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Theorem pm5.44 882
Description: Theorem *5.44 of [WhiteheadRussell] p. 125. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm5.44  |-  ( (
ph  ->  ps )  -> 
( ( ph  ->  ch )  <->  ( ph  ->  ( ps  /\  ch )
) ) )

Proof of Theorem pm5.44
StepHypRef Expression
1 jcab 836 . 2  |-  ( (
ph  ->  ( ps  /\  ch ) )  <->  ( ( ph  ->  ps )  /\  ( ph  ->  ch )
) )
21baibr 877 1  |-  ( (
ph  ->  ps )  -> 
( ( ph  ->  ch )  <->  ( ph  ->  ( ps  /\  ch )
) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6    <-> wb 178    /\ wa 360
This theorem is referenced by:  reldisj  3473
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10
This theorem depends on definitions:  df-bi 179  df-an 362
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