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Theorem pm4.45 731
Description: Theorem *4.45 of [WhiteheadRussell] p. 119. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm4.45  |-  ( ph  <->  (
ph  /\  ( ph  \/  ps ) ) )

Proof of Theorem pm4.45
StepHypRef Expression
1 orc 666 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
21pm4.71i 383 1  |-  ( ph  <->  (
ph  /\  ( ph  \/  ps ) ) )
Colors of variables: wff set class
Syntax hints:    /\ wa 102    <-> wb 103    \/ wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  dn1dc  902
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