Theorem a6e 688

Description: Abbreviated version of ax-6 675.

Assertion

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

Proof of Theorem a6e

Step	Hyp	Ref	Expression
1		df-ex 679	. 2 |- (E.xA.xph <-> -. A.x -. A.xph)
2		ax-6 675	. 2 |- (-. A.x -. A.xph -> ph)
3	1, 2	sylbi 174	1 |- (E.xA.xph -> ph)

Syntax hints:  -. wn 1   -> wi 2  A.wal 672  E.wex 678

This theorem is referenced by:  ax9 807

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6  ax-6 675

This theorem depends on definitions:  df-bi 128  df-ex 679

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