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Theorem orcoms 731
Description: Commutation of disjuncts in antecedent. (Contributed by NM, 2-Dec-2012.)
Hypothesis
Ref Expression
orcoms.1  |-  ( (
ph  \/  ps )  ->  ch )
Assertion
Ref Expression
orcoms  |-  ( ( ps  \/  ph )  ->  ch )

Proof of Theorem orcoms
StepHypRef Expression
1 pm1.4 728 . 2  |-  ( ( ps  \/  ph )  ->  ( ph  \/  ps ) )
2 orcoms.1 . 2  |-  ( (
ph  \/  ps )  ->  ch )
31, 2syl 14 1  |-  ( ( ps  \/  ph )  ->  ch )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 709
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710
This theorem depends on definitions:  df-bi 117
This theorem is referenced by:  olcs  737  dcn  843  xorbin  1394  19.33b2  1639  r19.30dc  2634  pwssunim  4296  omnimkv  7167
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