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Theorem fnrel 6448
Description: A function with domain is a relation. (Contributed by NM, 1-Aug-1994.)
Assertion
Ref Expression
fnrel (𝐹 Fn 𝐴 → Rel 𝐹)

Proof of Theorem fnrel
StepHypRef Expression
1 fnfun 6447 . 2 (𝐹 Fn 𝐴 → Fun 𝐹)
2 funrel 6366 . 2 (Fun 𝐹 → Rel 𝐹)
31, 2syl 17 1 (𝐹 Fn 𝐴 → Rel 𝐹)
Colors of variables: wff setvar class
Syntax hints:  wi 4  Rel wrel 5554  Fun wfun 6343   Fn wfn 6344
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 208  df-an 397  df-fun 6351  df-fn 6352
This theorem is referenced by:  fnbr  6453  fnresdm  6460  fn0  6473  frel  6513  fcoi2  6547  f1rel  6572  f1ocnv  6621  dffn5  6718  feqmptdf  6729  fnsnfv  6737  fconst5  6961  fnex  6972  fnexALT  7643  tz7.48-2  8069  resfnfinfin  8793  zorn2lem4  9910  imasvscafn  16800  2oppchomf  16984  fnunres1  30285  bnj66  32032  fnimasnd  39001  fnresdmss  41304  dfafn5a  43240
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