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Theorem pm2.45 712
Description: Theorem *2.45 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.45  |-  ( -.  ( ph  \/  ps )  ->  -.  ph )

Proof of Theorem pm2.45
StepHypRef Expression
1 orc 686 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
21con3i 606 1  |-  ( -.  ( ph  \/  ps )  ->  -.  ph )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4    \/ wo 682
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-in1 588  ax-in2 589  ax-io 683
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  pm2.47  714  ioran  726  dn1dc  929  eueq3dc  2831
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