Theorem com5l 11329

Description: Commutation of antecedents. Rotate left.

Hypothesis

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

Assertion

Ref	Expression
com5l	⊢ (ψ → (χ → (θ → (τ → (φ → η)))))

Proof of Theorem com5l

Step	Hyp	Ref	Expression
1		com5.1	. . . . 5 ⊢ (φ → (ψ → (χ → (θ → (τ → η)))))
2	1	com45 11325	. . . 4 ⊢ (φ → (ψ → (χ → (τ → (θ → η)))))
3	2	com35 11326	. . 3 ⊢ (φ → (ψ → (θ → (τ → (χ → η)))))
4	3	com25 11327	. 2 ⊢ (φ → (χ → (θ → (τ → (ψ → η)))))
5	4	com15 11328	1 ⊢ (ψ → (χ → (θ → (τ → (φ → η)))))

Syntax hints:   → wi 3

This theorem is referenced by:  com52l 11330  com52r 11331

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

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