Theorem simplbi2comg 1419

Description: Implication form of simplbi2com 1420. (Contributed by Alan Sare, 22-Jul-2012.)

Assertion

Ref	Expression
simplbi2comg	|- ( ( ph <-> ( ps /\ ch ) ) -> ( ch -> ( ps -> ph ) ) )

Proof of Theorem simplbi2comg

Step	Hyp	Ref	Expression
1		bi2 129	. 2 |- ( ( ph <-> ( ps /\ ch ) ) -> ( ( ps /\ ch ) -> ph ) )
2	1	expcomd 1417	1 |- ( ( ph <-> ( ps /\ ch ) ) -> ( ch -> ( ps -> ph ) ) )

Syntax hints:   -> wi 4   /\ wa 103   <-> wb 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107

This theorem depends on definitions:  df-bi 116

This theorem is referenced by: (None)