Theorem a4imev 1273

Description: Distinct-variable version of a4ime 1160.

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-17 971	. 2 |- (ph -> A.xph)
2		a4imev.1	. 2 |- (x = y -> (ph -> ps))
3	1, 2	a4ime 1160	1 |- (ph -> E.xps)

Syntax hints:   -> wi 3   = wceq 956  E.wex 980

This theorem is referenced by:  a4eiv 1274  dtruALT 2748  zfpair 2777  uninqs 10441  hmeogrp 10538

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-17 971  ax-4 973  ax-5o 975  ax-6o 978  ax-9o 1123

This theorem depends on definitions:  df-bi 147  df-ex 981

Copyright terms: Public domain