, 2, 1, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables", "Variable All is shadowed by Collection named All containing all variables"], [28, 3, 1, "coq:cmd.Variables", "Variables"], [40, 3, 1, "coq:cmd.Variant", "Variant"], [59, 6, 1, "coq:opt.Warnings", "Warnings"], [44, 0, 1, "coq:exn.Wrong-argument-name", "Wrong argument name"], [44, 0, 1, "coq:exn.Wrong-argument-position", "Wrong argument position"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here", "Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"], [66, 0, 1, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished", "Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"], [54, 1, 1, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[ \u2026 | \u2026 | \u2026 ] (dispatch)"], [54, 1, 1, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)", "[&gt; \u2026 | \u2026 | \u2026 ] (dispatch)"], [55, 7, 1, "coq:attr.abstract", "abstract"], [66, 1, 1, "coq:tacn.abstract", "abstract"], [57, 1, 1, "coq:tacn.abstract-(ssreflect)", "abstract (ssreflect)"], [58, 1, 1, "coq:tacn.absurd", "absurd"], [71, 7, 1, "coq:attr.add_bottom", "add_bottom"], [71, 7, 1, "coq:attr.add_top", "add_top"], [66, 1, 1, "coq:tacn.admit", "admit"], [58, 1, 1, "coq:tacn.apply", "apply"], [57, 1, 1, "coq:tacn.apply-(ssreflect)", "apply (ssreflect)"], [58, 1, 1, "coq:tacn.assert", "assert"], [54, 1, 1, "coq:tacn.assert_fails", "assert_fails"], [54, 1, 1, "coq:tacn.assert_succeeds", "assert_succeeds"], [58, 1, 1, "coq:tacn.assumption", "assumption"], [60, 1, 1, "coq:tacn.auto", "auto"], [13, 1, 1, "coq:tacn.autoapply", "autoapply"], [60, 1, 1, "coq:tacn.autorewrite", "autorewrite"], [60, 1, 1, "coq:tacn.autounfold", "autounfold"], [60, 1, 1, "coq:tacn.autounfold_one", "autounfold_one"], [62, 1, 1, "coq:tacn.btauto", "btauto"], [66, 1, 1, "coq:tacn.bullet-(--+-*)", "bullet (- + *)"], [57, 1, 1, "coq:tacn.by", "by"], [59, 7, 1, "coq:attr.bypass_check(guard)", "bypass_check(guard)"], [59, 7, 1, "coq:attr.bypass_check(positivity)", "bypass_check(positivity)"], [59, 7, 1, "coq:attr.bypass_check(universes)", "bypass_check(universes)"], [42, 7, 1, "coq:attr.canonical", "canonical"], [67, 1, 1, "coq:tacn.case", "case"], [57, 1, 1, "coq:tacn.case-(ssreflect)", "case (ssreflect)"], [67, 1, 1, "coq:tacn.case_eq", "case_eq"], [64, 1, 1, "coq:tacn.cbn", "cbn"], [64, 1, 1, "coq:tacn.cbv", "cbv"], [64, 1, 1, "coq:tacn.change", "change"], [64, 1, 1, "coq:tacn.change_no_check", "change_no_check"], [58, 1, 1, "coq:tacn.classical_left", "classical_left"], [58, 1, 1, "coq:tacn.classical_right", "classical_right"], [58, 1, 1, "coq:tacn.clear", "clear"], [58, 1, 1, "coq:tacn.clear-dependent", "clear dependent"], [38, 7, 1, "coq:attr.clearbody", "clearbody"], [58, 1, 1, "coq:tacn.clearbody", "clearbody"], [71, 2, 1, "coq:warn.closed-notation-not-level-0", "closed-notation-not-level-0"], [67, 1, 1, "coq:tacn.cofix", "cofix"], [67, 1, 1, "coq:tacn.compare", "compare"], [64, 1, 1, "coq:tacn.compute", "compute"], [57, 1, 1, "coq:tacn.congr", "congr"], [62, 1, 1, "coq:tacn.congruence", "congruence"], [54, 1, 1, "coq:tacn.constr_eq", "constr_eq"], [54, 1, 1, "coq:tacn.constr_eq_nounivs", "constr_eq_nounivs"], [54, 1, 1, "coq:tacn.constr_eq_strict", "constr_eq_strict"], [67, 1, 1, "coq:tacn.constructor", "constructor"], [54, 1, 1, "coq:tacn.context", "context"], [58, 1, 1, "coq:tacn.contradict", "contradict"], [58, 1, 1, "coq:tacn.contradiction", "contradiction"], [54, 1, 1, "coq:tacn.convert", "convert"], [58, 1, 1, "coq:tacn.cut", "cut"], [66, 1, 1, "coq:tacn.cycle", "cycle"], [60, 1, 1, "coq:tacn.debug-auto", "debug auto"], [60, 1, 1, "coq:tacn.debug-eauto", "debug eauto"], [60, 1, 1, "coq:tacn.debug-trivial", "debug trivial"], [67, 1, 1, "coq:tacn.decide", "decide"], [67, 1, 1, "coq:tacn.decide-equality", "decide equality"], [67, 1, 1, "coq:tacn.decompose", "decompose"], [67, 1, 1, "coq:tacn.decompose-record", "decompose record"], [67, 1, 1, "coq:tacn.decompose-sum", "decompose sum"], [67, 1, 1, "coq:tacn.dependent-destruction", "dependent destruction"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs", "dependent generalize_eqs"], [58, 1, 1, "coq:tacn.dependent-generalize_eqs_vars", "dependent generalize_eqs_vars"], [67, 1, 1, "coq:tacn.dependent-induction", "dependent induction"], [67, 1, 1, "coq:tacn.dependent-inversion", "dependent inversion"], [67, 1, 1, "coq:tacn.dependent-inversion_clear", "dependent inversion_clear"], [67, 1, 1, "coq:tacn.dependent-rewrite", "dependent rewrite"], [67, 1, 1, "coq:tacn.dependent-simple-inversion", "dependent simple inversion"], [74, 7, 1, "coq:attr.deprecated", "deprecated"], [67, 1, 1, "coq:tacn.destauto", "destauto"], [67, 1, 1, "coq:tacn.destruct", "destruct"], [62, 1, 1, "coq:tacn.dintuition", "dintuition"], [67, 1, 1, "coq:tacn.discriminate", "discriminate"], [54, 1, 1, "coq:tacn.do", "do"], [57, 1, 1, "coq:tacn.do-(ssreflect)", "do (ssreflect)"], [57, 1, 1, "coq:tacn.done", "done"], [62, 1, 1, "coq:tacn.dtauto", "dtauto"], [58, 1, 1, "coq:tacn.eapply", "eapply"], [58, 1, 1, "coq:tacn.eassert", "eassert"], [58, 1, 1, "coq:tacn.eassumption", "eassumption"], [60, 1, 1, "coq:tacn.easy", "easy"], [60, 1, 1, "coq:tacn.eauto", "eauto"], [67, 1, 1, "coq:tacn.ecase", "ecase"], [67, 1, 1, "coq:tacn.econstructor", "econstructor"], [67, 1, 1, "coq:tacn.edestruct", "edestruct"], [67, 1, 1, "coq:tacn.ediscriminate", "ediscriminate"], [67, 1, 1, "coq:tacn.eelim", "eelim"], [58, 1, 1, "coq:tacn.eenough", "eenough"], [58, 1, 1, "coq:tacn.eexact", "eexact"], [67, 1, 1, "coq:tacn.eexists", "eexists"], [67, 1, 1, "coq:tacn.einduction", "einduction"], [67, 1, 1, "coq:tacn.einjection", "einjection"], [58, 1, 1, "coq:tacn.eintros", "eintros"], [67, 1, 1, "coq:tacn.eleft", "eleft"], [67, 1, 1, "coq:tacn.elim", "elim"], [57, 1, 1, "coq:tacn.elim-(ssreflect)", "elim (ssreflect)"], [58, 1, 1, "coq:tacn.enough", "enough"], [58, 1, 1, "coq:tacn.epose", "epose"], [58, 1, 1, "coq:tacn.epose-proof", "epose proof"], [58, 1, 1, "coq:tacn.eremember", "eremember"], [64, 1, 1, "coq:tacn.erewrite", "erewrite"], [67, 1, 1, "coq:tacn.eright", "eright"], [58, 1, 1, "coq:tacn.eset", "eset"], [67, 1, 1, "coq:tacn.esimplify_eq", "esimplify_eq"], [67, 1, 1, "coq:tacn.esplit", "esplit"], [64, 1, 1, "coq:tacn.etransitivity", "etransitivity"], [64, 1, 1, "coq:tacn.eval", "eval"], [58, 1, 1, "coq:tacn.evar", "evar"], [58, 1, 1, "coq:tacn.exact", "exact"], [57, 1, 1, "coq:tacn.exact-(ssreflect)", "exact (ssreflect)"], [58, 1, 1, "coq:tacn.exact_no_check", "exact_no_check"], [54, 1, 1, "coq:tacn.exactly_once", "exactly_once"], [58, 1, 1, "coq:tacn.exfalso", "exfalso"], [67, 1, 1, "coq:tacn.exists", "exists"], [35, 7, 1, "coq:attr.export", "export"], [64, 1, 1, "coq:tacn.f_equal", "f_equal"], [54, 1, 1, "coq:tacn.fail", "fail"], [11, 1, 1, "coq:tacn.field", "field"], [11, 1, 1, "coq:tacn.field_lookup", "field_lookup"], [11, 1, 1, "coq:tacn.field_simplify", "field_simplify"], [11, 1, 1, "coq:tacn.field_simplify_eq", "field_simplify_eq"], [54, 1, 1, "coq:tacn.finish_timing", "finish_timing"], [54, 1, 1, "coq:tacn.first", "first"], [57, 1, 1, "coq:tacn.first-(ssreflect)", "first (ssreflect)"], [57, 9, 1, "coq:tacv.first-last", "first last"], [62, 1, 1, "coq:tacn.firstorder", "firstorder"], [67, 1, 1, "coq:tacn.fix", "fix"], [64, 1, 1, "coq:tacn.fold", "fold"], [54, 1, 1, "coq:tacn.fresh", "fresh"], [54, 1, 1, "coq:tacn.fun", "fun"], [72, 1, 1, "coq:tacn.functional-induction", "functional induction"], [72, 1, 1, "coq:tacn.functional-inversion", "functional inversion"], [58, 1, 1, "coq:tacn.generalize", "generalize"], [58, 1, 1, "coq:tacn.generalize-dependent", "generalize dependent"], [58, 1, 1, "coq:tacn.generalize_eqs", "generalize_eqs"], [58, 1, 1, "coq:tacn.generalize_eqs_vars", "generalize_eqs_vars"], [57, 1, 1, "coq:tacn.generally-have", "generally have"], [54, 1, 1, "coq:tacn.gfail", "gfail"], [66, 1, 1, "coq:tacn.give_up", "give_up"], [35, 7, 1, "coq:attr.global", "global"], [54, 1, 1, "coq:tacn.guard", "guard"], [54, 1, 1, "coq:tacn.has_evar", "has_evar"], [57, 1, 1, "coq:tacn.have", "have"], [3, 1, 1, "coq:tacn.head_of_constr", "head_of_constr"], [64, 1, 1, "coq:tacn.hnf", "hnf"], [54, 1, 1, "coq:tacn.idtac", "idtac"], [55, 1, 1, "coq:tacn.if-then-else-(Ltac2)", "if-then-else (Ltac2)"], [57, 1, 1, "coq:tacn.in", "in"], [67, 1, 1, "coq:tacn.induction", "induction"], [54, 3, 1, "coq:cmd.infoH", "infoH"], [60, 1, 1, "coq:tacn.info_auto", "info_auto"], [60, 1, 1, "coq:tacn.info_eauto", "info_eauto"], [60, 1, 1, "coq:tacn.info_trivial", "info_trivial"], [67, 1, 1, "coq:tacn.injection", "injection"], [58, 1, 1, "coq:tacn.instantiate", "instantiate"], [58, 1, 1, "coq:tacn.intro", "intro"], [58, 1, 1, "coq:tacn.intros", "intros"], [58, 1, 1, "coq:tacn.intros-until", "intros until"], [62, 1, 1, "coq:tacn.intuition", "intuition"], [67, 1, 1, "coq:tacn.inversion", "inversion"], [67, 1, 1, "coq:tacn.inversion_clear", "inversion_clear"], [67, 1, 1, "coq:tacn.inversion_sigma", "inversion_sigma"], [54, 1, 1, "coq:tacn.is_cofix", "is_cofix"], [54, 1, 1, "coq:tacn.is_const", "is_const"], [54, 1, 1, "coq:tacn.is_constructor", "is_constructor"], [54, 1, 1, "coq:tacn.is_evar", "is_evar"], [54, 1, 1, "coq:tacn.is_fix", "is_fix"], [54, 1, 1, "coq:tacn.is_ground", "is_ground"], [54, 1, 1, "coq:tacn.is_ind", "is_ind"], [54, 1, 1, "coq:tacn.is_proj", "is_proj"], [54, 1, 1, "coq:tacn.is_var", "is_var"], [58, 1, 1, "coq:tacn.lapply", "lapply"], [58, 0, 1, "coq:exn.lapply-needs-a-non-dependent-product", "lapply needs a non-dependent product"], [57, 1, 1, "coq:tacn.last", "last"], [57, 9, 1, "coq:tacv.last-first", "last first"], [64, 1, 1, "coq:tacn.lazy", "lazy"], [55, 1, 1, "coq:tacn.lazy_match!", "lazy_match!"], [55, 1, 1, "coq:tacn.lazy_match!-goal", "lazy_match! goal"], [54, 1, 1, "coq:tacn.lazymatch", "lazymatch"], [54, 1, 1, "coq:tacn.lazymatch-goal", "lazymatch goal"], [67, 1, 1, "coq:tacn.left", "left"], [54, 1, 1, "coq:tacn.let", "let"], [5, 1, 1, "coq:tacn.lia", "lia"], [35, 7, 1, "coq:attr.local", "local"], [5, 1, 1, "coq:tacn.lra", "lra"], [54, 1, 1, "coq:tacn.ltac-seq", "ltac-seq"], [54, 1, 1, "coq:tacn.match", "match"], [55, 1, 1, "coq:tacn.match-(Ltac2)", "match (Ltac2)"], [54, 1, 1, "coq:tacn.match-goal", "match goal"], [55, 1, 1, "coq:tacn.match!", "match!"], [55, 1, 1, "coq:tacn.match!-goal", "match! goal"], [60, 2, 1, "coq:warn.mismatched-hint-db", "mismatched-hint-db"], [13, 7, 1, "coq:attr.mode", "mode"], [58, 1, 1, "coq:tacn.move", "move"], [57, 1, 1, "coq:tacn.move-(ssreflect)", "move (ssreflect)"], [55, 1, 1, "coq:tacn.multi_match!", "multi_match!"], [55, 1, 1, "coq:tacn.multi_match!-goal", "multi_match! goal"], [54, 1, 1, "coq:tacn.multimatch", "multimatch"], [54, 1, 1, "coq:tacn.multimatch-goal", "multimatch goal"], [58, 1, 1, "coq:tacn.native_cast_no_check", "native_cast_no_check"], [64, 1, 1, "coq:tacn.native_compute", "native_compute"], [5, 1, 1, "coq:tacn.nia", "nia"], [4, 7, 1, "coq:attr.nonuniform", "nonuniform"], [54, 0, 1, "coq:exn.not-a-cofix-definition", "not a cofix definition"], [54, 0, 1, "coq:exn.not-a-constant", "not a constant"], [54, 0, 1, "coq:exn.not-a-constructor", "not a constructor"], [54, 0, 1, "coq:exn.not-a-fix-definition", "not a fix definition"], [54, 0, 1, "coq:exn.not-a-primitive-projection", "not a primitive projection"], [54, 0, 1, "coq:exn.not-an-(co)inductive-datatype", "not an (co)inductive datatype"], [54, 1, 1, "coq:tacn.not_evar", "not_evar"], [71, 2, 1, "coq:warn.notation-incompatible-prefix", "notation-incompatible-prefix"], [60, 1, 1, "coq:tacn.now", "now"], [64, 1, 1, "coq:tacn.now_show", "now_show"], [5, 1, 1, "coq:tacn.nra", "nra"], [7, 1, 1, "coq:tacn.nsatz", "nsatz"], [7, 1, 1, "coq:tacn.nsatz_compute", "nsatz_compute"], [54, 1, 1, "coq:tacn.numgoals", "numgoals"], [54, 1, 1, "coq:tacn.once", "once"], [54, 1, 1, "coq:tacn.only", "only"], [54, 1, 1, "coq:tacn.optimize_heap", "optimize_heap"], [57, 1, 1, "coq:tacn.over", "over"], [71, 0, 1, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019", "overflow in int63 literal \u2018bigint\u2019"], [64, 1, 1, "coq:tacn.pattern", "pattern"], [58, 1, 1, "coq:tacn.pose", "pose"], [57, 1, 1, "coq:tacn.pose-(ssreflect)", "pose (ssreflect)"], [58, 1, 1, "coq:tacn.pose-proof", "pose proof"], [71, 2, 1, "coq:warn.postfix-notation-not-level-1", "postfix-notation-not-level-1"], [40, 7, 1, "coq:attr.private(matching)", "private(matching)"], [9, 7, 1, "coq:attr.program", "program"], [54, 1, 1, "coq:tacn.progress", "progress"], [37, 7, 1, "coq:attr.projections(primitive)", "projections(primitive)"], [11, 1, 1, "coq:tacn.protect_fv", "protect_fv"], [5, 1, 1, "coq:tacn.psatz", "psatz"], [59, 0, 1, "coq:exn.public-name-according-to-findlib,-for-example", "public name according to findlib, for example"], [58, 1, 1, "coq:tacn.rapply", "rapply"], [64, 1, 1, "coq:tacn.red", "red"], [13, 7, 1, "coq:attr.refine", "refine"], [58, 1, 1, "coq:tacn.refine", "refine"], [64, 1, 1, "coq:tacn.reflexivity", "reflexivity"], [58, 1, 1, "coq:tacn.remember", "remember"], [58, 1, 1, "coq:tacn.rename", "rename"], [54, 1, 1, "coq:tacn.repeat", "repeat"], [64, 1, 1, "coq:tacn.replace", "replace"], [54, 1, 1, "coq:tacn.reset-ltac-profile", "reset ltac profile"], [54, 1, 1, "coq:tacn.restart_timer", "restart_timer"], [4, 7, 1, "coq:attr.reversible", "reversible"], [58, 1, 1, "coq:tacn.revert", "revert"], [58, 1, 1, "coq:tacn.revert-dependent", "revert dependent"], [66, 1, 1, "coq:tacn.revgoals", "revgoals"], [64, 1, 1, "coq:tacn.rewrite", "rewrite"], [57, 1, 1, "coq:tacn.rewrite-(ssreflect)", "rewrite (ssreflect)"], [64, 1, 1, "coq:tacn.rewrite-*", "rewrite *"], [3, 1, 1, "coq:tacn.rewrite_db", "rewrite_db"], [3, 1, 1, "coq:tacn.rewrite_strat", "rewrite_strat"], [67, 1, 1, "coq:tacn.right", "right"], [11, 1, 1, "coq:tacn.ring", "ring"], [11, 1, 1, "coq:tacn.ring_lookup", "ring_lookup"], [11, 1, 1, "coq:tacn.ring_simplify", "ring_simplify"], [62, 1, 1, "coq:tacn.rtauto", "rtauto"], [58, 1, 1, "coq:tacn.set", "set"], [57, 1, 1, "coq:tacn.set-(ssreflect)", "set (ssreflect)"], [3, 1, 1, "coq:tacn.setoid_etransitivity", "setoid_etransitivity"], [3, 1, 1, "coq:tacn.setoid_reflexivity", "setoid_reflexivity"], [3, 1, 1, "coq:tacn.setoid_replace", "setoid_replace"], [3, 1, 1, "coq:tacn.setoid_rewrite", "setoid_rewrite"], [3, 1, 1, "coq:tacn.setoid_symmetry", "setoid_symmetry"], [3, 1, 1, "coq:tacn.setoid_transitivity", "setoid_transitivity"], [59, 0, 1, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid", "shared library failed: Coq Error: \u2018string\u2019 is not a valid"], [66, 1, 1, "coq:tacn.shelve", "shelve"], [66, 1, 1, "coq:tacn.shelve_unifiable", "shelve_unifiable"], [54, 1, 1, "coq:tacn.show-ltac-profile", "show ltac profile"], [64, 1, 1, "coq:tacn.simpl", "simpl"], [58, 1, 1, "coq:tacn.simple-apply", "simple apply"], [62, 1, 1, "coq:tacn.simple-congruence", "simple congruence"], [67, 1, 1, "coq:tacn.simple-destruct", "simple destruct"], [58, 1, 1, "coq:tacn.simple-eapply", "simple eapply"], [67, 1, 1, "coq:tacn.simple-induction", "simple induction"], [67, 1, 1, "coq:tacn.simple-injection", "simple injection"], [67, 1, 1, "coq:tacn.simple-inversion", "simple inversion"], [64, 1, 1, "coq:tacn.simple-subst", "simple subst"], [67, 1, 1, "coq:tacn.simplify_eq", "simplify_eq"], [72, 1, 1, "coq:tacn.soft-functional-induction", "soft functional induction"], [54, 1, 1, "coq:tacn.solve", "solve"], [66, 1, 1, "coq:tacn.solve_constraints", "solve_constraints"], [58, 1, 1, "coq:tacn.specialize", "specialize"], [58, 1, 1, "coq:tacn.specialize_eqs", "specialize_eqs"], [67, 1, 1, "coq:tacn.split", "split"], [54, 1, 1, "coq:tacn.start-ltac-profiling", "start ltac profiling"], [64, 1, 1, "coq:tacn.stepl", "stepl"], [64, 1, 1, "coq:tacn.stepr", "stepr"], [54, 1, 1, "coq:tacn.stop-ltac-profiling", "stop ltac profiling"], [64, 1, 1, "coq:tacn.subst", "subst"], [64, 1, 1, "coq:tacn.substitute", "substitute"], [57, 1, 1, "coq:tacn.suff", "suff"], [57, 1, 1, "coq:tacn.suffices", "suffices"], [66, 1, 1, "coq:tacn.swap", "swap"], [64, 1, 1, "coq:tacn.symmetry", "symmetry"], [62, 1, 1, "coq:tacn.tauto", "tauto"], [34, 0, 1, "coq:exn.template-and-polymorphism-not-compatible", "template and polymorphism not compatible"], [54, 1, 1, "coq:tacn.time", "time"], [54, 1, 1, "coq:tacn.time_constr", "time_constr"], [54, 1, 1, "coq:tacn.timeout", "timeout"], [64, 1, 1, "coq:tacn.transitivity", "transitivity"], [66, 1, 1, "coq:tacn.transparent_abstract", "transparent_abstract"], [60, 1, 1, "coq:tacn.trivial", "trivial"], [54, 1, 1, "coq:tacn.try", "try"], [54, 1, 1, "coq:tacn.tryif", "tryif"], [54, 1, 1, "coq:tacn.type-of", "type of"], [54, 1, 1, "coq:tacn.type_term", "type_term"], [13, 1, 1, "coq:tacn.typeclasses-eauto", "typeclasses eauto"], [57, 1, 1, "coq:tacn.under", "under"], [64, 1, 1, "coq:tacn.unfold", "unfold"], [54, 1, 1, "coq:tacn.unify", "unify"], [14, 7, 1, "coq:attr.universes(cumulative)", "universes(cumulative)"], [14, 7, 1, "coq:attr.universes(polymorphic)", "universes(polymorphic)"], [34, 7, 1, "coq:attr.universes(template)", "universes(template)"], [57, 1, 1, "coq:tacn.unlock", "unlock"], [66, 1, 1, "coq:tacn.unshelve", "unshelve"], [66, 7, 1, "coq:attr.using", "using"], [58, 1, 1, "coq:tacn.vm_cast_no_check", "vm_cast_no_check"], [64, 1, 1, "coq:tacn.vm_compute", "vm_compute"], [74, 7, 1, "coq:attr.warn", "warn"], [29, 7, 1, "coq:attr.warning", "warning"], [29, 7, 1, "coq:attr.warnings", "warnings"], [64, 1, 1, "coq:tacn.with_strategy", "with_strategy"], [57, 1, 1, "coq:tacn.without-loss", "without loss"], [5, 1, 1, "coq:tacn.wlia", "wlia"], [57, 1, 1, "coq:tacn.wlog", "wlog"], [5, 1, 1, "coq:tacn.wlra_Q", "wlra_Q"], [5, 1, 1, "coq:tacn.wnia", "wnia"], [5, 1, 1, "coq:tacn.wnra_Q", "wnra_Q"], [5, 1, 1, "coq:tacn.wpsatz_Q", "wpsatz_Q"], [5, 1, 1, "coq:tacn.wpsatz_Z", "wpsatz_Z"], [5, 1, 1, "coq:tacn.wsos_Q", "wsos_Q"], [5, 1, 1, "coq:tacn.wsos_Z", "wsos_Z"], [5, 1, 1, "coq:tacn.xlia", "xlia"], [5, 1, 1, "coq:tacn.xlra_Q", "xlra_Q"], [5, 1, 1, "coq:tacn.xlra_R", "xlra_R"], [5, 1, 1, "coq:tacn.xnia", "xnia"], [5, 1, 1, "coq:tacn.xnra_Q", "xnra_Q"], [5, 1, 1, "coq:tacn.xnra_R", "xnra_R"], [5, 1, 1, "coq:tacn.xpsatz_Q", "xpsatz_Q"], [5, 1, 1, "coq:tacn.xpsatz_R", "xpsatz_R"], [5, 1, 1, "coq:tacn.xpsatz_Z", "xpsatz_Z"], [5, 1, 1, "coq:tacn.xsos_Q", "xsos_Q"], [5, 1, 1, "coq:tacn.xsos_R", "xsos_R"], [5, 1, 1, "coq:tacn.xsos_Z", "xsos_Z"], [5, 1, 1, "coq:tacn.zify", "zify"], [5, 1, 1, "coq:tacn.zify_elim_let", "zify_elim_let"], [5, 1, 1, "coq:tacn.zify_iter_let", "zify_iter_let"], [5, 1, 1, "coq:tacn.zify_iter_specs", "zify_iter_specs"], [5, 1, 1, "coq:tacn.zify_op", "zify_op"], [5, 1, 1, "coq:tacn.zify_saturate", "zify_saturate"], [66, 1, 1, "coq:tacn.{", "{"], [54, 1, 1, "coq:tacn.||-(first-tactic-making-progress)", "|| (first tactic making progress)"], [66, 1, 1, "coq:tacn.}", "}"], [4, 0, 1, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant", "\u2018coercion_class\u2019 must be a transparent constant"], [37, 0, 1, "coq:exn.\u2018ident\u2019-already-exists", "\u2018ident\u2019 already exists"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined", "\u2018ident\u2019 cannot be defined"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not", "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"], [37, 2, 1, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined", "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"], [13, 2, 1, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass", "\u2018ident\u2019 is already declared as a typeclass"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-already-used", "\u2018ident\u2019 is already used"], [66, 2, 1, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable", "\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-not-a-local-definition", "\u2018ident\u2019 is not a local definition"], [67, 0, 1, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types", "\u2018ident\u2019 is not an equality of \u03a3 types"], [64, 0, 1, "coq:exn.\u2018ident\u2019-is-opaque", "\u2018ident\u2019 is opaque"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion", "\u2018ident\u2019 is used in the conclusion"], [58, 0, 1, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019", "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"], [66, 2, 1, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command", "\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing &quot;Proof using&quot; command"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint", "\u2018qualid\u2019 cannot be used as a hint"], [64, 0, 1, "coq:exn.\u2018qualid\u2019-does-not-occur", "\u2018qualid\u2019 does not occur"], [4, 2, 1, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition", "\u2018qualid\u2019 does not respect the uniform inheritance condition"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-already-a-coercion", "\u2018qualid\u2019 is already a coercion"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference", "\u2018qualid\u2019 is bound to a notation that does not denote a reference"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-function", "\u2018qualid\u2019 is not a function"], [35, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-a-module", "\u2018qualid\u2019 is not a module"], [60, 0, 1, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type", "\u2018qualid\u2019 is not an inductive type"], [59, 0, 1, "coq:exn.\u2018qualid\u2019-not-a-defined-object", "\u2018qualid\u2019 not a defined object"], [4, 0, 1, "coq:exn.\u2018qualid\u2019-not-declared", "\u2018qualid\u2019 not declared"], [71, 0, 1, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019", "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"], [74, 2, 1, "coq:warn.\u2018string\u2019", "\u2018string\u2019"], [71, 0, 1, "coq:exn.\u2018type\u2019-is-not-an-inductive-type", "\u2018type\u2019 is not an inductive type"], [71, 2, 1, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation", "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"], [54, 1, 1, "coq:tacn.\u2026-:-\u2026-(goal-selector)", "\u2026 : \u2026 (goal selector)"], [57, 1, 1, "coq:tacn.\u2026-:-\u2026-(ssreflect)", "\u2026 : \u2026 (ssreflect)"]], "..": [[4, 2, 1, "coq:warn....-is-not-definitionally-an-identity-function", " is not definitionally an identity function"]], "Argument \u2018name\u2019 is a trailing implicit, so it can&#x27;t be declared non maximal": [[44, 0, 1, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]", " Please use { } instead of [ ]"]], "Cannot infer a term for this placeholder": [[44, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)", " (Casual use of implicit arguments)"], [58, 0, 1, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)", " (refine)"]], "Compiled library \u2018ident\u2019": [[59, 0, 1, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019", "vo makes inconsistent assumptions over library \u2018qualid\u2019"]], "Duplicate clear of H": [[57, 2, 1, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H", " Use { }H instead of { H }H"]], "File ... found twice in ..": [[59, 2, 1, "coq:warn.File-...-found-twice-in-...", ""]], "Goal is solvable by congruence but some arguments are missing": [[62, 0, 1, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms", " Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]], "Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Ltac Profiler encountered an invalid stack (no self node)": [[54, 2, 1, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution", " This can happen if you reset the profile during tactic execution"]], "Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last &quot;Proof.&quot; with &quot;Qed.&quot; or &quot;Defined.&quot;": [[32, 0, 1, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on", " If you really intended to use nested proofs, you can do so by turning the &quot;Nested Proofs Allowed&quot; flag on"]], "New coercion path ... is ambiguous with existing ..": [[4, 2, 1, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...", ""]], "No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop": [[67, 0, 1, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities", " You can try to use option Set Keep Proof Equalities"]], "No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..": [[58, 0, 1, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)", ")"]], "No such goal": [[54, 0, 1, "coq:exn.No-such-goal.-(Goal-selector)", " (Goal selector)"], [54, 0, 1, "coq:exn.No-such-goal.-(fail)", " (fail)"], [66, 0, 1, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019", " Focus next goal with bullet \u2018bullet\u2019"], [66, 0, 1, "coq:exn.No-such-goal.-Try-unfocusing-with-}", " Try unfocusing with }"]], "Notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019": [[74, 2, 1, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead", " Use \u2018qualid\u2019 instead"]], "Proof is not complete": [[66, 0, 1, "coq:exn.Proof-is-not-complete.-(abstract)", " (abstract)"], [58, 0, 1, "coq:exn.Proof-is-not-complete.