Theorem simplbi2comt 656

Description: Closed form of simplbi2com 657. (Contributed by Alan Sare, 22-Jul-2012.)

Assertion

Ref	Expression
simplbi2comt	|- ( ( ph <-> ( ps /\ ch ) ) -> ( ch -> ( ps -> ph ) ) )

Proof of Theorem simplbi2comt

Step	Hyp	Ref	Expression
1		biimpr 210	. 2 |- ( ( ph <-> ( ps /\ ch ) ) -> ( ( ps /\ ch ) -> ph ) )
2	1	expcomd 454	1 |- ( ( ph <-> ( ps /\ ch ) ) -> ( ch -> ( ps -> ph ) ) )

Syntax hints:   -> wi 4   <-> wb 196   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by:  2uasbanhVD  39147