Theorem e01

Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 25-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e01.1	|- ph
	e01.2	|- (. ps ->. ch ).
	e01.3	|- ( ph -> ( ch -> th ) )
Assertion	e01	|- (. ps ->. th ).

Proof

Step	Hyp	Ref	Expression
1		e01.1	|- ph
2		e01.2	|- (. ps ->. ch ).
3		e01.3	|- ( ph -> ( ch -> th ) )
4	1	vd01	|- (. ps ->. ph ).
5	4 2 3	e11	|- (. ps ->. th ).