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Module Printer

These are the entry points for printing terms, context, tac, ...

val print_goal_tag_opt_name : string list

Terms

Printers for terms.

The "lconstr" variant does not require parentheses to isolate the expression from the surrounding context (for instance 3 + 4 will be written 3 + 4). The "constr" variant (w/o "l") enforces parentheses whenever the term is not an atom (for instance, 3 will be written 3 but 3 + 4 will be written (3 + 4).

~inctx:true indicates that the term is intended to be printed in a context where its type is known so that a head coercion would be skipped, or implicit arguments inferable from the context will not be made explicit. For instance, if foo is declared as a coercion, foo bar will be printed as bar if inctx is true and as foo bar otherwise.

~scope:some_scope_name indicates that the head of the term is intended to be printed in scope some_scope_name. It defaults to None.

~impargs:some_list_of_binding_kind indicates the implicit arguments of the external quatification. Only used for printing types (not terms), and at toplevel (only "l" versions). It defaults to None.

val pr_constr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val pr_lconstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val pr_constr_n_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constrexpr.entry_relative_level -> Constr.constr -> Pp.t

Same, but resilient to Nametab errors. Prints fully-qualified names when shortest_qualid_of_global has failed. Prints "??" in case of remaining issues (such as reference not in env).

val safe_pr_constr_env : Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val safe_pr_lconstr_env : Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val pr_econstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> EConstr.t -> Pp.t
val pr_leconstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> EConstr.t -> Pp.t
val pr_econstr_n_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constrexpr.entry_relative_level -> EConstr.t -> Pp.t
val pr_etype_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> EConstr.types -> Pp.t
val pr_letype_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> ?impargs:Glob_term.binding_kind list -> EConstr.types -> Pp.t
val pr_open_constr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Evd.open_constr -> Pp.t
val pr_open_lconstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Evd.open_constr -> Pp.t
val pr_constr_under_binders_env : Environ.env -> Evd.evar_map -> Ltac_pretype.constr_under_binders -> Pp.t
val pr_lconstr_under_binders_env : Environ.env -> Evd.evar_map -> Ltac_pretype.constr_under_binders -> Pp.t

Printers for types. Types are printed in scope "type_scope" and under the constraint of being of type a sort.

The "ltype" variant does not require parentheses to isolate the expression from the surrounding context (for instance nat * bool will be written nat * bool). The "type" variant (w/o "l") enforces parentheses whenever the term is not an atom (for instance, nat will be written nat but nat * bool will be written (nat * bool).

~goal_concl_style:true tells to print the type the same way as command Show would print a goal. Concretely, it means that all names of goal/section variables and all names of variables referred by de Bruijn indices (if any) in the given environment and all short names of global definitions of the current module must be avoided while printing bound variables. Otherwise, short names of global definitions are printed qualified and only names of goal/section variables and rel names that do _not_ occur in the scope of the binder to be printed are avoided.

val pr_ltype_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> ?impargs:Glob_term.binding_kind list -> Constr.types -> Pp.t
val pr_type_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> Constr.types -> Pp.t
val pr_closed_glob_n_env : ?goal_concl_style:bool -> ?inctx:bool -> ?scope:Notation_term.scope_name -> +Printer (rocq-runtime.Printer)

Module Printer

These are the entry points for printing terms, context, tac, ...

val print_goal_tag_opt_name : string list

Terms

Printers for terms.

The "lconstr" variant does not require parentheses to isolate the expression from the surrounding context (for instance 3 + 4 will be written 3 + 4). The "constr" variant (w/o "l") enforces parentheses whenever the term is not an atom (for instance, 3 will be written 3 but 3 + 4 will be written (3 + 4).

~inctx:true indicates that the term is intended to be printed in a context where its type is known so that a head coercion would be skipped, or implicit arguments inferable from the context will not be made explicit. For instance, if foo is declared as a coercion, foo bar will be printed as bar if inctx is true and as foo bar otherwise.

~scope:some_scope_name indicates that the head of the term is intended to be printed in scope some_scope_name. It defaults to None.

~impargs:some_list_of_binding_kind indicates the implicit arguments of the external quatification. Only used for printing types (not terms), and at toplevel (only "l" versions). It defaults to None.

val pr_constr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val pr_lconstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val pr_constr_n_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constrexpr.entry_relative_level -> Constr.constr -> Pp.t

Same, but resilient to Nametab errors. Prints fully-qualified names when shortest_qualid_of_global has failed. Prints "??" in case of remaining issues (such as reference not in env).

val safe_pr_constr_env : Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val safe_pr_lconstr_env : Environ.env -> Evd.evar_map -> Constr.constr -> Pp.t
val safe_extern_wrapper : (Environ.env -> Evd.evar_map -> 'a -> 'b) -> Environ.env -> Evd.evar_map -> 'a -> 'b option
val pr_econstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> EConstr.t -> Pp.t
val pr_leconstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> EConstr.t -> Pp.t
val pr_econstr_n_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constrexpr.entry_relative_level -> EConstr.t -> Pp.t
val pr_etype_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> EConstr.types -> Pp.t
val pr_letype_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> ?impargs:Glob_term.binding_kind list -> EConstr.types -> Pp.t
val pr_open_constr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Evd.open_constr -> Pp.t
val pr_open_lconstr_env : ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Evd.open_constr -> Pp.t
val pr_constr_under_binders_env : Environ.env -> Evd.evar_map -> Ltac_pretype.constr_under_binders -> Pp.t
val pr_lconstr_under_binders_env : Environ.env -> Evd.evar_map -> Ltac_pretype.constr_under_binders -> Pp.t

Printers for types. Types are printed in scope "type_scope" and under the constraint of being of type a sort.

The "ltype" variant does not require parentheses to isolate the expression from the surrounding context (for instance nat * bool will be written nat * bool). The "type" variant (w/o "l") enforces parentheses whenever the term is not an atom (for instance, nat will be written nat but nat * bool will be written (nat * bool).

~goal_concl_style:true tells to print the type the same way as command Show would print a goal. Concretely, it means that all names of goal/section variables and all names of variables referred by de Bruijn indices (if any) in the given environment and all short names of global definitions of the current module must be avoided while printing bound variables. Otherwise, short names of global definitions are printed qualified and only names of goal/section variables and rel names that do _not_ occur in the scope of the binder to be printed are avoided.

val pr_ltype_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> ?impargs:Glob_term.binding_kind list -> Constr.types -> Pp.t
val pr_type_env : ?goal_concl_style:bool -> Environ.env -> Evd.evar_map -> Constr.types -> Pp.t
val pr_closed_glob_n_env : ?goal_concl_style:bool -> ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Constrexpr.entry_relative_level -> Ltac_pretype.closed_glob_constr -> Pp.t
val pr_closed_glob_env : ?goal_concl_style:bool -> ?inctx:bool -> ?scope:Notation_term.scope_name -> Environ.env -> Evd.evar_map -> Ltac_pretype.closed_glob_constr -> Pp.t
val pr_lglob_constr_env : Environ.env -> Evd.evar_map -> 'a Glob_term.glob_constr_g -> Pp.t
val pr_glob_constr_env : Environ.env -> Evd.evar_map -> 'a Glob_term.glob_constr_g -> Pp.t
val pr_lconstr_pattern_env : Environ.env -> Evd.evar_map -> _ Pattern.constr_pattern_r -> Pp.t
val pr_constr_pattern_env : Environ.env -> Evd.evar_map -> _ Pattern.constr_pattern_r -> Pp.t
val pr_cases_pattern : Glob_term.cases_pattern -> Pp.t
val pr_sort : Evd.evar_map -> Sorts.t -> Pp.t

Universe constraints

val pr_universe_instance : Evd.evar_map -> UVars.Instance.t -> Pp.t
val pr_universe_instance_binder : Evd.evar_map -> UVars.Instance.t -> Univ.Constraints.t -> Pp.t
val pr_universe_ctx : Evd.evar_map -> ?variance:UVars.Variance.t array -> UVars.UContext.t -> Pp.t
val pr_abstract_universe_ctx : Evd.evar_map -> ?variance:UVars.Variance.t array -> ?priv:Univ.ContextSet.t -> UVars.AbstractContext.t -> Pp.t
val pr_universe_ctx_set : Evd.evar_map -> Univ.ContextSet.t -> Pp.t
val pr_universes : Evd.evar_map -> ?variance:UVars.Variance.t array -> ?priv:Univ.ContextSet.t -> Declarations.universes -> Pp.t

universe_binders_with_opt_names ref l

If l is Some univs return the universe binders naming the bound levels of ref by univs (generating names for Anonymous). May error if the lengths mismatch.

