Theorem nvel

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

	Ref	Expression
Assertion	nvel	$$⊢\neg \mathrm{V}\in A$$

Proof

Step	Hyp	Ref	Expression
1		vprc	$$⊢\neg \mathrm{V}\in \mathrm{V}$$
2		elex	$$⊢\mathrm{V}\in A\to \mathrm{V}\in \mathrm{V}$$
3	1 2	mto	$$⊢\neg \mathrm{V}\in A$$