Theorem a6e 987

Description: Abbreviated version of ax-6o 975.

Assertion

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

Proof of Theorem a6e

Step	Hyp	Ref	Expression
1		df-ex 978	. 2 |- (E.xA.xph <-> -. A.x -. A.xph)
2		ax-6o 975	. 2 |- (-. A.x -. A.xph -> ph)
3	1, 2	sylbi 199	1 |- (E.xA.xph -> ph)

Syntax hints:  -. wn 2   -> wi 3  A.wal 951  E.wex 977

This theorem is referenced by:  ax9o 1118

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-6o 975

This theorem depends on definitions:  df-bi 147  df-ex 978

Copyright terms: Public domain