Otherwise return the bound universe names registered for ref.

Inefficient on large contexts due to name generation.

Printing global references using names as short as possible

val pr_global_env : Names.Id.Set.t -> Names.GlobRef.t -> Pp.t
val pr_global : Names.GlobRef.t -> Pp.t
val pr_constant : Environ.env -> Names.Constant.t -> Pp.t
val pr_existential_key : Environ.env -> Evd.evar_map -> Evar.t -> Pp.t
val pr_existential : Environ.env -> Evd.evar_map -> Constr.existential -> Pp.t
val pr_constructor : Environ.env -> Names.constructor -> Pp.t
val pr_inductive : Environ.env -> Names.inductive -> Pp.t
val pr_evaluable_reference : Evaluable.t -> Pp.t
val pr_pconstant : Environ.env -> Evd.evar_map -> Constr.pconstant -> Pp.t
val pr_pinductive : Environ.env -> Evd.evar_map -> Constr.pinductive -> Pp.t
val pr_pconstructor : Environ.env -> Evd.evar_map -> Constr.pconstructor -> Pp.t
val pr_notation_interpretation_env : Environ.env -> Evd.evar_map -> Glob_term.glob_constr -> Pp.t
val pr_notation_interpretation : Glob_term.glob_constr -> Pp.t

Contexts

val set_compact_context : bool -> unit

Display compact contexts of goals (simple hyps on the same line)

val get_compact_context : unit -> bool
val pr_context_unlimited : Environ.env -> Evd.evar_map -> Pp.t
val pr_ne_context_of : Pp.t -> Environ.env -> Evd.evar_map -> Pp.t
val pr_named_context : Environ.env -> Evd.evar_map -> Constr.named_context -> Pp.t
val pr_named_context_of : Environ.env -> Evd.evar_map -> Pp.t
val pr_rel_context : Environ.env -> Evd.evar_map -> Constr.rel_context -> Pp.t
val pr_rel_context_of : Environ.env -> Evd.evar_map -> Pp.t
val pr_context_of : Environ.env -> Evd.evar_map -> Pp.t

Predicates

val pr_predicate : ('a -> Pp.t) -> (bool * 'a list) -> Pp.t
val pr_cpred : Names.Cpred.t -> Pp.t
val pr_idpred : Names.Id.Pred.t -> Pp.t
val pr_prpred : Names.PRpred.t -> Pp.t
val pr_transparent_state : TransparentState.t -> Pp.t

Proofs, these functions obey Hyps Limit and Compact contexts.

val pr_open_subgoals : ?quiet:bool -> ?diffs:Proof.t option -> Proof.t -> Pp.t

pr_open_subgoals ~quiet ?diffs proof shows the context for proof as used by, for example, coqtop. The first active goal is printed with all its antecedents and the conclusion. The other active goals only show their conclusions. If diffs is Some oproof, highlight the differences between the old proof oproof, and proof. quiet disables printing messages as Feedback.

val pr_nth_open_subgoal : proof:Proof.t -> int -> Pp.t
val pr_evars_int : Evd.evar_map -> shelf:Evar.t list -> given_up:Evar.t list -> int -> Evd.undefined Evd.evar_info Evar.Map.t -> Pp.t
val pr_ne_evar_set : Pp.t -> Pp.t -> Evd.evar_map -> Evar.Set.t -> Pp.t
type axiom =
| Constant of Names.Constant.t
| Positive of Names.MutInd.t
| Guarded of Names.GlobRef.t
| TypeInType of Names.GlobRef.t
| UIP of Names.MutInd.t

Declarations for the "Print Assumption" command

type context_object =
| Variable of Names.Id.t
| Axiom of axiom * (Names.Label.t * Constr.rel_context * Constr.types) list
| Opaque of Names.Constant.t
| Transparent of Names.Constant.t
val pr_goal_by_id : proof:Proof.t -> Names.Id.t -> Pp.t
val pr_goal_emacs : proof:Proof.t option -> int -> int -> Pp.t
val pr_typing_flags : Declarations.typing_flags -> Pp.t
val print_goal_names : unit -> bool

Tells if flag "Printing Goal Names" is activated

module Debug : sig ... end

Debug printers

\ No newline at end of file diff --git a/master/corelib/Corelib.BinNums.IntDef.html b/master/corelib/Corelib.BinNums.IntDef.html index 8eff73e605..2054205c03 100644 --- a/master/corelib/Corelib.BinNums.IntDef.html +++ b/master/corelib/Corelib.BinNums.IntDef.html @@ -276,7 +276,7 @@

Library Corelib.BinNums.IntDef

-

Binary Integers, Definitions of Operations

+

Binary Integers, Definitions of Operations

@@ -291,7 +291,7 @@

Library Corelib.BinNums.IntDef

-

Doubling and variants

+

Doubling and variants

@@ -324,7 +324,7 @@

Library Corelib.BinNums.IntDef

-

Subtraction of positive into Z

+

Subtraction of positive into Z

@@ -347,7 +347,7 @@

Library Corelib.BinNums.IntDef

-

Addition

+

Addition

@@ -370,7 +370,7 @@

Library Corelib.BinNums.IntDef

-

Opposite

+

Opposite

@@ -390,7 +390,7 @@

Library Corelib.BinNums.IntDef

-

Subtraction

+

Subtraction

@@ -405,7 +405,7 @@

Library Corelib.BinNums.IntDef

-

Multiplication

+

Multiplication

@@ -428,7 +428,7 @@

Library Corelib.BinNums.IntDef

-

Power function

+

Power function

@@ -451,7 +451,7 @@

Library Corelib.BinNums.IntDef

-

Comparison

+

Comparison

@@ -520,7 +520,7 @@

Library Corelib.BinNums.IntDef

-

Minimum and maximum

+

Minimum and maximum

@@ -543,7 +543,7 @@

Library Corelib.BinNums.IntDef

-

Conversions

+

Conversions

@@ -607,11 +607,11 @@

Library Corelib.BinNums.IntDef

-

Euclidean divisions for binary integers

+

Euclidean divisions for binary integers

-

Floor division

+

Floor division

@@ -702,7 +702,7 @@

Library Corelib.BinNums.IntDef

-

Trunc Division

+

Trunc Division

@@ -763,7 +763,7 @@

Library Corelib.BinNums.IntDef

No infix notation for rem, otherwise it becomes a keyword
-

Parity functions

+

Parity functions

@@ -781,7 +781,7 @@

Library Corelib.BinNums.IntDef

-

Division by two

+

Division by two

@@ -804,7 +804,7 @@

Library Corelib.BinNums.IntDef

-

Square root

+

Square root

diff --git a/master/corelib/Corelib.BinNums.NatDef.html b/master/corelib/Corelib.BinNums.NatDef.html index 87811ec9ee..232d2efc26 100644 --- a/master/corelib/Corelib.BinNums.NatDef.html +++ b/master/corelib/Corelib.BinNums.NatDef.html @@ -270,7 +270,7 @@

Library Corelib.BinNums.NatDef

-

Binary natural numbers, definitions of operations

+

Binary natural numbers, definitions of operations

@@ -282,7 +282,7 @@

Library Corelib.BinNums.NatDef

-

Operation x -> 2*x+1

+

Operation x -> 2*x+1

@@ -298,7 +298,7 @@

Library Corelib.BinNums.NatDef

-

Operation x -> 2*x

+

Operation x -> 2*x

@@ -314,7 +314,7 @@

Library Corelib.BinNums.NatDef

-

The successor of a N can be seen as a positive

+

The successor of a N can be seen as a positive

diff --git a/master/corelib/Corelib.BinNums.PosDef.html b/master/corelib/Corelib.BinNums.PosDef.html index 23471499c2..07c2af74e0 100644 --- a/master/corelib/Corelib.BinNums.PosDef.html +++ b/master/corelib/Corelib.BinNums.PosDef.html @@ -267,7 +267,7 @@

