Theorem a4imev 1271

Description: Distinct-variable version of a4ime 1158.

Hypothesis

Ref	Expression
a4imev.1	|- (x = y -> (ph -> ps))

Assertion

Ref	Expression
a4imev	|- (ph -> E.xps)

Distinct variable group:   ph,x

Proof of Theorem a4imev

Step	Hyp	Ref	Expression
1		ax-17 969	. 2 |- (ph -> A.xph)
2		a4imev.1	. 2 |- (x = y -> (ph -> ps))
3	1, 2	a4ime 1158	1 |- (ph -> E.xps)

Syntax hints:   -> wi 3   = wceq 954  E.wex 978

This theorem is referenced by:  a4eiv 1272  dtruALT 2743  zfpair 2772  uninqs 10378  hmeogrp 10461

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 961  ax-17 969  ax-4 971  ax-5o 973  ax-6o 976  ax-9o 1121

This theorem depends on definitions:  df-bi 147  df-ex 979

Copyright terms: Public domain