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Theorem con3rr3 571
Description: Rotate through consequent right. (Contributed by Wolf Lammen, 3-Nov-2013.)
Hypothesis
Ref Expression
con3rr3.1 (𝜑 → (𝜓𝜒))
Assertion
Ref Expression
con3rr3 𝜒 → (𝜑 → ¬ 𝜓))

Proof of Theorem con3rr3
StepHypRef Expression
1 con3rr3.1 . . 3 (𝜑 → (𝜓𝜒))
21con3d 569 . 2 (𝜑 → (¬ 𝜒 → ¬ 𝜓))
32com12 30 1 𝜒 → (𝜑 → ¬ 𝜓))
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in1 552  ax-in2 553
This theorem is referenced by:  imnan  632  snnen2og  6350
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