Theorem alrimdv

Description: Deduction form of Theorem 19.21 of Margaris p. 90. See 19.21 and 19.21v . (Contributed by NM, 10-Feb-1997)

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

Proof

Step	Hyp	Ref	Expression
1		alrimdv.1	|- ( ph -> ( ps -> ch ) )
2		ax-5	|- ( ph -> A. x ph )
3		ax-5	|- ( ps -> A. x ps )
4	2 3 1	alrimdh	|- ( ph -> ( ps -> A. x ch ) )