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Theorem frel 5245
Description: A mapping is a relation. (Contributed by NM, 3-Aug-1994.)
Assertion
Ref Expression
frel (𝐹:𝐴𝐵 → Rel 𝐹)

Proof of Theorem frel
StepHypRef Expression
1 ffn 5240 . 2 (𝐹:𝐴𝐵𝐹 Fn 𝐴)
2 fnrel 5189 . 2 (𝐹 Fn 𝐴 → Rel 𝐹)
31, 2syl 14 1 (𝐹:𝐴𝐵 → Rel 𝐹)
Colors of variables: wff set class
Syntax hints:  wi 4  Rel wrel 4512   Fn wfn 5086  wf 5087
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 5093  df-fn 5094  df-f 5095
This theorem is referenced by:  fssxp  5258  fsn  5558  eluzel2  9280  hmeocnv  12371  metn0  12442
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