Theorem a4imev 1650

Description: Distinct-variable version of a4ime 1521.

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 1317	. 2 |- (ph -> A.xph)
2		a4imev.1	. 2 |- (x = y -> (ph -> ps))
3	1, 2	a4ime 1521	1 |- (ph -> E.xps)

Syntax hints:   -> wi 3   = wceq 1298  E.wex 1326

This theorem is referenced by:  a4eiv 1651  dtru 3498  zfpair 3522  uninqs 14340  inpc 14619  dominc 14622  rninc 14623  hmeogrp 14892

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1305  ax-17 1317  ax-4 1319  ax-5o 1321  ax-6o 1324  ax-9o 1481

This theorem depends on definitions:  df-bi 164  df-ex 1327

Copyright terms: Public domain