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  2167  euexex  2168  mob  3002  issref  5150  relresfld  5297  poxp  6441  nndi  6732  nnmass  6733  pr2ne  7502  distrlem5prl  7917  distrlem5pru  7918  lbreu  9239  flqeqceilz  10707  divconjdvds  12564  algcvga  12777  algfx  12778  lmodfopnelem1  14602  fiinopn  14999  wlk1walkdom  16484  depindlem3  16633