Theorem exsimplOLD 1462

Description: Simplification of an existentially quantified conjunction. (Contributed by Rodolfo Medina, 25-Sep-2010.)

Assertion

Ref	Expression
exsimplOLD	|- (E.x(ph /\ ps) -> E.xph)

Proof of Theorem exsimplOLD

Step	Hyp	Ref	Expression
1		19.40 1447	. 2 |- (E.x(ph /\ ps) -> (E.xph /\ E.xps))
2	1	simplld 348	1 |- (E.x(ph /\ ps) -> E.xph)

Syntax hints:   -> wi 3   /\ wa 240  E.wex 1326

This theorem is referenced by:  hl1atom 17040

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

This theorem depends on definitions:  df-bi 164  df-an 242  df-ex 1327

Copyright terms: Public domain