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	⊢ ( 𝜑 → 𝜓 )
Assertion	alrimivv	⊢ ( 𝜑 → ∀ 𝑥 ∀ 𝑦 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		alrimivv.1	⊢ ( 𝜑 → 𝜓 )
2	1	alrimiv	⊢ ( 𝜑 → ∀ 𝑦 𝜓 )
3	2	alrimiv	⊢ ( 𝜑 → ∀ 𝑥 ∀ 𝑦 𝜓 )