Theorem com25 11327

Description: Commutation of antecedents. Swap 2nd and 5th.

Hypothesis

Ref	Expression
com5.1	⊢ (φ → (ψ → (χ → (θ → (τ → η)))))

Assertion

Ref	Expression
com25	⊢ (φ → (τ → (χ → (θ → (ψ → η)))))

Proof of Theorem com25

Step	Hyp	Ref	Expression
1		com5.1	. . . 4 ⊢ (φ → (ψ → (χ → (θ → (τ → η)))))
2	1	com24 37	. . 3 ⊢ (φ → (θ → (χ → (ψ → (τ → η)))))
3	2	com45 11325	. 2 ⊢ (φ → (θ → (χ → (τ → (ψ → η)))))
4	3	com24 37	1 ⊢ (φ → (τ → (χ → (θ → (ψ → η)))))

Syntax hints:   → wi 3

This theorem is referenced by:  com5l 11329  finsschain 11425  neibastop1 11579  neibastop2lem3 11582  fgfil 11638

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7

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