Theorem com4l 84

Description: Commutation of antecedents. Rotate left. (Contributed by NM, 25-Apr-1994.) (Proof shortened by O'Cat, 15-Aug-2004.)

Hypothesis

Ref	Expression
com4.1	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )

Assertion

Ref	Expression
com4l	|- ( ps -> ( ch -> ( th -> ( ph -> ta ) ) ) )

Proof of Theorem com4l

Step	Hyp	Ref	Expression
1		com4.1	. . 3 |- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
2	1	com3l 81	. 2 |- ( ps -> ( ch -> ( ph -> ( th -> ta ) ) ) )
3	2	com34 83	1 |- ( ps -> ( ch -> ( th -> ( ph -> ta ) ) ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by:  com4t  85  com4r  86  com14  88  com5l  92  3impd  1223  facwordi  10832  fiinopn  14240