AP_TERM : term -> thm -> thm
STRUCTURE
Thm
SYNOPSIS
Applies a function to both sides of an equational theorem.
DESCRIPTION
When applied to a term
f
and a theorem
A |- x = y
, the inference rule
AP_TERM
returns the theorem
A |- f x = f y
.
A |- x = y ---------------- AP_TERM f A |- f x = f y
FAILURE
Fails unless the theorem is equational and the supplied term is a function whose domain type is the same as the type of both sides of the equation.
SEEALSO
AP_TERM_TAC
,
AP_THM
,
AP_THM_TAC
,
MK_COMB
HOL
Kananaskis-14