Library Corelib.BinNums.PosDef

-

Binary positive numbers, operations

+

Binary positive numbers, operations

@@ -315,11 +315,11 @@

Library Corelib.BinNums.PosDef

-

Operations over positive numbers

+

Operations over positive numbers

-

Successor

+

Successor

@@ -336,7 +336,7 @@

Library Corelib.BinNums.PosDef

-

Addition

+

Addition

@@ -372,7 +372,7 @@

Library Corelib.BinNums.PosDef

-

Operation x -> 2*x-1

+

Operation x -> 2*x-1

@@ -389,7 +389,7 @@

Library Corelib.BinNums.PosDef

-

The predecessor of a positive number can be seen as a N

+

The predecessor of a positive number can be seen as a N

@@ -406,7 +406,7 @@

Library Corelib.BinNums.PosDef

-

An auxiliary type for subtraction

+

An auxiliary type for subtraction

@@ -421,7 +421,7 @@

Library Corelib.BinNums.PosDef

-

Operation x -> 2*x+1

+

Operation x -> 2*x+1

@@ -438,7 +438,7 @@

Library Corelib.BinNums.PosDef

-

Operation x -> 2*x

+

Operation x -> 2*x

@@ -455,7 +455,7 @@

Library Corelib.BinNums.PosDef

-

Operation x -> 2*x-2

+

Operation x -> 2*x-2

@@ -472,7 +472,7 @@

Library Corelib.BinNums.PosDef

-

Subtraction, result as a mask

+

Subtraction, result as a mask

@@ -505,7 +505,7 @@

Library Corelib.BinNums.PosDef

-

Subtraction, result as a positive, returning 1 if x<=y

+

Subtraction, result as a positive, returning 1 if x<=y

@@ -521,7 +521,7 @@

Library Corelib.BinNums.PosDef

-

Multiplication

+

Multiplication

@@ -538,7 +538,7 @@

Library Corelib.BinNums.PosDef

-

Iteration over a positive number

+

Iteration over a positive number

@@ -555,7 +555,7 @@

Library Corelib.BinNums.PosDef

-

Division by 2 rounded below but for 1

+

Division by 2 rounded below but for 1

@@ -588,7 +588,7 @@

Library Corelib.BinNums.PosDef

-

Comparison on binary positive numbers

+

Comparison on binary positive numbers

@@ -614,7 +614,7 @@

Library Corelib.BinNums.PosDef

-

Boolean equality and comparisons

+

Boolean equality and comparisons

@@ -636,7 +636,7 @@

Library Corelib.BinNums.PosDef

-

A Square Root function for positive numbers

+

A Square Root function for positive numbers

@@ -784,7 +784,7 @@

Library Corelib.BinNums.PosDef

-

From binary positive numbers to Peano natural numbers

+

From binary positive numbers to Peano natural numbers

@@ -806,7 +806,7 @@

Library Corelib.BinNums.PosDef

-

From Peano natural numbers to binary positive numbers

+

From Peano natural numbers to binary positive numbers

diff --git a/master/corelib/Corelib.Classes.CMorphisms.html b/master/corelib/Corelib.Classes.CMorphisms.html index 07616dd93a..9ac05a3254 100644 --- a/master/corelib/Corelib.Classes.CMorphisms.html +++ b/master/corelib/Corelib.Classes.CMorphisms.html @@ -267,7 +267,7 @@

Library Corelib.Classes.CMorphisms

-

Typeclass-based morphism definition and standard, minimal instances

+

Typeclass-based morphism definition and standard, minimal instances

@@ -296,7 +296,7 @@

Library Corelib.Classes.CMorphisms

-

Morphisms.

+

Morphisms.

diff --git a/master/corelib/Corelib.Classes.CRelationClasses.html b/master/corelib/Corelib.Classes.CRelationClasses.html index 72d870afc5..45a87b8bb8 100644 --- a/master/corelib/Corelib.Classes.CRelationClasses.html +++ b/master/corelib/Corelib.Classes.CRelationClasses.html @@ -267,7 +267,7 @@

Library Corelib.Classes.CRelationClasses

-

Typeclass-based relations, tactics and standard instances

+

Typeclass-based relations, tactics and standard instances

@@ -672,7 +672,7 @@

Library Corelib.Classes.CRelationClasses

We can already dualize all these properties.
-

Standard instances.

+

Standard instances.

@@ -825,7 +825,7 @@

Library Corelib.Classes.CRelationClasses

-

Partial Order.

+

Partial Order.

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 53ad8e09db..cbc6a5fd48 100644 --- a/master/corelib/Corelib.Classes.Equivalence.html +++ b/master/corelib/Corelib.Classes.Equivalence.html @@ -267,7 +267,7 @@

Library Corelib.Classes.Equivalence

-

Typeclass-based setoids. Definitions on Equivalence.

+

Typeclass-based setoids. Definitions on Equivalence.

diff --git a/master/corelib/Corelib.Classes.Init.html b/master/corelib/Corelib.Classes.Init.html index 26f377bd1a..b153ec7b8c 100644 --- a/master/corelib/Corelib.Classes.Init.html +++ b/master/corelib/Corelib.Classes.Init.html @@ -267,7 +267,7 @@

Library Corelib.Classes.Init

-

Initialization code for typeclasses, setting up the default tactic

+

Initialization code for typeclasses, setting up the default tactic

for instance search. diff --git a/master/corelib/Corelib.Classes.Morphisms.html b/master/corelib/Corelib.Classes.Morphisms.html index 9064643d89..db8fc44518 100644 --- a/master/corelib/Corelib.Classes.Morphisms.html +++ b/master/corelib/Corelib.Classes.Morphisms.html @@ -267,7 +267,7 @@

Library Corelib.Classes.Morphisms

-

Typeclass-based morphism definition and standard, minimal instances

+

Typeclass-based morphism definition and standard, minimal instances

@@ -292,7 +292,7 @@

Library Corelib.Classes.Morphisms

-

Morphisms.

+

Morphisms.

diff --git a/master/corelib/Corelib.Classes.Morphisms_Prop.html b/master/corelib/Corelib.Classes.Morphisms_Prop.html index f6a6394548..6f50c633cd 100644 --- a/master/corelib/Corelib.Classes.Morphisms_Prop.html +++ b/master/corelib/Corelib.Classes.Morphisms_Prop.html @@ -267,7 +267,7 @@

Library Corelib.Classes.Morphisms_Prop

-

Proper instances for propositional connectives.

+

Proper instances for propositional connectives.

diff --git a/master/corelib/Corelib.Classes.RelationClasses.html b/master/corelib/Corelib.Classes.RelationClasses.html index f1632ffc64..d31fd6e0fa 100644 --- a/master/corelib/Corelib.Classes.RelationClasses.html +++ b/master/corelib/Corelib.Classes.RelationClasses.html @@ -267,7 +267,7 @@

Library Corelib.Classes.RelationClasses

-

Typeclass-based relations, tactics and standard instances

+

Typeclass-based relations, tactics and standard instances

@@ -698,7 +698,7 @@

Library Corelib.Classes.RelationClasses

We can already dualize all these properties.
-

Standard instances.

+

Standard instances.

@@ -1065,7 +1065,7 @@

Library Corelib.Classes.RelationClasses

-

Partial Order.

+

Partial Order.

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 6229bdc16a..528e1fb0e1 100644 --- a/master/corelib/Corelib.Classes.SetoidTactics.html +++ b/master/corelib/Corelib.Classes.SetoidTactics.html @@ -267,7 +267,7 @@

Library Corelib.Classes.SetoidTactics

-

Tactics for typeclass-based setoids.

