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Inductive typeType variableType constructorType theoryElementExtensionInitial and terminal objectsAlgebraic data typeBounded quantificationEnriched categoryIncidence algebraProjective objectMonad transformerMorphismClosed categoryExistence theoremFormal systemImageIntersection typePreorderDerivationPrimitive element theoremPropositional formulaContext-free grammarRepresentable functorRing homomorphismProduct typeMonoidal functorLarge cardinalMathematical theoryQuantizationIdealCoequalizerMathematical proofFunctional calculusPartial functionIdempotentMonoidEquivalence of categoriesDowncastingEquivalence relationFixed-point logicKleisli categoryPattern languageAxiomatic systemProfunctorContainerLinear extensionRepresentation theoremUniversal propertyScopeClosure operatorGroup extensionTyped lambda calculusMonomorphismCharacterizationProof calculusTransfer principleMathematical structureContext-free languageSet theoryContext-sensitive languageFull and faithful functorsConeAxiom schemaDependent typeFinite topological spaceAlgebra homomorphismF-coalgebraField normQuotient categoryNatural proofConceptCategory of setsGeneralized algebraic data typeSpanIntuitionistic type theorySetoidAxiom schema of replacementTruth valueFinite ringStructureModule homomorphismTransfinite inductionHierarchySectionStrong np-completenessImplicationArgument of a functionUnionSatisfiabilityFormulaSimple extensionFirst-countable spaceBasis functionSecond-order logicTop typeLogical formConditional proofComparison of topologies