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 e. V -> E. x x = A )

Proof

Step	Hyp	Ref	Expression
1		elissetv	|- ( A e. V -> E. z z = A )
2		iseqsetv-clel	|- ( E. z z = A <-> E. x x = A )
3	1 2	sylib	|- ( A e. V -> E. x x = A )