Theorem com14 82

Description: Commutation of antecedents. Swap 1st and 4th. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Wolf Lammen, 28-Jul-2012.)

Hypothesis

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

Assertion

Ref	Expression
com14	|- (th -> (ps -> (ch -> (ph -> ta))))

Proof of Theorem com14

Step	Hyp	Ref	Expression
1		com4.1	. . 3 |- (ph -> (ps -> (ch -> (th -> ta))))
2	1	com4l 78	. 2 |- (ps -> (ch -> (th -> (ph -> ta))))
3	2	com3r 73	1 |- (th -> (ps -> (ch -> (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: (None)