Theorem com3r 79

Description: Commutation of antecedents. Rotate right. (Contributed by NM, 25-Apr-1994.)

Hypothesis

Ref	Expression
com3.1	|- ( ph -> ( ps -> ( ch -> th ) ) )

Assertion

Ref	Expression
com3r	|- ( ch -> ( ph -> ( ps -> th ) ) )

Proof of Theorem com3r

Step	Hyp	Ref	Expression
1		com3.1	. . 3 |- ( ph -> ( ps -> ( ch -> th ) ) )
2	1	com23 78	. 2 |- ( ph -> ( ch -> ( ps -> th ) ) )
3	2	com12 30	1 |- ( ch -> ( ph -> ( ps -> th ) ) )

This proof depends on syntax axioms:   -> wi 4

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is used by:  com13  80  com3l  81  com14  88  expd  258  moexexdc  2171  euexex  2172  mob  3008  issref  5173  relresfld  5320  poxp  6472  nndi  6764  nnmass  6765  pr2ne  7544  distrlem5prl  7959  distrlem5pru  7960  lbreu  9283  flqeqceilz  10775  divconjdvds  12640  algcvga  12853  algfx  12854  lmodfopnelem1  14769  fiinopn  15247  ppiublem1  16308  wlk1walkdom  16822  depindlem3  16971