Theorem a4imev 1315

Description: Distinct-variable version of a4ime 1202.

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 1012	. 2 |- (ph -> A.xph)
2		a4imev.1	. 2 |- (x = y -> (ph -> ps))
3	1, 2	a4ime 1202	1 |- (ph -> E.xps)

Syntax hints:   -> wi 3   = wceq 997  E.wex 1021

This theorem is referenced by:  a4eiv 1316  dtruALT 2804  zfpair 2833  uninqs 10527  inpc 10577  hmeogrp 10632

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1004  ax-17 1012  ax-4 1014  ax-5o 1016  ax-6o 1019  ax-9o 1164

This theorem depends on definitions:  df-bi 154  df-ex 1022

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