Theorem e02

Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e02.1	|- ph
	e02.2	|- (. ps ,. ch ->. th ).
	e02.3	|- ( ph -> ( th -> ta ) )
Assertion	e02	|- (. ps ,. ch ->. ta ).

Proof

Step	Hyp	Ref	Expression
1		e02.1	|- ph
2		e02.2	|- (. ps ,. ch ->. th ).
3		e02.3	|- ( ph -> ( th -> ta ) )
4	1	vd02	|- (. ps ,. ch ->. ph ).
5	4 2 3	e22	|- (. ps ,. ch ->. ta ).