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Theorem pm2.37 820
Description: Theorem *2.37 of [WhiteheadRussell] p. 105. (Contributed by NM, 6-Mar-2008.)
Assertion
Ref Expression
pm2.37  |-  ( ( ps  ->  ch )  ->  ( ( ps  \/  ph )  ->  ( ph  \/  ch ) ) )

Proof of Theorem pm2.37
StepHypRef Expression
1 pm2.38 818 . 2  |-  ( ( ps  ->  ch )  ->  ( ( ps  \/  ph )  ->  ( ch  \/  ph ) ) )
2 pm1.4 377 . 2  |-  ( ( ch  \/  ph )  ->  ( ph  \/  ch ) )
31, 2syl6 31 1  |-  ( ( ps  ->  ch )  ->  ( ( ps  \/  ph )  ->  ( ph  \/  ch ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 6    \/ wo 359
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-or 361  df-an 362
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