-(assert)", " (assert)"]], "Require inside a module is deprecated and strongly discouraged": [[59, 2, 1, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one", " You can Require a module at toplevel and optionally Import it inside another one"]], "Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..": [[59, 0, 1, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)", ")"]], "SSReflect: cannot obtain new equations out of ..": [[57, 2, 1, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...", ""]], "Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019": [[74, 2, 1, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019", " \u2018string\u2019"]], "The file \u2018ident\u2019": [[59, 0, 1, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019", "vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]], "The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Stdlib.Classes": [[64, 0, 1, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library", "RelationClasses library"]], "This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add &#x27;: assert&#x27; to silence the warning. If you want to clear implicit arguments, add &#x27;: clear implicits&#x27;": [[41, 2, 1, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'", " If you want to clear notation scopes, add &#x27;: clear scopes&#x27;"]], "This hint is not local but depends on a section variable": [[60, 2, 1, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed", " It will disappear when the section is closed"]], "Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019": [[71, 2, 1, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation", " This might yield ill typed terms when using the notation"]], "Unable to apply lemma of type &quot;...&quot; on hypothesis of type &quot;..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", "&quot;"]], "Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning": [[46, 2, 1, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.", ""]], "package-name": [[59, 0, 1, "coq:exn.package-name.foo-and-not-foo_plugin", "foo and not foo_plugin"]], "plugin name anymore": [[59, 0, 1, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their", " Plugins should be loaded using their"]], "\u2018ident\u2019 already exists": [[28, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)", " (Axiom)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)", " (Definition)"], [32, 0, 1, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)", " (Theorem)"]], "\u2018qualid\u2019 should go from Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)", "string to \u2018type\u2019 or (option \u2018type\u2019)"]], "\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)", "number could be used (you may need to require BinNums or Number or PrimInt63 first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to T or (option T), where T is either Byte.byte, (list Byte.byte), or PrimString": [[71, 0, 1, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string", "string"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]], "\u2018string\u2019 cannot be interpreted as a known notation": [[71, 0, 1, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\"", " Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by &quot;_&quot;"]]}, "objtypes": {"0": "coq:exn", "1": "coq:tacn", "2": "coq:warn", "3": "coq:cmd", "4": "coq:flag", "5": "coq:thm", "6": "coq:opt", "7": "coq:attr", "8": "coq:table", "9": "coq:tacv"}, "objnames": {"0": ["coq", "exn", "Coq exn"], "1": ["coq", "tacn", "Coq tacn"], "2": ["coq", "warn", "Coq warn"], "3": ["coq", "cmd", "Coq cmd"], "4": ["coq", "flag", "Coq flag"], "5": ["coq", "thm", "Coq thm"], "6": ["coq", "opt", "Coq opt"], "7": ["coq", "attr", "Coq attr"], "8": ["coq", "table", "Coq table"], "9": ["coq", "tacv", "Coq tacv"]}, "titleterms": {"program": [2, 6, 9, 27, 55, 60], "extract": [2, 17, 24], "gener": [2, 3, 4, 11, 14, 23, 29, 44, 54, 55, 57, 67, 71, 72], "ml": [2, 55], "code": 2, "option": [2, 17, 21, 29, 51, 66, 75], "set": [2, 13, 26, 29, 37, 41, 57, 58, 60, 66], "target": [2, 53], "languag": [2, 17, 24, 25, 33, 45, 55, 57], "inlin": [2, 59], "optim": [2, 54], "extra": [2, 59], "elimin": [2, 46, 57], "useless": 2, "argument": [2, 37, 41, 44, 46, 53, 57, 67, 71], "realiz": 2, "axiom": 2, "induct": [2, 26, 34, 40, 46, 67, 71, 72], "type": [2, 3, 4, 10, 17, 26, 28, 30, 32, 34, 35, 37, 38, 40, 44, 46, 54, 55, 57, 59, 67, 71], "ffi": 2, "avoid": 2, "conflict": 2, "exist": [2, 24, 35], "filenam": [2, 53], "addit": [2, 57, 60], "differ": [2, 44, 66], "between": [2, 55, 59, 66], "rocq": [2, 25, 51, 53, 57, 60, 71, 74, 75], "system": [2, 35], "some": [2, 35], "exampl": [2, 3, 4, 5, 6, 11, 14, 17, 26, 27, 28, 29, 30, 31, 34, 35, 37, 38, 40, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 64, 66, 67, 71, 72, 74, 75], "A": [2, 14, 35, 58, 67], "detail": [2, 17, 24, 53], "euclidean": 2, "divis": 2, "": [2, 41, 67], "horror": 2, "museum": 2, "user": [2, 3, 10, 24, 27], "contribut": [2, 24, 27], "rewrit": [3, 10, 57, 64, 67], "introduct": [3, 25, 57], "relat": 3, "morphism": 3, "parametr": [3, 46, 57], "continu": [3, 41, 44], "contravari": 3, "ad": [3, 11, 52], "new": [3, 11, 17, 24, 35, 53, 57, 63], "nonreflex": 3, "nonsymmetr": 3, "covari": 3, "ambigu": 3, "setoid": [3, 64], "context": [3, 13, 54, 55, 57, 58], "valu": [3, 46, 54, 55], "declar": [3, 13, 38, 41, 42, 44, 55, 57, 66, 67], "command": [3, 13, 17, 19, 24, 35, 51, 52, 57, 59, 66, 67, 71, 75, 76], "tactic": [3, 5, 11, 17, 22, 24, 27, 43, 54, 55, 57, 58, 60, 61, 63, 64, 67, 71, 72, 74], "first": [3, 34, 46, 54, 57], "class": [3, 4, 37, 55, 71], "enabl": [3, 66, 71], "provid": [3, 46], "print": [3, 4, 14, 37, 43, 44, 46, 54, 55, 59, 71, 75], "deprec": [3, 74], "syntax": [3, 10, 17, 24, 29, 44, 46, 54, 55, 57, 71], "backward": [3, 58], "incompat": [3, 17], "extens": [3, 24, 45, 46, 57, 71], "under": [3, 57], "binder": [3, 28, 44, 57, 71], "subrel": 3, "constant": [3, 37, 59, 71], "unfold": [3, 41, 64], "dure": 3, "proper": 3, "instanc": [3, 13, 43], "search": [3, 59, 60], "strategi": [3, 46, 64], "usag": [3, 11, 57, 66, 75], "definit": [3, 9, 12, 14, 30, 32, 34, 37, 40, 46, 54, 55, 57, 64, 71], "innermost": 3, "outermost": 3, "implicit": [4, 41, 44, 46, 60, 71], "coercion": [4, 46, 71], "present": [4, 14], "revers": [4, 44, 54, 55, 64], "ident": [4, 54], "inherit": [4, 71], "graph": 4, "displai": [4, 43, 44, 52, 59, 71], "avail": 4, "activ": 4, "record": [4, 37], "section": [4, 13, 14, 38, 66, 75], "modul": [4, 35, 53], "function": [4, 28, 30, 34, 41, 44, 54, 60, 72], "applic": [4, 28, 44, 54, 58], "us": [4, 14, 25, 35, 37, 38, 43, 44, 46, 51, 52, 53, 54, 58, 64, 66, 67, 71], "attribut": [4, 17, 18, 29, 35, 38], "micromega": 5, "solver": [5, 7, 11, 61, 62], "arithmet": [5, 27], "goal": [5, 11, 54, 55, 57, 58, 66, 67], "over": [5, 9, 55, 57], "order": [5, 10, 58], "ring": [5, 11], "short": 5, "descript": 5, "positivstellensatz": 5, "refut": 5, "lra": 5, "decis": 5, "procedur": 5, "linear": 5, "real": [5, 17], "ration": [5, 11], "lia": 5, "integ": [5, 36, 71], "high": 5, "level": [5, 10, 29, 30, 32, 34, 55], "view": [5, 57], "cut": [5, 54], "plane": 5, "proof": [5, 8, 12, 14, 25, 31, 32, 46, 54, 57, 58, 60, 65, 66], "case": [5, 24, 40, 52, 57, 58, 67], "split": [5, 53], "nra": 5, "non": [5, 12, 34, 44, 54, 55, 58, 67, 71], "nia": 5, "psatz": 5, "zifi": 5, "pre": 5, "process": [5, 8, 54], "deriv": [6, 42, 67], "nsatz": 7, "equal": [7, 9, 27, 62, 64, 67], "integr": 7, "domain": 7, "more": 7, "about": [7, 46, 71], "asynchron": [8, 52], "parallel": 8, "annot": 8, "automat": [8, 11, 34, 41, 43, 44, 61, 67], "suggest": 8, "block": [8, 57], "error": [8, 20, 54, 55], "resili": 8, "caveat": [8, 30], "interact": [8, 35, 44, 51, 54, 55, 57], "mode": [8, 44, 52, 55, 57, 66], "limit": [8, 67], "number": [8, 54, 60, 71], "worker": 8, "elabor": 9, "syntact": [9, 54, 55], "control": [9, 35, 44, 46, 54, 57, 58, 59, 64, 66], "fixpoint": [9, 34], "lemma": [9, 27, 66], "solv": [9, 43, 54, 66], "oblig": 9, "frequent": 9, "ask": 9, "question": 9, "defin": [10, 34, 35, 37, 54, 55, 60], "rule": [10, 26, 31, 34, 38, 57, 64, 71, 75], "symbol": [10, 52, 54], "pattern": [10, 44, 46, 54, 55, 57, 58, 59, 71], "higher": 10, "hole": [10, 54], "univers": [10, 14], "polymorph": [10, 14, 34, 57], "preserv": 10, "confluenc": 10, "termin": [10, 12, 57], "compat": [10, 17, 37, 55, 57, 74], "eta": 10, "law": 10, "support": [10, 29, 52], "field": [11, 35, 37], "polynomi": 11, "equat": [11, 57], "what": 11, "doe": [11, 46], "thi": 11, "do": [11, 54], "The": [11, 26, 27, 34, 35, 44, 51, 53, 57, 71, 75], "variabl": [11, 43, 44, 46, 51, 52, 55, 66], "map": 11, "i": [11, 54, 58], "concret": [11, 24], "structur": [11, 42, 57], "how": [11, 66], "work": [11, 53, 66], "deal": 11, "side": [11, 46], "histori": [11, 15, 24], "discuss": 11, "sprop": 12, "irrelev": [12, 31], "proposit": [12, 27, 54], "basic": [12, 27, 29, 52, 53, 54, 57, 65, 71], "construct": [12, 24, 26, 34, 37, 40, 54, 59], "encod": [12, 52], "strict": [12, 34, 44, 55], "uip": 12, "debug": [12, 54, 55, 59], "issu": [12, 17, 57], "typeclass": [13, 57], "bind": [13, 41, 52, 55, 58, 71], "parameter": [13, 34, 71], "build": [13, 53], "hierarchi": [13, 42], "superclass": 13, "substructur": 13, "summari": [13, 17, 24, 35, 38], "transpar": 13, "opaqu": 13, "eauto": 13, "monomorph": 14, "cumul": 14, "noncumul": 14, "specifi": 14, "demonstr": 14, "varianc": 14, "weak": 14, "constraint": [14, 66], "global": [14, 54, 71], "local": [14, 29, 35, 38, 46, 53, 54, 57, 58, 60, 71], "convers": [14, 31, 64], "unif": [14, 58, 66], "minim": 14, "explicit": [14, 43, 44, 57], "sort": [14, 34, 39], "recent": [15, 17], "chang": [15, 17, 24, 55], "index": [16, 18, 19, 20, 21, 22, 23, 34, 57, 69], "unreleas": 17, "kernel": 17, "specif": [17, 25, 27], "infer": [17, 43, 44], "notat": [17, 27, 42, 54, 55, 59, 71], "ltac": [17, 54, 55], "ltac2": [17, 55], "ssreflect": [17, 57], "line": [17, 51, 75, 76], "tool": [17, 24, 76], "rocqid": [17, 52], "standard": [17, 24, 55, 57, 60, 71], "librari": [17, 24, 27, 51, 53, 59, 60, 71, 73, 74], "infrastructur": 17, "depend": [17, 46, 53, 58, 59, 67], "miscellan": [17, 24], "version": [17, 24, 53], "9": 17, "0": [17, 24], "8": 17, "20": 17, "coqid": 17, "1": [17, 24, 37, 67], "19": 17, "2": [17, 24, 37, 67], "18": 17, "17": 17, "16": 17, "15": 17, "14": 17, "nativ": [17, 53], "compil": [17, 51, 52, 53, 59], "13": 17, "beta1": 17, "12": 17, "flag": [17, 21, 29, 59], "refer": [17, 54, 59], "manual": [17, 41, 44], "11": 17, "10": 17, "other": [17, 44, 66], "beta2": 17, "beta3": 17, "7": [17, 24], "potenti": 17, "6": [17, 24], "sourc": [17, 75], "6beta1": 17, "5": [17, 24], "5beta1": 17, "5beta2": 17, "5beta3": 17, "5pl1": 17, "5pl2": 17, "5pl3": 17, "4": [17, 24], "4beta": 17, "4beta2": 17, "3": [17, 24, 71], "1beta": 17, "1gamma": 17, "0beta": 17, "old": 17, "warn": [20, 53, 74], "tabl": [21, 29], "earli": 24, "coq": [24, 27, 52], "histor": 24, "root": [24, 53], "main": 24, "novelti": 24, "let": [24, 32, 46, 54, 57], "long": 24, "name": [24, 35, 37, 54, 66], "reduct": [24, 31, 34, 37, 55, 59, 64], "effici": 24, "pars": [24, 44, 55, 71], "grammar": [24, 53], "content": 25, "prover": [25, 51, 53], "appendix": 25, "term": [26, 54, 55, 64, 71], "subtyp": [26, 44], "calculu": 26, "impred": 26, "prelud": 27, "logic": [27, 53, 54, 60, 62], "connect": 27, "quantifi": 27, "datatyp": 27, "well": [27, 34], "found": 27, "recurs": [27, 30, 34, 55, 71, 72], "assumpt": [28, 57], "fun": 28, "foral": 28, "simpl": [28, 31, 34, 35, 55, 64, 71], "notion": 29, "convent": [29, 46], "lexic": 29, "stack": [29, 52], "overflow": 29, "nat": 29, "essenti": 29, "vocabulari": 29, "document": [29, 53, 75], "unset": 29, "coinduct": 30, "corecurs": 30, "co": 30, "cofix": 30, "top": [30, 32, 34], "\u03b1": 31, "\u03b2": 31, "\u03b4": 31, "\u03b9": 31, "\u03b6": 31, "\u03b7": 31, "expans": [31, 46], "delta": 31, "fix": [31, 34], "beta": 31, "match": [31, 34, 37, 40, 46, 54, 55, 57], "convert": 31, "cast": 32, "assert": 32, "core": 33, "prop": 34, "lower": 34, "mutual": 34, "theori": 34, "object": [34, 36, 46, 74], "form": 34, "ariti": 34, "given": 34, "constructor": [34, 67], "posit": 34, "condit": [34, 54, 57], "nest": [34, 46], "correct": 34, "neg": 34, "occurr": [34, 57, 58, 67], "second": [34, 46, 54, 58], "strictli": 34, "templat": [34, 52], "destructor": 34, "end": [34, 38], "creat": [35, 37, 43, 60, 63], "omit": 35, "item": [35, 57], "from": [35, 44, 55], "an": [35, 57, 59, 67], "functor": 35, "paramet": [35, 46, 51, 57], "two": [35, 54], "sub": 35, "share": 35, "qualifi": 35, "scope": [35, 41, 71], "primit": [36, 37, 59, 71], "float": 36, "arrai": 36, "byte": 36, "base": 36, "string": [36, 71], "reus": 37, "multipl": [37, 41, 46, 53, 54, 55, 57], "claus": [37, 46, 58], "access": 37, "project": [37, 53], "anonym": [37, 57], "variant": [40, 46, 57, 58], "privat": 40, "properti": [41, 54, 71], "altern": [41, 54], "implicits_alt": 41, "default": [41, 46], "renam": 41, "effect": [41, 55], "bidirection": 41, "hint": [41, 57, 59, 60], "canon": 42, "overload": 42, "compact": 42, "existenti": [43, 57], "subterm": [43, 46], "e": 43, "can": 43, "appli": [43, 57, 58, 64, 67], "v": [43, 55, 57], "eappli": 43, "resolut": [43, 44, 57], "pretti": [43, 44, 46, 75], "kind": 44, "knowledg": 44, "maxim": 44, "insert": 44, "trail": 44, "casual": 44, "contextu": [44, 57], "follow": 44, "combin": [44, 58, 67], "explicitli": 44, "give": 44, "when": [44, 46, 57], "deactiv": 44, "extend": [46, 57], "boolean": [46, 54, 57], "express": [46, 54, 55, 71], "irrefut": 46, "destructur": [46, 57], "factor": [46, 71], "same": [46, 53], "right": [46, 67], "hand": 46, "wildcard": [46, 57], "predic": [46, 57, 67], "hidden": 46, "unus": 46, "alias": 46, "subpattern": 46, "disjunct": 46, "understand": 46, "must": 46, "write": [46, 65, 74], "involv": [46, 71], "fail": [46, 54, 57], "repl": 51, "batch": 51, "load": [51, 53, 59], "singl": [51, 54], "file": [51, 52, 53, 59, 74, 75], "custom": [51, 52, 71], "launch": 51, "time": [51, 53, 54], "coqrc": 51, "start": [51, 57], "up": 51, "script": [51, 52], "environ": [51, 59], "profil": [51, 54, 55], "interfac": 51, "produc": 51, "vo": 51, "checker": 51, "rocqchk": 51, "manag": [52, 58, 66], "buffer": 52, "edit": 52, "run": [52, 54], "queri": [52, 59], "prefer": 52, "kei": 52, "unicod": 52, "input": 52, "charact": 52, "save": 52, "debugg": [52, 54], "breakpoint": 52, "call": [52, 55], "configur": 53, "instal": 53, "packag": 53, "opam": 53, "setup": 53, "your": 53, "own": 53, "_coqproject": 53, "overview": [53, 55], "path": [53, 59], "modifi": 53, "interdepend": 53, "uninstal": 53, "upgrad": 53, "makefil": 53, "comment": 53, "quot": 53, "c": 53, "forbidden": 53, "No": 53, "common": [53, 58], "coqmakefil": 53, "late": 53, "perform": [53, 58], "test": [53, 54], "subset": 53, "j": 53, "precompil": 53, "native_comput": [53, 64], "dune": 53, "dep": 53, "comput": [53, 54, 64], "embed": 53, "phrase": 53, "insid": [53, 54, 75], "latex": [53, 75], "man": 53, "page": 53, "macro": 54, "defect": [54, 57], "substitut": 54, "selector": [54, 57], "reorder": [54, 66], "focus": [54, 66], "branch": [54, 57], "backtrack": [54, 55, 59], "flow": [54, 57, 58], "sequenc": 54, "loop": 54, "repeat": 54, "catch": [54, 55], "try": 54, "tryif": 54, "succe": 54, "list": [54, 55, 75], "make": 54, "progress": 54, "detect": 54, "success": 54, "failur": 54, "check": 54, "assert_succe": 54, "assert_fail": 54, "soft": 54, "onc": 54, "exactly_onc": 54, "manipul": 54, "comparison": [54, 55], "lazymatch": 54, "multimatch": 54, "hypothes": [54, 55, 58, 59, 66], "wai": [54, 55], "fill": 54, "fresh": 54, "hypothesi": [54, 58], "eval": [54, 64], "get": [54, 57], "untyp": 54, "type_term": 54, "count": 54, "numgoal": 54, "guard": 54, "is_fix": 54, "is_cofix": 54, "is_proj": 54, "timeout": 54, "evalu": [54, 55], "time_constr": 54, "idtac": 54, "toplevel": 54, "natur": [54, 55, 60, 67], "have": [54, 57], "least": 54, "element": [54, 58], "prove": [54, 66, 67], "permut": 54, "decid": [54, 67], "intuitionist": 54, "isomorph": 54, "backtrac": 54, "trace": 54, "execut": 54, "design": 55, "compon": 55, "api": 55, "dynam": 55, "mutabl": 55, "cell": 55, "io": 55, "fatal": 55, "meta": 55, "quotat": 55, "built": 55, "antiquot": 55, "semant": 55, "static": 55, "lazy_match": 55, "multi_match": 55, "abbrevi": [55, 57, 71], "layer": 55, "ltac1": 55, "low": 55, "switch": [55, 57], "transit": 55, "delai": [55, 66], "In": 55, "except": 55, "acknowledg": 57, "gallina": 57, "assign": 57, "select": 57, "bookkeep": 57, "move": [57, 58], "elim": 57, "discharg": 57, "clear": 57, "exact": 57, "abstract": [57, 66], "simplif": 57, "intro": [57, 58], "famili": 57, "indent": 57, "bullet": [57, 66], "iter": 57, "entri": [57, 71], "suff": 57, "wlog": 57, "advanc": [57, 72], "remark": 57, "redex": 57, "chain": 57, "step": [57, 66], "ar": [57, 66], "repetit": 57, "multi": 57, "licit": 57, "metavari": 57, "One": 57, "liner": 57, "lock": 57, "unlock": 57, "congruenc": 57, "recurr": 57, "reflect": 57, "interpret": [57, 71], "special": [57, 58], "mechan": 57, "equival": [57, 58], "shortcut": 57, "synopsi": 57, "reserv": [58, 71], "keyword": [58, 59], "invoc": 58, "b": 58, "compound": 58, "theorem": 58, "reason": [58, 64, 67], "includ": 58, "premis": [58, 67], "forward": 58, "until": 58, "simple_bind": 58, "partial": 58, "product": 58, "contradict": 58, "classic": 58, "orient": 58, "part": [59, 75], "identifi": [59, 71], "disambigu": 59, "conclus": 59, "statu": 59, "searchpattern": 59, "searchrewrit": 59, "request": [59, 66], "locat": [59, 71], "quit": 59, "full": 59, "intern": 59, "registr": 59, "expos": 59, "ocaml": 59, "fast": [59, 64], "machin": 59, "regist": 59, "oper": 59, "programm": [60, 61], "ackermann": 60, "maccarthi": 60, "databas": 60, "autom": 60, "leibniz": 64, "fold": 64, "doesn": 64, "t": 64, "alwai": 64, "undo": 64, "fold_right": 64, "vm_comput": 64, "algorithm": 64, "state": 66, "enter": 66, "exit": 66, "curli": 66, "brace": 66, "shelv": 66, "shelve_unifi": 66, "cycl": 66, "swap": 66, "revgoal": 66, "subgoal": 66, "separ": 66, "inform": [66, 71], "show": [66, 75], "diff": 66, "calcul": 66, "mainten": 66, "memori": 66, "left": 67, "analysi": 67, "destruct": 67, "discrimin": 67, "n": 67, "invers": 67, "or_and_intropattern": 67, "inversion_sigma": 67, "helper": 67, "principl": [67, 72, 75], "scheme": [67, 72], "tree": 67, "forest": 67, "odd": 67, "even": 67, "variou": 67, "scheme_typ": 67, "larger": 67, "glossari": 69, "preced": 71, "associ": 71, "complex": 71, "infix": 71, "simultan": 71, "disabl": 71, "bound": 71, "both": 71, "predefin": 71, "open": 71, "type_scop": 71, "function_scop": 71, "radix": 71, "plugin": [73, 74], "trigger": 74, "introduc": 74, "alia": 74, "doc": 75, "materi": 75, "emphasi": 75, "escap": 75, "html": 75, "verbatim": 75, "hyperlink": 75, "hide": 75, "style": 75, "graphic": 76, "bibliographi": 77}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 8, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.todo": 2, "sphinxcontrib.bibtex": 9, "coqrst.coqdomain": 2, "sphinx": 57}, "alltitles": {"Program extraction": [[2, "program-extraction"]], "Generating ML Code": [[2, "generating-ml-code"]], "Extraction Options": [[2, "extraction-options"]], "Setting the target language": [[2, "setting-the-target-language"]], "Inlining and optimizations": [[2, "inlining-and-optimizations"]], "Extra elimination of useless arguments": [[2, "extra-elimination-of-useless-arguments"]], "Realizing axioms": [[2, "realizing-axioms"]], "Realizing inductive types": [[2, "realizing-inductive-types"]], "Generating FFI Code": [[2, "generating-ffi-code"]], "Avoiding conflicts with existing filenames": [[2, "avoiding-conflicts-with-existing-filenames"]], "Additional settings": [[2, "additional-settings"]], "Differences between Rocq and ML type systems": [[2, "differences-between-rocq-and-ml-type-systems"]], "Some examples": [[2, "some-examples"]], "A detailed example: Euclidean division": [[2, "a-detailed-example-euclidean-division"]], "Extraction's horror museum": [[2, "extraction-s-horror-museum"]], "Users' Contributions": [[2, "users-contributions"]], "Generalized rewriting": [[3, "generalized-rewriting"]], "Introduction to generalized rewriting": [[3, "introduction-to-generalized-rewriting"]], "Relations and morphisms": [[3, "relations-and-morphisms"]], "Example: Parametric relation": [[3, null], [3, null]], "Example: Parametric relation (continued)": [[3, null]], "Example: Morphisms": [[3, null]], "Example: Contravariant morphisms": [[3, null]], "Example: Rewriting": [[3, null]], "Adding new relations and morphisms": [[3, "adding-new-relations-and-morphisms"]], "Example": [[3, null], [3, null], [3, null], [3, null], [3, null], [3, null], [6, null], [11, null], [11, null], [11, null], [17, null], [26, null], [27, null], [30, null], [30, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [34, null], [35, null], [35, null], [35, null], [35, null], [35, null], [37, null], [37, null], [40, null], [40, null], [41, null], [41, null], [41, null], [41, null], [41, null], [41, null], [42, null], [42, null], [42, null], [44, null], [44, null], [44, null], [44, null], [46, null], [46, null], [46, null], [46, null], [46, null], [46, null], [52, null], [53, null], [53, null], [53, null], [53, null], [53, null], [53, null], [53, null], [53, null], [54, null], [54, null], [54, null], [54, null], [55, null], [55, null], [55, null], [55, null], [55, null], [55, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [57, null], [58, null], [58, "simple-apply-ex"], [58, null], [58, null], [58, null], [58, null], [58, null], [59, null], [60, null], [60, null], [60, null], [62, null], [62, null], [62, null], [62, null], [64, null], [64, null], [64, null], [64, null], [64, null], [64, null], [66, null], [66, null], [66, null], [66, null], [67, null], [67, null], [67, null], [67, null], [67, null], [67, null], [67, null], [71, null], [72, null], [72, null], [72, null], [75, null], [75, null], [75, null], [75, null]], "Rewriting and nonreflexive relations": [[3, "rewriting-and-nonreflexive-relations"]], "Rewriting and nonsymmetric relations": [[3, "rewriting-and-nonsymmetric-relations"]], "Example: Covariance and contravariance": [[3, null]], "Rewriting in ambiguous setoid contexts": [[3, "rewriting-in-ambiguous-setoid-contexts"]], "Rewriting with Type valued relations": [[3, "rewriting-with-type-valued-relations"]], "Declaring rewrite relations": [[3, "declaring-rewrite-relations"]], "Commands and tactics": [[3, "commands-and-tactics"]], "First class setoids and morphisms": [[3, "first-class-setoids-and-morphisms"]], "Example: First class setoids": [[3, null]], "Tactics enabled on user provided relations": [[3, "tactics-enabled-on-user-provided-relations"]], "Printing relations and morphisms": [[3, "printing-relations-and-morphisms"]], "Deprecated syntax and backward incompatibilities": [[3, "deprecated-syntax-and-backward-incompatibilities"]], "Extensions": [[3, "extensions"]], "Rewriting under binders": [[3, "rewriting-under-binders"], [57, "rewriting-under-binders"]], "Subrelations": [[3, "subrelations"]], "Constant unfolding during rewriting": [[3, "constant-unfolding-during-rewriting"]], "Constant unfolding during Proper-instance search": [[3, "constant-unfolding-during-proper-instance-search"]], "Strategies for rewriting": [[3, "strategies-for-rewriting"]], "Usage": [[3, "usage"], [57, "usage"], [75, "usage"]], "Definitions": [[3, "definitions"], [32, "definitions"], [57, "definitions"]], "Example: innermost and outermost": [[3, "rewrite-strat-innermost-outermost"]], "Implicit Coercions": [[4, "implicit-coercions"]], "General Presentation": [[4, "general-presentation"], [14, "general-presentation"]], "Coercion Classes": [[4, "coercion-classes"], [4, "id2"]], "Coercions": [[4, "id1"]], "Reversible Coercions": [[4, "reversible-coercions"]], "Identity Coercions": [[4, "identity-coercions"]], "Inheritance Graph": [[4, "inheritance-graph"]], "Displaying Available Coercions": [[4, "displaying-available-coercions"]], "Activating the Printing of Coercions": [[4, "activating-the-printing-of-coercions"]], "Classes as Records": [[4, "classes-as-records"]], "Coercions and Sections": [[4, "coercions-and-sections"]], "Coercions and Modules": [[4, "coercions-and-modules"]], "Examples": [[4, "examples"], [31, "examples"], [35, "examples"], [57, "examples"]], "Example: Coercion at function application": [[4, null]], "Example: Coercion to a type": [[4, null]], "Example: Coercion to a function": [[4, null]], "Example: Reversible coercions": [[4, "example-reversible-coercion"]], "Example: Reversible coercions using the reversible attribute": [[4, "example-reversible-coercion-attribute"]], "Example: Identity coercions.": [[4, "example-identity-coercion"]], "Example: Inheritance Graph": [[4, null]], "Micromega: solvers for arithmetic goals over ordered rings": [[5, "micromega-solvers-for-arithmetic-goals-over-ordered-rings"]], "Short description of the tactics": [[5, "short-description-of-the-tactics"]], "Positivstellensatz refutations": [[5, "positivstellensatz-refutations"]], "lra: a decision procedure for linear real and rational arithmetic": [[5, "lra-a-decision-procedure-for-linear-real-and-rational-arithmetic"]], "lia: a tactic for linear integer arithmetic": [[5, "lia-a-tactic-for-linear-integer-arithmetic"]], "High level view of lia": [[5, "high-level-view-of-lia"]], "Cutting plane proofs": [[5, "cutting-plane-proofs"]], "Example: Cutting plane": [[5, null]], "Case split": [[5, "case-split"]], "nra: a proof procedure for non-linear arithmetic": [[5, "nra-a-proof-procedure-for-non-linear-arithmetic"]], "nia: a proof procedure for non-linear integer arithmetic": [[5, "nia-a-proof-procedure-for-non-linear-integer-arithmetic"]], "psatz: a proof procedure for non-linear arithmetic": [[5, "psatz-a-proof-procedure-for-non-linear-arithmetic"]], "zify: pre-processing of arithmetic goals": [[5, "zify-pre-processing-of-arithmetic-goals"]], "Example: Lra": [[5, "lra-example"]], "Program derivation": [[6, "program-derivation"]], "Nsatz: a solver for equalities in integral domains": [[7, "nsatz-a-solver-for-equalities-in-integral-domains"]], "More about nsatz": [[7, "more-about-nsatz"]], "Asynchronous and Parallel Proof Processing": [[8, "asynchronous-and-parallel-proof-processing"]], "Proof annotations": [[8, "proof-annotations"]], "Automatic