Theorem com4r 80

Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.)

Hypothesis

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

Assertion

Ref	Expression
com4r	⊢ (θ → (φ → (ψ → (χ → τ))))

Proof of Theorem com4r

Step	Hyp	Ref	Expression
1		com4.1	. . 3 ⊢ (φ → (ψ → (χ → (θ → τ))))
2	1	com4t 79	. 2 ⊢ (χ → (θ → (φ → (ψ → τ))))
3	2	com4l 78	1 ⊢ (θ → (φ → (ψ → (χ → τ))))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by:  com15  87  3expd  1168