Theorem alimdh

Description: Deduction form of Theorem 19.20 of Margaris p. 90, see alim . (Contributed by NM, 4-Jan-2002)

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

Proof

Step	Hyp	Ref	Expression
1		alimdh.1	|- ( ph -> A. x ph )
2		alimdh.2	|- ( ph -> ( ps -> ch ) )
3	2	al2imi	|- ( A. x ph -> ( A. x ps -> A. x ch ) )
4	1 3	syl	|- ( ph -> ( A. x ps -> A. x ch ) )