Theorem ee02an

Description: e02an without virtual deductions. (Contributed by Alan Sare, 8-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ee02an.1	|- ph
	ee02an.2	|- ( ps -> ( ch -> th ) )
	ee02an.3	|- ( ( ph /\ th ) -> ta )
Assertion	ee02an	|- ( ps -> ( ch -> ta ) )

Proof

Step	Hyp	Ref	Expression
1		ee02an.1	|- ph
2		ee02an.2	|- ( ps -> ( ch -> th ) )
3		ee02an.3	|- ( ( ph /\ th ) -> ta )
4	3	ex	|- ( ph -> ( th -> ta ) )
5	1 2 4	mpsylsyld	|- ( ps -> ( ch -> ta ) )