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Theorem orcomd 377
Description: Commutation of disjuncts in consequent. (Contributed by NM, 2-Dec-2010.)
Hypothesis
Ref Expression
orcomd.1 (φ → (ψ χ))
Assertion
Ref Expression
orcomd (φ → (χ ψ))

Proof of Theorem orcomd
StepHypRef Expression
1 orcomd.1 . 2 (φ → (ψ χ))
2 orcom 376 . 2 ((ψ χ) ↔ (χ ψ))
31, 2sylib 188 1 (φ → (χ ψ))
Colors of variables: wff setvar class
Syntax hints:  wi 4   wo 357
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 177  df-or 359
This theorem is referenced by:  olcd  382  19.33b  1608  pwadjoin  4119  lefinlteq  4463  vfin1cltv  4547  phi011lem1  4598  erdisj  5972  ncdisjeq  6148  leconnnc  6218
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