diff --git a/set.mm b/set.mm index f0c9ab553b..864cb7dc1f 100644 --- a/set.mm +++ b/set.mm @@ -431159,6 +431159,16 @@ be applied for new theorems (formerly, the class and wff variables ~ mmtheorems32.html#mm3146s also describes the metatheorem that underlies this. +

You should read any statement starting with ` |- ` + and having one or more unbound set variable(s) as universally + quantified over those + variables. So if you state ` |- 0 < k ` , say as a postulate, + that's saying " ` 0 < k ` is derivable in the empty context" + which is a strong statement, + equivalent to ` A. k 0 < k ` , which without further context is false. + The same is not true for class variables (e.g., ` 0 < K ` is typically + safe to postulate). +

Additional rules for definitions

Standard Metamath verifiers do not distinguish between axioms and