suggestion of proof annotations": [[8, "automatic-suggestion-of-proof-annotations"]], "Proof blocks and error resilience": [[8, "proof-blocks-and-error-resilience"]], "Caveats": [[8, "caveats"], [8, "id3"]], "Interactive mode": [[8, "interactive-mode"], [57, "interactive-mode"]], "Limiting the number of parallel workers": [[8, "limiting-the-number-of-parallel-workers"]], "Program": [[9, "program"]], "Elaborating programs": [[9, "elaborating-programs"]], "Syntactic control over equalities": [[9, "syntactic-control-over-equalities"]], "Program Definition": [[9, "program-definition"]], "Program Fixpoint": [[9, "program-fixpoint"]], "Program Lemma": [[9, "program-lemma"]], "Solving obligations": [[9, "solving-obligations"]], "Frequently Asked Questions": [[9, "frequently-asked-questions"]], "User-defined rewrite rules": [[10, "user-defined-rewrite-rules"]], "Symbols": [[10, "symbols"]], "Rewrite rules": [[10, "id1"]], "Pattern syntax": [[10, "pattern-syntax"]], "Higher-order pattern holes": [[10, "higher-order-pattern-holes"]], "Universe polymorphic rules": [[10, "universe-polymorphic-rules"]], "Rewrite rules, type preservation, confluence and termination": [[10, "rewrite-rules-type-preservation-confluence-and-termination"]], "Compatibility with the eta laws": [[10, "compatibility-with-the-eta-laws"]], "Level of support": [[10, "level-of-support"]], "ring and field: solvers for polynomial and rational equations": [[11, "ring-and-field-solvers-for-polynomial-and-rational-equations"]], "What does this tactic do?": [[11, "what-does-this-tactic-do"]], "The variables map": [[11, "the-variables-map"]], "Is it automatic?": [[11, "is-it-automatic"]], "Concrete usage": [[11, "concrete-usage"]], "Adding a ring structure": [[11, "adding-a-ring-structure"]], "How does it work?": [[11, "how-does-it-work"]], "Dealing with fields": [[11, "dealing-with-fields"]], "Example: field that generates side goals": [[11, null]], "Adding a new field structure": [[11, "adding-a-new-field-structure"]], "History of ring": [[11, "history-of-ring"]], "Discussion": [[11, "discussion"]], "SProp (proof irrelevant propositions)": [[12, "sprop-proof-irrelevant-propositions"]], "Basic constructs": [[12, "basic-constructs"]], "Encodings for strict propositions": [[12, "encodings-for-strict-propositions"]], "Definitional UIP": [[12, "definitional-uip"]], "Non Termination with UIP": [[12, "non-termination-with-uip"]], "Debugging \\SProp issues": [[12, "debugging-sprop-issues"]], "Typeclasses": [[13, "typeclasses"]], "Typeclass and instance declarations": [[13, "typeclass-and-instance-declarations"]], "Binding typeclasses": [[13, "binding-typeclasses"]], "Parameterized instances": [[13, "parameterized-instances"]], "Sections and contexts": [[13, "sections-and-contexts"]], "Building hierarchies": [[13, "building-hierarchies"]], "Superclasses": [[13, "superclasses"]], "Substructures": [[13, "substructures"]], "Command summary": [[13, "command-summary"]], "Typeclasses Transparent, Typeclasses Opaque": [[13, "typeclasses-transparent-typeclasses-opaque"]], "Settings": [[13, "settings"], [29, "settings"], [57, "settings"]], "Typeclasses eauto": [[13, "typeclasses-eauto"]], "Polymorphic Universes": [[14, "polymorphic-universes"]], "Polymorphic, Monomorphic": [[14, "polymorphic-monomorphic"]], "Cumulative, NonCumulative": [[14, "cumulative-noncumulative"]], "Specifying cumulativity": [[14, "specifying-cumulativity"]], "Example: Demonstration of universe variances": [[14, null]], "Example: A proof using cumulativity": [[14, null]], "Cumulativity Weak Constraints": [[14, "cumulativity-weak-constraints"]], "Global and local universes": [[14, "global-and-local-universes"]], "Conversion and unification": [[14, "conversion-and-unification"]], "Minimization": [[14, "minimization"]], "Explicit Universes": [[14, "explicit-universes"]], "Printing universes": [[14, "printing-universes"]], "Polymorphic definitions": [[14, "polymorphic-definitions"]], "Sort polymorphism": [[14, "sort-polymorphism"]], "Universe polymorphism and sections": [[14, "universe-polymorphism-and-sections"]], "History and recent changes": [[15, "history-and-recent-changes"]], "Indexes": [[16, "indexes"]], "Recent changes": [[17, "recent-changes"]], "Unreleased changes": [[17, "unreleased-changes"]], "Kernel": [[17, "kernel"], [17, "id9"], [17, "id118"], [17, "id310"], [17, "id333"], [17, "id484"], [17, "id528"], [17, "id674"], [17, "id835"], [17, "id976"], [17, "id998"], [17, "id1166"], [17, "id1226"], [17, "id1399"], [17, "id1420"], [17, "id1567"], [17, "id1571"], [17, "id1585"]], "Specification language, type inference": [[17, "specification-language-type-inference"], [17, "id16"], [17, "changes-spec-language"], [17, "id338"], [17, "id504"], [17, "id534"], [17, "id679"], [17, "id847"], [17, "id1001"], [17, "id1233"], [17, "id1402"], [17, "id1430"], [17, "id1588"]], "Notations": [[17, "notations"], [17, "id35"], [17, "id146"], [17, "id313"], [17, "id350"], [17, "id489"], [17, "id507"], [17, "id547"], [17, "id685"], [17, "id859"], [17, "id1012"], [17, "id1171"], [17, "id1244"], [17, "id1459"], [17, "id1609"], [27, "notations"], [55, "notations"], [71, "notations"]], "Tactics": [[17, "tactics"], [17, "id38"], [17, "id155"], [17, "id318"], [17, "id385"], [17, "id491"], [17, "id510"], [17, "id560"], [17, "id693"], [17, "id865"], [17, "id1029"], [17, "id1174"], [17, "id1199"], [17, "id1261"], [17, "id1405"], [17, "id1492"], [17, "id1630"], [27, "tactics"], [57, "tactics"], [58, "tactics"], [60, "tactics"], [72, "tactics"]], "Ltac language": [[17, "ltac-language"], [17, "id182"], [17, "id420"], [17, "id713"]], "Ltac2 language": [[17, "ltac2-language"], [17, "id52"], [17, "id187"], [17, "ltac2"], [17, "id494"], [17, "id513"], [17, "id580"], [17, "id716"]], "SSReflect": [[17, "ssreflect"], [17, "id63"], [17, "id212"], [17, "id740"], [17, "id899"], [17, "id1079"], [17, "id1318"], [17, "id1519"], [17, "id1680"]], "Commands and options": [[17, "commands-and-options"], [17, "id67"], [17, "id221"], [17, "id442"], [17, "id515"], [17, "id598"], [17, "id742"], [17, "id901"], [17, "id985"], [17, "id1088"], [17, "id1321"], [17, "id1410"], [17, "id1523"], [17, "id1565"]], "Command-line tools": [[17, "command-line-tools"], [17, "id89"], [17, "id252"], [17, "id460"], [17, "id629"], [17, "id771"], [17, "id927"], [17, "id1120"], [17, "id1183"], [17, "id1344"]], "RocqIDE": [[17, "rocqide"], [17, "id95"], [52, "rocqide"]], "Standard library": [[17, "standard-library"], [17, "id104"], [17, "renaming-stdlib"], [17, "stdlib"], [17, "id641"], [17, "id777"], [17, "id934"], [17, "id1142"], [17, "id1216"], [17, "id1363"], [17, "id1544"], [17, "id1750"], [24, "standard-library"]], "Infrastructure and dependencies": [[17, "infrastructure-and-dependencies"], [17, "id107"], [17, "id287"], [17, "id499"], [17, "id522"], [17, "id662"], [17, "id797"], [17, "id953"], [17, "id1155"], [17, "id1390"], [17, "id1559"], [17, "id1825"]], "Extraction": [[17, "extraction"], [17, "id304"], [17, "id480"], [17, "id665"], [17, "id965"], [17, "id1161"], [17, "id1787"], [24, "extraction"]], "Miscellaneous": [[17, "miscellaneous"], [17, "id112"], [17, "id817"], [17, "id1194"], [17, "id1396"]], "Version 9.0": [[17, "version-9-0"]], "Summary of changes": [[17, "summary-of-changes"], [17, "id115"], [17, "id321"], [17, "id526"], [17, "id668"], [17, "id828"], [17, "id991"], [17, "id1219"], [17, "id1415"], [17, "id1579"], [17, "id1885"], [17, "id2023"], [17, "id2170"], [17, "id2172"], [17, "id2173"], [17, "id2174"], [17, "id2175"], [17, "id2177"], [17, "id2180"], [17, "id2181"], [17, "id2183"], [17, "id2184"], [24, "summary-of-changes"]], "Changes in 9.0.0": [[17, "changes-in-9-0-0"]], "Version 8.20": [[17, "version-8-20"]], "Changes in 8.20.0": [[17, "changes-in-8-20-0"]], "CoqIDE": [[17, "coqide"], [17, "id519"], [17, "id638"], [17, "id932"], [17, "id988"], [17, "id1135"], [17, "id1185"], [17, "id1204"], [17, "id1359"], [17, "id1541"], [17, "id1569"], [17, "id1747"]], "Changes in 8.20.1": [[17, "changes-in-8-20-1"]], "Version 8.19": [[17, "version-8-19"]], "Changes in 8.19.0": [[17, "changes-in-8-19-0"]], "Changes in 8.19.1": [[17, "changes-in-8-19-1"]], "Changes in 8.19.2": [[17, "changes-in-8-19-2"]], "Version 8.18": [[17, "version-8-18"]], "Changes in 8.18.0": [[17, "changes-in-8-18-0"]], "Version 8.17": [[17, "version-8-17"]], "Changes in 8.17.0": [[17, "changes-in-8-17-0"]], "Changes in 8.17.1": [[17, "changes-in-8-17-1"]], "Version 8.16": [[17, "version-8-16"]], "Changes in 8.16.0": [[17, "changes-in-8-16-0"]], "Tactic language": [[17, "tactic-language"], [17, "id1076"], [17, "id1298"], [17, "id1513"], [17, "id1576"], [17, "id1671"]], "Changes in 8.16.1": [[17, "changes-in-8-16-1"]], "Version 8.15": [[17, "version-8-15"]], "Changes in 8.15.0": [[17, "changes-in-8-15-0"]], "Changes in 8.15.1": [[17, "changes-in-8-15-1"]], "Changes in 8.15.2": [[17, "changes-in-8-15-2"]], "Version 8.14": [[17, "version-8-14"]], "Changes in 8.14.0": [[17, "changes-in-8-14-0"]], "Native Compilation": [[17, "native-compilation"]], "Changes in 8.14.1": [[17, "changes-in-8-14-1"]], "Version 8.13": [[17, "version-8-13"]], "Changes in 8.13+beta1": [[17, "changes-in-8-13-beta1"]], "Tools": [[17, "tools"], [17, "id1712"], [24, "tools"]], "Changes in 8.13.0": [[17, "changes-in-8-13-0"]], "Changes in 8.13.1": [[17, "changes-in-8-13-1"]], "Changes in 8.13.2": [[17, "changes-in-8-13-2"]], "Version 8.12": [[17, "version-8-12"]], "Changes in 8.12+beta1": [[17, "changes-in-8-12-beta1"]], "Flags, options and attributes": [[17, "flags-options-and-attributes"]], "Commands": [[17, "id1694"], [57, "commands"], [59, "commands"]], "Reals library": [[17, "reals-library"]], "Reference manual": [[17, "refman"]], "Changes in 8.12.0": [[17, "changes-in-8-12-0"]], "Changes in 8.12.1": [[17, "changes-in-8-12-1"]], "Changes in 8.12.2": [[17, "changes-in-8-12-2"]], "Version 8.11": [[17, "version-8-11"]], "Changes in 8.11+beta1": [[17, "changes-in-8-11-beta1"]], "Changes in 8.11.0": [[17, "changes-in-8-11-0"]], "Changes in 8.11.1": [[17, "changes-in-8-11-1"]], "Changes in 8.11.2": [[17, "changes-in-8-11-2"]], "Version 8.10": [[17, "version-8-10"]], "Other changes in 8.10+beta1": [[17, "other-changes-in-8-10-beta1"]], "Changes in 8.10+beta2": [[17, "changes-in-8-10-beta2"]], "Changes in 8.10+beta3": [[17, "changes-in-8-10-beta3"]], "Changes in 8.10.0": [[17, "changes-in-8-10-0"]], "Changes in 8.10.1": [[17, "changes-in-8-10-1"]], "Changes in 8.10.2": [[17, "changes-in-8-10-2"]], "Version 8.9": [[17, "version-8-9"]], "Details of changes in 8.9+beta1": [[17, "details-of-changes-in-8-9-beta1"]], "Changes in 8.8.0": [[17, "changes-in-8-8-0"]], "Changes in 8.8.1": [[17, "changes-in-8-8-1"]], "Version 8.8": [[17, "version-8-8"]], "Details of changes in 8.8+beta1": [[17, "details-of-changes-in-8-8-beta1"]], "Details of changes in 8.8.0": [[17, "details-of-changes-in-8-8-0"]], "Details of changes in 8.8.1": [[17, "details-of-changes-in-8-8-1"]], "Details of changes in 8.8.2": [[17, "details-of-changes-in-8-8-2"]], "Version 8.7": [[17, "version-8-7"]], "Potential compatibility issues": [[17, "potential-compatibility-issues"]], "Details of changes in 8.7+beta1": [[17, "details-of-changes-in-8-7-beta1"]], "Details of changes in 8.7+beta2": [[17, "details-of-changes-in-8-7-beta2"]], "Details of changes in 8.7.0": [[17, "details-of-changes-in-8-7-0"]], "Details of changes in 8.7.1": [[17, "details-of-changes-in-8-7-1"]], "Details of changes in 8.7.2": [[17, "details-of-changes-in-8-7-2"]], "Version 8.6": [[17, "version-8-6"]], "Potential sources of incompatibilities": [[17, "potential-sources-of-incompatibilities"], [17, "id2176"], [17, "id2179"]], "Details of changes in 8.6beta1": [[17, "details-of-changes-in-8-6beta1"]], "Details of changes in 8.6": [[17, "details-of-changes-in-8-6"]], "Details of changes in 8.6.1": [[17, "details-of-changes-in-8-6-1"]], "Version 8.5": [[17, "version-8-5"]], "Details of changes in 8.5beta1": [[17, "details-of-changes-in-8-5beta1"]], "Details of changes in 8.5beta2": [[17, "details-of-changes-in-8-5beta2"]], "Details of changes in 8.5beta3": [[17, "details-of-changes-in-8-5beta3"]], "Details of changes in 8.5": [[17, "details-of-changes-in-8-5"]], "Details of changes in 8.5pl1": [[17, "details-of-changes-in-8-5pl1"]], "Details of changes in 8.5pl2": [[17, "details-of-changes-in-8-5pl2"]], "Details of changes in 8.5pl3": [[17, "details-of-changes-in-8-5pl3"]], "Version 8.4": [[17, "version-8-4"]], "Details of changes in 8.4beta": [[17, "details-of-changes-in-8-4beta"]], "Details of changes in 8.4beta2": [[17, "details-of-changes-in-8-4beta2"]], "Details of changes in 8.4": [[17, "details-of-changes-in-8-4"]], "Version 8.3": [[17, "version-8-3"]], "Details of changes": [[17, "details-of-changes"], [17, "id2182"], [24, "details-of-changes"]], "Version 8.2": [[17, "version-8-2"]], "Version 8.1": [[17, "version-8-1"]], "Details of changes in 8.1beta": [[17, "details-of-changes-in-8-1beta"]], "Details of changes in 8.1gamma": [[17, "details-of-changes-in-8-1gamma"]], "Details of changes in 8.1": [[17, "details-of-changes-in-8-1"]], "Version 8.0": [[17, "version-8-0"]], "Details of changes in 8.0beta old syntax": [[17, "details-of-changes-in-8-0beta-old-syntax"]], "Details of changes in 8.0beta new syntax": [[17, "details-of-changes-in-8-0beta-new-syntax"]], "Details of changes in 8.0": [[17, "details-of-changes-in-8-0"]], "Attribute index": [[18, "attribute-index"]], "Command index": [[19, "command-index"]], "Errors and warnings index": [[20, "errors-and-warnings-index"]], "Flags, options and tables index": [[21, "flags-options-and-tables-index"]], "Tactic index": [[22, "tactic-index"]], "General index": [[23, "general-index"]], "Early history of Coq": [[24, "early-history-of-coq"]], "Historical roots": [[24, "historical-roots"]], "Versions 1 to 5": [[24, "versions-1-to-5"]], "Version 1": [[24, "version-1"]], "Version 2": [[24, "version-2"]], "Version 3": [[24, "version-3"]], "Version 4": [[24, "version-4"]], "Version 5": [[24, "version-5"]], "Versions 6": [[24, "versions-6"]], "Version 6.1": [[24, "version-6-1"]], "Version 6.2": [[24, "version-6-2"]], "Version 6.3": [[24, "version-6-3"]], "Versions 7": [[24, "versions-7"]], "Details of changes in 7.0 and 7.1": [[24, "details-of-changes-in-7-0-and-7-1"]], "Main novelties": [[24, "main-novelties"]], "Language: new \"let-in\" construction": [[24, "language-new-let-in-construction"]], "Language: long names": [[24, "language-long-names"]], "Language: miscellaneous": [[24, "language-miscellaneous"]], "Language: Cases": [[24, "language-cases"]], "Reduction": [[24, "reduction"], [37, "reduction"], [55, "reduction"]], "New tactics": [[24, "new-tactics"]], "Changes in existing tactics": [[24, "changes-in-existing-tactics"]], "Efficiency": [[24, "efficiency"]], "Concrete syntax of constructions": [[24, "concrete-syntax-of-constructions"]], "Parsing and grammar extension": [[24, "parsing-and-grammar-extension"]], "New commands": [[24, "new-commands"]], "Changes in existing commands": [[24, "changes-in-existing-commands"]], "New user contributions": [[24, "new-user-contributions"]], "Details of changes in 7.2": [[24, "details-of-changes-in-7-2"]], "Details of changes in 7.3": [[24, "details-of-changes-in-7-3"]], "Changes in 7.3.1": [[24, "changes-in-7-3-1"]], "Details of changes in 7.4": [[24, "details-of-changes-in-7-4"]], "Introduction and Contents": [[25, "introduction-and-contents"]], "Contents": [[25, "contents"]], "Specification language": [[25, null]], "Proofs": [[25, null]], "Using the Rocq Prover": [[25, null]], "Appendix": [[25, null]], "Typing rules": [[26, "typing-rules"], [26, "id4"]], "The terms": [[26, "the-terms"]], "Subtyping rules": [[26, "subtyping-rules"]], "The Calculus of Inductive Constructions with impredicative Set": [[26, "the-calculus-of-inductive-constructions-with-impredicative-set"]], "The Coq libraries": [[27, "the-coq-libraries"]], "The prelude": [[27, "the-prelude"]], "Logic": [[27, "logic"]], "Propositional Connectives": [[27, "propositional-connectives"]], "Quantifiers": [[27, "quantifiers"]], "Equality": [[27, "equality"]], "Lemmas": [[27, "lemmas"]], "Datatypes": [[27, "datatypes"]], "Programming": [[27, "programming"]], "Specification": [[27, "specification"]], "Basic Arithmetic": [[27, "basic-arithmetic"]], "Well-founded recursion": [[27, "well-founded-recursion"]], "Users\u2019 contributions": [[27, "users-contributions"]], "Functions and assumptions": [[28, "functions-and-assumptions"]], "Binders": [[28, "binders"]], "Functions (fun) and function types (forall)": [[28, "functions-fun-and-function-types-forall"]], "Function application": [[28, "function-application"]], "Assumptions": [[28, "assumptions"]], "Example: Simple assumptions": [[28, null]], "Basic notions and conventions": [[29, "basic-notions-and-conventions"]], "Syntax and lexical conventions": [[29, "syntax-and-lexical-conventions"]], "Syntax conventions": [[29, "syntax-conventions"]], "Lexical conventions": [[29, "lexical-conventions"]], "Example: Stack overflow with nat": [[29, null]], "Essential vocabulary": [[29, "essential-vocabulary"]], "Attributes": [[29, "attributes"]], "Generic attributes": [[29, "generic-attributes"]], "Document-level attributes": [[29, "document-level-attributes"]], "Flags, Options and Tables": [[29, "flags-options-and-tables"]], "Locality attributes supported by Set and Unset": [[29, "locality-attributes-supported-by-set-and-unset"]], "Coinductive types and corecursive functions": [[30, "coinductive-types-and-corecursive-functions"]], "Coinductive types": [[30, "coinductive-types"]], "Caveat": [[30, "caveat"]], "Co-recursive functions: cofix": [[30, "co-recursive-functions-cofix"]], "Top-level definitions of corecursive functions": [[30, "top-level-definitions-of-corecursive-functions"]], "Conversion rules": [[31, "conversion-rules"]], "\u03b1-conversion": [[31, "conversion"]], "\u03b2-reduction": [[31, "reduction"]], "\u03b4-reduction": [[31, "delta-reduction-sect"]], "\u03b9-reduction": [[31, "id4"]], "\u03b6-reduction": [[31, "id6"]], "\u03b7-expansion": [[31, "expansion"]], "Example: Simple delta, fix, beta and match reductions": [[31, null]], "Proof Irrelevance": [[31, "proof-irrelevance"]], "Convertibility": [[31, "convertibility"]], "Let-in definitions": [[32, "let-in-definitions"]], "Type cast": [[32, "type-cast"]], "Top-level definitions": [[32, "top-level-definitions"]], "Assertions and proofs": [[32, "assertions-and-proofs"]], "Core language": [[33, "core-language"]], "Inductive types and recursive functions": [[34, "inductive-types-and-recursive-functions"]], "Inductive types": [[34, "inductive-types"]], "Simple inductive types": [[34, "simple-inductive-types"]], "Automatic Prop lowering": [[34, "automatic-prop-lowering"]], "Simple indexed inductive types": [[34, "simple-indexed-inductive-types"]], "Parameterized inductive types": [[34, "parameterized-inductive-types"]], "Mutually defined inductive types": [[34, "mutually-defined-inductive-types"]], "Example: Mutually defined inductive types": [[34, null]], "Recursive functions: fix": [[34, "recursive-functions-fix"]], "Top-level recursive functions": [[34, "top-level-recursive-functions"]], "Example: Mutual fixpoints": [[34, null]], "Theory of inductive definitions": [[34, "theory-of-inductive-definitions"]], "Types of inductive objects": [[34, "types-of-inductive-objects"]], "Well-formed inductive definitions": [[34, "well-formed-inductive-definitions"]], "Arity of a given sort": [[34, "arity-of-a-given-sort"]], "Arity": [[34, "arity"]], "Type of constructor": [[34, "type-of-constructor"]], "Positivity Condition": [[34, "positivity-condition"]], "Strict positivity": [[34, "strict-positivity"]], "Nested Positivity": [[34, "nested-positivity"]], "Correctness rules": [[34, "correctness-rules"]], "Example: Negative occurrence (first example)": [[34, null]], "Example: Negative occurrence (second example)": [[34, null]], "Example: Non strictly positive occurrence": [[34, null]], "Template polymorphism": [[34, "template-polymorphism"]], "Destructors": [[34, "destructors"]], "The match ... with ... end construction": [[34, "the-match-with-end-construction"]], "Fixpoint definitions": [[34, "fixpoint-definitions"]], "Typing rule": [[34, "id10"]], "Reduction rule": [[34, "reduction-rule"]], "The Module System": [[35, "the-module-system"]], "Modules and module types": [[35, "modules-and-module-types"]], "Using modules": [[35, "using-modules"]], "Example: Defining a simple module interactively": [[35, null]], "Example: Defining a simple module type interactively": [[35, "example-def-simple-module-type"]], "Example: Creating a new module that omits some items from an existing module": [[35, "example-filter-module"]], "Example: Creating a functor (a module with parameters)": [[35, null]], "Example: A module type with two sub-modules, sharing some fields": [[35, null]], "Qualified names": [[35, "qualified-names"]], "Controlling the scope of commands with locality attributes": [[35, "controlling-the-scope-of-commands-with-locality-attributes"]], "Summary of locality attributes in a module": [[35, "summary-of-locality-attributes-in-a-module"]], "Typing Modules": [[35, "typing-modules"]], "Primitive objects": [[36, "primitive-objects"]], "Primitive Integers": [[36, "primitive-integers"]], "Primitive Floats": [[36, "primitive-floats"]], "Primitive Arrays": [[36, "primitive-arrays"]], "Primitive (Byte-Based) Strings": [[36, "primitive-byte-based-strings"]], "Record types": [[37, "record-types"]], "Defining record types": [[37, "defining-record-types"]], "Example: Defining a record": [[37, null]], "Example: Reusing a field name in multiple records": [[37, null]], "Example: Using the \"as\" clause in a record definition": [[37, null]], "Example: Argument name for a record type created using Class": [[37, null]], "Constructing records": [[37, "constructing-records"]], "Example: Constructing 1/2 as a record": [[37, null]], "Accessing fields (projections)": [[37, "accessing-fields-projections"]], "Example: Accessing record fields": [[37, null]], "Example: Matching on records": [[37, null]], "Example: Accessing anonymous record fields with match": [[37, null]], "Settings for printing records": [[37, "settings-for-printing-records"]], "Primitive Projections": [[37, "primitive-projections"]], "Compatibility Constants for Projections": [[37, "compatibility-constants-for-projections"]], "Sections": [[38, "sections"], [75, "sections"]], "Using sections": [[38, "using-sections"]], "Example: Section-local declarations": [[38, "section-local-declarations"]], "Summary of locality attributes in a section": [[38, "summary-of-locality-attributes-in-a-section"]], "Typing rules used at the end of a section": [[38, "typing-rules-used-at-the-end-of-a-section"]], "Sorts": [[39, "sorts"]], "Variants and the match construct": [[40, "variants-and-the-match-construct"]], "Variants": [[40, "id1"]], "Private (matching) inductive types": [[40, "private-matching-inductive-types"]], "Definition by cases: match": [[40, "definition-by-cases-match"]], "Setting properties of a function's arguments": [[41, "setting-properties-of-a-function-s-arguments"]], "Manual declaration of implicit arguments": [[41, "manual-declaration-of-implicit-arguments"]], "Example: Multiple alternatives with implicits_alt": [[41, "example-more-implicits"]], "Automatic declaration of implicit arguments": [[41, "automatic-declaration-of-implicit-arguments"]], "Example: Default implicits": [[41, null]], "Renaming implicit arguments": [[41, "renaming-implicit-arguments"]], "Example: (continued)  Renaming implicit arguments": [[41, null]], "Binding arguments to scopes": [[41, "binding-arguments-to-scopes"]], "Effects of Arguments on unfolding": [[41, "effects-of-arguments-on-unfolding"]], "Bidirectionality hints": [[41, "bidirectionality-hints"]], "Example: Bidirectionality hints": [[41, null]], "Canonical Structures": [[42, "canonical-structures"]], "Declaration of canonical structures": [[42, "declaration-of-canonical-structures"]], "Notation overloading": [[42, "notation-overloading"]], "Derived Canonical Structures": [[42, "derived-canonical-structures"]], "Hierarchy of structures": [[42, "hierarchy-of-structures"]], "Compact declaration of Canonical Structures": [[42, "compact-declaration-of-canonical-structures"]], "Existential variables": [[43, "existential-variables"]], "Inferable subterms": [[43, "inferable-subterms"]], "e* tactics that can create existential variables": [[43, "e-tactics-that-can-create-existential-variables"]], "Example: apply vs eapply": [[43, null]], "Automatic resolution of existential variables": [[43, "automatic-resolution-of-existential-variables"]], "Example: Automatic resolution of existential variables": [[43, "automatic-evar-resolution"]], "Explicit display of existential instances for pretty-printing": [[43, "explicit-display-of-existential-instances-for-pretty-printing"]], "Solving existential variables using tactics": [[43, "solving-existential-variables-using-tactics"]], "Implicit arguments": [[44, "implicit-arguments"]], "The different kinds of implicit arguments": [[44, "the-different-kinds-of-implicit-arguments"]], "Implicit arguments inferable from the knowledge of other arguments of a function": [[44, "implicit-arguments-inferable-from-the-knowledge-of-other-arguments-of-a-function"]], "Implicit arguments inferable by resolution": [[44, "implicit-arguments-inferable-by-resolution"]], "Maximal and non-maximal insertion of implicit arguments": [[44, "maximal-and-non-maximal-insertion-of-implicit-arguments"]], "Trailing Implicit Arguments": [[44, "trailing-implicit-arguments"]], "Casual