Theorem freld

Description: A mapping is a relation. (Contributed by Glauco Siliprandi, 26-Jun-2021)

	Ref	Expression
Hypothesis	freld.1	⊢ ( 𝜑 → 𝐹 : 𝐴 ⟶ 𝐵 )
Assertion	freld	⊢ ( 𝜑 → Rel 𝐹 )

Proof

Step	Hyp	Ref	Expression
1		freld.1	⊢ ( 𝜑 → 𝐹 : 𝐴 ⟶ 𝐵 )
2		frel	⊢ ( 𝐹 : 𝐴 ⟶ 𝐵 → Rel 𝐹 )
3	1 2	syl	⊢ ( 𝜑 → Rel 𝐹 )