Theorem 0nelfun

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

	Ref	Expression
Assertion	0nelfun	$$⊢\mathrm{Fun}R\to \varnothing \notin R$$

Proof

Step	Hyp	Ref	Expression
1		funrel	$$⊢\mathrm{Fun}R\to \mathrm{Rel}R$$
2		0nelrel	$$⊢\mathrm{Rel}R\to \varnothing \notin R$$
3	1 2	syl	$$⊢\mathrm{Fun}R\to \varnothing \notin R$$