use of implicit arguments": [[44, "casual-use-of-implicit-arguments"]], "Declaration of implicit arguments": [[44, "declaration-of-implicit-arguments"]], "Implicit Argument Binders": [[44, "implicit-argument-binders"]], "Mode for automatic declaration of implicit arguments": [[44, "mode-for-automatic-declaration-of-implicit-arguments"]], "Controlling strict implicit arguments": [[44, "controlling-strict-implicit-arguments"]], "Controlling contextual implicit arguments": [[44, "controlling-contextual-implicit-arguments"]], "Controlling reversible-pattern implicit arguments": [[44, "controlling-reversible-pattern-implicit-arguments"]], "Controlling the insertion of implicit arguments not followed by explicit arguments": [[44, "controlling-the-insertion-of-implicit-arguments-not-followed-by-explicit-arguments"]], "Combining manual declaration and automatic declaration": [[44, "combining-manual-declaration-and-automatic-declaration"]], "Explicit applications": [[44, "explicit-applications"]], "Example: Syntax for explicitly giving implicit arguments (continued)": [[44, null]], "Displaying implicit arguments": [[44, "displaying-implicit-arguments"]], "Displaying implicit arguments when pretty-printing": [[44, "displaying-implicit-arguments-when-pretty-printing"]], "Interaction with subtyping": [[44, "interaction-with-subtyping"]], "Deactivation of implicit arguments for parsing": [[44, "deactivation-of-implicit-arguments-for-parsing"]], "Implicit types of variables": [[44, "implicit-types-of-variables"]], "Implicit generalization": [[44, "implicit-generalization"]], "Language extensions": [[45, "language-extensions"]], "Extended pattern matching": [[46, "extended-pattern-matching"]], "Variants and extensions of match": [[46, "variants-and-extensions-of-match"]], "Multiple and nested pattern matching": [[46, "multiple-and-nested-pattern-matching"]], "Pattern-matching on boolean values: the if expression": [[46, "pattern-matching-on-boolean-values-the-if-expression"]], "Irrefutable patterns: the destructuring let variants": [[46, "irrefutable-patterns-the-destructuring-let-variants"]], "First destructuring let syntax": [[46, "first-destructuring-let-syntax"]], "Second destructuring let syntax": [[46, "second-destructuring-let-syntax"]], "Controlling pretty-printing of match expressions": [[46, "controlling-pretty-printing-of-match-expressions"]], "Printing nested patterns": [[46, "printing-nested-patterns"]], "Factorization of clauses with same right-hand side": [[46, "factorization-of-clauses-with-same-right-hand-side"]], "Use of a default clause": [[46, "use-of-a-default-clause"]], "Printing of wildcard patterns": [[46, "printing-of-wildcard-patterns"]], "Printing of the elimination predicate": [[46, "printing-of-the-elimination-predicate"]], "Printing of hidden subterms": [[46, "printing-of-hidden-subterms"]], "Printing matching on irrefutable patterns": [[46, "printing-matching-on-irrefutable-patterns"]], "Printing matching on booleans": [[46, "printing-matching-on-booleans"]], "Conventions about unused pattern-matching variables": [[46, "conventions-about-unused-pattern-matching-variables"]], "Patterns": [[46, "patterns"]], "Multiple patterns": [[46, "multiple-patterns"]], "Aliasing subpatterns": [[46, "aliasing-subpatterns"]], "Nested patterns": [[46, "nested-patterns"]], "Disjunctive patterns": [[46, "disjunctive-patterns"]], "About patterns of parametric types": [[46, "about-patterns-of-parametric-types"]], "Parameters in patterns": [[46, "parameters-in-patterns"]], "Implicit arguments in patterns": [[46, "implicit-arguments-in-patterns"]], "Matching objects of dependent types": [[46, "matching-objects-of-dependent-types"]], "Understanding dependencies in patterns": [[46, "understanding-dependencies-in-patterns"]], "When the elimination predicate must be provided": [[46, "when-the-elimination-predicate-must-be-provided"]], "Dependent pattern matching": [[46, "dependent-pattern-matching"]], "Multiple dependent pattern matching": [[46, "multiple-dependent-pattern-matching"]], "Patterns in in": [[46, "patterns-in-in"]], "Using pattern matching to write proofs": [[46, "using-pattern-matching-to-write-proofs"]], "Pattern-matching on inductive objects involving local definitions": [[46, "pattern-matching-on-inductive-objects-involving-local-definitions"]], "Pattern-matching and coercions": [[46, "pattern-matching-and-coercions"]], "When does the expansion strategy fail?": [[46, "when-does-the-expansion-strategy-fail"]], "The Rocq Prover commands": [[51, "the-rocq-prover-commands"]], "Interactive use (rocq repl)": [[51, "interactive-use-rocq-repl"]], "Batch compilation (rocq compile)": [[51, "batch-compilation-rocq-compile"]], "Example: Compiling and loading a single file": [[51, null]], "Customization at launch time": [[51, "customization-at-launch-time"]], "Command parameters": [[51, "command-parameters"]], "coqrc start up script": [[51, "coqrc-start-up-script"]], "Environment variables": [[51, "environment-variables"]], "Command line options": [[51, "command-line-options"], [75, "command-line-options"]], "Profiling": [[51, "profiling"], [55, "profiling"]], "Compiled interfaces (produced using -vos)": [[51, "compiled-interfaces-produced-using-vos"]], "Compiled libraries checker (rocqchk)": [[51, "compiled-libraries-checker-rocqchk"]], "Managing files and buffers, basic editing": [[52, "managing-files-and-buffers-basic-editing"]], "Running Coq scripts": [[52, "running-coq-scripts"]], "Asynchronous mode": [[52, "asynchronous-mode"]], "Commands and templates": [[52, "commands-and-templates"]], "Queries": [[52, "queries"]], "Compilation": [[52, "compilation"]], "Customizations": [[52, "customizations"]], "Preferences": [[52, "preferences"]], "Key bindings": [[52, "key-bindings"]], "Using Unicode symbols": [[52, "using-unicode-symbols"]], "Displaying Unicode symbols": [[52, "displaying-unicode-symbols"]], "Bindings for input of Unicode symbols": [[52, "bindings-for-input-of-unicode-symbols"]], "Adding custom bindings": [[52, "adding-custom-bindings"]], "Character encoding for saved files": [[52, "character-encoding-for-saved-files"]], "Debugger": [[52, "debugger"]], "Breakpoints": [[52, "breakpoints"]], "Call Stack and Variables": [[52, "call-stack-and-variables"]], "Supported use cases": [[52, "supported-use-cases"]], "Building Rocq Projects": [[53, "building-rocq-projects"]], "Rocq configuration basics": [[53, "rocq-configuration-basics"]], "Installing the Rocq Prover and Rocq packages with opam": [[53, "installing-the-rocq-prover-and-rocq-packages-with-opam"]], "Setup for working on your own projects": [[53, "setup-for-working-on-your-own-projects"]], "Building a project with _CoqProject (overview)": [[53, "building-a-project-with-coqproject-overview"]], "Logical paths and the load path": [[53, "logical-paths-and-the-load-path"]], "Modifying multiple interdependent projects at the same time": [[53, "modifying-multiple-interdependent-projects-at-the-same-time"]], "Installed and uninstalled packages": [[53, "installed-and-uninstalled-packages"]], "Upgrading to a new version of Rocq": [[53, "upgrading-to-a-new-version-of-rocq"]], "Building a Rocq project with rocq makefile (details)": [[53, "building-a-rocq-project-with-rocq-makefile-details"]], "Comments": [[53, "comments"]], "Quoting arguments to rocq c": [[53, "quoting-arguments-to-rocq-c"]], "Forbidden filenames": [[53, "forbidden-filenames"]], "Warning: No common logical root": [[53, "warning-no-common-logical-root"]], "CoqMakefile.local": [[53, "coqmakefile-local"]], "CoqMakefile.local-late": [[53, "coqmakefile-local-late"]], "Timing targets and performance testing": [[53, "timing-targets-and-performance-testing"]], "Building a subset of the targets with -j": [[53, "building-a-subset-of-the-targets-with-j"]], "Precompiling for native_compute": [[53, "precompiling-for-native-compute"]], "The grammar of _CoqProject": [[53, "the-grammar-of-coqproject"]], "Building a Rocq project with Dune": [[53, "building-a-rocq-project-with-dune"]], "rocq dep: Computing Module dependencies": [[53, "rocq-dep-computing-module-dependencies"]], "Split compilation of native computation files": [[53, "split-compilation-of-native-computation-files"]], "Using Rocq as a library": [[53, "using-rocq-as-a-library"]], "Embedded Rocq phrases inside LaTeX documents": [[53, "embedded-rocq-phrases-inside-latex-documents"]], "Man pages": [[53, "man-pages"]], "Ltac": [[54, "ltac"]], "Example: Basic tactic macros": [[54, null]], "Defects": [[54, "defects"]], "Syntax": [[54, "syntax"], [55, "syntax"], [57, "syntax"], [71, "syntax"]], "Values": [[54, "values"]], "Syntactic values": [[54, "syntactic-values"]], "Substitution": [[54, "substitution"]], "Example: Substitution of global and local symbols": [[54, null]], "Local definitions: let": [[54, "local-definitions-let"]], "Function construction and application": [[54, "function-construction-and-application"]], "Tactics in terms": [[54, "tactics-in-terms"]], "Goal selectors": [[54, "goal-selectors"]], "Example: Selector reordering goals": [[54, "reordering-goals-ex"]], "Processing multiple goals": [[54, "processing-multiple-goals"]], "Example: Multiple focused goals": [[54, null]], "Branching and backtracking": [[54, "branching-and-backtracking"]], "Example: Backtracking": [[54, null]], "Control flow": [[54, "control-flow"], [57, "control-flow"]], "Sequence: ;": [[54, "sequence"]], "Do loop": [[54, "do-loop"]], "Repeat loop": [[54, "repeat-loop"]], "Catching errors: try": [[54, "catching-errors-try"]], "Conditional branching: tryif": [[54, "conditional-branching-tryif"]], "Alternatives": [[54, "alternatives"]], "Branching with backtracking: +": [[54, "branching-with-backtracking"]], "Example: Backtracking branching with +": [[54, null]], "Local application of tactics: [> ... ]": [[54, "local-application-of-tactics"]], "First tactic to succeed": [[54, "first-tactic-to-succeed"]], "Example: Backtracking inside a non-backtracking construct": [[54, null]], "Example: Referring to a list of tactics in Tactic Notation": [[54, null]], "Solving": [[54, "solving"]], "First tactic to make progress: ||": [[54, "first-tactic-to-make-progress"]], "Detecting progress": [[54, "detecting-progress"]], "Success and failure": [[54, "success-and-failure"]], "Checking for success: assert_succeeds": [[54, "checking-for-success-assert-succeeds"]], "Checking for failure: assert_fails": [[54, "checking-for-failure-assert-fails"]], "Failing": [[54, "failing"]], "Soft cut: once": [[54, "soft-cut-once"]], "Checking for a single success: exactly_once": [[54, "checking-for-a-single-success-exactly-once"]], "Manipulating values": [[54, "manipulating-values"]], "Pattern matching on terms: match": [[54, "pattern-matching-on-terms-match"]], "Example: Comparison of lazymatch and match": [[54, null]], "Example: Comparison of match and multimatch": [[54, null]], "Example: Matching a pattern with holes": [[54, null]], "Example: Multiple matches for a \"context\" pattern.": [[54, null]], "Pattern matching on goals and hypotheses: match goal": [[54, "pattern-matching-on-goals-and-hypotheses-match-goal"]], "Example: Matching hypotheses": [[54, null]], "Example: Matching hypotheses with reverse": [[54, null], [55, "ltac2-match-goal-hyps-rev-ex"]], "Example: Multiple ways to match hypotheses": [[54, null]], "Filling a term context": [[54, "filling-a-term-context"]], "Example: Substituting a matched context": [[54, null]], "Generating fresh hypothesis names": [[54, "generating-fresh-hypothesis-names"]], "Computing in a term: eval": [[54, "computing-in-a-term-eval"]], "Getting the type of a term": [[54, "getting-the-type-of-a-term"]], "Manipulating untyped terms: type_term": [[54, "manipulating-untyped-terms-type-term"]], "Counting goals: numgoals": [[54, "counting-goals-numgoals"]], "Testing boolean expressions: guard": [[54, "testing-boolean-expressions-guard"]], "Example: guard": [[54, null]], "Checking properties of terms": [[54, "checking-properties-of-terms"]], "Example: is_fix": [[54, null]], "Example: is_cofix": [[54, null]], "Example: is_proj": [[54, null]], "Timing": [[54, "timing"]], "Timeout": [[54, "timeout"]], "Timing a tactic": [[54, "timing-a-tactic"]], "Timing a tactic that evaluates to a term: time_constr": [[54, "timing-a-tactic-that-evaluates-to-a-term-time-constr"]], "Print/identity tactic: idtac": [[54, "print-identity-tactic-idtac"]], "Tactic toplevel definitions": [[54, "tactic-toplevel-definitions"]], "Defining Ltac symbols": [[54, "defining-ltac-symbols"]], "Printing Ltac tactics": [[54, "printing-ltac-tactics"]], "Examples of using Ltac": [[54, "examples-of-using-ltac"]], "Proof that the natural numbers have at least two elements": [[54, "proof-that-the-natural-numbers-have-at-least-two-elements"]], "Example: Proof that the natural numbers have at least two elements": [[54, null]], "Proving that a list is a permutation of a second list": [[54, "proving-that-a-list-is-a-permutation-of-a-second-list"]], "Example: Proving that a list is a permutation of a second list": [[54, null]], "Deciding intuitionistic propositional logic": [[54, "deciding-intuitionistic-propositional-logic"]], "Deciding type isomorphisms": [[54, "deciding-type-isomorphisms"]], "Debugging Ltac tactics": [[54, "debugging-ltac-tactics"]], "Backtraces": [[54, "backtraces"]], "Tracing execution": [[54, "tracing-execution"]], "Interactive debugger": [[54, "interactive-debugger"]], "Profiling Ltac tactics": [[54, "profiling-ltac-tactics"]], "Run-time optimization tactic": [[54, "run-time-optimization-tactic"]], "Ltac2": [[55, "ltac2"]], "General design": [[55, "general-design"]], "ML component": [[55, "ml-component"]], "Overview": [[55, "overview"], [55, "id3"]], "Type Syntax": [[55, "type-syntax"]], "Type declarations": [[55, "type-declarations"]], "APIs": [[55, "apis"]], "Term Syntax": [[55, "term-syntax"]], "Ltac2 Definitions": [[55, "ltac2-definitions"]], "Example: Dynamic nature of mutable cells": [[55, null]], "Example: Interaction with recursive calls": [[55, null]], "Printing Ltac2 tactics": [[55, "printing-ltac2-tactics"]], "Typing": [[55, "typing"]], "Effects": [[55, "effects"]], "Standard IO": [[55, "standard-io"]], "Fatal errors": [[55, "fatal-errors"]], "Backtracking": [[55, "backtracking"], [59, "backtracking"]], "Goals": [[55, "goals"]], "Meta-programming": [[55, "meta-programming"]], "Quotations": [[55, "quotations"]], "Built-in quotations": [[55, "built-in-quotations"]], "Strict vs. non-strict mode": [[55, "strict-vs-non-strict-mode"]], "Term Antiquotations": [[55, "term-antiquotations"]], "Semantics": [[55, "semantics"]], "Static semantics": [[55, "static-semantics"]], "Dynamic semantics": [[55, "dynamic-semantics"]], "Match over terms": [[55, "match-over-terms"]], "Example: Ltac2 Comparison of lazy_match! and match!": [[55, "ltac2-match-vs-lazymatch-ex"]], "Example: Ltac2 Comparison of match! and multi_match!": [[55, "ltac2-match-vs-multimatch-ex"]], "Example: Ltac2 Multiple matches for a \"context\" pattern.": [[55, "ltac2-match-term-context-ex"]], "Match over goals": [[55, "match-over-goals"]], "Example: Ltac2 Matching hypotheses": [[55, "ltac2-match-goal-hyps-ex"]], "Example: Multiple ways to match a hypotheses": [[55, "ltac2-match-goal-multiple-hyps-ex"]], "Match on values": [[55, "match-on-values"]], "Example: Printing a term": [[55, null]], "Example: Parsing a list of terms": [[55, null]], "Abbreviations": [[55, "abbreviations"], [57, "abbreviations"], [71, "abbreviations"]], "Defining tactics": [[55, "defining-tactics"]], "Syntactic classes": [[55, "syntactic-classes"]], "Evaluation": [[55, "evaluation"]], "Debug": [[55, "debug"]], "Compatibility layer with Ltac1": [[55, "compatibility-layer-with-ltac1"]], "Ltac1 from Ltac2": [[55, "ltac1-from-ltac2"]], "Simple API": [[55, "simple-api"]], "Low-level API": [[55, "low-level-api"]], "Ltac2 from Ltac1": [[55, "ltac2-from-ltac1"]], "Switching between Ltac languages": [[55, "switching-between-ltac-languages"]], "Transition from Ltac1": [[55, "transition-from-ltac1"]], "Syntax changes": [[55, "syntax-changes"]], "Tactic delay": [[55, "tactic-delay"]], "Variable binding": [[55, "variable-binding"]], "In Ltac expressions": [[55, "in-ltac-expressions"]], "In quotations": [[55, "in-quotations"]], "Exception catching": [[55, "exception-catching"]], "The SSReflect proof language": [[57, "the-ssr-proof-language"]], "Introduction": [[57, "introduction"]], "Acknowledgments": [[57, "acknowledgments"]], "Getting started": [[57, "getting-started"]], "Compatibility issues": [[57, "compatibility-issues"]], "Gallina extensions": [[57, "gallina-extensions"]], "Pattern assignment": [[57, "pattern-assignment"]], "Pattern conditional": [[57, "pattern-conditional"]], "Parametric polymorphism": [[57, "parametric-polymorphism"]], "Anonymous arguments": [[57, "anonymous-arguments"]], "Wildcards": [[57, "wildcards"]], "Matching": [[57, "matching"]], "Occurrence selection": [[57, "occurrence-selection"]], "Basic localization": [[57, "basic-localization"]], "Basic tactics": [[57, "basic-tactics"]], "Bookkeeping": [[57, "bookkeeping"]], "The defective tactics": [[57, "the-defective-tactics"]], "The move tactic.": [[57, "the-move-tactic"]], "The case tactic": [[57, "the-case-tactic"]], "The elim tactic": [[57, "the-elim-tactic"]], "The apply tactic": [[57, "the-apply-tactic"]], "Discharge": [[57, "discharge"]], "Clear rules": [[57, "clear-rules"]], "Matching for apply and exact": [[57, "matching-for-apply-and-exact"]], "The abstract tactic": [[57, "the-abstract-tactic"]], "Introduction in the context": [[57, "introduction-in-the-context"]], "Simplification items": [[57, "simplification-items"]], "Views": [[57, "views"]], "Intro patterns": [[57, "intro-patterns"], [58, "intro-patterns"]], "Clear switch": [[57, "clear-switch"]], "Branching and destructuring": [[57, "branching-and-destructuring"]], "Block introduction": [[57, "block-introduction"]], "Generation of equations": [[57, "generation-of-equations"]], "Type families": [[57, "type-families"]], "Indentation and bullets": [[57, "indentation-and-bullets"]], "Terminators": [[57, "terminators"]], "Selectors": [[57, "selectors"]], "Iteration": [[57, "iteration"]], "Localization": [[57, "localization"]], "Structure": [[57, "structure"]], "The have tactic.": [[57, "the-have-tactic"]], "Generating let in context entries with have": [[57, "generating-let-in-context-entries-with-have"]], "The have tactic and typeclass resolution": [[57, "the-have-tactic-and-typeclass-resolution"]], "Variants: the suff and wlog tactics": [[57, "variants-the-suff-and-wlog-tactics"]], "Advanced generalization": [[57, "advanced-generalization"]], "Rewriting": [[57, "rewriting"]], "An extended rewrite tactic": [[57, "an-extended-rewrite-tactic"]], "Remarks and examples": [[57, "remarks-and-examples"]], "Rewrite redex selection": [[57, "rewrite-redex-selection"]], "Chained rewrite steps": [[57, "chained-rewrite-steps"]], "Explicit redex switches are matched first": [[57, "explicit-redex-switches-are-matched-first"]], "Occurrence switches and redex switches": [[57, "occurrence-switches-and-redex-switches"]], "Occurrence selection and repetition": [[57, "occurrence-selection-and-repetition"]], "Multi-rule rewriting": [[57, "multi-rule-rewriting"]], "Wildcards vs abstractions": [[57, "wildcards-vs-abstractions"]], "When SSReflect rewrite fails on standard Rocq licit rewrite": [[57, "when-ssr-rewrite-fails-on-standard-rocq-licit-rewrite"]], "Existential metavariables and rewriting": [[57, "existential-metavariables-and-rewriting"]], "The under tactic": [[57, "the-under-tactic"]], "The over tactic": [[57, "the-over-tactic"]], "One-liner mode": [[57, "one-liner-mode"]], "Locking, unlocking": [[57, "locking-unlocking"]], "Congruence": [[57, "congruence"]], "Contextual patterns": [[57, "contextual-patterns"]], "Matching contextual patterns": [[57, "matching-contextual-patterns"]], "Contextual pattern in set and the : tactical": [[57, "contextual-pattern-in-set-and-the-tactical"]], "Contextual patterns in rewrite": [[57, "contextual-patterns-in-rewrite"]], "Patterns for recurrent contexts": [[57, "patterns-for-recurrent-contexts"]], "Views and reflection": [[57, "views-and-reflection"]], "Interpreting eliminations": [[57, "interpreting-eliminations"]], "Interpreting assumptions": [[57, "interpreting-assumptions"], [57, "id16"]], "Specializing assumptions": [[57, "specializing-assumptions"], [57, "id15"]], "Interpreting goals": [[57, "interpreting-goals"], [57, "id17"]], "Boolean reflection": [[57, "boolean-reflection"]], "The reflect predicate": [[57, "the-reflect-predicate"]], "General mechanism for interpreting goals and assumptions": [[57, "general-mechanism-for-interpreting-goals-and-assumptions"]], "Interpreting equivalences": [[57, "interpreting-equivalences"]], "Declaring new Hint Views": [[57, "declaring-new-hint-views"]], "Multiple views": [[57, "multiple-views"]], "Additional view shortcuts": [[57, "additional-view-shortcuts"]], "Synopsis and Index": [[57, "synopsis-and-index"]], "Parameters": [[57, "parameters"]], "Items and switches": [[57, "items-and-switches"]], "Tacticals": [[57, "tacticals"]], "Common elements of tactics": [[58, "common-elements-of-tactics"]], "Reserved keywords": [[58, "reserved-keywords"]], "Invocation of tactics": [[58, "invocation-of-tactics"]], "Bindings": [[58, "bindings"]], "Example: intro pattern for /\\": [[58, null]], "Example: intro pattern for \\/": [[58, null]], "Example: -> intro pattern": [[58, null]], "Example: [=] intro pattern": [[58, null]], "Example: (A & B & \u2026) intro pattern": [[58, null]], "Example: * intro pattern": [[58, null]], "Example: ** pattern (\"intros **\" is equivalent to \"intros\")": [[58, null]], "Example: compound intro pattern": [[58, null]], "Example: combined intro pattern using [=] -> and %": [[58, null]], "Occurrence clauses": [[58, "occurrence-clauses"]], "Applying theorems": [[58, "applying-theorems"]], "Example: Backward reasoning in the goal with apply": [[58, "apply-backward"]], "Example: Backward reasoning in the goal with apply including a premise": [[58, "apply-backward-w-premises"]], "Example: Forward reasoning in hypotheses with apply": [[58, "apply-forward"]], "Example: Apply a theorem with a binding in a goal": [[58, "apply-with-binding-goal"]], "Example: Apply a theorem with a binding in a hypothesis": [[58, "apply-with-binding-hyp"]], "Example: Applying theorems with <->": [[58, "apply-with-iff"]], "Example: Special case of second-order unification in apply": [[58, "example-apply-pattern"]], "Managing the local context": [[58, "managing-the-local-context"]], "Example: intro and intros": [[58, "intro-examples"]], "Example: intros until": [[58, null]], "Example: move": [[58, null]], "Example: set with a simple_binder": [[58, null]], "Controlling the proof flow": [[58, "controlling-the-proof-flow"]], "Example: partial application in specialize": [[58, null]], "Example: specialize with a non-dependent product": [[58, null]], "Example: contradiction tactic": [[58, null]], "Classical tactics": [[58, "classical-tactics"]], "Performance-oriented tactic variants": [[58, "performance-oriented-tactic-variants"]], "Displaying": [[59, "displaying"]], "Query commands": [[59, "query-commands"]], "Example: Searching for a pattern": [[59, "search-pattern"]], "Example: Searching for part of an identifier": [[59, "search-part-ident"]], "Example: Searching for a reference by notation": [[59, "search-by-notation"]], "Example: Disambiguating between part of identifier and notation": [[59, "search-disambiguate-notation"]], "Example: Search in hypotheses": [[59, "search-hyp"]], "Example: Search in conclusion": [[59, "search-concl"]], "Example: Search by keyword or status": [[59, "search-by-keyword"]], "Example: SearchPattern examples": [[59, null]], "Example: SearchRewrite examples": [[59, null]], "Requests to the environment": [[59, "requests-to-the-environment"]], "Example: Locate examples": [[59, null]], "Printing flags": [[59, "printing-flags"]], "Loading files": [[59, "loading-files"]], "Compiled files": [[59, "compiled-files"]], "Load paths": [[59, "load-paths"]], "Extra Dependencies": [[59, "extra-dependencies"]], "Quitting and debugging": [[59, "quitting-and-debugging"]], "Controlling display": [[59, "controlling-display"]], "Printing constructions in full": [[59, "printing-constructions-in-full"]], "Controlling Typing Flags": [[59, "controlling-typing-flags"]], "Internal registration commands": [[59, "internal-registration-commands"]], "Exposing constants to OCaml libraries": [[59, "exposing-constants-to-ocaml-libraries"]], "Inlining hints for the fast reduction machines": [[59, "inlining-hints-for-the-fast-reduction-machines"]], "Registering primitive operations": [[59, "registering-primitive-operations"]], "Programmable proof search": [[60, "programmable-proof-search"]], "Example: Ackermann function": [[60, null]], "Example: MacCarthy function": [[60, null]], "Hint databases": [[60, "hint-databases"]], "Creating hint databases": [[60, "creating-hint-databases"]], "Hint databases defined in the Rocq standard library": [[60, "hint-databases-defined-in-the-rocq-standard-library"]], "Creating Hints": [[60, "creating-hints"]], "Example: Logic programming with addition on natural numbers": [[60, null]], "Hint locality": [[60, "hint-locality"]], "Setting implicit automation tactics": [[60, "setting-implicit-automation-tactics"]], "Automatic solvers and programmable tactics": [[61, "automatic-solvers-and-programmable-tactics"]], "Solvers for logic and equality": [[62, "solvers-for-logic-and-equality"]], "Creating new