Theorem e03an

Description: Conjunction form of e03 . (Contributed by Alan Sare, 12-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e03an.1	|- ph
	e03an.2	|- (. ps ,. ch ,. th ->. ta ).
	e03an.3	|- ( ( ph /\ ta ) -> et )
Assertion	e03an	|- (. ps ,. ch ,. th ->. et ).

Proof

Step	Hyp	Ref	Expression
1		e03an.1	|- ph
2		e03an.2	|- (. ps ,. ch ,. th ->. ta ).
3		e03an.3	|- ( ( ph /\ ta ) -> et )
4	3	ex	|- ( ph -> ( ta -> et ) )
5	1 2 4	e03	|- (. ps ,. ch ,. th ->. et ).