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Metamath Proof Explorer

Theorem elexi

Description: If a class is a member of another class, then it is a set. Inference associated with elex . (Contributed by NM, 11-Jun-1994)

		Ref	Expression
	Hypothesis	elexi.1	$⊢ A \in B$
	Assertion	elexi	$⊢ A \in V$

Step	Hyp	Ref	Expression
1		elexi.1	$⊢ A \in B$
2		elex	$⊢ A \in B \to A \in V$
3	1 2	ax-mp	$⊢ A \in V$