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  2032  euexex  2033  mob  2797  issref  4809  relresfld  4955  poxp  5989  nndi  6239  nnmass  6240  pr2ne  6810  distrlem5prl  7135  distrlem5pru  7136  lbreu  8396  flqeqceilz  9713  divconjdvds  11115  ialgcvga  11298  ialgfx  11299  fiinopn  11484