Theorem f1orel

Description: A one-to-one onto mapping is a relation. (Contributed by NM, 13-Dec-2003)

	Ref	Expression
Assertion	f1orel	$$⊢F:A\underset{1-1\; onto}{⟶}B\to \mathrm{Rel}F$$

Proof

Step	Hyp	Ref	Expression
1		f1ofun	$$⊢F:A\underset{1-1\; onto}{⟶}B\to \mathrm{Fun}F$$
2		funrel	$$⊢\mathrm{Fun}F\to \mathrm{Rel}F$$
3	1 2	syl	$$⊢F:A\underset{1-1\; onto}{⟶}B\to \mathrm{Rel}F$$