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  256  moexexdc  2090  euexex  2091  mob  2894  issref  4968  relresfld  5115  poxp  6179  nndi  6433  nnmass  6434  pr2ne  7127  distrlem5prl  7506  distrlem5pru  7507  lbreu  8816  flqeqceilz  10217  divconjdvds  11741  algcvga  11928  algfx  11929  fiinopn  12413