tactics": [[63, "creating-new-tactics"]], "Reasoning with equalities": [[64, "reasoning-with-equalities"]], "Tactics for simple equalities": [[64, "tactics-for-simple-equalities"]], "Rewriting with Leibniz and setoid equality": [[64, "rewriting-with-leibniz-and-setoid-equality"]], "Rewriting with definitional equality": [[64, "rewriting-with-definitional-equality"]], "Applying conversion rules": [[64, "applying-conversion-rules"]], "Example: fold doesn't always undo unfold": [[64, null]], "Example: Use fold to reverse unfolding of fold_right": [[64, null]], "Fast reduction tactics: vm_compute and native_compute": [[64, "fast-reduction-tactics-vm-compute-and-native-compute"]], "Computing in a term: eval and Eval": [[64, "computing-in-a-term-eval-and-eval"]], "Controlling reduction strategies and the conversion algorithm": [[64, "controlling-reduction-strategies-and-the-conversion-algorithm"]], "Basic proof writing": [[65, "basic-proof-writing"]], "Proof mode": [[66, "proof-mode"]], "Proof State": [[66, "proof-state"]], "Entering and exiting proof mode": [[66, "entering-and-exiting-proof-mode"]], "Example: Declaring section variables": [[66, null]], "Proof using options": [[66, "proof-using-options"]], "Name a set of section hypotheses for Proof using": [[66, "name-a-set-of-section-hypotheses-for-proof-using"]], "Proof modes": [[66, "proof-modes"]], "Managing goals": [[66, "managing-goals"]], "Focusing goals": [[66, "focusing-goals"]], "Curly braces": [[66, "curly-braces"]], "Example: Working with named goals": [[66, null]], "Bullets": [[66, "bullets"]], "Example: Use of bullets": [[66, null]], "Other focusing commands": [[66, "other-focusing-commands"]], "Shelving goals": [[66, "shelving-goals"]], "Example: shelve_unifiable": [[66, null]], "Reordering goals": [[66, "reordering-goals"]], "Example: cycle": [[66, null]], "Example: swap": [[66, null]], "Example: revgoals": [[66, null]], "Proving a subgoal as a separate lemma: abstract": [[66, "proving-a-subgoal-as-a-separate-lemma-abstract"]], "Requesting information": [[66, "requesting-information"]], "Showing differences between proof steps": [[66, "showing-differences-between-proof-steps"]], "How to enable diffs": [[66, "how-to-enable-diffs"]], "How diffs are calculated": [[66, "how-diffs-are-calculated"]], "\"Show Proof\" differences": [[66, "show-proof-differences"]], "Delaying solving unification constraints": [[66, "delaying-solving-unification-constraints"]], "Proof maintenance": [[66, "proof-maintenance"]], "Controlling proof mode": [[66, "controlling-proof-mode"]], "Controlling memory usage": [[66, "controlling-memory-usage"]], "Reasoning with inductive types": [[67, "reasoning-with-inductive-types"]], "Applying constructors": [[67, "applying-constructors"]], "Example: constructor, left and right": [[67, null]], "Case analysis": [[67, "case-analysis"]], "Example: Using destruct on an argument with premises": [[67, "example-destruct-ind-concl"]], "Induction": [[67, "induction"]], "Example: induction with occurrences": [[67, null]], "Equality of inductive types": [[67, "equality-of-inductive-types"]], "Example: Proving 1 <> 2": [[67, null]], "Example: discriminate limitation: proving n <> S n": [[67, null]], "Example: inversion with as or_and_intropattern": [[67, null]], "Example: Non-dependent inversion": [[67, null]], "Example: Dependent inversion": [[67, null]], "Example: Using inversion_sigma": [[67, null]], "Helper tactics": [[67, "helper-tactics"]], "Example: Using decide to rewrite the goal": [[67, null]], "Generation of induction principles with Scheme": [[67, "generation-of-induction-principles-with-scheme"]], "Example: Induction scheme for tree and forest": [[67, null]], "Example: Predicates odd and even on naturals": [[67, null]], "Example: Scheme commands with various scheme_types": [[67, null]], "Automatic declaration of schemes": [[67, "automatic-declaration-of-schemes"]], "Combined Scheme": [[67, "combined-scheme"]], "Generation of inversion principles with Derive Inversion": [[67, "generation-of-inversion-principles-with-derive-inversion"]], "Examples of dependent destruction / dependent induction": [[67, "examples-of-dependent-destruction-dependent-induction"]], "A larger example": [[67, "a-larger-example"]], "Glossary index": [[69, "glossary-index"]], "Syntax extensions and notation scopes": [[71, "syntax-extensions-and-notation-scopes"]], "Basic notations": [[71, "basic-notations"]], "Precedences and associativity": [[71, "precedences-and-associativity"]], "Complex notations": [[71, "complex-notations"]], "Simple factorization rules": [[71, "simple-factorization-rules"]], "Use of notations for printing": [[71, "use-of-notations-for-printing"]], "The Infix command": [[71, "the-infix-command"]], "Reserving notations": [[71, "reserving-notations"]], "Simultaneous definition of terms and notations": [[71, "simultaneous-definition-of-terms-and-notations"]], "Enabling and disabling notations": [[71, "enabling-and-disabling-notations"]], "Example: Enabling and disabling notations": [[71, null]], "Displaying information about notations": [[71, "displaying-information-about-notations"]], "Example: Print Notation": [[71, null]], "Locating notations": [[71, "locating-notations"]], "Inheritance of the properties of arguments of constants bound to a notation": [[71, "inheritance-of-the-properties-of-arguments-of-constants-bound-to-a-notation"]], "Notations and binders": [[71, "notations-and-binders"]], "Binders bound in the notation and parsed as identifiers": [[71, "binders-bound-in-the-notation-and-parsed-as-identifiers"]], "Binders bound in the notation and parsed as patterns": [[71, "binders-bound-in-the-notation-and-parsed-as-patterns"]], "Binders bound in the notation and parsed as terms": [[71, "binders-bound-in-the-notation-and-parsed-as-terms"]], "Binders bound in the notation and parsed as general binders": [[71, "binders-bound-in-the-notation-and-parsed-as-general-binders"]], "Binders not bound in the notation": [[71, "binders-not-bound-in-the-notation"]], "Notations with expressions used both as binder and term": [[71, "notations-with-expressions-used-both-as-binder-and-term"]], "Notations with recursive patterns": [[71, "notations-with-recursive-patterns"]], "Notations with recursive patterns involving binders": [[71, "notations-with-recursive-patterns-involving-binders"]], "Predefined entries": [[71, "predefined-entries"]], "Custom entries": [[71, "custom-entries"]], "Notation scopes": [[71, "notation-scopes"]], "Global interpretation rules for notations": [[71, "global-interpretation-rules-for-notations"]], "Local interpretation rules for notations": [[71, "local-interpretation-rules-for-notations"]], "Opening a notation scope locally": [[71, "opening-a-notation-scope-locally"]], "Binding types or coercion classes to notation scopes": [[71, "binding-types-or-coercion-classes-to-notation-scopes"]], "Example: Binding scopes to a type": [[71, null]], "The type_scope notation scope": [[71, "the-type-scope-notation-scope"]], "The function_scope notation scope": [[71, "the-function-scope-notation-scope"]], "Notation scopes used in the standard library of Rocq": [[71, "notation-scopes-used-in-the-standard-library-of-rocq"]], "Displaying information about scopes": [[71, "displaying-information-about-scopes"]], "Numbers and strings": [[71, "numbers-and-strings"]], "Number notations": [[71, "number-notations"]], "String notations": [[71, "string-notations"]], "Example: Number Notation for radix 3": [[71, null]], "Example: Number Notation for primitive integers": [[71, "example-number-notation-primitive-int"]], "Example: Number Notation for a non-inductive type": [[71, "example-number-notation-non-inductive"]], "Example: Number Notation with implicit arguments": [[71, "example-number-notation-implicit-args"]], "Example: String Notation with a parameterized inductive type": [[71, "example-string-notation-parameterized-inductive"]], "Tactic Notations": [[71, "tactic-notations"]], "Functional induction": [[72, "functional-induction"]], "Advanced recursive functions": [[72, "advanced-recursive-functions"]], "Generation of induction principles with Functional Scheme": [[72, "generation-of-induction-principles-with-functional-scheme"]], "Libraries and plugins": [[73, "libraries-and-plugins"]], "Writing Rocq libraries and plugins": [[74, "writing-rocq-libraries-and-plugins"]], "Deprecating library objects, tactics or library files": [[74, "deprecating-library-objects-tactics-or-library-files"]], "Triggering warning for library objects or library files": [[74, "triggering-warning-for-library-objects-or-library-files"]], "Example: Deprecating a tactic.": [[74, null]], "Example: Introducing a compatibility alias": [[74, "compatibility-alias"]], "Documenting Rocq files with rocq doc": [[75, "documenting-rocq-files-with-rocq-doc"]], "Principles": [[75, "principles"]], "Rocq material inside documentation.": [[75, "rocq-material-inside-documentation"]], "Pretty-printing.": [[75, "pretty-printing"]], "Lists.": [[75, "lists"]], "Rules.": [[75, "rules"]], "Emphasis.": [[75, "emphasis"]], "Escaping to LaTeX and HTML.": [[75, "escaping-to-latex-and-html"]], "Verbatim": [[75, "verbatim"]], "Hyperlinks": [[75, "hyperlinks"]], "Hiding / Showing parts of the source": [[75, "hiding-showing-parts-of-the-source"]], "The rocq doc LaTeX style file": [[75, "the-rocq-doc-latex-style-file"]], "Command-line and graphical tools": [[76, "command-line-and-graphical-tools"]], "Bibliography": [[77, "bibliography"]]}, "indexentries": {"cd (command)": [[2, "coq:cmd.Cd"]], "extract callback (command)": [[2, "coq:cmd.Extract-Callback"]], "extract callback is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Callback-is-supported-only-for-OCaml-extraction"]], "extract constant (command)": [[2, "coq:cmd.Extract-Constant"]], "extract foreign constant (command)": [[2, "coq:cmd.Extract-Foreign-Constant"]], "extract foreign constant is supported only for ocaml extraction (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-OCaml-extraction"]], "extract foreign constant is supported only for functions (error)": [[2, "coq:exn.Extract-Foreign-Constant-is-supported-only-for-functions"]], "extract inductive (command)": [[2, "coq:cmd.Extract-Inductive"]], "extract inlined constant (command)": [[2, "coq:cmd.Extract-Inlined-Constant"]], "extraction (command)": [[2, "coq:cmd.Extraction"]], "extraction autoinline (flag)": [[2, "coq:flag.Extraction-AutoInline"]], "extraction blacklist (command)": [[2, "coq:cmd.Extraction-Blacklist"]], "extraction conservative types (flag)": [[2, "coq:flag.Extraction-Conservative-Types"]], "extraction file comment (option)": [[2, "coq:opt.Extraction-File-Comment"]], "extraction flag (option)": [[2, "coq:opt.Extraction-Flag"]], "extraction implicit (command)": [[2, "coq:cmd.Extraction-Implicit"]], "extraction inline (command)": [[2, "coq:cmd.Extraction-Inline"]], "extraction keepsingleton (flag)": [[2, "coq:flag.Extraction-KeepSingleton"]], "extraction language (command)": [[2, "coq:cmd.Extraction-Language"]], "extraction library (command)": [[2, "coq:cmd.Extraction-Library"]], "extraction noinline (command)": [[2, "coq:cmd.Extraction-NoInline"]], "extraction optimize (flag)": [[2, "coq:flag.Extraction-Optimize"]], "extraction output directory (option)": [[2, "coq:opt.Extraction-Output-Directory"]], "extraction safeimplicits (flag)": [[2, "coq:flag.Extraction-SafeImplicits"]], "extraction testcompile (command)": [[2, "coq:cmd.Extraction-TestCompile"]], "extraction typeexpand (flag)": [[2, "coq:flag.Extraction-TypeExpand"]], "print extraction blacklist (command)": [[2, "coq:cmd.Print-Extraction-Blacklist"]], "print extraction callback (command)": [[2, "coq:cmd.Print-Extraction-Callback"]], "print extraction foreign (command)": [[2, "coq:cmd.Print-Extraction-Foreign"]], "print extraction inline (command)": [[2, "coq:cmd.Print-Extraction-Inline"]], "pwd (command)": [[2, "coq:cmd.Pwd"]], "recursive extraction (command)": [[2, "coq:cmd.Recursive-Extraction"]], "recursive extraction library (command)": [[2, "coq:cmd.Recursive-Extraction-Library"]], "reset extraction blacklist (command)": [[2, "coq:cmd.Reset-Extraction-Blacklist"]], "reset extraction callback (command)": [[2, "coq:cmd.Reset-Extraction-Callback"]], "reset extraction inline (command)": [[2, "coq:cmd.Reset-Extraction-Inline"]], "separate extraction (command)": [[2, "coq:cmd.Separate-Extraction"]], "show extraction (command)": [[2, "coq:cmd.Show-Extraction"]], "the term \u2018qualid\u2019 is already defined as foreign custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-foreign-custom-constant"]], "the term \u2018qualid\u2019 is already defined as inline custom constant (error)": [[2, "coq:exn.The-term-\u2018qualid\u2019-is-already-defined-as-inline-custom-constant"]], "add morphism (command)": [[3, "coq:cmd.Add-Morphism"]], "add parametric morphism (command)": [[3, "coq:cmd.Add-Parametric-Morphism"]], "add parametric relation (command)": [[3, "coq:cmd.Add-Parametric-Relation"]], "add parametric setoid (command)": [[3, "coq:cmd.Add-Parametric-Setoid"]], "add relation (command)": [[3, "coq:cmd.Add-Relation"]], "add setoid (command)": [[3, "coq:cmd.Add-Setoid"]], "declare morphism (command)": [[3, "coq:cmd.Declare-Morphism"]], "no progress made (error)": [[3, "coq:exn.No-progress-made"]], "nothing to rewrite (error)": [[3, "coq:exn.Nothing-to-rewrite"]], "unable to satisfy the rewriting constraints (error)": [[3, "coq:exn.Unable-to-satisfy-the-rewriting-constraints"]], "head_of_constr (tactic)": [[3, "coq:tacn.head_of_constr"]], "rewrite_db (tactic)": [[3, "coq:tacn.rewrite_db"]], "rewrite_strat (tactic)": [[3, "coq:tacn.rewrite_strat"]], "setoid_etransitivity (tactic)": [[3, "coq:tacn.setoid_etransitivity"]], "setoid_reflexivity (tactic)": [[3, "coq:tacn.setoid_reflexivity"]], "setoid_replace (tactic)": [[3, "coq:tacn.setoid_replace"]], "setoid_rewrite (tactic)": [[3, "coq:tacn.setoid_rewrite"]], "setoid_symmetry (tactic)": [[3, "coq:tacn.setoid_symmetry"]], "setoid_transitivity (tactic)": [[3, "coq:tacn.setoid_transitivity"]], "... is not definitionally an identity function (warning)": [[4, "coq:warn....-is-not-definitionally-an-identity-function"]], ":> (coercion)": [[4, "index-0"]], "cannot find the source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019"]], "cannot find the target class (error)": [[4, "coq:exn.Cannot-find-the-target-class"]], "cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019 (error)": [[4, "coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019"]], "coercion (command)": [[4, "coq:cmd.Coercion"]], "found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019 (error)": [[4, "coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019"]], "funclass cannot be a source class (error)": [[4, "coq:exn.Funclass-cannot-be-a-source-class"]], "identity coercion (command)": [[4, "coq:cmd.Identity-Coercion"]], "new coercion path ... is ambiguous with existing ... (warning)": [[4, "coq:warn.New-coercion-path-...-is-ambiguous-with-existing-..."]], "print classes (command)": [[4, "coq:cmd.Print-Classes"]], "print coercion paths (command)": [[4, "coq:cmd.Print-Coercion-Paths"]], "print coercions (command)": [[4, "coq:cmd.Print-Coercions"]], "print graph (command)": [[4, "coq:cmd.Print-Graph"]], "printing coercion (table)": [[4, "coq:table.Printing-Coercion"]], "printing coercions (flag)": [[4, "coq:flag.Printing-Coercions"]], "subclass (command)": [[4, "coq:cmd.SubClass"]], "nonuniform (attribute)": [[4, "coq:attr.nonuniform"]], "reversible (attribute)": [[4, "coq:attr.reversible"]], "\u2018coercion_class\u2019 must be a transparent constant (error)": [[4, "coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant"]], "\u2018qualid\u2019 does not respect the uniform inheritance condition (warning)": [[4, "coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition"]], "\u2018qualid\u2019 is already a coercion (error)": [[4, "coq:exn.\u2018qualid\u2019-is-already-a-coercion"]], "\u2018qualid\u2019 is not a function (error)": [[4, "coq:exn.\u2018qualid\u2019-is-not-a-function"]], "\u2018qualid\u2019 not declared (error)": [[4, "coq:exn.\u2018qualid\u2019-not-declared"]], "add zify (command)": [[5, "coq:cmd.Add-Zify"]], "bound on the ceiling function (theorem)": [[5, "coq:thm.Bound-on-the-ceiling-function"]], "case split (theorem)": [[5, "coq:thm.Case-split"]], "dump arith (option)": [[5, "coq:opt.Dump-Arith"]], "info micromega (flag)": [[5, "coq:flag.Info-Micromega"]], "lia cache (flag)": [[5, "coq:flag.Lia-Cache"]], "nia cache (flag)": [[5, "coq:flag.Nia-Cache"]], "nra cache (flag)": [[5, "coq:flag.Nra-Cache"]], "psatz (theorem)": [[5, "coq:thm.Psatz"]], "show lia profile (command)": [[5, "coq:cmd.Show-Lia-Profile"]], "show zify (command)": [[5, "coq:cmd.Show-Zify"]], "lia (tactic)": [[5, "coq:tacn.lia"]], "lra (tactic)": [[5, "coq:tacn.lra"]], "nia (tactic)": [[5, "coq:tacn.nia"]], "nra (tactic)": [[5, "coq:tacn.nra"]], "psatz (tactic)": [[5, "coq:tacn.psatz"]], "wlia (tactic)": [[5, "coq:tacn.wlia"]], "wlra_q (tactic)": [[5, "coq:tacn.wlra_Q"]], "wnia (tactic)": [[5, "coq:tacn.wnia"]], "wnra_q (tactic)": [[5, "coq:tacn.wnra_Q"]], "wpsatz_q (tactic)": [[5, "coq:tacn.wpsatz_Q"]], "wpsatz_z (tactic)": [[5, "coq:tacn.wpsatz_Z"]], "wsos_q (tactic)": [[5, "coq:tacn.wsos_Q"]], "wsos_z (tactic)": [[5, "coq:tacn.wsos_Z"]], "xlia (tactic)": [[5, "coq:tacn.xlia"]], "xlra_q (tactic)": [[5, "coq:tacn.xlra_Q"]], "xlra_r (tactic)": [[5, "coq:tacn.xlra_R"]], "xnia (tactic)": [[5, "coq:tacn.xnia"]], "xnra_q (tactic)": [[5, "coq:tacn.xnra_Q"]], "xnra_r (tactic)": [[5, "coq:tacn.xnra_R"]], "xpsatz_q (tactic)": [[5, "coq:tacn.xpsatz_Q"]], "xpsatz_r (tactic)": [[5, "coq:tacn.xpsatz_R"]], "xpsatz_z (tactic)": [[5, "coq:tacn.xpsatz_Z"]], "xsos_q (tactic)": [[5, "coq:tacn.xsos_Q"]], "xsos_r (tactic)": [[5, "coq:tacn.xsos_R"]], "xsos_z (tactic)": [[5, "coq:tacn.xsos_Z"]], "zify (tactic)": [[5, "coq:tacn.zify"]], "zify_elim_let (tactic)": [[5, "coq:tacn.zify_elim_let"]], "zify_iter_let (tactic)": [[5, "coq:tacn.zify_iter_let"]], "zify_iter_specs (tactic)": [[5, "coq:tacn.zify_iter_specs"]], "zify_op (tactic)": [[5, "coq:tacn.zify_op"]], "zify_saturate (tactic)": [[5, "coq:tacn.zify_saturate"]], "derive (command)": [[6, "coq:cmd.Derive"]], "nsatz (tactic)": [[7, "coq:tacn.nsatz"]], "nsatz_compute (tactic)": [[7, "coq:tacn.nsatz_compute"]], "admit obligations (command)": [[9, "coq:cmd.Admit-Obligations"]], "final obligation (command)": [[9, "coq:cmd.Final-Obligation"]], "ill-formed recursive definition (error)": [[9, "coq:exn.Ill-formed-recursive-definition"]], "next obligation (command)": [[9, "coq:cmd.Next-Obligation"]], "non extensible universe declaration not supported with monomorphic program definition (error)": [[9, "coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition"]], "obligation (command)": [[9, "coq:cmd.Obligation"]], "obligation tactic (command)": [[9, "coq:cmd.Obligation-Tactic"]], "obligations (command)": [[9, "coq:cmd.Obligations"]], "preterm (command)": [[9, "coq:cmd.Preterm"]], "program (attribute)": [[9, "coq:attr.Program"], [9, "coq:attr.program"]], "program cases (flag)": [[9, "coq:flag.Program-Cases"]], "program generalized coercion (flag)": [[9, "coq:flag.Program-Generalized-Coercion"]], "program mode (flag)": [[9, "coq:flag.Program-Mode"]], "show obligation tactic (command)": [[9, "coq:cmd.Show-Obligation-Tactic"]], "solve all obligations (command)": [[9, "coq:cmd.Solve-All-Obligations"]], "solve obligations (command)": [[9, "coq:cmd.Solve-Obligations"]], "transparent obligations (flag)": [[9, "coq:flag.Transparent-Obligations"]], "rewrite rule (command)": [[10, "coq:cmd.Rewrite-Rule"]], "rewrite rules (command)": [[10, "coq:cmd.Rewrite-Rules"]], "rewrite rule declaration requires passing the flag \"-allow-rewrite-rules\" (error)": [[10, "coq:exn.Rewrite-rule-declaration-requires-passing-the-flag-\"-allow-rewrite-rules\""]], "symbol (command)": [[10, "coq:cmd.Symbol"]], "symbols (command)": [[10, "coq:cmd.Symbols"]], "add field (command)": [[11, "coq:cmd.Add-Field"]], "add ring (command)": [[11, "coq:cmd.Add-Ring"]], "arguments of ring_simplify do not have all the same type (error)": [[11, "coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type"]], "bad lemma for decidability of equality (error)": [[11, "coq:exn.Bad-lemma-for-decidability-of-equality"]], "bad ring structure (error)": [[11, "coq:exn.Bad-ring-structure"]], "cannot find a declared ring structure for equality \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019"]], "cannot find a declared ring structure over \u2018term\u2019 (error)": [[11, "coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019"]], "not a valid ring equation (error)": [[11, "coq:exn.Not-a-valid-ring-equation"]], "print fields (command)": [[11, "coq:cmd.Print-Fields"]], "print rings (command)": [[11, "coq:cmd.Print-Rings"]], "ring operation should be declared as a morphism (error)": [[11, "coq:exn.Ring-operation-should-be-declared-as-a-morphism"]], "field (tactic)": [[11, "coq:tacn.field"]], "field_lookup (tactic)": [[11, "coq:tacn.field_lookup"]], "field_simplify (tactic)": [[11, "coq:tacn.field_simplify"]], "field_simplify_eq (tactic)": [[11, "coq:tacn.field_simplify_eq"]], "protect_fv (tactic)": [[11, "coq:tacn.protect_fv"]], "ring (tactic)": [[11, "coq:tacn.ring"]], "ring_lookup (tactic)": [[11, "coq:tacn.ring_lookup"]], "ring_simplify (tactic)": [[11, "coq:tacn.ring_simplify"]], "allow strictprop (flag)": [[12, "coq:flag.Allow-StrictProp"]], "bad relevance (warning)": [[12, "coq:warn.Bad-relevance"]], "definitional uip (flag)": [[12, "coq:flag.Definitional-UIP"]], "printing relevance marks (flag)": [[12, "coq:flag.Printing-Relevance-Marks"]], "sprop is disallowed because the \"allow strictprop\" flag is off (error)": [[12, "coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off"]], ":: (substructure)": [[13, "index-0"]], "class (command)": [[13, "coq:cmd.Class"]], "declare instance (command)": [[13, "coq:cmd.Declare-Instance"]], "existing class (command)": [[13, "coq:cmd.Existing-Class"]], "existing instance (command)": [[13, "coq:cmd.Existing-Instance"]], "existing instances (command)": [[13, "coq:cmd.Existing-Instances"]], "ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class (warning)": [[13, "coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class"]], "instance (command)": [[13, "coq:cmd.Instance"]], "print instances (command)": [[13, "coq:cmd.Print-Instances"]], "print typeclasses (command)": [[13, "coq:cmd.Print-Typeclasses"]], "typeclass resolution for conversion (flag)": [[13, "coq:flag.Typeclass-Resolution-For-Conversion"]], "typeclasses debug (flag)": [[13, "coq:flag.Typeclasses-Debug"]], "typeclasses debug verbosity (option)": [[13, "coq:opt.Typeclasses-Debug-Verbosity"]], "typeclasses default mode (option)": [[13, "coq:opt.Typeclasses-Default-Mode"]], "typeclasses dependency order (flag)": [[13, "coq:flag.Typeclasses-Dependency-Order"]], "typeclasses depth (option)": [[13, "coq:opt.Typeclasses-Depth"]], "typeclasses iterative deepening (flag)": [[13, "coq:flag.Typeclasses-Iterative-Deepening"]], "typeclasses limit intros (flag)": [[13, "coq:flag.Typeclasses-Limit-Intros"]], "typeclasses opaque (command)": [[13, "coq:cmd.Typeclasses-Opaque"]], "typeclasses strict resolution (flag)": [[13, "coq:flag.Typeclasses-Strict-Resolution"]], "typeclasses transparent (command)": [[13, "coq:cmd.Typeclasses-Transparent"]], "typeclasses unique instances (flag)": [[13, "coq:flag.Typeclasses-Unique-Instances"]], "typeclasses unique solutions (flag)": [[13, "coq:flag.Typeclasses-Unique-Solutions"]], "typeclasses eauto (command)": [[13, "coq:cmd.Typeclasses-eauto"]], "using inferred default mode: \u201cmode\u201d for \u201c\u2018ident\u2019\u201d (warning)": [[13, "coq:warn.Using-inferred-default-mode:-\u201cmode\u201d-for-\u201c\u2018ident\u2019\u201d"]], "autoapply (tactic)": [[13, "coq:tacn.autoapply"]], "mode (attribute)": [[13, "coq:attr.mode"]], "refine (attribute)": [[13, "coq:attr.refine"]], "typeclasses eauto (tactic)": [[13, "coq:tacn.typeclasses-eauto"]], "\u2018ident\u2019 is already declared as a typeclass (warning)": [[13, "coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass"]], "constraint (command)": [[14, "coq:cmd.Constraint"]], "cumulative (attribute)": [[14, "coq:attr.Cumulative"]], "cumulativity weak constraints (flag)": [[14, "coq:flag.Cumulativity-Weak-Constraints"]], "monomorphic (attribute)": [[14, "coq:attr.Monomorphic"]], "noncumulative (attribute)": [[14, "coq:attr.NonCumulative"]], "polymorphic (attribute)": [[14, "coq:attr.Polymorphic"]], "polymorphic inductive cumulativity (flag)": [[14, "coq:flag.Polymorphic-Inductive-Cumulativity"]], "polymorphic universe constraints can only be declared inside sections, use monomorphic constraint instead (error)": [[14, "coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead"]], "polymorphic universes can only be declared inside sections, use monomorphic universe instead (error)": [[14, "coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead"]], "print universes (command)": [[14, "coq:cmd.Print-Universes"]], "printing universes (flag)": [[14, "coq:flag.Printing-Universes"]], "private polymorphic universes (flag)": [[14, "coq:flag.Private-Polymorphic-Universes"]], "strict universe declaration (flag)": [[14, "coq:flag.Strict-Universe-Declaration"]], "the cumulative attribute can only be used in a polymorphic context (error)": [[14, "coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context"]], "undeclared universe \u2018ident\u2019 (error)": [[14, "coq:exn.Undeclared-universe-\u2018ident\u2019"]], "universe (command)": [[14, "coq:cmd.Universe"]], "universe minimization toset (flag)": [[14, "coq:flag.Universe-Minimization-ToSet"]], "universe polymorphism (flag)": [[14, "coq:flag.Universe-Polymorphism"]], "universe inconsistency (error)": [[14, "coq:exn.Universe-inconsistency"]], "universes (command)": [[14, "coq:cmd.Universes"]], "universes(cumulative) (attribute)": [[14, "coq:attr.universes(cumulative)"]], "universes(polymorphic) (attribute)": [[14, "coq:attr.universes(polymorphic)"]], "* (term)": [[27, "index-9"]], "+ (term)": [[27, "index-9"]], "a*b (term)": [[27, "index-9"]], "a+b (term)": [[27, "index-9"]], "a+{b} (term)": [[27, "index-13"]], "acc (term)": [[27, "index-20"]], "acc_inv (term)": [[27, "index-20"]], "acc_rect (term)": [[27, "index-20"]], "choice (term)": [[27, "index-14"]], "choice2 (term)": [[27, "index-14"]], "connectives": [[27, "index-1"]], "datatypes": [[27, "index-7"]], "equality": [[27, "index-4"]], "exc (term)": [[27, "index-15"]], "false (term)": [[27, "index-1"], [27, "index-8"]], "false_rec (term)": [[27, "index-16"]], "false_rect (term)": [[27, "index-16"]], "fix_f (term)": [[27, "index-21"]], "fix_f_eq (term)": [[27, "index-21"]], "fix_f_inv (term)": [[27, "index-21"]], "fix_eq (term)": [[27, "index-21"]], "i (term)": [[27, "index-1"]], "issucc (term)": [[27, "index-17"]], "none (term)": [[27, "index-8"]], "o (term)": [[27, "index-8"]], "o_s (term)": [[27, "index-17"]], "programming": [[27, "index-8"]], "quantifiers": [[27, "index-3"]], "recursion": [[27, "index-20"]], "s (term)": [[27, "index-8"]], "some (term)": [[27, "index-8"]], "theories": [[27, "index-0"]], "true (term)": [[27, "index-1"], [27, "index-8"]], "well founded induction": [[27, "index-20"]], "well foundedness": [[27, "index-20"]], "absurd (term)": [[27, "index-5"]], "absurd_set (term)": [[27, "index-16"]], "all (term)": [[27, "index-3"]], "and (term)": [[27, "index-1"]], "and_rect (term)": [[27, "index-16"]], "bool (term)": [[27, "index-8"]], "bool_choice (term)": [[27, "index-14"]], "conj (term)": [[27, "index-1"]], "eq (term)": [[27, "index-4"]], "eq_s (term)": [[27, "index-17"]], "eq_add_s (term)": [[27, "index-17"]], "eq_ind_r (term)": [[27, "index-5"]], "eq_rec_r (term)": [[27, "index-5"]], "eq_rect (term)": [[27, "index-16"], [27, "index-5"]], "eq_rect_r (term)": [[27, "index-5"]], "eq_refl (term)": [[27, "index-4"]], "eq_sym (term)": [[27, "index-5"]], "eq_trans (term)": [[27, "index-5"]], "error (term)": [[27, "index-15"]], "ex (term)": [[27, "index-3"]], "ex2 (term)": [[27, "index-3"]], "ex_intro (term)": [[27, "index-3"]], "ex_intro2 (term)": [[27, "index-3"]], "exist (term)": [[27, "index-10"]], "exist2 (term)": [[27, "index-10"]], "existt (term)": [[27, "index-11"]], "existt2 (term)": [[27, "index-11"]], "exists (term)": [[27, "index-3"]], "exists2 (term)": [[27, "index-3"]], "f_equal (term)": [[27, "index-5"]], "f_equal2 ... f_equal5 (term)": [[27, "index-6"]], "fst (term)": [[27, "index-9"]], "ge (term)": [[27, "index-18"]], "gt (term)": [[27, "index-18"]], "identity (term)": [[27, "index-8"]], "iff (term)": [[27, "index-1"]], "inl (term)": [[27, "index-9"]], "inleft (term)": [[27, "index-13"]], "inr (term)": [[27, "index-9"]], "inright (term)": [[27, "index-13"]], "le (term)": [[27, "index-18"]], "le_s (term)": [[27, "index-18"]], "le_n (term)": [[27, "index-18"]], "left (term)": [[27, "index-12"]], "lt (term)": [[27, "index-18"]], "mult (term)": [[27, "index-17"]], "mult_n_o (term)": [[27, "index-17"]], "mult_n_sm (term)": [[27, "index-17"]], "n_sn (term)": [[27, "index-17"]], "nat (term)": [[27, "index-8"]], "nat_case (term)": [[27, "index-19"]], "nat_double_ind (term)": [[27, "index-19"]], "not (term)": [[27, "index-1"]], "nott (term)": [[27, "index-2"]], "not_eq_s (term)": [[27, "index-17"]], "option (term)": [[27, "index-8"]], "or (term)": [[27, "index-1"]], "or_introl (term)": [[27, "index-1"]], "or_intror (term)": [[27, "index-1"]], "pair (term)": [[27, "index-9"]], "plus (term)": [[27, "index-17"]], "plus_n_o (term)": [[27, "index-17"]], "plus_n_sm (term)": [[27, "index-17"]], "pred (term)": [[27, "index-17"]], "pred_sn (term)": [[27, "index-17"]], "prod (term)": [[27, "index-9"]], "proj1 (term)": [[27, "index-1"]], "proj2 (term)": [[27, "index-1"]], "projt1 (term)": [[27, "index-11"]], "projt2 (term)": [[27, "index-11"]], "refl_identity (term)": [[27, "index-8"]], "right (term)": [[27, "index-12"]], "sig (term)": [[27, "index-10"]], "sig2 (term)": [[27, "index-10"]], "sigt (term)": [[27, "index-11"]], "sigt2 (term)": [[27, "index-11"]], "snd (term)": [[27, "index-9"]], "sum (term)": [[27, "index-9"]], "sumbool (term)": [[27, "index-12"]], "sumor (term)": [[27, "index-13"]], "sym_not_eq (term)": [[27, "index-5"]], "tt (term)": [[27, "index-8"]], "unit (term)": [[27, "index-8"]], "value (term)": [[27, "index-15"]], "well_founded (term)": [[27, "index-20"]], "{a}+{b} (term)": [[27, "index-12"]], "{x:a & p x} (term)": [[27, "index-11"]], "{x:a | p x} (term)": [[27, "index-10"]], "axiom (command)": [[28, "coq:cmd.Axiom"]], "axioms (command)": [[28, "coq:cmd.Axioms"]], "conjecture (command)": [[28, "coq:cmd.Conjecture"]], "conjectures (command)": [[28, "coq:cmd.Conjectures"]], "hypotheses (command)": [[28, "coq:cmd.Hypotheses"]], "hypothesis (command)": [[28, "coq:cmd.Hypothesis"]], "parameter (command)": [[28, "coq:cmd.Parameter"]], "parameters (command)": [[28, "coq:cmd.Parameters"]], "use of \"variable\" or \"hypothesis\" outside sections behaves as \"#[local] parameter\" or \"#[local] axiom\" (warning)": [[28, "coq:warn.Use-of-\"Variable\"-or-\"Hypothesis\"-outside-sections-behaves-as-\"#[local]-Parameter\"-or-\"#[local]-Axiom\""]], "variable (command)": [[28, "coq:cmd.Variable"]], "variables (command)": [[28, "coq:cmd.Variables"]], "forall": [[28, "index-1"]], "fun": [[28, "index-0"]], "\u2018ident\u2019 already exists. (axiom) (error)": [[28, "coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"]], "add (command)": [[29, "coq:cmd.Add"]], "attributes (command)": [[29, "coq:cmd.Attributes"]], "comments (command)": [[29, "coq:cmd.Comments"]], "print options (command)": [[29, "coq:cmd.Print-Options"]], "print table (command)": [[29, "coq:cmd.Print-Table"]], "print tables (command)": [[29, "coq:cmd.Print-Tables"]], "remove (command)": [[29, "coq:cmd.Remove"]], "set (command)": [[29, "coq:cmd.Set"]], "test (command)": [[29, "coq:cmd.Test"]], "there is no flag or option with this name: \"\u2018setting_name\u2019\" (warning)": [[29, "coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no flag, option or table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no qualid-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "there is no string-valued table with this name: \"\u2018setting_name\u2019\" (error)": [[29, "coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\""]], "this command does not support this attribute (warning)": [[29, "coq:warn.This-command-does-not-support-this-attribute"]], "unset (command)": [[29, "coq:cmd.Unset"]], "command": [[29, "term-command"]], "sentence": [[29, "term-sentence"]], "tactic": [[29, "term-tactic"]], "term": [[29, "term-term"]], "type": [[29, "term-type"], [39, "index-0"]], "warning (attribute)": [[29, "coq:attr.warning"]], "warnings (attribute)": [[29, "coq:attr.warnings"]], "cofixpoint (command)": [[30, "coq:cmd.CoFixpoint"]], "coinductive (command)": [[30, "coq:cmd.CoInductive"]], "cofix": [[30, "index-0"]], "... : ... (type cast)": [[32, "index-1"]], "... :> ... (volatile type cast)": [[32, "index-1"]], "... <: ... (vm type cast)": [[32, "index-1"]], "... <<: ... (native compute type cast)": [[32, "index-1"]], "corollary (command)": [[32, "coq:cmd.Corollary"]], "definition (command)": [[32, "coq:cmd.Definition"]], "example (command)": [[32, "coq:cmd.Example"]], "fact (command)": [[32, "coq:cmd.Fact"]], "lemma (command)": [[32, "coq:cmd.Lemma"]], "nested proofs are discouraged and not allowed by default. this error probably means that you forgot to close the last \"proof.\" with \"qed.\" or \"defined.\". if you really intended to use nested proofs, you can do so by turning the \"nested proofs allowed\" flag on (error)": [[32, "coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"]], "property (command)": [[32, "coq:cmd.Property"]], "proposition (command)": [[32, "coq:cmd.Proposition"]], "remark (command)": [[32, "coq:cmd.Remark"]], "the term \u2018term\u2019 has type \u2018type\u2019 which should be set, prop or type (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type"]], "the term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019' (error)": [[32, "coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'"]], "theorem (command)": [[32, "coq:cmd.Theorem"]], "let ... := ... (term)": [[32, "index-0"]], "\u2018ident\u2019 already exists. (definition) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Definition)"]], "\u2018ident\u2019 already exists. (theorem) (error)": [[32, "coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"]], "auto template polymorphism (flag)": [[34, "coq:flag.Auto-Template-Polymorphism"]], "automatically declaring \u2018ident\u2019 as template polymorphic (warning)": [[34, "coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic"]], "dependent proposition eliminators (flag)": [[34, "coq:flag.Dependent-Proposition-Eliminators"]], "fixpoint (command)": [[34, "coq:cmd.Fixpoint"]], "ill-formed template inductive declaration: not polymorphic on any universe (error)": [[34, "coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe"]], "inductive (command)": [[34, "coq:cmd.Inductive"]], "non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019 (error)": [[34, "coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019"]], "the conclusion of \u2018type\u2019 is not valid": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "uniform inductive parameters (flag)": [[34, "coq:flag.Uniform-Inductive-Parameters"]], "fix": [[34, "index-0"]], "it must be built from \u2018ident\u2019 (error)": [[34, "coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019"]], "template and polymorphism not compatible (error)": [[34, "coq:exn.template-and-polymorphism-not-compatible"]], "universes(template) (attribute)": [[34, "coq:attr.universes(template)"]], "cannot import local constant, it will be ignored (warning)": [[35, "coq:warn.Cannot-import-local-constant,-it-will-be-ignored"]], "declare module (command)": [[35, "coq:cmd.Declare-Module"]], "export (command)": [[35, "coq:cmd.Export"]], "import (command)": [[35, "coq:cmd.Import"]], "include (command)": [[35, "coq:cmd.Include"]], "include type (command)": [[35, "coq:cmd.Include-Type"]], "module (command)": [[35, "coq:cmd.Module"]], "module type (command)": [[35, "coq:cmd.Module-Type"]], "no field named \u2018ident\u2019 in \u2018qualid\u2019 (error)": [[35, "coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019"]], "print module (command)": [[35, "coq:cmd.Print-Module"]], "print module type (command)": [[35, "coq:cmd.Print-Module-Type"]], "print namespace (command)": [[35, "coq:cmd.Print-Namespace"]], "short module printing (flag)": [[35, "coq:flag.Short-Module-Printing"]], "signature components for field \u2018ident\u2019 do not match (error)": [[35, "coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match"]], "the field \u2018ident\u2019 is missing in \u2018qualid\u2019 (error)": [[35, "coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019"]], "trying to mask the absolute name \u2018qualid\u2019! (warning)": [[35, "coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!"]], "export (attribute)": [[35, "coq:attr.export"]], "global (attribute)": [[35, "coq:attr.global"]], "local (attribute)": [[35, "coq:attr.local"]], "\u2018qualid\u2019 is not a module (error)": [[35, "coq:exn.\u2018qualid\u2019-is-not-a-module"]], "primitive projections (flag)": [[37, "coq:flag.Primitive-Projections"]], "printing constructor (table)": [[37, "coq:table.Printing-Constructor"]], "printing primitive projection parameters (flag)": [[37, "coq:flag.Printing-Primitive-Projection-Parameters"]], "printing projections (flag)": [[37, "coq:flag.Printing-Projections"]], "printing record (table)": [[37, "coq:table.Printing-Record"]], "printing records (flag)": [[37, "coq:flag.Printing-Records"]], "printing unfolded projection as match (flag)": [[37, "coq:flag.Printing-Unfolded-Projection-As-Match"]], "record (command)": [[37, "coq:cmd.Record"]], "records declared with the keyword record or structure cannot be recursive (error)": [[37, "coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive"]], "structure (command)": [[37, "coq:cmd.Structure"]], "projections(primitive) (attribute)": [[37, "coq:attr.projections(primitive)"]], "\u2018ident\u2019 already exists (error)": [[37, "coq:exn.\u2018ident\u2019-already-exists"]], "\u2018ident\u2019 cannot be defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined"]], "\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not"]], "\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined (warning)": [[37, "coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined"]], "context (command)": [[38, "coq:cmd.Context"]], "end (command)": [[38, "coq:cmd.End"]], "last block to end has name \u2018ident\u2019 (error)": [[38, "coq:exn.Last-block-to-end-has-name-\u2018ident\u2019"]], "let (command)": [[38, "coq:cmd.Let"]], "let cofixpoint (command)": [[38, "coq:cmd.Let-CoFixpoint"]], "let fixpoint (command)": [[38, "coq:cmd.Let-Fixpoint"]], "section (command)": [[38, "coq:cmd.Section"]], "there is nothing to end (error)": [[38, "coq:exn.There-is-nothing-to-end"]], "clearbody (attribute)": [[38, "coq:attr.clearbody"]], "prop": [[39, "index-0"]], "sprop": [[39, "index-0"]], "set (sort)": [[39, "index-0"]], "casts are not supported in this pattern (error)": [[40, "coq:exn.Casts-are-not-supported-in-this-pattern"]], "private (attribute)": [[40, "coq:attr.Private"]], "the \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019 (error)": [[40, "coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019"]], "variant (command)": [[40, "coq:cmd.Variant"]], "match ... with ...": [[40, "index-0"]], "private(matching) (attribute)": [[40, "coq:attr.private(matching)"]], "arguments (command)": [[41, "coq:cmd.Arguments"]], "arguments of section variables such as \u2018name\u2019 may not be renamed (error)": [[41, "coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed"]], "flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019 (error)": [[41, "coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019"]], "the & modifier may only occur once (error)": [[41, "coq:exn.The-&-modifier-may-only-occur-once"]], "the 'clear implicits' flag must be omitted if implicit annotations are given (error)": [[41, "coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given"]], "the 'default implicits' flag is incompatible with implicit annotations (error)": [[41, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations"]], "the / modifier may only occur once (error)": [[41, "coq:exn.The-/-modifier-may-only-occur-once"]], "this command is just asserting the names of arguments of \u2018qualid\u2019. if this is what you want, add ': assert' to silence the warning. if you want to clear implicit arguments, add ': clear implicits'. if you want to clear notation scopes, add ': clear scopes' (warning)": [[41, "coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"]], "to rename arguments the 'rename' flag must be specified (error)": [[41, "coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified"]], "canonical structure (command)": [[42, "coq:cmd.Canonical-Structure"]], "print canonical projections (command)": [[42, "coq:cmd.Print-Canonical-Projections"]], "canonical (attribute)": [[42, "coq:attr.canonical"]], "printing existential instances (flag)": [[43, "coq:flag.Printing-Existential-Instances"]], "_": [[43, "index-0"]], "argument at position \u2018natural\u2019 is mentioned more than once (error)": [[44, "coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once"]], "argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal. please use { } instead of [ ] (error)": [[44, "coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"]], "arguments given by name or position not supported in explicit mode (error)": [[44, "coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode"]], "cannot infer a term for this placeholder. (casual use of implicit arguments) (error)": [[44, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"]], "contextual implicit (flag)": [[44, "coq:flag.Contextual-Implicit"]], "generalizable (command)": [[44, "coq:cmd.Generalizable"]], "ignoring implicit binder declaration in unexpected position (warning)": [[44, "coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position"]], "implicit arguments (flag)": [[44, "coq:flag.Implicit-Arguments"]], "implicit type (command)": [[44, "coq:cmd.Implicit-Type"]], "implicit types (command)": [[44, "coq:cmd.Implicit-Types"]], "making shadowed name of implicit argument accessible by position (warning)": [[44, "coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position"]], "maximal implicit insertion (flag)": [[44, "coq:flag.Maximal-Implicit-Insertion"]], "not enough non implicit arguments to accept the argument bound to \u2018ident\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019"]], "not enough non implicit arguments to accept the argument bound to \u2018natural\u2019 (error)": [[44, "coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019"]], "parsing explicit (flag)": [[44, "coq:flag.Parsing-Explicit"]], "print implicit (command)": [[44, "coq:cmd.Print-Implicit"]], "printing implicit (flag)": [[44, "coq:flag.Printing-Implicit"]], "printing implicit defensive (flag)": [[44, "coq:flag.Printing-Implicit-Defensive"]], "printing use implicit types (flag)": [[44, "coq:flag.Printing-Use-Implicit-Types"]], "reversible pattern implicit (flag)": [[44, "coq:flag.Reversible-Pattern-Implicit"]], "strict implicit (flag)": [[44, "coq:flag.Strict-Implicit"]], "strongly strict implicit (flag)": [[44, "coq:flag.Strongly-Strict-Implicit"]], "wrong argument name (error)": [[44, "coq:exn.Wrong-argument-name"]], "wrong argument position (error)": [[44, "coq:exn.Wrong-argument-position"]], "`( )": [[44, "index-2"]], "`(! )": [[44, "index-5"]], "`[ ]": [[44, "index-1"]], "`[! ]": [[44, "index-4"]], "`{ }": [[44, "index-0"]], "`{! }": [[44, "index-3"]], "asymmetric patterns (flag)": [[46, "coq:flag.Asymmetric-Patterns"]], "either there is a type incompatibility or the problem involves dependencies (error)": [[46, "coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies"]], "found a constructor of inductive type term while a constructor of term is expected (error)": [[46, "coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected"]], "non exhaustive pattern matching (error)": [[46, "coq:exn.Non-exhaustive-pattern-matching"]], "printing allow match default clause (flag)": [[46, "coq:flag.Printing-Allow-Match-Default-Clause"]], "printing factorizable match patterns (flag)": [[46, "coq:flag.Printing-Factorizable-Match-Patterns"]], "printing if (table)": [[46, "coq:table.Printing-If"]], "printing let (table)": [[46, "coq:table.Printing-Let"]], "printing match all subterms (flag)": [[46, "coq:flag.Printing-Match-All-Subterms"]], "printing matching (flag)": [[46, "coq:flag.Printing-Matching"]], "printing synth (flag)": [[46, "coq:flag.Printing-Synth"]], "printing wildcard (flag)": [[46, "coq:flag.Printing-Wildcard"]], "the constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments (error)": [[46, "coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments"]], "the elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case) (error)": [[46, "coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)"]], "the variable ident is bound several times in pattern term (error)": [[46, "coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term"]], "unable to infer a match predicate (error)": [[46, "coq:exn.Unable-to-infer-a-match-predicate"]], "unused variable \u2018ident\u2019 might be a misspelled constructor. use _ or _\u2018ident\u2019 to silence this warning (warning)": [[46, "coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning."]], "coqtop exit on error (flag)": [[51, "coq:flag.Coqtop-Exit-On-Error"]], "+ (backtracking branching) (tactic)": [[54, "coq:tacn.+-(backtracking-branching)"]], "::=": [[54, "index-0"]], "argument of match does not evaluate to a term (error)": [[54, "coq:exn.Argument-of-match-does-not-evaluate-to-a-term"]], "condition not satisfied (error)": [[54, "coq:exn.Condition-not-satisfied"]], "debug (command)": [[54, "coq:cmd.Debug"]], "debug mode not available in the ide (error)": [[54, "coq:exn.Debug-mode-not-available-in-the-IDE"]], "expression does not evaluate to a tactic (error)": [[54, "coq:exn.Expression-does-not-evaluate-to-a-tactic"]], "failed to progress (error)": [[54, "coq:exn.Failed-to-progress"]], "info (command)": [[54, "coq:cmd.Info"]], "info level (option)": [[54, "coq:opt.Info-Level"]], "ltac (command)": [[54, "coq:cmd.Ltac"]], "ltac backtrace (flag)": [[54, "coq:flag.Ltac-Backtrace"]], "ltac batch debug (flag)": [[54, "coq:flag.Ltac-Batch-Debug"]], "ltac debug (flag)": [[54, "coq:flag.Ltac-Debug"]], "ltac profiler encountered an invalid stack (no self node). this can happen if you reset the profile during tactic execution (warning)": [[54, "coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"]], "ltac profiling (flag)": [[54, "coq:flag.Ltac-Profiling"]], "no applicable tactic (error)": [[54, "coq:exn.No-applicable-tactic"]], "no evars (error)": [[54, "coq:exn.No-evars"]], "no matching clauses for match (error)": [[54, "coq:exn.No-matching-clauses-for-match"]], "no matching clauses for match goal (error)": [[54, "coq:exn.No-matching-clauses-for-match-goal"]], "no such goal. (goal selector) (error)": [[54, "coq:exn.No-such-goal.-(Goal-selector)"]], "no such goal. (fail) (error)": [[54, "coq:exn.No-such-goal.-(fail)"]], "not a context variable (error)": [[54, "coq:exn.Not-a-context-variable"]], "not a variable or hypothesis (error)": [[54, "coq:exn.Not-a-variable-or-hypothesis"]], "not an evar (error)": [[54, "coq:exn.Not-an-evar"]], "not equal (due to universes) (error)": [[54, "coq:exn.Not-equal-(due-to-universes)"]], "not equal (error)": [[54, "coq:exn.Not-equal"]], "not ground (error)": [[54, "coq:exn.Not-ground"]], "print ltac (command)": [[54, "coq:cmd.Print-Ltac"]], "print ltac signatures (command)": [[54, "coq:cmd.Print-Ltac-Signatures"]], "reset ltac profile (command)": [[54, "coq:cmd.Reset-Ltac-Profile"]], "show ltac profile (command)": [[54, "coq:cmd.Show-Ltac-Profile"]], "tactic failure (error)": [[54, "coq:exn.Tactic-failure"]], "tactic failure (level \u2018natural\u2019) (error)": [[54, "coq:exn.Tactic-failure-(level-\u2018natural\u2019)"]], "tactic failure: <tactic closure> succeeds (error)": [[54, "coq:exn.Tactic-failure:-<tactic-closure>-succeeds"]], "there is already an ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019"]], "there is no ltac named \u2018qualid\u2019 (error)": [[54, "coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019"]], "this tactic has more than one success (error)": [[54, "coq:exn.This-tactic-has-more-than-one-success"]], "unbound context identifier \u2018ident\u2019 (error)": [[54, "coq:exn.Unbound-context-identifier-\u2018ident\u2019"]], "[ \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "[> \u2026 | \u2026 | \u2026 ] (dispatch) (tactic)": [[54, "coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)"]], "assert_fails (tactic)": [[54, "coq:tacn.assert_fails"]], "assert_succeeds (tactic)": [[54, "coq:tacn.assert_succeeds"]], "constr_eq (tactic)": [[54, "coq:tacn.constr_eq"]], "constr_eq_nounivs (tactic)": [[54, "coq:tacn.constr_eq_nounivs"]], "constr_eq_strict (tactic)": [[54, "coq:tacn.constr_eq_strict"]], "context (tactic)": [[54, "coq:tacn.context"]], "convert (tactic)": [[54, "coq:tacn.convert"]], "do (tactic)": [[54, "coq:tacn.do"]], "exactly_once (tactic)": [[54, "coq:tacn.exactly_once"]], "fail (tactic)": [[54, "coq:tacn.fail"]], "finish_timing (tactic)": [[54, "coq:tacn.finish_timing"]], "first (tactic)": [[54, "coq:tacn.first"]], "fresh (tactic)": [[54, "coq:tacn.fresh"]], "fun (tactic)": [[54, "coq:tacn.fun"]], "gfail (tactic)": [[54, "coq:tacn.gfail"]], "guard (tactic)": [[54, "coq:tacn.guard"]], "has_evar (tactic)": [[54, "coq:tacn.has_evar"]], "idtac (tactic)": [[54, "coq:tacn.idtac"]], "infoh (command)": [[54, "coq:cmd.infoH"]], "is_cofix (tactic)": [[54, "coq:tacn.is_cofix"]], "is_const (tactic)": [[54, "coq:tacn.is_const"]], "is_constructor (tactic)": [[54, "coq:tacn.is_constructor"]], "is_evar (tactic)": [[54, "coq:tacn.is_evar"]], "is_fix (tactic)": [[54, "coq:tacn.is_fix"]], "is_ground (tactic)": [[54, "coq:tacn.is_ground"]], "is_ind (tactic)": [[54, "coq:tacn.is_ind"]], "is_proj (tactic)": [[54, "coq:tacn.is_proj"]], "is_var (tactic)": [[54, "coq:tacn.is_var"]], "lazymatch (tactic)": [[54, "coq:tacn.lazymatch"]], "lazymatch goal (tactic)": [[54, "coq:tacn.lazymatch-goal"]], "let (tactic)": [[54, "coq:tacn.let"]], "ltac-seq (tactic)": [[54, "coq:tacn.ltac-seq"]], "match (tactic)": [[54, "coq:tacn.match"]], "match goal (tactic)": [[54, "coq:tacn.match-goal"]], "multimatch (tactic)": [[54, "coq:tacn.multimatch"]], "multimatch goal (tactic)": [[54, "coq:tacn.multimatch-goal"]], "not a cofix definition (error)": [[54, "coq:exn.not-a-cofix-definition"]], "not a constant (error)": [[54, "coq:exn.not-a-constant"]], "not a constructor (error)": [[54, "coq:exn.not-a-constructor"]], "not a fix definition (error)": [[54, "coq:exn.not-a-fix-definition"]], "not a primitive projection (error)": [[54, "coq:exn.not-a-primitive-projection"]], "not an (co)inductive datatype (error)": [[54, "coq:exn.not-an-(co)inductive-datatype"]], "not_evar (tactic)": [[54, "coq:tacn.not_evar"]], "numgoals (tactic)": [[54, "coq:tacn.numgoals"]], "once (tactic)": [[54, "coq:tacn.once"]], "only (tactic)": [[54, "coq:tacn.only"]], "optimize_heap (tactic)": [[54, "coq:tacn.optimize_heap"]], "progress (tactic)": [[54, "coq:tacn.progress"]], "repeat (tactic)": [[54, "coq:tacn.repeat"]], "reset ltac profile (tactic)": [[54, "coq:tacn.reset-ltac-profile"]], "restart_timer (tactic)": [[54, "coq:tacn.restart_timer"]], "show ltac profile (tactic)": [[54, "coq:tacn.show-ltac-profile"]], "solve (tactic)": [[54, "coq:tacn.solve"]], "start ltac profiling (tactic)": [[54, "coq:tacn.start-ltac-profiling"]], "stop ltac profiling (tactic)": [[54, "coq:tacn.stop-ltac-profiling"]], "time (tactic)": [[54, "coq:tacn.time"]], "time_constr (tactic)": [[54, "coq:tacn.time_constr"]], "timeout (tactic)": [[54, "coq:tacn.timeout"]], "try (tactic)": [[54, "coq:tacn.try"]], "tryif (tactic)": [[54, "coq:tacn.tryif"]], "type of (tactic)": [[54, "coq:tacn.type-of"]], "type_term (tactic)": [[54, "coq:tacn.type_term"]], "unify (tactic)": [[54, "coq:tacn.unify"]], "|| (first tactic making progress) (tactic)": [[54, "coq:tacn.