+

Tactics for typeclass-based setoids.

diff --git a/master/corelib/Corelib.Floats.FloatAxioms.html b/master/corelib/Corelib.Floats.FloatAxioms.html index 09fc5c6291..17bd50a8e9 100644 --- a/master/corelib/Corelib.Floats.FloatAxioms.html +++ b/master/corelib/Corelib.Floats.FloatAxioms.html @@ -271,7 +271,7 @@

Library Corelib.Floats.FloatAxioms

-

Properties of the primitive operators for the Binary64 format

+

Properties of the primitive operators for the Binary64 format

diff --git a/master/corelib/Corelib.Floats.FloatOps.html b/master/corelib/Corelib.Floats.FloatOps.html index e459c2996a..518d4c4095 100644 --- a/master/corelib/Corelib.Floats.FloatOps.html +++ b/master/corelib/Corelib.Floats.FloatOps.html @@ -271,7 +271,7 @@

Library Corelib.Floats.FloatOps

-

Derived operations and mapping between primitive floats and spec_floats

+

Derived operations and mapping between primitive floats and spec_floats

diff --git a/master/corelib/Corelib.Floats.PrimFloat.html b/master/corelib/Corelib.Floats.PrimFloat.html index 528026adb1..a863f807d7 100644 --- a/master/corelib/Corelib.Floats.PrimFloat.html +++ b/master/corelib/Corelib.Floats.PrimFloat.html @@ -270,7 +270,7 @@

Library Corelib.Floats.PrimFloat

-

Definition of the interface for primitive floating-point arithmetic

+

Definition of the interface for primitive floating-point arithmetic

@@ -279,7 +279,7 @@

Library Corelib.Floats.PrimFloat

IEEE 754-2008 standard.
-

Type definition for the co-domain of compare

+

Type definition for the co-domain of compare

@@ -295,7 +295,7 @@

Library Corelib.Floats.PrimFloat

-

The main type

+

The main type

float: primitive type for Binary64 floating-point numbers.
@@ -313,7 +313,7 @@

Library Corelib.Floats.PrimFloat

-

Syntax support

+

Syntax support

@@ -328,7 +328,7 @@

Library Corelib.Floats.PrimFloat

-

Floating-point operators

+

Floating-point operators

@@ -403,7 +403,7 @@

Library Corelib.Floats.PrimFloat

-

Conversions

+

Conversions

@@ -442,7 +442,7 @@

Library Corelib.Floats.PrimFloat

-

Exponent manipulation functions

+

Exponent manipulation functions

frshiftexp: convert a float to fractional part in [0.5, 1.) and integer part.
@@ -462,7 +462,7 @@

Library Corelib.Floats.PrimFloat

-

Predecesor/Successor functions

+

Predecesor/Successor functions

@@ -484,7 +484,7 @@

Library Corelib.Floats.PrimFloat

-

Special values (needed for pretty-printing)

+

Special values (needed for pretty-printing)

@@ -501,7 +501,7 @@

Library Corelib.Floats.PrimFloat

-

Other special values

+

Other special values

@@ -514,7 +514,7 @@

Library Corelib.Floats.PrimFloat

-

Predicates and helper functions

+

Predicates and helper functions

diff --git a/master/corelib/Corelib.Floats.SpecFloat.html b/master/corelib/Corelib.Floats.SpecFloat.html index 4c7b619528..1ca185b176 100644 --- a/master/corelib/Corelib.Floats.SpecFloat.html +++ b/master/corelib/Corelib.Floats.SpecFloat.html @@ -270,7 +270,7 @@

Library Corelib.Floats.SpecFloat

-

Specification of floating-point arithmetic

+

Specification of floating-point arithmetic

@@ -279,7 +279,7 @@

Library Corelib.Floats.SpecFloat

of the Flocq library (see http://flocq.gforge.inria.fr/)
-

Inductive specification of floating-point numbers

+

Inductive specification of floating-point numbers

@@ -297,7 +297,7 @@

Library Corelib.Floats.SpecFloat

-

Parameterized definitions

+

Parameterized definitions

@@ -460,7 +460,7 @@

Library Corelib.Floats.SpecFloat

-

Define operations

+

Define operations

diff --git a/master/corelib/Corelib.Init.Byte.html b/master/corelib/Corelib.Init.Byte.html index 773ae69a27..f9379bb6ee 100644 --- a/master/corelib/Corelib.Init.Byte.html +++ b/master/corelib/Corelib.Init.Byte.html @@ -267,7 +267,7 @@

Library Corelib.Init.Byte

-

Bytes

+

Bytes

diff --git a/master/corelib/Corelib.Init.Datatypes.html b/master/corelib/Corelib.Init.Datatypes.html index 1c77c946e4..5ac4a0e1ba 100644 --- a/master/corelib/Corelib.Init.Datatypes.html +++ b/master/corelib/Corelib.Init.Datatypes.html @@ -275,7 +275,7 @@

Library Corelib.Init.Datatypes

-

Datatypes with zero and one element

+

Datatypes with zero and one element

@@ -309,7 +309,7 @@

Library Corelib.Init.Datatypes

-

The boolean datatype

+

The boolean datatype

@@ -339,7 +339,7 @@

Library Corelib.Init.Datatypes

-

Reflect: a specialized inductive type for

+

Reflect: a specialized inductive type for

relating propositions and booleans, as popularized by the Ssreflect library. @@ -505,7 +505,7 @@

Library Corelib.Init.Datatypes

-

Peano natural numbers

+

Peano natural numbers

@@ -540,7 +540,7 @@

Library Corelib.Init.Datatypes

-

Container datatypes

+

Container datatypes

@@ -745,7 +745,7 @@

Library Corelib.Init.Datatypes

-

The comparison datatype

+

The comparison datatype

@@ -863,7 +863,7 @@

Library Corelib.Init.Datatypes

-

Misc Other Datatypes

+

Misc Other Datatypes

diff --git a/master/corelib/Corelib.Init.Decimal.html b/master/corelib/Corelib.Init.Decimal.html index b127b0f08d..526bfe4487 100644 --- a/master/corelib/Corelib.Init.Decimal.html +++ b/master/corelib/Corelib.Init.Decimal.html @@ -267,7 +267,7 @@

Library Corelib.Init.Decimal

-

Decimal numbers

+

Decimal numbers

diff --git a/master/corelib/Corelib.Init.Hexadecimal.html b/master/corelib/Corelib.Init.Hexadecimal.html index e01bce63ea..ccce0a96f3 100644 --- a/master/corelib/Corelib.Init.Hexadecimal.html +++ b/master/corelib/Corelib.Init.Hexadecimal.html @@ -267,7 +267,7 @@

Library Corelib.Init.Hexadecimal

-

Hexadecimal numbers

+

Hexadecimal numbers

diff --git a/master/corelib/Corelib.Init.Logic.html b/master/corelib/Corelib.Init.Logic.html index e402818912..ccaee2f8d6 100644 --- a/master/corelib/Corelib.Init.Logic.html +++ b/master/corelib/Corelib.Init.Logic.html @@ -277,7 +277,7 @@

Library Corelib.Init.Logic

-

Propositional connectives

+

Propositional connectives

@@ -532,7 +532,7 @@

Library Corelib.Init.Logic

-

First-order quantifiers

+

First-order quantifiers

@@ -685,7 +685,7 @@

Library Corelib.Init.Logic

-

Equality

+

Equality

@@ -1085,7 +1085,7 @@

Library Corelib.Init.Logic

-

Being inhabited

+

Being inhabited

diff --git a/master/corelib/Corelib.Init.Nat.html b/master/corelib/Corelib.Init.Nat.html index 9550c19ce4..9e784cd61b 100644 --- a/master/corelib/Corelib.Init.Nat.html +++ b/master/corelib/Corelib.Init.Nat.html @@ -272,7 +272,7 @@

Library Corelib.Init.Nat

-

Peano natural numbers, definitions of operations

+

Peano natural numbers, definitions of operations

@@ -289,7 +289,7 @@

Library Corelib.Init.Nat

-

Constants

+

Constants

@@ -308,7 +308,7 @@

Library Corelib.Init.Nat

-

Basic operations

+

Basic operations

@@ -377,7 +377,7 @@

Library Corelib.Init.Nat

-

Comparisons

+

Comparisons

@@ -423,7 +423,7 @@

Library Corelib.Init.Nat

-

Minimum, maximum

+

Minimum, maximum

@@ -448,7 +448,7 @@

Library Corelib.Init.Nat

-

Parity tests

+

Parity tests

@@ -468,7 +468,7 @@

Library Corelib.Init.Nat

-

Power

+

Power

@@ -486,7 +486,7 @@

Library Corelib.Init.Nat

-

Tail-recursive versions of add and mul

+

Tail-recursive versions of add and mul

@@ -520,7 +520,7 @@

Library Corelib.Init.Nat

-

Conversion with a decimal representation for printing/parsing

+

Conversion with a decimal representation for printing/parsing

@@ -644,7 +644,7 @@

Library Corelib.Init.Nat

-

Euclidean division

+

Euclidean division

@@ -687,7 +687,7 @@

Library Corelib.Init.Nat

-

Greatest common divisor

+

Greatest common divisor

@@ -709,7 +709,7 @@

Library Corelib.Init.Nat

-

Square

+

Square

@@ -721,7 +721,7 @@

Library Corelib.Init.Nat

-

Square root

+

Square root

@@ -759,7 +759,7 @@

Library Corelib.Init.Nat

-

Log2

+

Log2

diff --git a/master/corelib/Corelib.Init.Number.html b/master/corelib/Corelib.Init.Number.html index 3c27b6765e..942cfc28c3 100644 --- a/master/corelib/Corelib.Init.Number.html +++ b/master/corelib/Corelib.Init.Number.html @@ -267,7 +267,7 @@

