Theorem nfunv

Description: The universal class is not a function. (Contributed by Raph Levien, 27-Jan-2004)

	Ref	Expression
Assertion	nfunv	$$⊢\neg \mathrm{Fun}\mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		nrelv	$$⊢\neg \mathrm{Rel}\mathrm{V}$$
2		funrel	$$⊢\mathrm{Fun}\mathrm{V}\to \mathrm{Rel}\mathrm{V}$$
3	1 2	mto	$$⊢\neg \mathrm{Fun}\mathrm{V}$$