Theorem alimi

Description: Inference quantifying both antecedent and consequent. (Contributed by NM, 5-Jan-1993)

	Ref	Expression
Hypothesis	alimi.1	|- ( ph -> ps )
Assertion	alimi	|- ( A. x ph -> A. x ps )

Proof

Step	Hyp	Ref	Expression
1		alimi.1	|- ( ph -> ps )
2		alim	|- ( A. x ( ph -> ps ) -> ( A. x ph -> A. x ps ) )
3	2 1	mpg	|- ( A. x ph -> A. x ps )