Theorem ee210

Description: e210 without virtual deductions. (Contributed by Alan Sare, 14-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ee210.1	|- ( ph -> ( ps -> ch ) )
	ee210.2	|- ( ph -> th )
	ee210.3	|- ta
	ee210.4	|- ( ch -> ( th -> ( ta -> et ) ) )
Assertion	ee210	|- ( ph -> ( ps -> et ) )

Proof

Step	Hyp	Ref	Expression
1		ee210.1	|- ( ph -> ( ps -> ch ) )
2		ee210.2	|- ( ph -> th )
3		ee210.3	|- ta
4		ee210.4	|- ( ch -> ( th -> ( ta -> et ) ) )
5	2	a1d	|- ( ph -> ( ps -> th ) )
6	3	a1i	|- ( ps -> ta )
7	6	a1i	|- ( ph -> ( ps -> ta ) )
8	1 5 7 4	ee222	|- ( ph -> ( ps -> et ) )