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  7087  tfindsg  7569  tfr3  8029  pssnn  8730  dfac5  9548  cfcoflem  9688  isf32lem12  9780  ltexprlem7  10458  dirtr  17840  erclwwlktr  27794  erclwwlkntr  27844  3cyclfrgrrn1  28058  frgrregord013  28168  chirredlem1  30161  mdsymlem4  30177  cdj3lem2b  30208  ssfz12  43508