Theorem prtlem60 34137

Description: Lemma for prter3 34167. (Contributed by Rodolfo Medina, 9-Oct-2010.)

Hypotheses

Ref	Expression
prtlem60.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
prtlem60.2	|- ( ps -> ( th -> ta ) )

Assertion

Ref	Expression
prtlem60	|- ( ph -> ( ps -> ( ch -> ta ) ) )

Proof of Theorem prtlem60

Step	Hyp	Ref	Expression
1		prtlem60.1	. 2 |- ( ph -> ( ps -> ( ch -> th ) ) )
2		prtlem60.2	. . 3 |- ( ps -> ( th -> ta ) )
3	2	a1i 11	. 2 |- ( ph -> ( ps -> ( th -> ta ) ) )
4	1, 3	syldd 72	1 |- ( ph -> ( ps -> ( ch -> 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)