Theorem ee001 38912

Description: e001 38911 without virtual deductions. (Contributed by Alan Sare, 23-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
ee001.1	|- ph
ee001.2	|- ps
ee001.3	|- ( ch -> th )
ee001.4	|- ( ph -> ( ps -> ( th -> ta ) ) )

Assertion

Ref	Expression
ee001	|- ( ch -> ta )

Proof of Theorem ee001

Step	Hyp	Ref	Expression
1		ee001.1	. . 3 |- ph
2	1	a1i 11	. 2 |- ( ch -> ph )
3		ee001.2	. . 3 |- ps
4	3	a1i 11	. 2 |- ( ch -> ps )
5		ee001.3	. 2 |- ( ch -> th )
6		ee001.4	. 2 |- ( ph -> ( ps -> ( th -> ta ) ) )
7	2, 4, 5, 6	syl3c 66	1 |- ( 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)