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Theorem com5r 104
Description: Commutation of antecedents. Rotate right. (Contributed by Wolf Lammen, 29-Jul-2012.)
Hypothesis
Ref Expression
com5.1 (𝜑 → (𝜓 → (𝜒 → (𝜃 → (𝜏𝜂)))))
Assertion
Ref Expression
com5r (𝜏 → (𝜑 → (𝜓 → (𝜒 → (𝜃𝜂)))))

Proof of Theorem com5r
StepHypRef Expression
1 com5.1 . . 3 (𝜑 → (𝜓 → (𝜒 → (𝜃 → (𝜏𝜂)))))
21com52l 102 . 2 (𝜒 → (𝜃 → (𝜏 → (𝜑 → (𝜓𝜂)))))
32com52l 102 1 (𝜏 → (𝜑 → (𝜓 → (𝜒 → (𝜃𝜂)))))
Colors of variables: wff setvar 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:  ad5ant234  1305  ad5ant235  1306
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