Theorem ancomsimp 1291

Description: Closed form of ancoms 484. Derived automatically from ancomsimpVD 16689. (Contributed by Alan Sare, 31-Dec-2011.)

Assertion

Ref	Expression
ancomsimp	|- (((ph /\ ps) -> ch) <-> ((ps /\ ph) -> ch))

Proof of Theorem ancomsimp

Step	Hyp	Ref	Expression
1		ancom 482	. 2 |- ((ph /\ ps) <-> (ps /\ ph))
2	1	imbi1i 203	1 |- (((ph /\ ps) -> ch) <-> ((ps /\ ph) -> ch))

Syntax hints:   -> wi 3   <-> wb 163   /\ wa 240

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

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

Copyright terms: Public domain