AP_THM : thm -> term -> thm

SYNOPSIS
Proves equality of equal functions applied to a term.

DESCRIBE
When applied to a theorem A |- f = g and a term x, the inference rule AP_THM returns the theorem A |- f x = g x.
      A |- f = g
   ----------------  AP_THM (A |- f = g) x
    A |- f x = g x

FAILURE
Fails unless the conclusion of the theorem is an equation, both sides of which are functions whose domain type is the same as that of the supplied term.

SEEALSO  AP_THM_TAC,   AP_TERM,   ETA_CONV,   EXT,   FUN_EQ_CONV,   MK_COMB

HOL  Kananaskis 0