Theorem f1rel

Description: A one-to-one onto mapping is a relation. (Contributed by NM, 8-Mar-2014) (Proof shortened by Umit Teoman Dogan, 10-Jun-2026)

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

Proof

Step	Hyp	Ref	Expression
1		f1f	⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → 𝐹 : 𝐴 ⟶ 𝐵 )
2	1	freld	⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → Rel 𝐹 )