Theorem ee110 38902

Description: e110 38901 without virtual deductions. (Contributed by Alan Sare, 22-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
ee110.1	|- ( ph -> ps )
ee110.2	|- ( ph -> ch )
ee110.3	|- th
ee110.4	|- ( ps -> ( ch -> ( th -> ta ) ) )

Assertion

Ref	Expression
ee110	|- ( ph -> ta )

Proof of Theorem ee110

Step	Hyp	Ref	Expression
1		ee110.1	. 2 |- ( ph -> ps )
2		ee110.2	. 2 |- ( ph -> ch )
3		ee110.3	. . 3 |- th
4	3	a1i 11	. 2 |- ( ph -> th )
5		ee110.4	. 2 |- ( ps -> ( ch -> ( th -> ta ) ) )
6	1, 2, 4, 5	syl3c 66	1 |- ( ph -> 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)