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  2988  issref  5119  relresfld  5266  poxp  6397  nndi  6654  nnmass  6655  pr2ne  7397  distrlem5prl  7806  distrlem5pru  7807  lbreu  9125  flqeqceilz  10581  divconjdvds  12415  algcvga  12628  algfx  12629  lmodfopnelem1  14344  fiinopn  14734  wlk1walkdom  16216  depindlem3  16353