Library Corelib.Init.Number

-

Decimal or Hexadecimal numbers

+

Decimal or Hexadecimal numbers

diff --git a/master/corelib/Corelib.Init.Tactics.html b/master/corelib/Corelib.Init.Tactics.html index 7c365bc394..44e83fd230 100644 --- a/master/corelib/Corelib.Init.Tactics.html +++ b/master/corelib/Corelib.Init.Tactics.html @@ -273,7 +273,7 @@

Library Corelib.Init.Tactics

-

Useful tactics

+

Useful tactics

@@ -594,7 +594,7 @@

Library Corelib.Init.Tactics

-

inversion_sigma

+

inversion_sigma

The built-in inversion will frequently leave equalities of dependent pairs. When the first type in the pair is an hProp or otherwise simplifies, inversion_sigma is useful; it will replace diff --git a/master/corelib/Corelib.Init.Tauto.html b/master/corelib/Corelib.Init.Tauto.html index b3755fde80..285af507e7 100644 --- a/master/corelib/Corelib.Init.Tauto.html +++ b/master/corelib/Corelib.Init.Tauto.html @@ -267,7 +267,7 @@

Library Corelib.Init.Tauto

-

The tauto and intuition tactics

+

The tauto and intuition tactics

diff --git a/master/corelib/Corelib.Init.Wf.html b/master/corelib/Corelib.Init.Wf.html index 06d5ae55c2..df026b2c25 100644 --- a/master/corelib/Corelib.Init.Wf.html +++ b/master/corelib/Corelib.Init.Wf.html @@ -267,7 +267,7 @@

Library Corelib.Init.Wf

-

This module proves the validity of

+

This module proves the validity of

  • 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 6ecaee6628..abf059dd11 100644 --- a/master/corelib/Corelib.Lists.ListDef.html +++ b/master/corelib/Corelib.Lists.ListDef.html @@ -270,7 +270,7 @@

    Library Corelib.Lists.ListDef

-

Basics: definition of polymorphic lists and some operations

+

Basics: definition of polymorphic lists and some operations

@@ -283,7 +283,7 @@

Library Corelib.Lists.ListDef

-

Map

+

Map

@@ -351,7 +351,7 @@

Library Corelib.Lists.ListDef

-

Nth element of a list

+

Nth element of a list

@@ -404,7 +404,7 @@

Library Corelib.Lists.ListDef

-

Existential and universal predicates over lists

+

Existential and universal predicates over lists

@@ -433,7 +433,7 @@

Library Corelib.Lists.ListDef

-

List comparison

+

List comparison

diff --git a/master/corelib/Corelib.Strings.PrimStringAxioms.html b/master/corelib/Corelib.Strings.PrimStringAxioms.html index 2d1a03a10a..6db6bbd201 100644 --- a/master/corelib/Corelib.Strings.PrimStringAxioms.html +++ b/master/corelib/Corelib.Strings.PrimStringAxioms.html @@ -274,7 +274,7 @@

Library Corelib.Strings.PrimStringAxioms

-

Conversion to / from lists

+

Conversion to / from lists

@@ -313,7 +313,7 @@

Library Corelib.Strings.PrimStringAxioms

-

Axioms relating string operations with list operations

+

Axioms relating string operations with list operations

diff --git a/master/corelib/index_global_T.html b/master/corelib/index_global_T.html index 9735b2585f..474c8d6888 100644 --- a/master/corelib/index_global_T.html +++ b/master/corelib/index_global_T.html @@ -743,8 +743,8 @@

T

t [definition, in Corelib.Init.Nat]
-Tactics [library]
Tactics [library]
+Tactics [library]
tactic_view [constructor, in Corelib.ssr.ssreflect]
tag [definition, in Corelib.ssr.ssrfun]
Tag [section, in Corelib.ssr.ssrfun]
diff --git a/master/corelib/index_global_W.html b/master/corelib/index_global_W.html index 813b41b2b1..f2477cb152 100644 --- a/master/corelib/index_global_W.html +++ b/master/corelib/index_global_W.html @@ -772,8 +772,8 @@ Well_founded.R [variable, in Corelib.Init.Wf]
Well_founded.A [variable, in Corelib.Init.Wf]
Well_founded [section, in Corelib.Init.Wf]
-Wf [library]
Wf [library]
+Wf [library]
wlog_neg [lemma, in Corelib.ssr.ssrbool]
wrap [definition, in Corelib.ssr.ssrfun]
wrapped [record, in Corelib.ssr.ssrfun]
diff --git a/master/corelib/index_library_T.html b/master/corelib/index_library_T.html index f87caa8eea..94b7fd28a7 100644 --- a/master/corelib/index_library_T.html +++ b/master/corelib/index_library_T.html @@ -742,8 +742,8 @@

T (library)

-Tactics
Tactics
+Tactics
Tauto
TransparentState


diff --git a/master/corelib/index_library_W.html b/master/corelib/index_library_W.html index fcf7a69e33..a2903c0bec 100644 --- a/master/corelib/index_library_W.html +++ b/master/corelib/index_library_W.html @@ -742,8 +742,8 @@

W (library)

-Wf
Wf
+Wf


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  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
  • Version 8.20
  • Version 8.19
  • Version 8.18
  • Version 8.17
  • Version 8.16
  • Version 8.15
  • Version 8.14
  • Version 8.13
  • Version 8.12
  • Version 8.11
  • Version 8.10
  • Version 8.9
  • Version 8.8
  • Version 8.7
  • Version 8.6
  • Version 8.5
  • Version 8.4
  • Version 8.3
  • Version 8.2
  • Version 8.1
  • Version 8.0
      -
    • Summary of changes
      • +
    • Summary of changes
    • Details of changes in 8.0beta old syntax
    • Details of changes in 8.0beta new syntax
    • Details of changes in 8.0
      • @@ -1264,36 +1264,36 @@

      Unreleased changes

      -

      Kernel

      +

      Kernel

      -

      Specification language, type inference

      +

      Specification language, type inference

      -

      Notations

      +

      Notations

      -

      Tactics

      +

      Tactics

      -

      Ltac language

      +

      Ltac language

      -

      Ltac2 language

      +

      Ltac2 language

      -

      Commands and options

      +

      Commands and options

      -

      Command-line tools

      +

      Command-line tools

      • Changed: rocq timelog2html now needs package rocq-devtools to be installed @@ -1340,19 +1340,27 @@

        Command-line tools -

        RocqIDE

        +

        RocqIDE

        +
          +

        • Changed: +default character encoding is UTF8 (it was locale dependent on non-windows OSes), +and when the configured encoding is not UTF8 RocqIDE will attempt to convert input files even if they are already valid UTF8 +(#20256, +fixes #11526, +by Gaëtan Gilbert).

