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  2083  euexex  2084  mob  2866  issref  4921  relresfld  5068  poxp  6129  nndi  6382  nnmass  6383  pr2ne  7048  distrlem5prl  7394  distrlem5pru  7395  lbreu  8703  flqeqceilz  10091  divconjdvds  11547  algcvga  11732  algfx  11733  fiinopn  12171