Theorem e22an

Description: Conjunction form of e22 . (Contributed by Alan Sare, 11-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e22an.1	|- (. ph ,. ps ->. ch ).
	e22an.2	|- (. ph ,. ps ->. th ).
	e22an.3	|- ( ( ch /\ th ) -> ta )
Assertion	e22an	|- (. ph ,. ps ->. ta ).

Proof

Step	Hyp	Ref	Expression
1		e22an.1	|- (. ph ,. ps ->. ch ).
2		e22an.2	|- (. ph ,. ps ->. th ).
3		e22an.3	|- ( ( ch /\ th ) -> ta )
4	3	ex	|- ( ch -> ( th -> ta ) )
5	1 2 4	e22	|- (. ph ,. ps ->. ta ).