Theorem com52l 88

Description: Commutation of antecedents. Rotate left twice. (Contributed by Jeff Hankins, 28-Jun-2009.)

Hypothesis

Ref	Expression
com5.1	|- (ph -> (ps -> (ch -> (th -> (ta -> et)))))

Assertion

Ref	Expression
com52l	|- (ch -> (th -> (ta -> (ph -> (ps -> et)))))

Proof of Theorem com52l

Step	Hyp	Ref	Expression
1		com5.1	. . 3 |- (ph -> (ps -> (ch -> (th -> (ta -> et)))))
2	1	com5l 86	. 2 |- (ps -> (ch -> (th -> (ta -> (ph -> et)))))
3	2	com5l 86	1 |- (ch -> (th -> (ta -> (ph -> (ps -> et)))))

Syntax hints:   -> wi 4

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

This theorem is referenced by:  com52r  89  com5r  90