Theorem e10

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

	Ref	Expression
Hypotheses	e10.1	|- (. ph ->. ps ).
	e10.2	|- ch
	e10.3	|- ( ps -> ( ch -> th ) )
Assertion	e10	|- (. ph ->. th ).

Proof

Step	Hyp	Ref	Expression
1		e10.1	|- (. ph ->. ps ).
2		e10.2	|- ch
3		e10.3	|- ( ps -> ( ch -> th ) )
4	2	vd01	|- (. ph ->. ch ).
5	1 4 3	e11	|- (. ph ->. th ).