Theorem alrimd

Description: Deduction form of Theorem 19.21 of Margaris p. 90, see 19.21 . (Contributed by Mario Carneiro, 24-Sep-2016)

	Ref	Expression
Hypotheses	alrimd.1	|- F/ x ph
	alrimd.2	|- F/ x ps
	alrimd.3	|- ( ph -> ( ps -> ch ) )
Assertion	alrimd	|- ( ph -> ( ps -> A. x ch ) )

Proof

Step	Hyp	Ref	Expression
1		alrimd.1	|- F/ x ph
2		alrimd.2	|- F/ x ps
3		alrimd.3	|- ( ph -> ( ps -> ch ) )
4	2	a1i	|- ( ph -> F/ x ps )
5	1 4 3	alrimdd	|- ( ph -> ( ps -> A. x ch ) )