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  2164  euexex  2165  mob  2989  issref  5126  relresfld  5273  poxp  6406  nndi  6697  nnmass  6698  pr2ne  7440  distrlem5prl  7849  distrlem5pru  7850  lbreu  9168  flqeqceilz  10624  divconjdvds  12471  algcvga  12684  algfx  12685  lmodfopnelem1  14400  fiinopn  14795  wlk1walkdom  16280  depindlem3  16429