Theorem e02an

Description: Conjunction form of e02 . (Contributed by Alan Sare, 15-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e02an.1	|- ph
	e02an.2	|- (. ps ,. ch ->. th ).
	e02an.3	|- ( ( ph /\ th ) -> ta )
Assertion	e02an	|- (. ps ,. ch ->. ta ).

Proof

Step	Hyp	Ref	Expression
1		e02an.1	|- ph
2		e02an.2	|- (. ps ,. ch ->. th ).
3		e02an.3	|- ( ( ph /\ th ) -> ta )
4	3	ex	|- ( ph -> ( th -> ta ) )
5	1 2 4	e02	|- (. ps ,. ch ->. ta ).