          • +
      -

      Standard library

      +

      Standard library

      -

      Infrastructure and dependencies

      +

      Infrastructure and dependencies

      -

      Extraction

      +

      Extraction

      -

      Miscellaneous

      +

      Miscellaneous

      @@ -1362,24 +1370,24 @@

      Summary of changes

      Changes in 9.0.0

      -
      -
        -

      • Kernel

        • -

      • Specification language, type inference

        • -

      • Notations

        • -

      • Tactics

        • -

      • Ltac2 language

        • -

      • SSReflect

        • -

      • Commands and options

        • -

      • Command-line tools

        • -

      • RocqIDE

        • -

      • Standard library

        • -

      • Infrastructure and dependencies

        • -

      • Miscellaneous

        • + -
        -

        Kernel

        +
        +

        Kernel

        • Changed: large performance improvements in kernel checking of terms with repeated subterms @@ -1412,8 +1420,8 @@

          Kernel -

          Specification language, type inference

          +
          +

          Specification language, type inference

          -
          -

          Notations

          +
          +

          Notations

          • Fixed: Recognized all Unicode non-spacing marks as valid identifier characters @@ -1500,8 +1508,8 @@

            Notations

          -
          -

          Tactics

          +
          +

          Tactics

          • Changed: The reduction tactic hnf becomes insensitive to the @@ -1562,8 +1570,8 @@

            Tactics

          -
          -

          Ltac2 language

          +
          +

          Ltac2 language

          • Added: Added Ltac2 bindings for congruence and simpl congruence, it fixes #14289 not entirely but provides Ltac2 bindings for one of the tactics listed there @@ -1603,8 +1611,8 @@

            Ltac2 language -

            SSReflect

            +
            +

            SSReflect

            • Changed: The done tactic now tries to apply sym_equal with four arguments @@ -1622,8 +1630,8 @@

              SSReflect

            -
            -

            Commands and options

            +
            +

            Commands and options

            • Changed: Variables and its aliases does not share the type of combined binders anymore. @@ -1730,8 +1738,8 @@

              Commands and options -

              Command-line tools

              +
              +

              Command-line tools

              • Changed: The -compat command line option @@ -1763,8 +1771,8 @@

                Command-line tools -

                RocqIDE

                +
                +

                RocqIDE

                • Changed: Improved Preferences dialog: larger margins, @@ -1807,8 +1815,8 @@

                  RocqIDE

                -
                -

                Standard library

                +
                +

                Standard library

                • Changed: Stdlib moved to its own repository, look for @@ -1824,8 +1832,8 @@

                  Standard library -

                  Infrastructure and dependencies

                  +
                  +

                  Infrastructure and dependencies

                  • Changed: when building Coq, the makefile's world target and dune build's default target do not build rocqide anymore. @@ -1846,8 +1854,8 @@

                    Infrastructure and dependencies

                  -
                  -

                  Miscellaneous

                  +
                  +

                  Miscellaneous

                  • Changed: the current working directory is not implicitly added to the ML search path @@ -1863,8 +1871,8 @@

                    Miscellaneous

                    Version 8.20

                    -
                    -

                    Summary of changes

                    +
                    +

                    Summary of changes

                    Coq version 8.20 adds a new rewrite rule mechanism along with a few new features, a host of improvements to the virtual machine, the notation system, Ltac2 and the standard library.

                    @@ -1966,25 +1974,25 @@

                    Summary of changes

                    Changes in 8.20.0

                    -
                    -
                      -

                    • Kernel

                      • -

                    • Specification language, type inference

                      • -

                    • Notations

                      • -

                    • Tactics

                      • -

                    • Ltac language

                      • -

                    • Ltac2 language

                      • -

                    • SSReflect

                      • -

                    • Commands and options

                      • -

                    • Command-line tools

                      • -

                    • CoqIDE

                      • -

                    • Standard library

                      • -

                    • Infrastructure and dependencies

                      • -

                    • Extraction

                      • + -
                      -

                      Kernel

                      +
                      +

                      Kernel

                      • Changed: The guard checker now recognizes uniform parameters of a @@ -2003,7 +2011,7 @@

                        Kernel -

                        Specification language, type inference

                        +

                        Specification language, type inference

                        • Changed: warnings future-coercion-class-constructor @@ -2117,8 +2125,8 @@

                          Kernel -

                          Notations

                          +
                          +

                          Notations

                          • Changed: an only printing interpretation of a notation with a specific @@ -2160,8 +2168,8 @@

                            Notations

                          -
                          -

                          Tactics

                          +
                          +

                          Tactics

                          • Changed: When using Z.to_euclidean_division_equations, nia can now relate @@ -2276,8 +2284,8 @@

                            Tactics

                          -
                          -

                          Ltac language

                          +
                          +

                          Ltac language

                          -
                          -

                          Ltac2 language

                          +
                          +

                          Ltac2 language

                          • Changed: recursive let and non mutable projections of syntactic values are considered syntactic values @@ -2395,8 +2403,8 @@

                            Ltac2 language -

                            SSReflect

                            +
                            +

                            SSReflect

                            • Changed: ssreflect no longer relies on the recovery mechanism @@ -2430,8 +2438,8 @@

                              SSReflect

                            -
                            -

                            Commands and options

                            +
                            +

                            Commands and options

                            • Changed: the default reversibility status of most coercions. @@ -2561,8 +2569,8 @@

                              Commands and options -

                              Command-line tools

                              +
                              +

                              Command-line tools

                              • Changed: signal SIGINT interrupts the process with " "user interrupt" error @@ -2583,7 +2591,7 @@

                                Command-line tools -

                                CoqIDE

                                +

                                CoqIDE

                                • Changed: Find/replace UI was improved: margins, icons for found/not found @@ -2634,7 +2642,7 @@

                                  CoqIDE -

                                  Standard library

                                  +

                                  Standard library

                                  • Changed: names of "push" lemmas for List.length to follow the same convention as push lemmas for other operations. For example, app_length @@ -2796,8 +2804,8 @@

                                    CoqIDE -

                                    Infrastructure and dependencies

                                    +
                                    +

                                    Infrastructure and dependencies

                                    -
                                    -

                                    Extraction

                                    +
                                    +

                                    Extraction

                                    • Added: Extension for OCaml extraction: @@ -2862,15 +2870,15 @@

                                      Extraction

                                      Changes in 8.20.1

                                      -
                                      + -
                                      -

                                      Kernel

                                      +
                                      +

                                      Kernel

                                      • Fixed: Possible guard checker anomaly on fixpoints containing an inner @@ -2881,8 +2889,8 @@

                                        Kernel -

                                        Notations

                                        +
                                        +

                                        Notations

                                        • Fixed: spurious warning about incompatible prefixes in presence of as @@ -2898,8 +2906,8 @@

                                          Notations

                                        -
                                        -

                                        Tactics

                                        +
                                        +

                                        Tactics

                                        • Fixed: a regression in Hint Extern matching primitive projections @@ -2912,8 +2920,8 @@

                                          Tactics

                                          Version 8.19

                                          -
                                          -

                                          Summary of changes

                                          +
                                          +

                                          Summary of changes

                                          Coq version 8.19 extends the kernel universe polymorphism to polymorphism over sorts (e.g. Prop, SProp) along with a few new features, a host of improvements to the notation system, the Ltac2 @@ -3012,22 +3020,22 @@

                                          Summary of changes

                                          Changes in 8.19.0

                                          -
                                          -
                                            -

                                          • Kernel

                                            • -

                                          • Specification language, type inference

                                            • -

                                          • Notations

                                            • -

                                          • Tactics

                                            • -

                                          • Ltac language

                                            • -

                                          • Ltac2 language

                                            • -

                                          • Commands and options

                                            • -

                                          • Command-line tools

                                            • -

                                          • Standard library

                                            • -

                                          • Extraction

                                            • + -
                                            -

                                            Kernel

                                            +
                                            +

                                            Kernel

                                            • Added: Sort polymorphism makes it possible to share common constructs @@ -3042,8 +3050,8 @@

                                              Kernel -

                                              Specification language, type inference

                                              +
                                              +

                                              Specification language, type inference

                                              -
                                              -

                                              Notations

                                              +
                                              +

                                              Notations

                                              • Changed: More informative message when a notation cannot be intepreted as a reference @@ -3182,8 +3190,8 @@

                                                Notations

                                              -
                                              -

                                              Tactics

                                              +
                                              +

                                              Tactics

                                              • Changed: open_constr in Ltac1 and Ltac2 does not perform evar normalization. @@ -3292,8 +3300,8 @@

                                                Tactics

                                              -
                                              -

                                              Ltac language

                                              +
                                              +

                                              Ltac language

                                              • Fixed: Fix broken "r <num>" and "r <string>" commands in the coqtop @@ -3304,7 +3312,7 @@

                                                Ltac language

                                              -

                                              Ltac2 language

                                              +

                                              Ltac2 language

                                              • Changed: Array.empty, Message.Format.stop and Pattern.empty_context are not thunked @@ -3375,8 +3383,8 @@

                                                Ltac language

                                              -
                                              -

                                              Commands and options

                                              +
                                              +

                                              Commands and options

                                              • Changed: Let with Qed produces an opaque side definition @@ -3433,8 +3441,8 @@

                                                Commands and options -

                                                Command-line tools

                                                +
                                                +

                                                Command-line tools

                                                • Changed: Add a coqdep option -w to adjust warnings and allow turning then into @@ -3462,7 +3470,7 @@

