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Theorem simplbi2comg 1379
Description: Implication form of simplbi2com 1380. (Contributed by Alan Sare, 22-Jul-2012.) (New usage is discouraged.) TODO: decide if this is worth keeping.
Assertion
Ref Expression
simplbi2comg  |-  ( (
ph 
<->  ( ps  /\  ch ) )  ->  ( ch  ->  ( ps  ->  ph ) ) )

Proof of Theorem simplbi2comg
StepHypRef Expression
1 bi2 190 . 2  |-  ( (
ph 
<->  ( ps  /\  ch ) )  ->  (
( ps  /\  ch )  ->  ph ) )
21exp3acom23 1378 1  |-  ( (
ph 
<->  ( ps  /\  ch ) )  ->  ( ch  ->  ( ps  ->  ph ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 177    /\ wa 359
This theorem is referenced by:  2uasbanhVD  28364
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 178  df-an 361
  Copyright terms: Public domain W3C validator