Theorem alim

Description: Restatement of Axiom ax-4 , for labeling consistency. It should be the only theorem using ax-4 . (Contributed by NM, 10-Jan-1993)

	Ref	Expression
Assertion	alim	⊢ ( ∀ 𝑥 ( 𝜑 → 𝜓 ) → ( ∀ 𝑥 𝜑 → ∀ 𝑥 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		ax-4	⊢ ( ∀ 𝑥 ( 𝜑 → 𝜓 ) → ( ∀ 𝑥 𝜑 → ∀ 𝑥 𝜓 ) )