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Metamath Proof Explorer

Theorem frel

Description: A mapping is a relation. (Contributed by NM, 3-Aug-1994)

Ref Expression
Assertion frel 
|- ( F : A --> B -> Rel F )

Proof

Step Hyp Ref Expression
1 ffn 
 |-  ( F : A --> B -> F Fn A )
2 fnrel 
 |-  ( F Fn A -> Rel F )
3 1 2 syl 
 |-  ( F : A --> B -> Rel F )