Theorem com3l 75

Description: Commutation of antecedents. Rotate left. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Wolf Lammen, 28-Jul-2012.)

Hypothesis

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

Assertion

Ref	Expression
com3l	|- (ps -> (ch -> (ph -> th)))

Proof of Theorem com3l

Step	Hyp	Ref	Expression
1		com3.1	. . 3 |- (ph -> (ps -> (ch -> th)))
2	1	com3r 73	. 2 |- (ch -> (ph -> (ps -> th)))
3	2	com3r 73	1 |- (ps -> (ch -> (ph -> th)))

Syntax hints:   -> wi 4

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

This theorem is referenced by:  com4l  78  imp3a  420  exp3acom3r  1370  nndisjeq  4430  nnadjoin  4521  oprabid  5551  fnfrec  6321