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Metamath Proof Explorer

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 )