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  2165  euexex  2166  mob  2999  issref  5145  relresfld  5292  poxp  6428  nndi  6719  nnmass  6720  pr2ne  7489  distrlem5prl  7901  distrlem5pru  7902  lbreu  9219  flqeqceilz  10680  divconjdvds  12533  algcvga  12746  algfx  12747  lmodfopnelem1  14470  fiinopn  14867  wlk1walkdom  16352  depindlem3  16501