Theorem alrimivv

Description: Inference form of Theorem 19.21 of Margaris p. 90. See 19.21 and 19.21v . (Contributed by NM, 31-Jul-1995)

	Ref	Expression
Hypothesis	alrimivv.1	$$⊢\phi \to \psi$$
Assertion	alrimivv	$$⊢\phi \to \forall x\forall y\psi$$

Proof

Step	Hyp	Ref	Expression
1		alrimivv.1	$$⊢\phi \to \psi$$
2	1	alrimiv	$$⊢\phi \to \forall y\psi$$
3	2	alrimiv	$$⊢\phi \to \forall x\forall y\psi$$