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Theorem orcoms 648
Description: Commutation of disjuncts in antecedent. (Contributed by NM, 2-Dec-2012.)
Hypothesis
Ref Expression
orcoms.1 ((φ ψ) → χ)
Assertion
Ref Expression
orcoms ((ψ φ) → χ)

Proof of Theorem orcoms
StepHypRef Expression
1 pm1.4 645 . 2 ((ψ φ) → (φ ψ))
2 orcoms.1 . 2 ((φ ψ) → χ)
31, 2syl 14 1 ((ψ φ) → χ)
Colors of variables: wff set class
Syntax hints:  wi 4   wo 628
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  olcs  654  dcn  745  xorbin  1272  19.33b2  1517  pwssunim  4012
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