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Metamath Proof Explorer

Theorem fnrel

Description: A function with domain is a relation. (Contributed by NM, 1-Aug-1994)

		Ref	Expression
	Assertion	fnrel	⊢ ( 𝐹 Fn 𝐴 → Rel 𝐹 )

Step	Hyp	Ref	Expression
1		fnfun	⊢ ( 𝐹 Fn 𝐴 → Fun 𝐹 )
2		funrel	⊢ ( Fun 𝐹 → Rel 𝐹 )
3	1 2	syl	⊢ ( 𝐹 Fn 𝐴 → Rel 𝐹 )