Theorem com4t 40

Description: Commutation of antecedents. Rotate twice.

Hypothesis

Ref	Expression
com4.1	⊢ (φ → (ψ → (χ → (θ → τ))))

Assertion

Ref	Expression
com4t	⊢ (χ → (θ → (φ → (ψ → τ))))

Proof of Theorem com4t

Step	Hyp	Ref	Expression
1		com4.1	. . 3 ⊢ (φ → (ψ → (χ → (θ → τ))))
2	1	com4l 39	. 2 ⊢ (ψ → (χ → (θ → (φ → τ))))
3	2	com4l 39	1 ⊢ (χ → (θ → (φ → (ψ → τ))))

Syntax hints:   → wi 2

This theorem is referenced by:  com4r 41  mopick 1054  supmo 2156  tfindsg 2402  isofrlem 2939  tfr3 2964  pssnn 3428  aceq5 3563  ltexprlem7 3942  infxpidmlem11 4943  projlem28 5220  mdsymlem4 5779

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-mp 6

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