Theorem elisset

Description: An element of a class exists. Use elissetv instead when sufficient (for instance in usages where x is a dummy variable). (Contributed by NM, 1-May-1995) Reduce dependencies on axioms. (Revised by BJ, 29-Apr-2019)

	Ref	Expression
Assertion	elisset	$$⊢A\in V\to \exists xx=A$$

Proof

Step	Hyp	Ref	Expression
1		elissetv	$$⊢A\in V\to \exists zz=A$$
2		iseqsetv-clel	$$⊢\exists zz=A\leftrightarrow \exists xx=A$$
3	1 2	sylib	$$⊢A\in V\to \exists xx=A$$