Zorn's Theorem

GPTKB entity

Statements (10)
Predicate Object
gptkbp:instanceOf mathematical theorem
gptkbp:appliesTo partially ordered sets
https://www.w3.org/2000/01/rdf-schema#label Zorn's Theorem
gptkbp:isEquippedWith AC_(Axiom_of_Choice)
gptkbp:isNamedAfter gptkb:Max_Zorn
gptkbp:isRelatedTo gptkb:Zorn's_Lemma
gptkbp:isUsedIn algebra
set theory
topology
gptkbp:state Every non-empty partially ordered set in which every chain has an upper bound contains at least one maximal element.