                                                  Command-line tools -

                                                  Standard library

                                                  +

                                                  Standard library

                                                  • Changed: reimplemented Ncring_tac reification (used by nsatz, cring, but not ring) @@ -3519,8 +3527,8 @@

                                                    Command-line tools -

                                                    Extraction

                                                    +
                                                    +

                                                    Extraction

                                                    • Fixed: In the error message about extraction of sort-polymorphic @@ -3534,17 +3542,17 @@

                                                      Extraction

                                                      Changes in 8.19.1

                                                      -
                                                      + -
                                                      -

                                                      Kernel

                                                      +
                                                      +

                                                      Kernel

                                                      • Fixed: incorrect abstraction of sort variables for opaque constants @@ -3559,8 +3567,8 @@

                                                        Kernel -

                                                        Notations

                                                        +
                                                        +

                                                        Notations

                                                        -
                                                        -

                                                        Tactics

                                                        +
                                                        +

                                                        Tactics

                                                        • Fixed: undeclared universe with multiple uses of abstract @@ -3578,8 +3586,8 @@

                                                          Tactics

                                                        -
                                                        -

                                                        Ltac2 language

                                                        +
                                                        +

                                                        Ltac2 language

                                                        • Fixed: incorrect printing of constructor values with multiple arguments, @@ -3594,8 +3602,8 @@

                                                          Ltac2 language -

                                                          Infrastructure and dependencies

                                                          +
                                                          +

                                                          Infrastructure and dependencies

                                                          • Fixed: missing conf- dependencies of the opam packages: @@ -3613,19 +3621,19 @@

                                                            Infrastructure and dependencies

                                                            Changes in 8.19.2

                                                            -
                                                            + -
                                                            -

                                                            Specification language, type inference

                                                            +
                                                            +

                                                            Specification language, type inference

                                                            -
                                                            -

                                                            Notations

                                                            +
                                                            +

                                                            Notations

                                                            • Fixed: Printer sometimes failing to use a prefix or infix custom notation @@ -3646,8 +3654,8 @@

                                                              Notations

                                                            -
                                                            -

                                                            Tactics

                                                            +
                                                            +

                                                            Tactics

                                                            • Fixed: abstract failing in the presence of admitted goals in the surrounding proof @@ -3656,8 +3664,8 @@

                                                              Tactics

                                                            -
                                                            -

                                                            Ltac2 language

                                                            +
                                                            +

                                                            Ltac2 language

                                                            @@ -5300,24 +5308,24 @@

                                                            Summary of changes

                                                            Changes in 8.16.0

                                                            -
                                                            -
                                                              -

                                                            • Kernel

                                                              • -

                                                            • Specification language, type inference

                                                              • -

                                                            • Notations

                                                              • -

                                                            • Tactics

                                                              • -

                                                            • Tactic language

                                                              • -

                                                            • SSReflect

                                                              • -

                                                            • Commands and options

                                                              • -

                                                            • Command-line tools

                                                              • -

                                                            • CoqIDE

                                                              • -

                                                            • Standard library

                                                              • -

                                                            • Infrastructure and dependencies

                                                              • -

                                                            • Extraction

                                                              • + -
                                                              -

                                                              Kernel

                                                              +
                                                              +

                                                              Kernel

                                                                @@ -5368,8 +5376,8 @@

                                                                Kernel -

                                                                Specification language, type inference

                                                                +
                                                                +

                                                                Specification language, type inference

                                                                -
                                                                -

                                                                Notations

                                                                +
                                                                +

                                                                Notations

                                                                -
                                                                -

                                                                Tactics

                                                                +
                                                                +

                                                                Tactics

                                                                • Changed: The RewriteRelation type class is now used to declare relations @@ -5526,7 +5534,7 @@

                                                                  Tactics

                                                                -

                                                                Tactic language

                                                                +

                                                                Tactic language

                                                                • Changed: Ltac match does not fail when the term to match contains an unfolded primitive projection @@ -5549,8 +5557,8 @@

                                                                  Tactic language -

                                                                  SSReflect

                                                                  +
                                                                  +

                                                                  SSReflect

                                                                  -
                                                                  -

                                                                  Commands and options

                                                                  +
                                                                  +

                                                                  Commands and options

                                                                    @@ -5672,8 +5680,8 @@

                                                                    Commands and options -

                                                                    Command-line tools

                                                                    +
                                                                    +

                                                                    Command-line tools

                                                                    • Added: coq_makefile variable COQPLUGININSTALL to configure the installation of ML plugins @@ -5691,8 +5699,8 @@

                                                                      Command-line tools -

                                                                      CoqIDE

                                                                      +
                                                                      +

                                                                      CoqIDE

                                                                      • Added: Documentation of editing failed async mode proofs, @@ -5702,11 +5710,11 @@

                                                                        CoqIDE -

                                                                        Standard library

                                                                        +
                                                                        +

                                                                        Standard library

                                                                        -
                                                                          +

                                                                          • Changed: the signature scope of Classes.CMorphisms into signatureT (#15446, @@ -5784,8 +5792,8 @@

