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Theorem orcoms 403
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 pm1.4 400 . 2 ((𝜓𝜑) → (𝜑𝜓))
2 orcoms.1 . 2 ((𝜑𝜓) → 𝜒)
31, 2syl 17 1 ((𝜓𝜑) → 𝜒)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 382
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 197  df-or 384
This theorem is referenced by:  olcs  409  19.40b  1855  propeqop  4999  pwssun  5049  sorpsscmpl  6990  hashinfxadd  13212  swrdnd  13478  dvasin  33626  dvacos  33627
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