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  6763  nnmass  6764  pr2ne  7544  distrlem5prl  7959  distrlem5pru  7960  lbreu  9283  flqeqceilz  10776  divconjdvds  12641  algcvga  12854  algfx  12855  lmodfopnelem1  14770  fiinopn  15230  ppiublem1  16291  wlk1walkdom  16805  depindlem3  16954