Theorem com52l

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

	Ref	Expression
Hypothesis	com5.1	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
Assertion	com52l	|- ( ch -> ( th -> ( ta -> ( ph -> ( ps -> et ) ) ) ) )

Proof

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