||-(first-tactic-making-progress)"]], "\u2026 : \u2026 (goal selector) (tactic)": [[54, "coq:tacn.\u2026-:-\u2026-(goal-selector)"]], "ltac2 (command)": [[55, "coq:cmd.Ltac2"]], "ltac2 backtrace (flag)": [[55, "coq:flag.Ltac2-Backtrace"]], "ltac2 check (command)": [[55, "coq:cmd.Ltac2-Check"]], "ltac2 eval (command)": [[55, "coq:cmd.Ltac2-Eval"]], "ltac2 globalize (command)": [[55, "coq:cmd.Ltac2-Globalize"]], "ltac2 in ltac1 profiling (flag)": [[55, "coq:flag.Ltac2-In-Ltac1-Profiling"]], "ltac2 notation (abbreviation) (command)": [[55, "coq:cmd.Ltac2-Notation-(abbreviation)"]], "ltac2 notation (command)": [[55, "coq:cmd.Ltac2-Notation"]], "ltac2 set (command)": [[55, "coq:cmd.Ltac2-Set"]], "ltac2 type (command)": [[55, "coq:cmd.Ltac2-Type"]], "ltac2 typed notations (flag)": [[55, "coq:flag.Ltac2-Typed-Notations"]], "ltac2 external (command)": [[55, "coq:cmd.Ltac2-external"]], "notation levels must range between 0 and 6 (error)": [[55, "coq:exn.Notation-levels-must-range-between-0-and-6"]], "print ltac2 (command)": [[55, "coq:cmd.Print-Ltac2"]], "print ltac2 signatures (command)": [[55, "coq:cmd.Print-Ltac2-Signatures"]], "print ltac2 type (command)": [[55, "coq:cmd.Print-Ltac2-Type"]], "the reference x was not found in the current environment (error)": [[55, "coq:exn.The-reference-X-was-not-found-in-the-current-environment"]], "unbound [value|constructor] x (error)": [[55, "coq:exn.Unbound-[value|constructor]-X"]], "abstract (attribute)": [[55, "coq:attr.abstract"]], "if-then-else (ltac2) (tactic)": [[55, "coq:tacn.if-then-else-(Ltac2)"]], "lazy_match! (tactic)": [[55, "coq:tacn.lazy_match!"]], "lazy_match! goal (tactic)": [[55, "coq:tacn.lazy_match!-goal"]], "match (ltac2) (tactic)": [[55, "coq:tacn.match-(Ltac2)"]], "match! (tactic)": [[55, "coq:tacn.match!"]], "match! goal (tactic)": [[55, "coq:tacn.match!-goal"]], "multi_match! (tactic)": [[55, "coq:tacn.multi_match!"]], "multi_match! goal (tactic)": [[55, "coq:tacn.multi_match!-goal"]], "=> (tactic)": [[57, "coq:tacn.=>"]], "debug ssrmatching (flag)": [[57, "coq:flag.Debug-SsrMatching"]], "debug ssreflect (flag)": [[57, "coq:flag.Debug-Ssreflect"]], "duplicate clear of h. use { }h instead of { h }h (warning)": [[57, "coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"]], "hint view for (command)": [[57, "coq:cmd.Hint-View-for"]], "hint view for apply (command)": [[57, "coq:cmd.Hint-View-for-apply"]], "hint view for move (command)": [[57, "coq:cmd.Hint-View-for-move"]], "incorrect number of tactics (expected n tactics, was given m) (error)": [[57, "coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)"]], "prenex implicits (command)": [[57, "coq:cmd.Prenex-Implicits"]], "ssreflect: cannot obtain new equations out of ... (warning)": [[57, "coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-..."]], "ssrhave notcresolution (flag)": [[57, "coq:flag.SsrHave-NoTCResolution"]], "ssridents (flag)": [[57, "coq:flag.SsrIdents"]], "ssroldrewritegoalsorder (flag)": [[57, "coq:flag.SsrOldRewriteGoalsOrder"]], "ssrrewrite (flag)": [[57, "coq:flag.SsrRewrite"]], "abstract (ssreflect) (tactic)": [[57, "coq:tacn.abstract-(ssreflect)"]], "apply (ssreflect) (tactic)": [[57, "coq:tacn.apply-(ssreflect)"]], "by (tactic)": [[57, "coq:tacn.by"]], "case (ssreflect) (tactic)": [[57, "coq:tacn.case-(ssreflect)"]], "congr (tactic)": [[57, "coq:tacn.congr"]], "do (ssreflect) (tactic)": [[57, "coq:tacn.do-(ssreflect)"]], "done (tactic)": [[57, "coq:tacn.done"]], "elim (ssreflect) (tactic)": [[57, "coq:tacn.elim-(ssreflect)"]], "exact (ssreflect) (tactic)": [[57, "coq:tacn.exact-(ssreflect)"]], "first (ssreflect) (tactic)": [[57, "coq:tacn.first-(ssreflect)"]], "first last (tactic variant)": [[57, "coq:tacv.first-last"]], "generally have (tactic)": [[57, "coq:tacn.generally-have"]], "have (tactic)": [[57, "coq:tacn.have"]], "in (tactic)": [[57, "coq:tacn.in"]], "last (tactic)": [[57, "coq:tacn.last"]], "last first (tactic variant)": [[57, "coq:tacv.last-first"]], "move (ssreflect) (tactic)": [[57, "coq:tacn.move-(ssreflect)"]], "over (tactic)": [[57, "coq:tacn.over"]], "pose (ssreflect) (tactic)": [[57, "coq:tacn.pose-(ssreflect)"]], "rewrite (ssreflect) (tactic)": [[57, "coq:tacn.rewrite-(ssreflect)"]], "set (ssreflect) (tactic)": [[57, "coq:tacn.set-(ssreflect)"]], "suff (tactic)": [[57, "coq:tacn.suff"]], "suffices (tactic)": [[57, "coq:tacn.suffices"]], "under (tactic)": [[57, "coq:tacn.under"]], "unlock (tactic)": [[57, "coq:tacn.unlock"]], "without loss (tactic)": [[57, "coq:tacn.without-loss"]], "wlog (tactic)": [[57, "coq:tacn.wlog"]], "\u2026 : \u2026 (ssreflect) (tactic)": [[57, "coq:tacn.\u2026-:-\u2026-(ssreflect)"]], "cannot change \u2018ident\u2019, it is used in conclusion (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion"]], "cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019"]], "cannot infer a term for this placeholder. (refine) (error)": [[58, "coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019"]], "cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019 (error)": [[58, "coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019"]], "default goal selector (option)": [[58, "coq:opt.Default-Goal-Selector"]], "no product even after head-reduction (error)": [[58, "coq:exn.No-product-even-after-head-reduction"]], "no quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction (error)": [[58, "coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction"]], "no such assumption (error)": [[58, "coq:exn.No-such-assumption"]], "no such binder (error)": [[58, "coq:exn.No-such-binder"]], "no such bound variable \u2018ident\u2019 (no bound variables at all in the expression) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)"]], "no such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ...) (error)": [[58, "coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)"]], "no such hypothesis: \u2018ident\u2019 (error)": [[58, "coq:exn.No-such-hypothesis:-\u2018ident\u2019"]], "no \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction (error)": [[58, "coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction"]], "not an exact proof (error)": [[58, "coq:exn.Not-an-exact-proof"]], "not the right number of missing arguments (expected \u2018natural\u2019) (error)": [[58, "coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)"]], "proof is not complete. (assert) (error)": [[58, "coq:exn.Proof-is-not-complete.-(assert)"]], "the term \"\u2018type\u2019\" has type \"\u2018type\u2019\" which should be set, prop or type (error)": [[58, "coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type"]], "the variable \u2018ident\u2019 is already declared (error)": [[58, "coq:exn.The-variable-\u2018ident\u2019-is-already-declared"]], "unable to apply lemma of type \"...\" on hypothesis of type \"...\" (error)": [[58, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\""]], "unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019 (error)": [[58, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019"]], "unable to unify \u2018one_term\u2019 with \u2018one_term\u2019 (error)": [[58, "coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019"]], "absurd (tactic)": [[58, "coq:tacn.absurd"]], "apply (tactic)": [[58, "coq:tacn.apply"]], "assert (tactic)": [[58, "coq:tacn.assert"]], "assumption (tactic)": [[58, "coq:tacn.assumption"]], "classical_left (tactic)": [[58, "coq:tacn.classical_left"]], "classical_right (tactic)": [[58, "coq:tacn.classical_right"]], "clear (tactic)": [[58, "coq:tacn.clear"]], "clear dependent (tactic)": [[58, "coq:tacn.clear-dependent"]], "clearbody (tactic)": [[58, "coq:tacn.clearbody"]], "contradict (tactic)": [[58, "coq:tacn.contradict"]], "contradiction (tactic)": [[58, "coq:tacn.contradiction"]], "cut (tactic)": [[58, "coq:tacn.cut"]], "dependent generalize_eqs (tactic)": [[58, "coq:tacn.dependent-generalize_eqs"]], "dependent generalize_eqs_vars (tactic)": [[58, "coq:tacn.dependent-generalize_eqs_vars"]], "eapply (tactic)": [[58, "coq:tacn.eapply"]], "eassert (tactic)": [[58, "coq:tacn.eassert"]], "eassumption (tactic)": [[58, "coq:tacn.eassumption"]], "eenough (tactic)": [[58, "coq:tacn.eenough"]], "eexact (tactic)": [[58, "coq:tacn.eexact"]], "eintros (tactic)": [[58, "coq:tacn.eintros"]], "enough (tactic)": [[58, "coq:tacn.enough"]], "epose (tactic)": [[58, "coq:tacn.epose"]], "epose proof (tactic)": [[58, "coq:tacn.epose-proof"]], "eremember (tactic)": [[58, "coq:tacn.eremember"]], "eset (tactic)": [[58, "coq:tacn.eset"]], "evar (tactic)": [[58, "coq:tacn.evar"]], "exact (tactic)": [[58, "coq:tacn.exact"]], "exact_no_check (tactic)": [[58, "coq:tacn.exact_no_check"]], "exfalso (tactic)": [[58, "coq:tacn.exfalso"]], "generalize (tactic)": [[58, "coq:tacn.generalize"]], "generalize dependent (tactic)": [[58, "coq:tacn.generalize-dependent"]], "generalize_eqs (tactic)": [[58, "coq:tacn.generalize_eqs"]], "generalize_eqs_vars (tactic)": [[58, "coq:tacn.generalize_eqs_vars"]], "instantiate (tactic)": [[58, "coq:tacn.instantiate"]], "intro (tactic)": [[58, "coq:tacn.intro"]], "intros (tactic)": [[58, "coq:tacn.intros"]], "intros until (tactic)": [[58, "coq:tacn.intros-until"]], "lapply (tactic)": [[58, "coq:tacn.lapply"]], "lapply needs a non-dependent product (error)": [[58, "coq:exn.lapply-needs-a-non-dependent-product"]], "move (tactic)": [[58, "coq:tacn.move"]], "native_cast_no_check (tactic)": [[58, "coq:tacn.native_cast_no_check"]], "pose (tactic)": [[58, "coq:tacn.pose"]], "pose proof (tactic)": [[58, "coq:tacn.pose-proof"]], "rapply (tactic)": [[58, "coq:tacn.rapply"]], "refine (tactic)": [[58, "coq:tacn.refine"]], "remember (tactic)": [[58, "coq:tacn.remember"]], "rename (tactic)": [[58, "coq:tacn.rename"]], "revert (tactic)": [[58, "coq:tacn.revert"]], "revert dependent (tactic)": [[58, "coq:tacn.revert-dependent"]], "set (tactic)": [[58, "coq:tacn.set"]], "simple apply (tactic)": [[58, "coq:tacn.simple-apply"]], "simple eapply (tactic)": [[58, "coq:tacn.simple-eapply"]], "specialize (tactic)": [[58, "coq:tacn.specialize"]], "specialize_eqs (tactic)": [[58, "coq:tacn.specialize_eqs"]], "vm_cast_no_check (tactic)": [[58, "coq:tacn.vm_cast_no_check"]], "\u2018ident\u2019 is already used (error)": [[58, "coq:exn.\u2018ident\u2019-is-already-used"]], "\u2018ident\u2019 is not a local definition (error)": [[58, "coq:exn.\u2018ident\u2019-is-not-a-local-definition"]], "\u2018ident\u2019 is used in the conclusion (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-conclusion"]], "\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019 (error)": [[58, "coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019"]], "about (command)": [[59, "coq:cmd.About"]], "back (command)": [[59, "coq:cmd.Back"]], "backto (command)": [[59, "coq:cmd.BackTo"]], "bad magic number (error)": [[59, "coq:exn.Bad-magic-number"]], "cannot find library foo in loadpath (error)": [[59, "coq:exn.Cannot-find-library-foo-in-loadpath"]], "cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019 (error)": [[59, "coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019"]], "can\u2019t find file \u2018ident\u2019 on loadpath (error)": [[59, "coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath"]], "check (command)": [[59, "coq:cmd.Check"]], "compiled library \u2018ident\u2019.vo makes inconsistent assumptions over library \u2018qualid\u2019 (error)": [[59, "coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019"]], "debug (option)": [[59, "coq:opt.Debug"]], "declare ml module (command)": [[59, "coq:cmd.Declare-ML-Module"]], "default timeout (option)": [[59, "coq:opt.Default-Timeout"]], "drop (command)": [[59, "coq:cmd.Drop"]], "dynlink error: execution of module initializers in the (error)": [[59, "coq:exn.Dynlink-error:-execution-of-module-initializers-in-the"]], "fail (command)": [[59, "coq:cmd.Fail"]], "fast name printing (flag)": [[59, "coq:flag.Fast-Name-Printing"]], "file ... found twice in ... (warning)": [[59, "coq:warn.File-...-found-twice-in-..."]], "file not found on loadpath: \u2018string\u2019 (error)": [[59, "coq:exn.File-not-found-on-loadpath:-\u2018string\u2019"]], "files processed by load cannot leave open proofs (error)": [[59, "coq:exn.Files-processed-by-Load-cannot-leave-open-proofs"]], "from \u2026 dependency (command)": [[59, "coq:cmd.From-\u2026-Dependency"]], "from \u2026 require (command)": [[59, "coq:cmd.From-\u2026-Require"]], "guard checking (flag)": [[59, "coq:flag.Guard-Checking"]], "inspect (command)": [[59, "coq:cmd.Inspect"]], "instructions (command)": [[59, "coq:cmd.Instructions"]], "invalid backtrack (error)": [[59, "coq:exn.Invalid-backtrack"]], "load (command)": [[59, "coq:cmd.Load"]], "load is not supported inside proofs (error)": [[59, "coq:exn.Load-is-not-supported-inside-proofs"]], "locate (command)": [[59, "coq:cmd.Locate"]], "locate file (command)": [[59, "coq:cmd.Locate-File"]], "locate library (command)": [[59, "coq:cmd.Locate-Library"]], "locate ltac (command)": [[59, "coq:cmd.Locate-Ltac"]], "locate ltac2 (command)": [[59, "coq:cmd.Locate-Ltac2"]], "locate module (command)": [[59, "coq:cmd.Locate-Module"]], "locate term (command)": [[59, "coq:cmd.Locate-Term"]], "module/section \u2018qualid\u2019 not found (error)": [[59, "coq:exn.Module/section-\u2018qualid\u2019-not-found"]], "positivity checking (flag)": [[59, "coq:flag.Positivity-Checking"]], "primitive (command)": [[59, "coq:cmd.Primitive"]], "print (command)": [[59, "coq:cmd.Print"]], "print all (command)": [[59, "coq:cmd.Print-All"]], "print all dependencies (command)": [[59, "coq:cmd.Print-All-Dependencies"]], "print assumptions (command)": [[59, "coq:cmd.Print-Assumptions"]], "print libraries (command)": [[59, "coq:cmd.Print-Libraries"]], "print loadpath (command)": [[59, "coq:cmd.Print-LoadPath"]], "print ml modules (command)": [[59, "coq:cmd.Print-ML-Modules"]], "print ml path (command)": [[59, "coq:cmd.Print-ML-Path"]], "print opaque dependencies (command)": [[59, "coq:cmd.Print-Opaque-Dependencies"]], "print registered (command)": [[59, "coq:cmd.Print-Registered"]], "print registered schemes (command)": [[59, "coq:cmd.Print-Registered-Schemes"]], "print section (command)": [[59, "coq:cmd.Print-Section"]], "print transparent dependencies (command)": [[59, "coq:cmd.Print-Transparent-Dependencies"]], "print typing flags (command)": [[59, "coq:cmd.Print-Typing-Flags"]], "printing all (flag)": [[59, "coq:flag.Printing-All"]], "printing compact contexts (flag)": [[59, "coq:flag.Printing-Compact-Contexts"]], "printing dependent evars line (flag)": [[59, "coq:flag.Printing-Dependent-Evars-Line"]], "printing depth (option)": [[59, "coq:opt.Printing-Depth"]], "printing unfocused (flag)": [[59, "coq:flag.Printing-Unfocused"]], "printing width (option)": [[59, "coq:opt.Printing-Width"]], "profile (command)": [[59, "coq:cmd.Profile"]], "quit (command)": [[59, "coq:cmd.Quit"]], "redirect (command)": [[59, "coq:cmd.Redirect"]], "register (command)": [[59, "coq:cmd.Register"]], "register inline (command)": [[59, "coq:cmd.Register-Inline"]], "register scheme (command)": [[59, "coq:cmd.Register-Scheme"]], "require (command)": [[59, "coq:cmd.Require"]], "require export (command)": [[59, "coq:cmd.Require-Export"]], "require import (command)": [[59, "coq:cmd.Require-Import"]], "require inside a module is deprecated and strongly discouraged. you can require a module at toplevel and optionally import it inside another one (warning)": [[59, "coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"]], "required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ...) (error)": [[59, "coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)"]], "reset (command)": [[59, "coq:cmd.Reset"]], "reset initial (command)": [[59, "coq:cmd.Reset-Initial"]], "search (command)": [[59, "coq:cmd.Search"]], "search blacklist (table)": [[59, "coq:table.Search-Blacklist"]], "search output name only (flag)": [[59, "coq:flag.Search-Output-Name-Only"]], "searchpattern (command)": [[59, "coq:cmd.SearchPattern"]], "searchrewrite (command)": [[59, "coq:cmd.SearchRewrite"]], "silent (flag)": [[59, "coq:flag.Silent"]], "succeed (command)": [[59, "coq:cmd.Succeed"]], "the command has not failed! (error)": [[59, "coq:exn.The-command-has-not-failed!"]], "the file \u2018ident\u2019.vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019 (error)": [[59, "coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019"]], "the type \u2018ident\u2019 must be registered before this construction can be typechecked (error)": [[59, "coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked"]], "this object does not support universe names (error)": [[59, "coq:exn.This-object-does-not-support-universe-names"]], "time (command)": [[59, "coq:cmd.Time"]], "timeout (command)": [[59, "coq:cmd.Timeout"]], "type (command)": [[59, "coq:cmd.Type"]], "universe checking (flag)": [[59, "coq:flag.Universe-Checking"]], "universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019 (error)": [[59, "coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019"]], "warnings (option)": [[59, "coq:opt.Warnings"]], "bypass_check(guard) (attribute)": [[59, "coq:attr.bypass_check(guard)"]], "bypass_check(positivity) (attribute)": [[59, "coq:attr.bypass_check(positivity)"]], "bypass_check(universes) (attribute)": [[59, "coq:attr.bypass_check(universes)"]], "package-name.foo and not foo_plugin (error)": [[59, "coq:exn.package-name.foo-and-not-foo_plugin"]], "plugin name anymore. plugins should be loaded using their (error)": [[59, "coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"]], "public name according to findlib, for example (error)": [[59, "coq:exn.public-name-according-to-findlib,-for-example"]], "shared library failed: coq error: \u2018string\u2019 is not a valid (error)": [[59, "coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid"]], "\u2018qualid\u2019 not a defined object (error)": [[59, "coq:exn.\u2018qualid\u2019-not-a-defined-object"]], "cannot coerce \u2018qualid\u2019 to an evaluable reference (error)": [[60, "coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference"]], "create hintdb (command)": [[60, "coq:cmd.Create-HintDb"]], "debug auto (flag)": [[60, "coq:flag.Debug-Auto"]], "debug eauto (flag)": [[60, "coq:flag.Debug-Eauto"]], "debug trivial (flag)": [[60, "coq:flag.Debug-Trivial"]], "declaring arbitrary terms as hints is fragile and deprecated": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "hint constants (command)": [[60, "coq:cmd.Hint-Constants"]], "hint constructors (command)": [[60, "coq:cmd.Hint-Constructors"]], "hint cut (command)": [[60, "coq:cmd.Hint-Cut"]], "hint extern (command)": [[60, "coq:cmd.Hint-Extern"]], "hint immediate (command)": [[60, "coq:cmd.Hint-Immediate"]], "hint mode (command)": [[60, "coq:cmd.Hint-Mode"]], "hint opaque (command)": [[60, "coq:cmd.Hint-Opaque"]], "hint projections (command)": [[60, "coq:cmd.Hint-Projections"]], "hint resolve (command)": [[60, "coq:cmd.Hint-Resolve"]], "hint rewrite (command)": [[60, "coq:cmd.Hint-Rewrite"]], "hint transparent (command)": [[60, "coq:cmd.Hint-Transparent"]], "hint unfold (command)": [[60, "coq:cmd.Hint-Unfold"]], "hint variables (command)": [[60, "coq:cmd.Hint-Variables"]], "info auto (flag)": [[60, "coq:flag.Info-Auto"]], "info eauto (flag)": [[60, "coq:flag.Info-Eauto"]], "info trivial (flag)": [[60, "coq:flag.Info-Trivial"]], "loose hint behavior (option)": [[60, "coq:opt.Loose-Hint-Behavior"]], "print hint (command)": [[60, "coq:cmd.Print-Hint"]], "print hintdb (command)": [[60, "coq:cmd.Print-HintDb"]], "print rewrite hintdb (command)": [[60, "coq:cmd.Print-Rewrite-HintDb"]], "proof with (command)": [[60, "coq:cmd.Proof-with"]], "remove hints (command)": [[60, "coq:cmd.Remove-Hints"]], "the \"at\" syntax isn't available yet for the autorewrite tactic (error)": [[60, "coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic"]], "this hint is not local but depends on a section variable. it will disappear when the section is closed (warning)": [[60, "coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"]], "auto (tactic)": [[60, "coq:tacn.auto"]], "autorewrite (tactic)": [[60, "coq:tacn.autorewrite"]], "autounfold (tactic)": [[60, "coq:tacn.autounfold"]], "autounfold_one (tactic)": [[60, "coq:tacn.autounfold_one"]], "debug auto (tactic)": [[60, "coq:tacn.debug-auto"]], "debug eauto (tactic)": [[60, "coq:tacn.debug-eauto"]], "debug trivial (tactic)": [[60, "coq:tacn.debug-trivial"]], "easy (tactic)": [[60, "coq:tacn.easy"]], "eauto (tactic)": [[60, "coq:tacn.eauto"]], "info_auto (tactic)": [[60, "coq:tacn.info_auto"]], "info_eauto (tactic)": [[60, "coq:tacn.info_eauto"]], "info_trivial (tactic)": [[60, "coq:tacn.info_trivial"]], "it is recommended to declare a toplevel constant instead (warning)": [[60, "coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile-and-deprecated;-it-is-recommended-to-declare-a-toplevel-constant-instead"]], "mismatched-hint-db (warning)": [[60, "coq:warn.mismatched-hint-db"]], "now (tactic)": [[60, "coq:tacn.now"]], "trivial (tactic)": [[60, "coq:tacn.trivial"]], "\u2018qualid\u2019 cannot be used as a hint (error)": [[60, "coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint"]], "\u2018qualid\u2019 is not an inductive type (error)": [[60, "coq:exn.