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	$$⊢F:A\underset{1-1}{⟶}B\to \mathrm{Rel}F$$

Proof

Step	Hyp	Ref	Expression
1		f1f	$$⊢F:A\underset{1-1}{⟶}B\to F:A⟶B$$
2	1	freld	$$⊢F:A\underset{1-1}{⟶}B\to \mathrm{Rel}F$$