Theorem com4l 78

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 75	. 2 |- (ps -> (ch -> (ph -> (th -> ta))))
3	2	com34 77	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  79  com4r  80  com14  82  com5l  86  3impd  1165  merco2  1501  ax12b  1689