Theorem alrimi

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

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

Proof

Step	Hyp	Ref	Expression
1		alrimi.1	|- F/ x ph
2		alrimi.2	|- ( ph -> ps )
3	1	nf5ri	|- ( ph -> A. x ph )
4	3 2	alrimih	|- ( ph -> A. x ps )