Metamath Proof Explorer

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 )