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Metamath Proof Explorer

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	$⊢ \forall x (φ \to ψ) \to (\forall x φ \to \forall x ψ)$

Step	Hyp	Ref	Expression
1		ax-4	$⊢ \forall x (φ \to ψ) \to (\forall x φ \to \forall x ψ)$