Theorem ee002

Description: e002 without virtual deductions. (Contributed by Alan Sare, 13-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ee002.1	|- ph
	ee002.2	|- ps
	ee002.3	|- ( ch -> ( th -> ta ) )
	ee002.4	|- ( ph -> ( ps -> ( ta -> et ) ) )
Assertion	ee002	|- ( ch -> ( th -> et ) )

Proof

Step	Hyp	Ref	Expression
1		ee002.1	|- ph
2		ee002.2	|- ps
3		ee002.3	|- ( ch -> ( th -> ta ) )
4		ee002.4	|- ( ph -> ( ps -> ( ta -> et ) ) )
5	1	a1i	|- ( th -> ph )
6	5	a1i	|- ( ch -> ( th -> ph ) )
7	2	a1i	|- ( th -> ps )
8	7	a1i	|- ( ch -> ( th -> ps ) )
9	6 8 3 4	ee222	|- ( ch -> ( th -> et ) )