Theorem ee21an

Description: e21an without virtual deductions. (Contributed by Alan Sare, 8-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ee21an.1	|- ( ph -> ( ps -> ch ) )
	ee21an.2	|- ( ph -> th )
	ee21an.3	|- ( ( ch /\ th ) -> ta )
Assertion	ee21an	|- ( ph -> ( ps -> ta ) )

Proof

Step	Hyp	Ref	Expression
1		ee21an.1	|- ( ph -> ( ps -> ch ) )
2		ee21an.2	|- ( ph -> th )
3		ee21an.3	|- ( ( ch /\ th ) -> ta )
4	3	ex	|- ( ch -> ( th -> ta ) )
5	1 2 4	syl6ci	|- ( ph -> ( ps -> ta ) )