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Theorem com3r 79
Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.)
Hypothesis
Ref Expression
com3.1 (𝜑 → (𝜓 → (𝜒𝜃)))
Assertion
Ref Expression
com3r (𝜒 → (𝜑 → (𝜓𝜃)))

Proof of Theorem com3r
StepHypRef Expression
1 com3.1 . . 3 (𝜑 → (𝜓 → (𝜒𝜃)))
21com23 78 . 2 (𝜑 → (𝜒 → (𝜓𝜃)))
32com12 30 1 (𝜒 → (𝜑 → (𝜓𝜃)))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  com13  80  com3l  81  com14  88  expd  256  moexexdc  2061  euexex  2062  mob  2839  issref  4891  relresfld  5038  poxp  6097  nndi  6350  nnmass  6351  pr2ne  7016  distrlem5prl  7362  distrlem5pru  7363  lbreu  8671  flqeqceilz  10059  divconjdvds  11474  algcvga  11659  algfx  11660  fiinopn  12098
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