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Theorem orcoms 871
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 pm1.4 868 . 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 846
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 206  df-or 847
This theorem is referenced by:  olcs  875  19.40b  1884  r19.30OLD  3116  propeqop  5503  pwssun  5567  sorpsscmpl  7733  hashinfxadd  14368  swrdnd  14628  pfxnd0  14662  dvasin  37112  dvacos  37113  line2ylem  47747  line2xlem  47749
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