Theorem com34 77

Description: Commutation of antecedents. Swap 3rd and 4th. (Contributed by NM, 25-Apr-1994.)

Hypothesis

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

Assertion

Ref	Expression
com34	⊢ (φ → (ψ → (θ → (χ → τ))))

Proof of Theorem com34

Step	Hyp	Ref	Expression
1		com4.1	. 2 ⊢ (φ → (ψ → (χ → (θ → τ))))
2		pm2.04 76	. 2 ⊢ ((χ → (θ → τ)) → (θ → (χ → τ)))
3	1, 2	syl6 29	1 ⊢ (φ → (ψ → (θ → (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:  com4l  78  com35  84  3an1rs  1163  rspct  2949  sfintfin  4533  funssres  5145  f1o2d  5728  fnfrec  6321