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Theorem frel 5272
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 5267 . 2  |-  ( F : A --> B  ->  F  Fn  A )
2 fnrel 5216 . 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 4539    Fn wfn 5113   -->wf 5114
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105
This theorem depends on definitions:  df-bi 116  df-fun 5120  df-fn 5121  df-f 5122
This theorem is referenced by:  fssxp  5285  fsn  5585  eluzel2  9324  hmeocnv  12465  metn0  12536
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