Theorem f1rel

Description: A one-to-one onto mapping is a relation. (Contributed by NM, 8-Mar-2014)

	Ref	Expression
Assertion	f1rel	⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → Rel 𝐹 )

Proof

Step	Hyp	Ref	Expression
1		f1fn	⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → 𝐹 Fn 𝐴 )
2		fnrel	⊢ ( 𝐹 Fn 𝐴 → Rel 𝐹 )
3	1 2	syl	⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → Rel 𝐹 )