NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  com52l GIF version

Theorem com52l 88
Description: Commutation of antecedents. Rotate left twice. (Contributed by Jeff Hankins, 28-Jun-2009.)
Hypothesis
Ref Expression
com5.1 (φ → (ψ → (χ → (θ → (τη)))))
Assertion
Ref Expression
com52l (χ → (θ → (τ → (φ → (ψη)))))

Proof of Theorem com52l
StepHypRef Expression
1 com5.1 . . 3 (φ → (ψ → (χ → (θ → (τη)))))
21com5l 86 . 2 (ψ → (χ → (θ → (τ → (φη)))))
32com5l 86 1 (χ → (θ → (τ → (φ → (ψη)))))
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:  com52r  89  com5r  90
  Copyright terms: Public domain W3C validator