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Theorem f1rel 5095
Description: A one-to-one onto mapping is a relation. (Contributed by NM, 8-Mar-2014.)
Assertion
Ref Expression
f1rel (𝐹:𝐴1-1𝐵 → Rel 𝐹)

Proof of Theorem f1rel
StepHypRef Expression
1 f1fn 5093 . 2 (𝐹:𝐴1-1𝐵𝐹 Fn 𝐴)
2 fnrel 4997 . 2 (𝐹 Fn 𝐴 → Rel 𝐹)
31, 2syl 14 1 (𝐹:𝐴1-1𝐵 → Rel 𝐹)
Colors of variables: wff set class
Syntax hints:  wi 4  Rel wrel 4350   Fn wfn 4897  1-1wf1 4899
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99
This theorem depends on definitions:  df-bi 110  df-fun 4904  df-fn 4905  df-f 4906  df-f1 4907
This theorem is referenced by: (None)
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