Theorem nvel

Description: The universal class does not belong to any class. (Contributed by FL, 31-Dec-2006)

	Ref	Expression
Assertion	nvel	⊢ ¬ V ∈ 𝐴

Proof

Step	Hyp	Ref	Expression
1		vprc	⊢ ¬ V ∈ V
2		elex	⊢ ( V ∈ 𝐴 → V ∈ V )
3	1 2	mto	⊢ ¬ V ∈ 𝐴