Theorem com14 82

Description: Commutation of antecedents. Swap 1st and 4th. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Wolf Lammen, 28-Jul-2012.)

Hypothesis

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

Assertion

Ref	Expression
com14	⊢ (θ → (ψ → (χ → (φ → τ))))

Proof of Theorem com14

Step	Hyp	Ref	Expression
1		com4.1	. . 3 ⊢ (φ → (ψ → (χ → (θ → τ))))
2	1	com4l 78	. 2 ⊢ (ψ → (χ → (θ → (φ → τ))))
3	2	com3r 73	1 ⊢ (θ → (ψ → (χ → (φ → 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: (None)