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Axiom of extensionalityAxiom of infinityUnionAxiom of choiceAxiom of pairingAxiom of regularityAxiom of power setUniversal setAxiom of countable choiceCantor-bendixson theoremIntersectionExtensionalityAbsolute complementConnectionCompleteness axiomZorn's lemmaUnityAlgebraTransitive setAxiom systemIdealAxiomatic systemSupersetEquivalence classPartitionCountable setContinuum hypothesisEmpty setDisjoint unionRussell's paradoxCantor's theoremCardinalitySet theoryCounionEquivalence relationSetoidSymmetric differenceTransitive closureZermelo set theoryUniversal quantifierCartesian productBinary relationPower setUniversal algebraWell-orderSperner's theoremSetsCountable additivityUniverse of discourseSingletonHyperconnectionElementTotal orderSet operationOrder typeVenn diagramBijectionOrderZermelo's theoremUncountable setNull setSet-theoretic differenceClassSingleton setCartesian squareSurjectionLinear orderLaw of identityConsensus theoremTotally ordered setDe morgan's lawZermelo-fraenkel set theoryGeneralized continuum hypothesisElementary equivalenceOrdinal numberFamilyMaximalField axiomSumsetForcingPeano axiomComplementGrothendieck universeQuotient setSupremumTupleDirect productArithmetical setCorrespondenceUnderlying setRelative complementOrdered pairMembershipCoverPowerRelationUrelementField axiomsTopologySylow theorem