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Theorem orcoms 682
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 pm1.4 679 . 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 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:  olcs  688  dcn  780  xorbin  1316  19.33b2  1561  pwssunim  4067
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