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Theorem com14 82
Description: Commutation of antecedents. Swap 1st and 4th. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Wolf Lammen, 28-Jul-2012.)
Hypothesis
Ref Expression
com4.1 (φ → (ψ → (χ → (θτ))))
Assertion
Ref Expression
com14 (θ → (ψ → (χ → (φτ))))

Proof of Theorem com14
StepHypRef Expression
1 com4.1 . . 3 (φ → (ψ → (χ → (θτ))))
21com4l 78 . 2 (ψ → (χ → (θ → (φτ))))
32com3r 73 1 (θ → (ψ → (χ → (φτ))))
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: (None)
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