Theorem com14 38

Description: Commutation of antecedents. Swap 1st and 4th.

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	. . . 4 ⊢ (φ → (ψ → (χ → (θ → τ))))
2	1	com34 36	. . 3 ⊢ (φ → (ψ → (θ → (χ → τ))))
3	2	com13 33	. 2 ⊢ (θ → (ψ → (φ → (χ → τ))))
4	3	com34 36	1 ⊢ (θ → (ψ → (χ → (φ → τ))))

Syntax hints:   → wi 2

This theorem is referenced by:  com4l 39  aceq5 3563  ltexprlem7 3942  reclem3pr 3952  projlem28 5220  spansncv 5542

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

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