Theorem com4t 93

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

Hypothesis

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

Assertion

Ref	Expression
com4t	⊢ (𝜒 → (𝜃 → (𝜑 → (𝜓 → 𝜏))))

Proof of Theorem com4t

Step	Hyp	Ref	Expression
1		com4.1	. . 3 ⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏))))
2	1	com4l 92	. 2 ⊢ (𝜓 → (𝜒 → (𝜃 → (𝜑 → 𝜏))))
3	2	com4l 92	1 ⊢ (𝜒 → (𝜃 → (𝜑 → (𝜓 → 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:  com4r  94  com24  95  isofrlem  7095  tfindsg  7577  tfr3  8037  pssnn  8738  dfac5  9556  cfcoflem  9696  isf32lem12  9788  ltexprlem7  10466  dirtr  17848  erclwwlktr  27802  erclwwlkntr  27852  3cyclfrgrrn1  28066  frgrregord013  28176  chirredlem1  30169  mdsymlem4  30185  cdj3lem2b  30216  ssfz12  43521