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Theorem frel 5165
Description: A mapping is a relation. (Contributed by NM, 3-Aug-1994.)
Assertion
Ref Expression
frel  |-  ( F : A --> B  ->  Rel  F )

Proof of Theorem frel
StepHypRef Expression
1 ffn 5161 . 2  |-  ( F : A --> B  ->  F  Fn  A )
2 fnrel 5112 . 2  |-  ( F  Fn  A  ->  Rel  F )
31, 2syl 14 1  |-  ( F : A --> B  ->  Rel  F )
Colors of variables: wff set class
Syntax hints:    -> wi 4   Rel wrel 4443    Fn wfn 5010   -->wf 5011
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104
This theorem depends on definitions:  df-bi 115  df-fun 5017  df-fn 5018  df-f 5019
This theorem is referenced by:  fssxp  5178  fsn  5469  eluzel2  9024
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