Theorem com25

Description: Commutation of antecedents. Swap 2nd and 5th. Deduction associated with com14 . (Contributed by Jeff Hankins, 28-Jun-2009)

	Ref	Expression
Hypothesis	com5.1	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
Assertion	com25	|- ( ph -> ( ta -> ( ch -> ( th -> ( ps -> et ) ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		com5.1	|- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
2	1	com24	|- ( ph -> ( th -> ( ch -> ( ps -> ( ta -> et ) ) ) ) )
3	2	com45	|- ( ph -> ( th -> ( ch -> ( ta -> ( ps -> et ) ) ) ) )
4	3	com24	|- ( ph -> ( ta -> ( ch -> ( th -> ( ps -> et ) ) ) ) )