Theorem com3r 78

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 77	. 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-1 5  ax-2 6  ax-mp 7

This theorem is referenced by:  com13  79  com3l  80  com14  87  expd  254  moexexdc  2025  euexex  2026  mob  2774  issref  4727  relresfld  4867  poxp  5873  nndi  6088  nnmass  6089  pr2ne  6461  distrlem5prl  6776  distrlem5pru  6777  lbreu  8023  flqeqceilz  9320  divconjdvds  10249  ialgcvga  10433  ialgfx  10434