Theorem com3r 79

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

Hypothesis

Ref	Expression
com3.1	⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃)))

Assertion

Ref	Expression
com3r	⊢ (𝜒 → (𝜑 → (𝜓 → 𝜃)))

Proof of Theorem com3r

Step	Hyp	Ref	Expression
1		com3.1	. . 3 ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃)))
2	1	com23 78	. 2 ⊢ (𝜑 → (𝜒 → (𝜓 → 𝜃)))
3	2	com12 30	1 ⊢ (𝜒 → (𝜑 → (𝜓 → 𝜃)))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by:  com13  80  com3l  81  com14  88  expd  258  moexexdc  2171  euexex  2172  mob  3008  issref  5168  relresfld  5315  poxp  6462  nndi  6753  nnmass  6754  pr2ne  7532  distrlem5prl  7947  distrlem5pru  7948  lbreu  9269  flqeqceilz  10738  divconjdvds  12599  algcvga  12812  algfx  12813  lmodfopnelem1  14644  fiinopn  15088  wlk1walkdom  16583  depindlem3  16732