Theorem e01an

Description: Conjunction form of e01 . (Contributed by Alan Sare, 11-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e01an.1	|- ph
	e01an.2	|- (. ps ->. ch ).
	e01an.3	|- ( ( ph /\ ch ) -> th )
Assertion	e01an	|- (. ps ->. th ).

Proof

Step	Hyp	Ref	Expression
1		e01an.1	|- ph
2		e01an.2	|- (. ps ->. ch ).
3		e01an.3	|- ( ( ph /\ ch ) -> th )
4	3	ex	|- ( ph -> ( ch -> th ) )
5	1 2 4	e01	|- (. ps ->. th ).