                                                                            Standard library -

                                                                            Infrastructure and dependencies

                                                                            +
                                                                            +

                                                                            Infrastructure and dependencies

                                                                            -
                                                                            -

                                                                            Extraction

                                                                            +
                                                                            +

                                                                            Extraction

                                                                            -
                                                                              +
                                                                            • Version 8.20
                                                                            • Version 8.19
                                                                            • Version 8.18
                                                                            • Version 8.17
                                                                            • Version 8.16
                                                                            • Version 8.15
                                                                            • Version 8.14
                                                                            • Version 8.13
                                                                            • Version 8.12
                                                                            • Version 8.11
                                                                            • Version 8.10
                                                                            • Version 8.9
                                                                            • Version 8.8
                                                                            • Version 8.7
                                                                            • Version 8.6
                                                                            • Version 8.5
                                                                            • Version 8.4
                                                                            • Version 8.3
                                                                            • Version 8.2
                                                                            • Version 8.1
                                                                            • Version 8.0
                                                                            • Version 8.20
                                                                            • Version 8.19
                                                                            • Version 8.18
                                                                            • Version 8.17
                                                                            • Version 8.16
                                                                            • Version 8.15
                                                                            • Version 8.14
                                                                            • Version 8.13
                                                                            • Version 8.12
                                                                            • Version 8.11
                                                                            • Version 8.10
                                                                            • Version 8.9
                                                                            • Version 8.8
                                                                            • Version 8.7
                                                                            • Version 8.6
                                                                            • Version 8.5
                                                                            • Version 8.4
                                                                            • Version 8.3
                                                                            • Version 8.2
                                                                            • Version 8.1
                                                                            • Version 8.0
                                                                            • Version 8.20
                                                                            • Version 8.19
                                                                            • Version 8.18
                                                                            • Version 8.17
                                                                            • Version 8.16
                                                                            • Version 8.15
                                                                            • Version 8.14
                                                                            • Version 8.13
                                                                            • Version 8.12
                                                                            • Version 8.11
                                                                            • Version 8.10
                                                                            • Version 8.9
                                                                            • Version 8.8
                                                                            • Version 8.7
                                                                            • Version 8.6
                                                                            • Version 8.5
                                                                            • Version 8.4
                                                                            • Version 8.3
                                                                            • Version 8.2
                                                                            • Version 8.1
                                                                            • Version 8.0
                                                                            • Version 8.20
                                                                            • Version 8.19
                                                                            • Version 8.18
                                                                            • Version 8.17
                                                                            • Version 8.16
                                                                            • Version 8.15
                                                                            • Version 8.14
                                                                            • Version 8.13
                                                                            • Version 8.12
                                                                            • Version 8.11
                                                                            • Version 8.10
                                                                            • Version 8.9
                                                                            • Version 8.8
                                                                            • Version 8.7
                                                                            • Version 8.6
                                                                            • Version 8.5
                                                                            • Version 8.4
                                                                            • Version 8.3
                                                                            • Version 8.2
                                                                            • Version 8.1
                                                                            • Version 8.0
                                                                            • Version 8.20
                                                                            • Version 8.19
                                                                            • Version 8.18
                                                                            • Version 8.17
                                                                            • Version 8.16
                                                                            • Version 8.15
                                                                            • Version 8.14
                                                                            • Version 8.13
                                                                            • Version 8.12
                                                                            • Version 8.11
                                                                            • Version 8.10
                                                                            • Version 8.9
                                                                            • Version 8.8
                                                                            • Version 8.7
                                                                            • Version 8.6
                                                                            • Version 8.5
                                                                            • Version 8.4
                                                                            • Version 8.3
                                                                            • Version 8.2
                                                                            • Version 8.1
                                                                            • Version 8.0
                                                                                -
                                                                              • Summary of changes
                                                                                • +
                                                                              • Summary of changes
                                                                              • Details of changes in 8.0beta old syntax
                                                                              • Details of changes in 8.0beta new syntax
                                                                              • Details of changes in 8.0
                                                                                • diff --git a/master/refman/searchindex.js b/master/refman/searchindex.js index 64dc009f9b..9f9c20f20c 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", 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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, 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"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, 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"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 'rename' 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 "at" clause without "with" 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 "all" modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple 'via' options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple 'warning after' or 'abstract after' 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 "-allow-rewrite-rules""], [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 "Allow StrictProp" 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 'Notation' (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:--succeeds", "Tactic failure: <tactic closure> 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 "at" syntax isn't available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The & 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 'abstract after' 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 'clear implicits' flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The 'default implicits' 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 "\u2018type\u2019" has type "\u2018type\u2019" 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'"], [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: "\u2018setting_name\u2019""], [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: "\u2018setting_name\u2019""], [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: "\u2018setting_name\u2019""], [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: "\u2018setting_name\u2019""], [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 'rename' 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 "Variable" or "Hypothesis" outside sections behaves as "#[local] Parameter" or "#[local] Axiom""], [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)", "[> \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 "Proof using" 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'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 "Proof." with "Qed." or "Defined."": [[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 "Nested Proofs Allowed" 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 ': assert' to silence the warning. If you want to clear implicit arguments, add ': clear implicits'": [[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 ': clear scopes'"]], "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 "..." on hypothesis of type "..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", """]], "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 "_""]], "\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 "_""]]}, "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, 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"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, "id7"], [17, "id116"], [17, "id308"], [17, "id331"], [17, "id482"], [17, "id526"], [17, "id672"], [17, "id833"], [17, "id974"], [17, "id996"], [17, "id1164"], [17, "id1224"], [17, "id1397"], [17, "id1418"], [17, "id1565"], [17, "id1569"], [17, "id1583"]], "Specification language, type inference": [[17, "specification-language-type-inference"], [17, "id14"], [17, "changes-spec-language"], [17, "id336"], [17, "id502"], [17, "id532"], [17, "id677"], [17, "id845"], [17, "id999"], [17, "id1231"], [17, "id1400"], [17, "id1428"], [17, "id1586"]], "Notations": [[17, "notations"], [17, "id33"], [17, "id144"], [17, "id311"], [17, "id348"], [17, "id487"], [17, "id505"], [17, "id545"], [17, "id683"], [17, "id857"], [17, "id1010"], [17, "id1169"], [17, "id1242"], [17, "id1457"], [17, "id1607"], [27, "notations"], [55, "notations"], [71, "notations"]], "Tactics": [[17, "tactics"], [17, "id36"], [17, "id153"], [17, "id316"], [17, "id383"], [17, "id489"], [17, "id508"], [17, "id558"], [17, "id691"], [17, "id863"], [17, "id1027"], [17, "id1172"], [17, "id1197"], [17, "id1259"], [17, "id1403"], [17, "id1490"], [17, "id1628"], [27, "tactics"], [57, "tactics"], [58, "tactics"], [60, "tactics"], [72, "tactics"]], "Ltac language": [[17, "ltac-language"], [17, "id180"], [17, "id418"], [17, "id711"]], "Ltac2 language": [[17, "ltac2-language"], [17, "id50"], [17, "id185"], [17, "ltac2"], [17, "id492"], [17, "id511"], [17, "id578"], [17, "id714"]], "SSReflect": [[17, "ssreflect"], [17, "id61"], [17, "id210"], [17, "id738"], [17, "id897"], [17, "id1077"], [17, "id1316"], [17, "id1517"], [17, "id1678"]], "Commands and options": [[17, "commands-and-options"], [17, "id65"], [17, "id219"], [17, "id440"], [17, "id513"], [17, "id596"], [17, "id740"], [17, "id899"], [17, "id983"], [17, "id1086"], [17, "id1319"], [17, "id1408"], [17, "id1521"], [17, "id1563"]], "Command-line tools": [[17, "command-line-tools"], [17, "id87"], [17, "id250"], [17, "id458"], [17, "id627"], [17, "id769"], [17, "id925"], [17, "id1118"], [17, "id1181"], [17, "id1342"]], "RocqIDE": [[17, "rocqide"], [17, "id93"], [52, "rocqide"]], "Standard library": [[17, "standard-library"], [17, "id102"], [17, "renaming-stdlib"], [17, "stdlib"], [17, "id639"], [17, "id775"], [17, "id932"], [17, "id1140"], [17, "id1214"], [17, 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"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, "id517"], [17, "id636"], [17, "id930"], [17, "id986"], [17, "id1133"], [17, "id1183"], [17, "id1202"], [17, "id1357"], [17, "id1539"], [17, "id1567"], [17, "id1745"]], "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, "id1074"], [17, "id1296"], [17, "id1511"], [17, "id1574"], [17, "id1669"]], "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, "id1710"], [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, "id1692"], [57, 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"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 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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, "id2180"], [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: succeeds (error)": [[54, "coq:exn.Tactic-failure:--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": ["<no title>", "<no title>", "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 match construct", "Setting properties of a function's arguments", "Canonical Structures", "Existential variables", "Implicit arguments", "Language extensions", "Extended pattern matching", "<no title>", "<no title>", "<no title>", "<no title>", "The Rocq Prover commands", "RocqIDE", "Building Rocq Projects", "Ltac", "Ltac2", "<no title>", "The SSReflect 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", "<no title>", "Glossary index", "<no title>", "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, 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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, 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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, 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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, 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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, 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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": 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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, 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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, 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"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, 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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, 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"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": 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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, 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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, 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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": {""All" 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't be redefined"]], "": [[71, 0, 1, "coq:exn.'via'-and-'abstract'-cannot-be-used-together", "'via' and 'abstract' cannot be used together"], [54, 1, 1, "coq:tacn.+-(backtracking-branching)", "+ (backtracking branching)"], [57, 1, 1, "coq:tacn.=>", "=>"], [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 'rename' 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 "at" clause without "with" 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 "all" modifier"], [71, 0, 1, "coq:exn.Multiple-'via'-options", "Multiple 'via' options"], [71, 0, 1, "coq:exn.Multiple-'warning-after'-or-'abstract-after'-options", "Multiple 'warning after' or 'abstract after' 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 "-allow-rewrite-rules""], [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 "Allow StrictProp" 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 'Notation' (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:--succeeds", "Tactic failure: <tactic closure> 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 "at" syntax isn't available yet for the autorewrite tactic"], [41, 0, 1, "coq:exn.The-&-modifier-may-only-occur-once", "The & 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 'abstract after' 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 'clear implicits' flag must be omitted if implicit annotations are given"], [41, 0, 1, "coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations", "The 'default implicits' 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 "\u2018type\u2019" has type "\u2018type\u2019" 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'"], [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: "\u2018setting_name\u2019""], [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: "\u2018setting_name\u2019""], [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: "\u2018setting_name\u2019""], [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: "\u2018setting_name\u2019""], [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 'rename' 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 "Variable" or "Hypothesis" outside sections behaves as "#[local] Parameter" or "#[local] Axiom""], [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)", "[> \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", 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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, 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"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 "Proof using" 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'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 "Proof." with "Qed." or "Defined."": [[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 "Nested Proofs Allowed" 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 ': assert' to silence the warning. If you want to clear implicit arguments, add ': clear implicits'": [[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 ': clear scopes'"]], "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 "..." on hypothesis of type "..": [[58, 0, 1, "coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"", """]], "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 "_""]], "\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 "_""]]}, "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"], 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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, 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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: succeeds (error)": [[54, "coq:exn.Tactic-failure:--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 diff --git a/master/refman/std-glossindex.html b/master/refman/std-glossindex.html index 9547e1f1d4..0d98123403 100644 --- a/master/refman/std-glossindex.html +++ b/master/refman/std-glossindex.html @@ -992,50 +992,50 @@
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