Theorem al2imi

Description: Inference quantifying antecedent, nested antecedent, and consequent. (Contributed by NM, 10-Jan-1993)

	Ref	Expression
Hypothesis	al2imi.1	|- ( ph -> ( ps -> ch ) )
Assertion	al2imi	|- ( A. x ph -> ( A. x ps -> A. x ch ) )

Proof

Step	Hyp	Ref	Expression
1		al2imi.1	|- ( ph -> ( ps -> ch ) )
2		al2im	|- ( A. x ( ph -> ( ps -> ch ) ) -> ( A. x ph -> ( A. x ps -> A. x ch ) ) )
3	2 1	mpg	|- ( A. x ph -> ( A. x ps -> A. x ch ) )