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Statements (11)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:order_theory
lattice theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Dedekind's theorem
|
| gptkbp:namedAfter |
gptkb:Richard_Dedekind
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Dedekind_cut
completeness property |
| gptkbp:sentence |
Every nonempty subset of a totally ordered set that is bounded above has a least upper bound if and only if every nonempty subset that is bounded below has a greatest lower bound.
|
| gptkbp:bfsParent |
gptkb:Richard_Dedekind
|
| gptkbp:bfsLayer |
4
|