Theorem nvel

Description: The universal class does not belong to any class. (Contributed by FL, 31-Dec-2006) Prove it without using vprc , which is then proved as an instance of it. (Revised by BJ, 1-May-2026)

	Ref	Expression
Assertion	nvel	|- -. _V e. A

Proof

Step	Hyp	Ref	Expression
1		vnex	|- -. E. x x = _V
2		elisset	|- ( _V e. A -> E. x x = _V )
3	1 2	mto	|- -. _V e. A