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Metamath Proof Explorer

Theorem isseti

Description: A way to say " A is a set" (inference form). (Contributed by NM, 24-Jun-1993) Remove dependencies on axioms. (Revised by BJ, 13-Jul-2019)

		Ref	Expression
	Hypothesis	isseti.1	$⊢ A \in V$
	Assertion	isseti	$⊢ \exists x x = A$

Proof

Step	Hyp	Ref	Expression
1		isseti.1	$⊢ A \in V$
2		elissetv	$⊢ A \in V \to \exists x x = A$
3	1 2	ax-mp	$⊢ \exists x x = A$