Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
order-extension principle
|
| gptkbp:appliesTo |
partially ordered sets
|
| gptkbp:field |
gptkb:set_theory
gptkb:order_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Szpilrajn extension theorem
|
| gptkbp:implies |
existence of linear extensions
|
| gptkbp:namedAfter |
gptkb:Edward_Szpilrajn
|
| gptkbp:publishedIn |
gptkb:Fundamenta_Mathematicae
|
| gptkbp:relatedTo |
gptkb:Zorn's_lemma
gptkb:Axiom_of_choice partial order total order basis for Zorn's lemma and applications in mathematics |
| gptkbp:sentence |
Every partial order can be extended to a total order.
|
| gptkbp:statedIn |
1930
|
| gptkbp:bfsParent |
gptkb:Edward_Szpilrajn
|
| gptkbp:bfsLayer |
6
|