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Metamath Proof Explorer

Theorem 0nelfun

Description: A function does not contain the empty set. (Contributed by BJ, 26-Nov-2021)

		Ref	Expression
	Assertion	0nelfun	$⊢ Fun R \to \emptyset \notin R$

Step	Hyp	Ref	Expression
1		funrel	$⊢ Fun R \to Rel R$
2		0nelrel	$⊢ Rel R \to \emptyset \notin R$
3	1 2	syl	$⊢ Fun R \to \emptyset \notin R$