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Theorem com5l 86
Description: Commutation of antecedents. Rotate left. (Contributed by Jeff Hankins, 28-Jun-2009.) (Proof shortened by Wolf Lammen, 29-Jul-2012.)
Hypothesis
Ref Expression
com5.1 (φ → (ψ → (χ → (θ → (τη)))))
Assertion
Ref Expression
com5l (ψ → (χ → (θ → (τ → (φη)))))

Proof of Theorem com5l
StepHypRef Expression
1 com5.1 . . 3 (φ → (ψ → (χ → (θ → (τη)))))
21com4l 78 . 2 (ψ → (χ → (θ → (φ → (τη)))))
32com45 83 1 (ψ → (χ → (θ → (τ → (φη)))))
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:  com15  87  com52l  88  com52r  89
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