Theorem a6e 1031

Description: Abbreviated version of ax-6o 1019.

Assertion

Ref	Expression
a6e	|- (E.xA.xph -> ph)

Proof of Theorem a6e

Step	Hyp	Ref	Expression
1		df-ex 1022	. 2 |- (E.xA.xph <-> -. A.x -. A.xph)
2		ax-6o 1019	. 2 |- (-. A.x -. A.xph -> ph)
3	1, 2	sylbi 206	1 |- (E.xA.xph -> ph)

Syntax hints:  -. wn 2   -> wi 3  A.wal 995  E.wex 1021

This theorem is referenced by:  ax9o 1163

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-6o 1019

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

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