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  5170  relresfld  5317  poxp  6468  nndi  6759  nnmass  6760  pr2ne  7539  distrlem5prl  7954  distrlem5pru  7955  lbreu  9278  flqeqceilz  10770  divconjdvds  12635  algcvga  12848  algfx  12849  lmodfopnelem1  14745  fiinopn  15196  ppiublem1  16252  wlk1walkdom  16766  depindlem3  16915