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Relatively compact subspaceTransitive closureSequential compactnessHeine-borel theoremTychonoff's theoremAxiom of regularityFinite setConstructible universeCofinitenessParacompact spaceAxiomatic systemSyntactic monoidSkolem normal formTransfer principleExistential theory of the realsValuationIncidence algebraComplete measureSatisfiabilityMatiyasevich's theoremLöb's theoremElementary equivalenceClosure operatorAxiom of unionClosed setCantor-bendixson theoremStructureCountable setAlgebraic posetCompletenessPartition of a setFirst-countable spaceFinite topological spaceComplete boolean algebraInclusion functionCantor's theoremModel theorySubsetLogical equivalenceTheoremSequentially compact spaceContinuum hypothesisWell-orderAxiom of extensionalityFirst-order logicAxiom of pairingAxiom schema of replacementModel of computationClosureStrengthExtensionalityRecursive languageCompact-open topologySperner's theoremModelTotally bounded spaceRepresentation theoremPower setClosed-subgroup theoremTransitive relationAxiom of infinityMathematical theoryLie's third theoremHerbrand's theoremExact coverClauseRegular measureSatisfiability modulo theoriesFeit-thompson theoremMeasurable functionCountable additivityClosed-form expressionCompact groupFinitely generated moduleZorn's lemmaResolutionAxiom of choiceCompact operatorSmall categoryPerfect setArithmetical setClassSecond-order logicAxiom of power setLikelihood principleCompact convergenceLatticeBounded inverse theoremSystem of equationsMathematical proofPropositional logicWell-orderingFinite measureSet theoryLefschetz fixed-point theoremProvability logicAlgebraically closed fieldInitial and terminal objectsSecond-order arithmeticModel checking