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- Szpilrajn_extension_theorem abstract "In mathematics, the Szpilrajn extension theorem, due to Edward Szpilrajn (1930) (later called Edward Marczewski), is one of many examples of the use of the axiom of choice (in the form of Zorn's lemma) to find a maximal set with certain properties.The theorem states that every strict partial order is contained into a total order, where: a strict partial order is a irreflexive and transitive relation a total order is a strict partial order that is also totalIntuitively, the theorem states that a comparison between elements that leaves some pairs incomparable can be extended in such a way every element is either less than or greater than another.".
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- Szpilrajn_extension_theorem wikiPageOutDegree "21".
- Szpilrajn_extension_theorem wikiPageRevisionID "657518243".
- Szpilrajn_extension_theorem wikiPageWikiLink Axiom_of_choice.
- Szpilrajn_extension_theorem wikiPageWikiLink Binary_relation.
- Szpilrajn_extension_theorem wikiPageWikiLink Category:Articles_containing_proofs.
- Szpilrajn_extension_theorem wikiPageWikiLink Category:Axiom_of_choice.
- Szpilrajn_extension_theorem wikiPageWikiLink Category:Theorems_in_the_foundations_of_mathematics.
- Szpilrajn_extension_theorem wikiPageWikiLink Edward_Marczewski.
- Szpilrajn_extension_theorem wikiPageWikiLink Fundamenta_Mathematicae.
- Szpilrajn_extension_theorem wikiPageWikiLink Partially_ordered_set.
- Szpilrajn_extension_theorem wikiPageWikiLink Preorder.
- Szpilrajn_extension_theorem wikiPageWikiLink Quasiorder.
- Szpilrajn_extension_theorem wikiPageWikiLink Reflexive_relation.
- Szpilrajn_extension_theorem wikiPageWikiLink Strict_partial_order.
- Szpilrajn_extension_theorem wikiPageWikiLink Total_order.
- Szpilrajn_extension_theorem wikiPageWikiLink Total_relation.
- Szpilrajn_extension_theorem wikiPageWikiLink Transitive_closure.
- Szpilrajn_extension_theorem wikiPageWikiLink Transitive_relation.
- Szpilrajn_extension_theorem wikiPageWikiLink Zorns_lemma.
- Szpilrajn_extension_theorem wikiPageWikiLinkText "Szpilrajn extension theorem".
- Szpilrajn_extension_theorem authorlink "Edward Szpilrajn".
- Szpilrajn_extension_theorem first "Edward".
- Szpilrajn_extension_theorem hasPhotoCollection Szpilrajn_extension_theorem.
- Szpilrajn_extension_theorem last "Szpilrajn".
- Szpilrajn_extension_theorem wikiPageUsesTemplate Template:Citation.
- Szpilrajn_extension_theorem wikiPageUsesTemplate Template:Harvs.
- Szpilrajn_extension_theorem year "1930".
- Szpilrajn_extension_theorem subject Category:Articles_containing_proofs.
- Szpilrajn_extension_theorem subject Category:Axiom_of_choice.
- Szpilrajn_extension_theorem subject Category:Theorems_in_the_foundations_of_mathematics.
- Szpilrajn_extension_theorem hypernym Examples.
- Szpilrajn_extension_theorem type Article.
- Szpilrajn_extension_theorem type Building.
- Szpilrajn_extension_theorem type Article.
- Szpilrajn_extension_theorem type Proof.
- Szpilrajn_extension_theorem type Theorem.
- Szpilrajn_extension_theorem comment "In mathematics, the Szpilrajn extension theorem, due to Edward Szpilrajn (1930) (later called Edward Marczewski), is one of many examples of the use of the axiom of choice (in the form of Zorn's lemma) to find a maximal set with certain properties.The theorem states that every strict partial order is contained into a total order, where: a strict partial order is a irreflexive and transitive relation a total order is a strict partial order that is also totalIntuitively, the theorem states that a comparison between elements that leaves some pairs incomparable can be extended in such a way every element is either less than or greater than another.".
- Szpilrajn_extension_theorem label "Szpilrajn extension theorem".
- Szpilrajn_extension_theorem sameAs Satz_von_Marczewski-Szpilrajn.
- Szpilrajn_extension_theorem sameAs 슈필라인_확장정리.
- Szpilrajn_extension_theorem sameAs m.076vpz5.
- Szpilrajn_extension_theorem sameAs Теорема_Шпильрайна.
- Szpilrajn_extension_theorem sameAs Q869647.
- Szpilrajn_extension_theorem sameAs Q869647.
- Szpilrajn_extension_theorem wasDerivedFrom Szpilrajn_extension_theorem?oldid=657518243.
- Szpilrajn_extension_theorem isPrimaryTopicOf Szpilrajn_extension_theorem.