Theorem 0nelfun

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

	Ref	Expression
Assertion	0nelfun	⊢ ( Fun 𝑅 → ∅ ∉ 𝑅 )

Proof

Step	Hyp	Ref	Expression
1		funrel	⊢ ( Fun 𝑅 → Rel 𝑅 )
2		0nelrel	⊢ ( Rel 𝑅 → ∅ ∉ 𝑅 )
3	1 2	syl	⊢ ( Fun 𝑅 → ∅ ∉ 𝑅 )