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	$$⊢Ⅎx\phi$$
	alrimi.2	$$⊢\phi \to \psi$$
Assertion	alrimi	$$⊢\phi \to \forall x\psi$$

Proof

Step	Hyp	Ref	Expression
1		alrimi.1	$$⊢Ⅎx\phi$$
2		alrimi.2	$$⊢\phi \to \psi$$
3	1	nf5ri	$$⊢\phi \to \forall x\phi$$
4	3 2	alrimih	$$⊢\phi \to \forall x\psi$$