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Theorem pm5.35 894
Description: Theorem *5.35 of [WhiteheadRussell] p. 125. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm5.35  |-  ( ( ( ph  ->  ps )  /\  ( ph  ->  ch ) )  ->  ( ph  ->  ( ps  <->  ch )
) )

Proof of Theorem pm5.35
StepHypRef Expression
1 pm5.1 853 . 2  |-  ( ( ( ph  ->  ps )  /\  ( ph  ->  ch ) )  ->  (
( ph  ->  ps )  <->  (
ph  ->  ch ) ) )
21pm5.74rd 248 1  |-  ( ( ( ph  ->  ps )  /\  ( ph  ->  ch ) )  ->  ( ph  ->  ( ps  <->  ch )
) )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    <-> wb 184    /\ wa 369
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 185  df-an 371
This theorem is referenced by: (None)
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