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Theorem simplbi2comg 1377
Description: Implication form of simplbi2com 1378. (Contributed by Alan Sare, 22-Jul-2012.)
Assertion
Ref Expression
simplbi2comg  |-  ( (
ph 
<->  ( ps  /\  ch ) )  ->  ( ch  ->  ( ps  ->  ph ) ) )

Proof of Theorem simplbi2comg
StepHypRef Expression
1 bi2 128 . 2  |-  ( (
ph 
<->  ( ps  /\  ch ) )  ->  (
( ps  /\  ch )  ->  ph ) )
21expcomd 1375 1  |-  ( (
ph 
<->  ( ps  /\  ch ) )  ->  ( ch  ->  ( ps  ->  ph ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102    <-> wb 103
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115
This theorem is referenced by: (None)
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