Theorem com35 90

Description: Commutation of antecedents. Swap 3rd and 5th. (Contributed by Jeff Hankins, 28-Jun-2009.)

Hypothesis

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

Assertion

Ref	Expression
com35	|- ( ph -> ( ps -> ( ta -> ( th -> ( ch -> et ) ) ) ) )

Proof of Theorem com35

Step	Hyp	Ref	Expression
1		com5.1	. . . 4 |- ( ph -> ( ps -> ( ch -> ( th -> ( ta -> et ) ) ) ) )
2	1	com34 83	. . 3 |- ( ph -> ( ps -> ( th -> ( ch -> ( ta -> et ) ) ) ) )
3	2	com45 89	. 2 |- ( ph -> ( ps -> ( th -> ( ta -> ( ch -> et ) ) ) ) )
4	3	com34 83	1 |- ( ph -> ( ps -> ( ta -> ( th -> ( ch -> 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: (None)