\u2018qualid\u2019-is-not-an-inductive-type"]], "cannot recognize a boolean equality (error)": [[62, "coq:exn.Cannot-recognize-a-boolean-equality"]], "firstorder depth (option)": [[62, "coq:opt.Firstorder-Depth"]], "firstorder solver (option)": [[62, "coq:opt.Firstorder-Solver"]], "goal is solvable by congruence but some arguments are missing. try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms (error)": [[62, "coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"]], "i don\u2019t know how to handle dependent equality (error)": [[62, "coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality"]], "intuition negation unfolding (flag)": [[62, "coq:flag.Intuition-Negation-Unfolding"]], "print firstorder solver (command)": [[62, "coq:cmd.Print-Firstorder-Solver"]], "btauto (tactic)": [[62, "coq:tacn.btauto"]], "congruence (tactic)": [[62, "coq:tacn.congruence"]], "dintuition (tactic)": [[62, "coq:tacn.dintuition"]], "dtauto (tactic)": [[62, "coq:tacn.dtauto"]], "firstorder (tactic)": [[62, "coq:tacn.firstorder"]], "intuition (tactic)": [[62, "coq:tacn.intuition"]], "rtauto (tactic)": [[62, "coq:tacn.rtauto"]], "simple congruence (tactic)": [[62, "coq:tacn.simple-congruence"]], "tauto (tactic)": [[62, "coq:tacn.tauto"]], "bad occurrence number of \u2018qualid\u2019 (error)": [[64, "coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019"]], "cannot find a relation to rewrite (error)": [[64, "coq:exn.Cannot-find-a-relation-to-rewrite"]], "cannot find any non-recursive equality over \u2018ident\u2019 (error)": [[64, "coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019"]], "cannot turn [inductive|constructor] into an evaluable reference (error)": [[64, "coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference"]], "compute (command)": [[64, "coq:cmd.Compute"]], "declare equivalent keys (command)": [[64, "coq:cmd.Declare-Equivalent-Keys"]], "declare left step (command)": [[64, "coq:cmd.Declare-Left-Step"]], "declare reduction (command)": [[64, "coq:cmd.Declare-Reduction"]], "declare right step (command)": [[64, "coq:cmd.Declare-Right-Step"]], "eval (command)": [[64, "coq:cmd.Eval"]], "found an \"at\" clause without \"with\" clause (error)": [[64, "coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause"]], "found no subterm matching \u2018term\u2019 in the current goal (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal"]], "found no subterm matching \u2018term\u2019 in \u2018ident\u2019 (error)": [[64, "coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019"]], "kernel term sharing (flag)": [[64, "coq:flag.Kernel-Term-Sharing"]], "keyed unification (flag)": [[64, "coq:flag.Keyed-Unification"]], "nativecompute profile filename (option)": [[64, "coq:opt.NativeCompute-Profile-Filename"]], "nativecompute profiling (flag)": [[64, "coq:flag.NativeCompute-Profiling"]], "nativecompute timing (flag)": [[64, "coq:flag.NativeCompute-Timing"]], "no head constant to reduce (error)": [[64, "coq:exn.No-head-constant-to-reduce"]], "not convertible (error)": [[64, "coq:exn.Not-convertible"]], "opaque (command)": [[64, "coq:cmd.Opaque"]], "print equivalent keys (command)": [[64, "coq:cmd.Print-Equivalent-Keys"]], "print strategies (command)": [[64, "coq:cmd.Print-Strategies"]], "print strategy (command)": [[64, "coq:cmd.Print-Strategy"]], "regular subst tactic (flag)": [[64, "coq:flag.Regular-Subst-Tactic"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019 (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019"]], "section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion (error)": [[64, "coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion"]], "strategy (command)": [[64, "coq:cmd.Strategy"]], "tactic failure: setoid library not loaded (error)": [[64, "coq:exn.Tactic-failure:-Setoid-library-not-loaded"]], "tactic generated a subgoal identical to the original goal (error)": [[64, "coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal"]], "terms do not have convertible types (error)": [[64, "coq:exn.Terms-do-not-have-convertible-types"]], "the reference is not unfoldable (error)": [[64, "coq:exn.The-reference-is-not-unfoldable"]], "the reference \u2018qualid\u2019 was not found in the current environment (error)": [[64, "coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment"]], "the relation \u2018ident\u2019 is not a declared reflexive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared symmetric relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "the relation \u2018ident\u2019 is not a declared transitive relation. maybe you need to require the stdlib.classes.relationclasses library (error)": [[64, "coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Stdlib.Classes.RelationClasses-library"]], "transparent (command)": [[64, "coq:cmd.Transparent"]], "cbn (tactic)": [[64, "coq:tacn.cbn"]], "cbv (tactic)": [[64, "coq:tacn.cbv"]], "change (tactic)": [[64, "coq:tacn.change"]], "change_no_check (tactic)": [[64, "coq:tacn.change_no_check"]], "compute (tactic)": [[64, "coq:tacn.compute"]], "erewrite (tactic)": [[64, "coq:tacn.erewrite"]], "etransitivity (tactic)": [[64, "coq:tacn.etransitivity"]], "eval (tactic)": [[64, "coq:tacn.eval"]], "f_equal (tactic)": [[64, "coq:tacn.f_equal"]], "fold (tactic)": [[64, "coq:tacn.fold"]], "hnf (tactic)": [[64, "coq:tacn.hnf"]], "lazy (tactic)": [[64, "coq:tacn.lazy"]], "native_compute (tactic)": [[64, "coq:tacn.native_compute"]], "now_show (tactic)": [[64, "coq:tacn.now_show"]], "pattern (tactic)": [[64, "coq:tacn.pattern"]], "red (tactic)": [[64, "coq:tacn.red"]], "reflexivity (tactic)": [[64, "coq:tacn.reflexivity"]], "replace (tactic)": [[64, "coq:tacn.replace"]], "rewrite (tactic)": [[64, "coq:tacn.rewrite"]], "rewrite * (tactic)": [[64, "coq:tacn.rewrite-*"]], "simpl (tactic)": [[64, "coq:tacn.simpl"]], "simple subst (tactic)": [[64, "coq:tacn.simple-subst"]], "stepl (tactic)": [[64, "coq:tacn.stepl"]], "stepr (tactic)": [[64, "coq:tacn.stepr"]], "subst (tactic)": [[64, "coq:tacn.subst"]], "substitute (tactic)": [[64, "coq:tacn.substitute"]], "symmetry (tactic)": [[64, "coq:tacn.symmetry"]], "transitivity (tactic)": [[64, "coq:tacn.transitivity"]], "unfold (tactic)": [[64, "coq:tacn.unfold"]], "vm_compute (tactic)": [[64, "coq:tacn.vm_compute"]], "with_strategy (tactic)": [[64, "coq:tacn.with_strategy"]], "\u2018ident\u2019 is opaque (error)": [[64, "coq:exn.\u2018ident\u2019-is-opaque"]], "\u2018qualid\u2019 does not occur (error)": [[64, "coq:exn.\u2018qualid\u2019-does-not-occur"]], "\"all\" is a predefined collection containing all variables. it can't be redefined (error)": [[66, "coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"]], "abort (command)": [[66, "coq:cmd.Abort"]], "admitted (command)": [[66, "coq:cmd.Admitted"]], "attempt to save an incomplete proof (error)": [[66, "coq:exn.Attempt-to-save-an-incomplete-proof"]], "brackets do not support multi-goal selectors (error)": [[66, "coq:exn.Brackets-do-not-support-multi-goal-selectors"]], "bullet behavior (option)": [[66, "coq:opt.Bullet-Behavior"]], "collection (command)": [[66, "coq:cmd.Collection"]], "default proof mode (option)": [[66, "coq:opt.Default-Proof-Mode"]], "default proof using (option)": [[66, "coq:opt.Default-Proof-Using"]], "defined (command)": [[66, "coq:cmd.Defined"]], "diffs (option)": [[66, "coq:opt.Diffs"]], "focus (command)": [[66, "coq:cmd.Focus"]], "goal (command)": [[66, "coq:cmd.Goal"]], "guarded (command)": [[66, "coq:cmd.Guarded"]], "hyps limit (option)": [[66, "coq:opt.Hyps-Limit"]], "mangle names (flag)": [[66, "coq:flag.Mangle-Names"]], "mangle names light (flag)": [[66, "coq:flag.Mangle-Names-Light"]], "mangle names prefix (option)": [[66, "coq:opt.Mangle-Names-Prefix"]], "nested proofs allowed (flag)": [[66, "coq:flag.Nested-Proofs-Allowed"]], "new collection definition of \u2018ident\u2019 shadows the previous one (warning)": [[66, "coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one"]], "no focused proof (no proof-editing in progress) (error)": [[66, "coq:exn.No-focused-proof-(No-proof-editing-in-progress)"]], "no focused proof (error)": [[66, "coq:exn.No-focused-proof"]], "no focused proof to restart (error)": [[66, "coq:exn.No-focused-proof-to-restart"]], "no such goal (error)": [[66, "coq:exn.No-such-goal"]], "no such goal (\u2018ident\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018ident\u2019)"]], "no such goal (\u2018natural\u2019) (error)": [[66, "coq:exn.No-such-goal-(\u2018natural\u2019)"]], "no such goal. focus next goal with bullet \u2018bullet\u2019 (error)": [[66, "coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"]], "no such goal. try unfocusing with } (error)": [[66, "coq:exn.No-such-goal.-Try-unfocusing-with-}"]], "optimize heap (command)": [[66, "coq:cmd.Optimize-Heap"]], "optimize proof (command)": [[66, "coq:cmd.Optimize-Proof"]], "print debug gc (command)": [[66, "coq:cmd.Print-Debug-GC"]], "printing goal names (flag)": [[66, "coq:flag.Printing-Goal-Names"]], "printing goal tags (flag)": [[66, "coq:flag.Printing-Goal-Tags"]], "proof (command)": [[66, "coq:cmd.Proof"]], "proof mode (command)": [[66, "coq:cmd.Proof-Mode"]], "proof `term` (command)": [[66, "coq:cmd.Proof-`term`"]], "proof is not complete. (abstract) (error)": [[66, "coq:exn.Proof-is-not-complete.-(abstract)"]], "proof using (command)": [[66, "coq:cmd.Proof-using"]], "qed (command)": [[66, "coq:cmd.Qed"]], "restart (command)": [[66, "coq:cmd.Restart"]], "save (command)": [[66, "coq:cmd.Save"]], "show (command)": [[66, "coq:cmd.Show"]], "show conjectures (command)": [[66, "coq:cmd.Show-Conjectures"]], "show existentials (command)": [[66, "coq:cmd.Show-Existentials"]], "show goal (command)": [[66, "coq:cmd.Show-Goal"]], "show intro (command)": [[66, "coq:cmd.Show-Intro"]], "show intros (command)": [[66, "coq:cmd.Show-Intros"]], "show match (command)": [[66, "coq:cmd.Show-Match"]], "show proof (command)": [[66, "coq:cmd.Show-Proof"]], "show universes (command)": [[66, "coq:cmd.Show-Universes"]], "solve unification constraints (flag)": [[66, "coq:flag.Solve-Unification-Constraints"]], "suggest proof using (flag)": [[66, "coq:flag.Suggest-Proof-Using"]], "this proof is focused, but cannot be unfocused this way (error)": [[66, "coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way"]], "undo (command)": [[66, "coq:cmd.Undo"]], "unfocus (command)": [[66, "coq:cmd.Unfocus"]], "unfocused (command)": [[66, "coq:cmd.Unfocused"]], "unknown inductive type (error)": [[66, "coq:exn.Unknown-inductive-type"]], "unshelve (command)": [[66, "coq:cmd.Unshelve"]], "validate proof (command)": [[66, "coq:cmd.Validate-Proof"]], "variable all is shadowed by collection named all containing all variables (warning)": [[66, "coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables"]], "wrong bullet \u2018bullet\u2019: bullet \u2018bullet\u2019 is mandatory here (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here"]], "wrong bullet \u2018bullet\u2019: current bullet \u2018bullet\u2019 is not finished (error)": [[66, "coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished"]], "abstract (tactic)": [[66, "coq:tacn.abstract"]], "admit (tactic)": [[66, "coq:tacn.admit"]], "bullet (- + *) (tactic)": [[66, "coq:tacn.bullet-(--+-*)"]], "cycle (tactic)": [[66, "coq:tacn.cycle"]], "give_up (tactic)": [[66, "coq:tacn.give_up"]], "revgoals (tactic)": [[66, "coq:tacn.revgoals"]], "shelve (tactic)": [[66, "coq:tacn.shelve"]], "shelve_unifiable (tactic)": [[66, "coq:tacn.shelve_unifiable"]], "solve_constraints (tactic)": [[66, "coq:tacn.solve_constraints"]], "swap (tactic)": [[66, "coq:tacn.swap"]], "transparent_abstract (tactic)": [[66, "coq:tacn.transparent_abstract"]], "unshelve (tactic)": [[66, "coq:tacn.unshelve"]], "using (attribute)": [[66, "coq:attr.using"]], "{ (tactic)": [[66, "coq:tacn.{"]], "} (tactic)": [[66, "coq:tacn.}"]], "\u2018ident\u2019 is both name of a collection and variable, collection \u2018ident\u2019 takes precedence over variable (warning)": [[66, "coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable"]], "\u2018ident\u2019 was already a defined variable, the name \u2018ident\u2019 will refer to collection when executing \"proof using\" command (warning)": [[66, "coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command"]], "boolean equality schemes (flag)": [[67, "coq:flag.Boolean-Equality-Schemes"]], "cannot recognize a statement based on \u2018reference\u2019 (error)": [[67, "coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019"]], "case analysis schemes (flag)": [[67, "coq:flag.Case-Analysis-Schemes"]], "combined scheme (command)": [[67, "coq:cmd.Combined-Scheme"]], "decidable equality schemes (flag)": [[67, "coq:flag.Decidable-Equality-Schemes"]], "derive dependent inversion (command)": [[67, "coq:cmd.Derive-Dependent-Inversion"]], "derive dependent inversion_clear (command)": [[67, "coq:cmd.Derive-Dependent-Inversion_clear"]], "derive inversion (command)": [[67, "coq:cmd.Derive-Inversion"]], "derive inversion_clear (command)": [[67, "coq:cmd.Derive-Inversion_clear"]], "elimination schemes (flag)": [[67, "coq:flag.Elimination-Schemes"]], "keep equalities (table)": [[67, "coq:table.Keep-Equalities"]], "keep proof equalities (flag)": [[67, "coq:flag.Keep-Proof-Equalities"]], "no information can be deduced from this equality and the injectivity of constructors. this may be because the terms are convertible, or due to pattern matching restrictions in the sort prop. you can try to use option set keep proof equalities (error)": [[67, "coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"]], "no primitive equality found (error)": [[67, "coq:exn.No-primitive-equality-found"]], "nonrecursive elimination schemes (flag)": [[67, "coq:flag.Nonrecursive-Elimination-Schemes"]], "not a discriminable equality (error)": [[67, "coq:exn.Not-a-discriminable-equality"]], "not a negated primitive equality (error)": [[67, "coq:exn.Not-a-negated-primitive-equality"]], "not an inductive goal with 1 constructor (error)": [[67, "coq:exn.Not-an-inductive-goal-with-1-constructor"]], "not an inductive goal with 2 constructors (error)": [[67, "coq:exn.Not-an-inductive-goal-with-2-constructors"]], "not an inductive product (error)": [[67, "coq:exn.Not-an-inductive-product"]], "not enough constructors (error)": [[67, "coq:exn.Not-enough-constructors"]], "nothing to inject (error)": [[67, "coq:exn.Nothing-to-inject"]], "rewriting schemes (flag)": [[67, "coq:flag.Rewriting-Schemes"]], "scheme (command)": [[67, "coq:cmd.Scheme"]], "scheme boolean equality (command)": [[67, "coq:cmd.Scheme-Boolean-Equality"]], "scheme equality (command)": [[67, "coq:cmd.Scheme-Equality"]], "structural injection (flag)": [[67, "coq:flag.Structural-Injection"]], "the type has no constructors (error)": [[67, "coq:exn.The-type-has-no-constructors"]], "type of \u2018ident\u2019 is not an equality of recognized \u03c3 types: expected one of sig sig2 sigt sigt2 sigt2 ex or ex2 but got \u2018term\u2019 (error)": [[67, "coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019"]], "unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019 (error)": [[67, "coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019"]], "case (tactic)": [[67, "coq:tacn.case"]], "case_eq (tactic)": [[67, "coq:tacn.case_eq"]], "cofix (tactic)": [[67, "coq:tacn.cofix"]], "compare (tactic)": [[67, "coq:tacn.compare"]], "constructor (tactic)": [[67, "coq:tacn.constructor"]], "decide (tactic)": [[67, "coq:tacn.decide"]], "decide equality (tactic)": [[67, "coq:tacn.decide-equality"]], "decompose (tactic)": [[67, "coq:tacn.decompose"]], "decompose record (tactic)": [[67, "coq:tacn.decompose-record"]], "decompose sum (tactic)": [[67, "coq:tacn.decompose-sum"]], "dependent destruction (tactic)": [[67, "coq:tacn.dependent-destruction"]], "dependent induction (tactic)": [[67, "coq:tacn.dependent-induction"]], "dependent inversion (tactic)": [[67, "coq:tacn.dependent-inversion"]], "dependent inversion_clear (tactic)": [[67, "coq:tacn.dependent-inversion_clear"]], "dependent rewrite (tactic)": [[67, "coq:tacn.dependent-rewrite"]], "dependent simple inversion (tactic)": [[67, "coq:tacn.dependent-simple-inversion"]], "destauto (tactic)": [[67, "coq:tacn.destauto"]], "destruct (tactic)": [[67, "coq:tacn.destruct"]], "discriminate (tactic)": [[67, "coq:tacn.discriminate"]], "ecase (tactic)": [[67, "coq:tacn.ecase"]], "econstructor (tactic)": [[67, "coq:tacn.econstructor"]], "edestruct (tactic)": [[67, "coq:tacn.edestruct"]], "ediscriminate (tactic)": [[67, "coq:tacn.ediscriminate"]], "eelim (tactic)": [[67, "coq:tacn.eelim"]], "eexists (tactic)": [[67, "coq:tacn.eexists"]], "einduction (tactic)": [[67, "coq:tacn.einduction"]], "einjection (tactic)": [[67, "coq:tacn.einjection"]], "eleft (tactic)": [[67, "coq:tacn.eleft"]], "elim (tactic)": [[67, "coq:tacn.elim"]], "eright (tactic)": [[67, "coq:tacn.eright"]], "esimplify_eq (tactic)": [[67, "coq:tacn.esimplify_eq"]], "esplit (tactic)": [[67, "coq:tacn.esplit"]], "exists (tactic)": [[67, "coq:tacn.exists"]], "fix (tactic)": [[67, "coq:tacn.fix"]], "induction (tactic)": [[67, "coq:tacn.induction"]], "injection (tactic)": [[67, "coq:tacn.injection"]], "inversion (tactic)": [[67, "coq:tacn.inversion"]], "inversion_clear (tactic)": [[67, "coq:tacn.inversion_clear"]], "inversion_sigma (tactic)": [[67, "coq:tacn.inversion_sigma"]], "left (tactic)": [[67, "coq:tacn.left"]], "right (tactic)": [[67, "coq:tacn.right"]], "simple destruct (tactic)": [[67, "coq:tacn.simple-destruct"]], "simple induction (tactic)": [[67, "coq:tacn.simple-induction"]], "simple injection (tactic)": [[67, "coq:tacn.simple-injection"]], "simple inversion (tactic)": [[67, "coq:tacn.simple-inversion"]], "simplify_eq (tactic)": [[67, "coq:tacn.simplify_eq"]], "split (tactic)": [[67, "coq:tacn.split"]], "\u2018ident\u2019 is not an equality of \u03c3 types (error)": [[67, "coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types"]], "'via' and 'abstract' cannot be used together (error)": [[71, "coq:exn.'via'-and-'abstract'-cannot-be-used-together"]], "activation of abbreviations does not expect mentioning a grammar entry (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry"]], "activation of abbreviations does not expect mentioning a scope (warning)": [[71, "coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope"]], "bind scope (command)": [[71, "coq:cmd.Bind-Scope"]], "cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment (error)": [[71, "coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment"]], "cannot interpret this number as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019"]], "cannot interpret this string as a value of type \u2018type\u2019 (error)": [[71, "coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019"]], "close scope (command)": [[71, "coq:cmd.Close-Scope"]], "declare custom entry (command)": [[71, "coq:cmd.Declare-Custom-Entry"]], "declare scope (command)": [[71, "coq:cmd.Declare-Scope"]], "delimit scope (command)": [[71, "coq:cmd.Delimit-Scope"]], "disable notation (command)": [[71, "coq:cmd.Disable-Notation"]], "enable notation (command)": [[71, "coq:cmd.Enable-Notation"]], "end of quoted string not followed by a space in notation (error)": [[71, "coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation"]], "found no matching notation to enable or disable (warning)": [[71, "coq:warn.Found-no-matching-notation-to-enable-or-disable"]], "infix (command)": [[71, "coq:cmd.Infix"]], "missing mapping for constructor \u2018qualid\u2019 (error)": [[71, "coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019"]], "more than one interpretation bound to this notation, confirm with the \"all\" modifier (error)": [[71, "coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier"]], "multiple 'via' options (error)": [[71, "coq:exn.Multiple-'via'-options"]], "multiple 'warning after' or 'abstract after' options (error)": [[71, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options"]], "no notation provided (error)": [[71, "coq:exn.No-notation-provided"]], "notation (abbreviation) (command)": [[71, "coq:cmd.Notation-(abbreviation)"]], "notation (command)": [[71, "coq:cmd.Notation"]], "number notation (command)": [[71, "coq:cmd.Number-Notation"]], "open scope (command)": [[71, "coq:cmd.Open-Scope"]], "print custom grammar (command)": [[71, "coq:cmd.Print-Custom-Grammar"]], "print grammar (command)": [[71, "coq:cmd.Print-Grammar"]], "print keywords (command)": [[71, "coq:cmd.Print-Keywords"]], "print notation (command)": [[71, "coq:cmd.Print-Notation"]], "print scope (command)": [[71, "coq:cmd.Print-Scope"]], "print scopes (command)": [[71, "coq:cmd.Print-Scopes"]], "print visibility (command)": [[71, "coq:cmd.Print-Visibility"]], "printing notations (flag)": [[71, "coq:flag.Printing-Notations"]], "printing parentheses (flag)": [[71, "coq:flag.Printing-Parentheses"]], "printing raw literals (flag)": [[71, "coq:flag.Printing-Raw-Literals"]], "reserved infix (command)": [[71, "coq:cmd.Reserved-Infix"]], "reserved notation (command)": [[71, "coq:cmd.Reserved-Notation"]], "scope delimiters should not start with an underscore (error)": [[71, "coq:exn.Scope-delimiters-should-not-start-with-an-underscore"]], "scope names should not start with an underscore (error)": [[71, "coq:exn.Scope-names-should-not-start-with-an-underscore"]], "stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed) (warning)": [[71, "coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)"]], "string notation (command)": [[71, "coq:cmd.String-Notation"]], "syntax error: [prim:reference] expected after 'notation' (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])"]], "syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (error)": [[71, "coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])"]], "tactic notation (command)": [[71, "coq:cmd.Tactic-Notation"]], "the 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type (warning)": [[71, "coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type"]], "to avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019 (warning)": [[71, "coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019"]], "type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. expected type is: \u2018type\u2019 instead of \u2018type\u2019. this might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"]], "undelimit scope (command)": [[71, "coq:cmd.Undelimit-Scope"]], "unexpected non-option term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected non-option term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unexpected only parsing for an only printing notation (error)": [[71, "coq:exn.Unexpected-only-parsing-for-an-only-printing-notation"]], "unexpected only printing for an only parsing notation (error)": [[71, "coq:exn.Unexpected-only-printing-for-an-only-parsing-notation"]], "unexpected term \u2018term\u2019 while parsing a number notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation"]], "unexpected term \u2018term\u2019 while parsing a string notation (error)": [[71, "coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation"]], "unknown custom entry (error)": [[71, "coq:exn.Unknown-custom-entry"]], "unknown custom entry: \u2018ident\u2019 (error)": [[71, "coq:exn.Unknown-custom-entry:-\u2018ident\u2019"]], "unterminated string in notation (error)": [[71, "coq:exn.Unterminated-string-in-notation"]], "use of \u2018string\u2019 notation is deprecated as it is inconsistent with pattern syntax (warning)": [[71, "coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax"]], "add_bottom (attribute)": [[71, "coq:attr.add_bottom"]], "add_top (attribute)": [[71, "coq:attr.add_top"]], "closed-notation-not-level-0 (warning)": [[71, "coq:warn.closed-notation-not-level-0"]], "function_scope": [[71, "index-1"]], "notation-incompatible-prefix (warning)": [[71, "coq:warn.notation-incompatible-prefix"]], "overflow in int63 literal \u2018bigint\u2019 (error)": [[71, "coq:exn.overflow-in-int63-literal-\u2018bigint\u2019"]], "postfix-notation-not-level-1 (warning)": [[71, "coq:warn.postfix-notation-not-level-1"]], "type_scope": [[71, "index-0"]], "\u2018qualid\u2019 is bound to a notation that does not denote a reference (error)": [[71, "coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference"]], "\u2018qualid\u2019 should go from byte.byte, (list byte.byte), or primstring.string to \u2018type\u2019 or (option \u2018type\u2019) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte,-(list-Byte.byte),-or-PrimString.string-to-\u2018type\u2019-or-(option-\u2018type\u2019)"]], "\u2018qualid\u2019 should go from number.int to \u2018type\u2019 or (option \u2018type\u2019). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or primfloat.float or number.number could be used (you may need to require binnums or number or primint63 or primfloat first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to number.int or (option number.int). instead of number.int, the types number.uint or z or primint63.pos_neg_int63 or number.number could be used (you may need to require binnums or number or primint63 first) (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)"]], "\u2018qualid\u2019 should go from \u2018type\u2019 to t or (option t), where t is either byte.byte, (list byte.byte), or primstring.string (error)": [[71, "coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-T-or-(option-T),-where-T-is-either-Byte.byte,-(list-Byte.byte),-or-PrimString.string"]], "\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019 (error)": [[71, "coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019"]], "\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018string\u2019 cannot be interpreted as a known notation. make sure that symbols are surrounded by spaces and that holes are explicitly denoted by \"_\" (error)": [[71, "coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""]], "\u2018type\u2019 is not an inductive type (error)": [[71, "coq:exn.\u2018type\u2019-is-not-an-inductive-type"]], "\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation (warning)": [[71, "coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation"]], "cannot build functional inversion principle (warning)": [[72, "coq:warn.Cannot-build-functional-inversion-principle"]], "cannot define graph for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-graph-for-\u2018ident\u2019"]], "cannot define principle(s) for \u2018ident\u2019 (warning)": [[72, "coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019"]], "cannot find induction information on \u2018qualid\u2019 (error)": [[72, "coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019"]], "cannot find inversion information for hypothesis \u2018ident\u2019 (error)": [[72, "coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019"]], "cannot use mutual definition with well-founded recursion or measure (error)": [[72, "coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure"]], "function (command)": [[72, "coq:cmd.Function"]], "functional case (command)": [[72, "coq:cmd.Functional-Case"]], "functional scheme (command)": [[72, "coq:cmd.Functional-Scheme"]], "generate graph for (command)": [[72, "coq:cmd.Generate-graph-for"]], "hypothesis \u2018ident\u2019 must contain at least one function (error)": [[72, "coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function"]], "no argument name \u2018ident\u2019 (error)": [[72, "coq:exn.No-argument-name-\u2018ident\u2019"]], "not the right number of induction arguments (error)": [[72, "coq:exn.Not-the-right-number-of-induction-arguments"]], "the recursive argument must be specified (error)": [[72, "coq:exn.The-recursive-argument-must-be-specified"]], "functional induction (tactic)": [[72, "coq:tacn.functional-induction"]], "functional inversion (tactic)": [[72, "coq:tacn.functional-inversion"]], "soft functional induction (tactic)": [[72, "coq:tacn.soft-functional-induction"]], "library file (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "library file \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 constructor \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-constructor-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "notation \u2018string\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019. use \u2018qualid\u2019 instead (warning)": [[74, "coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019.-Use-\u2018qualid\u2019-instead"]], "tactic notation \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019. \u2018string\u2019 (warning)": [[74, "coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"]], "deprecated (attribute)": [[74, "coq:attr.deprecated"]], "warn (attribute)": [[74, "coq:attr.warn"]], "\u2018string\u2019 (warning)": [[74, "coq:warn.\u2018string\u2019"]], "coqdoc": [[75, "index-0"]]}})
\ No newline at end of file