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Theorem orcoms 704
Description: Commutation of disjuncts in antecedent. (Contributed by NM, 2-Dec-2012.)
Hypothesis
Ref Expression
orcoms.1 ((𝜑𝜓) → 𝜒)
Assertion
Ref Expression
orcoms ((𝜓𝜑) → 𝜒)

Proof of Theorem orcoms
StepHypRef Expression
1 pm1.4 701 . 2 ((𝜓𝜑) → (𝜑𝜓))
2 orcoms.1 . 2 ((𝜑𝜓) → 𝜒)
31, 2syl 14 1 ((𝜓𝜑) → 𝜒)
Colors of variables: wff set class
Syntax hints:  wi 4  wo 682
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 683
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  olcs  710  dcn  812  xorbin  1347  19.33b2  1593  pwssunim  4176  omnimkv  6998
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