Theorem mpg

Description: Modus ponens combined with generalization. (Contributed by NM, 24-May-1994)

	Ref	Expression
Hypotheses	mpg.1	|- ( A. x ph -> ps )
	mpg.2	|- ph
Assertion	mpg	|- ps

Proof

Step	Hyp	Ref	Expression
1		mpg.1	|- ( A. x ph -> ps )
2		mpg.2	|- ph
3	2	ax-gen	|- A. x ph
4	3 1	ax-mp	|- ps