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Metamath Proof Explorer

Theorem nfunv

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

		Ref	Expression
	Assertion	nfunv	⊢ ¬ Fun V

Step	Hyp	Ref	Expression
1		nrelv	⊢ ¬ Rel V
2		funrel	⊢ ( Fun V → Rel V )
3	1 2	mto	⊢ ¬ Fun V