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Theorem pm5.36 854
Description: Theorem *5.36 of [WhiteheadRussell] p. 125. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm5.36  |-  ( (
ph  /\  ( ph  <->  ps ) )  <->  ( ps  /\  ( ph  <->  ps )
) )

Proof of Theorem pm5.36
StepHypRef Expression
1 id 21 . 2  |-  ( (
ph 
<->  ps )  ->  ( ph 
<->  ps ) )
21pm5.32ri 622 1  |-  ( (
ph  /\  ( ph  <->  ps ) )  <->  ( ps  /\  ( ph  <->  ps )
) )
Colors of variables: wff set class
Syntax hints:    <-> wb 178    /\ wa 360
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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