Theorem alrimiv

Description: Inference form of Theorem 19.21 of Margaris p. 90. See 19.21 and 19.21v . (Contributed by NM, 21-Jun-1993)

	Ref	Expression
Hypothesis	alrimiv.1	⊢ ( 𝜑 → 𝜓 )
Assertion	alrimiv	⊢ ( 𝜑 → ∀ 𝑥 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		alrimiv.1	⊢ ( 𝜑 → 𝜓 )
2		ax-5	⊢ ( 𝜑 → ∀ 𝑥 𝜑 )
3	2 1	alrimih	⊢ ( 𝜑 → ∀ 𝑥 𝜓 )