{
  "schemaVersion": 1,
  "scope": "Compiled presence and kind only; does not compare theorem statements.",
  "primaryOwner": "ClassFieldTheory",
  "declarations": [
    {
      "name": "GlobalClassFieldTheory.Reciprocity.arithmeticGlobalNormResidueContinuousMulEquiv",
      "kind": "definition",
      "module": "Nyll.ClassFieldTheory.GlobalClassFieldTheory.Reciprocity.ArithmeticNormalization"
    },
    {
      "name": "GlobalClassFieldTheory.Reciprocity.arithmeticGlobalNormResidueMonoidHom_ker",
      "kind": "theorem"
    },
    {
      "name": "GlobalClassFieldTheory.Reciprocity.arithmeticGlobalNormResidueMonoidHom_surjective",
      "kind": "theorem"
    },
    {
      "name": "GlobalClassFieldTheory.GlobalClassFields.arithmeticClosedFiniteIndexClassFieldGaloisContinuousMulEquivNormQuotient",
      "kind": "definition",
      "module": "Nyll.ClassFieldTheory.GlobalClassFieldTheory.GlobalClassFields.ArithmeticClassFieldCorrespondence"
    },
    {
      "name": "GlobalClassFieldTheory.GlobalClassFields.closedFiniteIndexClassField_ideleClassNorm_range",
      "kind": "theorem"
    },
    {
      "name": "GlobalClassFieldTheory.GlobalClassFields.closedFiniteIndexClassField_finrank_eq_index",
      "kind": "theorem"
    },
    {
      "name": "GlobalClassFieldTheory.GlobalClassFields.infiniteAbelianClassFieldCorrespondence",
      "kind": "definition",
      "module": "Nyll.ClassFieldTheory.GlobalClassFieldTheory.GlobalClassFields.InfiniteAbelianClassFieldCorrespondence"
    },
    {
      "name": "GlobalClassFieldTheory.GlobalClassFields.infiniteAbelianClassFieldCorrespondence_finite_iff_open",
      "kind": "theorem"
    },
    {
      "name": "LocalClassFieldTheory.localReciprocityEquiv",
      "kind": "definition",
      "module": "Nyll.ClassFieldTheory.LocalClassFieldTheory.Finite.LocalReciprocity.TopologicalReciprocity"
    },
    {
      "name": "LocalClassFieldTheory.localArtinMap_surjective",
      "kind": "theorem"
    },
    {
      "name": "LocalClassFieldTheory.localArtinMap_ker",
      "kind": "theorem"
    },
    {
      "name": "LocalClassFieldTheory.profiniteLocalReciprocity",
      "kind": "definition",
      "module": "Nyll.ClassFieldTheory.LocalClassFieldTheory.Infinite.ProfiniteLocalReciprocity"
    },
    {
      "name": "LocalClassFieldTheory.profiniteLocalReciprocityHom_injective",
      "kind": "theorem"
    },
    {
      "name": "LocalClassFieldTheory.profiniteLocalReciprocity_completionMap",
      "kind": "theorem"
    },
    {
      "name": "LocalClassFieldTheory.absoluteLocalArtinMap_injective",
      "kind": "theorem"
    },
    {
      "name": "KroneckerWeber.exists_cyclotomicEmbedding",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.KroneckerWeber.Core"
    },
    {
      "name": "AlgebraicNumberTheory.PrimeSelection.exists_completelySplitPrime_modFour_one_not_mem",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.AlgebraicNumberTheory.NumberField.CompletelySplitPrimesModFour"
    },
    {
      "name": "AlgebraicNumberTheory.exists_finiteGaloisIntermediateField_le_finrank_ge_of_infinite_aut",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.AlgebraicNumberTheory.Galois.UnboundedDegree"
    },
    {
      "name": "AlgebraicNumberTheory.DiscriminantBounds.rootDiscr_le_of_natAbs_discr_le_pow",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.AlgebraicNumberTheory.NumberField.RootDiscriminantBound"
    },
    {
      "name": "ClassFieldTheory.finiteAbelianLocalReciprocity",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.LocalClassFieldTheory.FiniteAbelianLocalReciprocity"
    },
    {
      "name": "ClassFieldTheory.finiteAbelianLocalExistence_orderIso",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.LocalClassFieldTheory.FiniteAbelianLocalExistenceOrderIso"
    },
    {
      "name": "ClassFieldTheory.finiteAbelianGlobalReciprocity",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.GlobalClassFieldTheory.FiniteAbelianGlobalReciprocity"
    },
    {
      "name": "ClassFieldTheory.topologicalGlobalReciprocity",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.GlobalClassFieldTheory.TopologicalGlobalReciprocity"
    },
    {
      "name": "ClassFieldTheory.maximalAbelianGlobalArtin",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.GlobalClassFieldTheory.MaximalAbelianGlobalArtin"
    },
    {
      "name": "ClassFieldTheory.hasseArf",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.HasseArf.HasseArf"
    },
    {
      "name": "ClassFieldTheory.exists_perfectLocalHilbertPairing",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.HilbertSymbols.LocalHilbertPairingPerfectExists"
    },
    {
      "name": "ClassFieldTheory.exists_globalHilbertPairingFamily_productFormula",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.HilbertSymbols.HilbertProductFormula"
    },
    {
      "name": "ClassFieldTheory.cyclicHasseNormTheorem",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.NormTheorems.CyclicHasseNormTheorem"
    },
    {
      "name": "ClassFieldTheory.existsUnique_abelianConductor",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.ExistsUniqueAbelianConductor"
    },
    {
      "name": "ClassFieldTheory.rayClassField_reciprocity",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.ConductorsAndRayClassFields.RayClassFieldReciprocity"
    },
    {
      "name": "ClassFieldTheory.bigHilbertClassField_artinEquiv",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.FrobeniusAndHilbertClassFields.BigHilbertClassFieldArtinEquiv"
    },
    {
      "name": "ClassFieldTheory.smallHilbertClassField_artinEquiv",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.FrobeniusAndHilbertClassFields.SmallHilbertClassFieldArtinEquiv"
    },
    {
      "name": "ClassFieldTheory.ideals_becomePrincipalInSmallHilbertClassField",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.FrobeniusAndHilbertClassFields.SmallHilbertClassFieldPrincipalization"
    },
    {
      "name": "ClassFieldTheory.kroneckerWeber",
      "kind": "theorem",
      "module": "Nyll.ClassFieldTheory.Theorems.KroneckerWeber"
    }
  ]
}