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Theorem pm2.4 558
Description: Theorem *2.4 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.4  |-  ( (
ph  \/  ( ph  \/  ps ) )  -> 
( ph  \/  ps ) )

Proof of Theorem pm2.4
StepHypRef Expression
1 orc 374 . 2  |-  ( ph  ->  ( ph  \/  ps ) )
2 id 19 . 2  |-  ( (
ph  \/  ps )  ->  ( ph  \/  ps ) )
31, 2jaoi 368 1  |-  ( (
ph  \/  ( ph  \/  ps ) )  -> 
( ph  \/  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 357
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-or 359
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