{
  "af.divisor_function": {
    "ArithmeticFunction.divisorFunction": "LeanBridge.ForMathlib.NumberTheory.ArithmeticFunction.DivisorFunction",
    "ArithmeticFunction.isMultiplicative_divisorFunction": "LeanBridge.ForMathlib.NumberTheory.ArithmeticFunction.DivisorFunction",
    "ArithmeticFunction.divisorFunction_natCast": "LeanBridge.ForMathlib.NumberTheory.ArithmeticFunction.DivisorFunction",
    "ArithmeticFunction.sigma": "Mathlib.NumberTheory.ArithmeticFunction.Misc"
  },
  "ag.abelian_surface": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.dim": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.prod": "TauCeti.AlgebraicGeometry.AbelianVariety.Product"
  },
  "ag.abelian_variety": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "ag.affine_space": {
    "AlgebraicGeometry.AffineSpace": "Mathlib.AlgebraicGeometry.AffineSpace",
    "AlgebraicGeometry.AffineSpace.homOverEquiv": "Mathlib.AlgebraicGeometry.AffineSpace",
    "AlgebraicGeometry.AffineSpace.coord": "Mathlib.AlgebraicGeometry.AffineSpace"
  },
  "ag.arithmetic_genus": {
    "AlgebraicGeometry.Scheme.Modules.eulerCharBelow": "TauCeti.AlgebraicGeometry.Cohomology.EulerCharacteristic",
    "AlgebraicGeometry.Scheme.genus": "TauCeti.AlgebraicGeometry.Cohomology.Genus"
  },
  "ag.base_change": {
    "AlgebraicGeometry.Scheme.IsBaseChangeFromSubfield": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "AlgebraicGeometry.Scheme.isBaseChangeFromSubfield_iff": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "AlgebraicGeometry.Scheme.isBaseChangeFromSubfield_pullback": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "CategoryTheory.Over.pullback": "Mathlib.CategoryTheory.Comma.Over.Pullback",
    "AlgebraicGeometry.Scheme.IsVarietyOver": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Basic"
  },
  "ag.base_field": {
    "AlgebraicGeometry.Scheme.Over": "Mathlib.AlgebraicGeometry.Over"
  },
  "ag.complex_multiplication": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.HasComplexMultiplication": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.ComplexMultiplication",
    "TauCeti.AlgebraicGeometry.AbelianVariety.EndAlgebra": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.ComplexMultiplication",
    "TauCeti.AlgebraicGeometry.AbelianVariety.hasComplexMultiplication_congr": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.ComplexMultiplication",
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic",
    "NumberField.IsCMField": "Mathlib.NumberTheory.NumberField.CMField"
  },
  "ag.curve": {
    "AlgebraicGeometry.Scheme.IsAlgebraicCurveOver": "LeanBridge.ForMathlib.AlgebraicGeometry.Curve.Basic",
    "AlgebraicGeometry.Scheme.isAlgebraicCurveOver_iff_isCurveOver_and_geometricallyIntegral": "LeanBridge.ForMathlib.AlgebraicGeometry.Curve.Basic",
    "AlgebraicGeometry.Scheme.IsAlgebraicCurveOver.isFunctionField": "LeanBridge.ForMathlib.AlgebraicGeometry.Curve.Basic",
    "AlgebraicGeometry.Scheme.IsVarietyOver": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Basic",
    "AlgebraicGeometry.Scheme.IsCurveOver": "TauCeti.AlgebraicGeometry.Curves.Basic"
  },
  "ag.curve.genus": {
    "AlgebraicGeometry.Scheme.IsCurveOver": "TauCeti.AlgebraicGeometry.Curves.Basic",
    "AlgebraicGeometry.Scheme.genus": "TauCeti.AlgebraicGeometry.Cohomology.Genus",
    "TauCeti.genus": "TauCeti.FieldTheory.FunctionField.RiemannRoch.Genus"
  },
  "ag.curve.smooth": {
    "AlgebraicGeometry.Smooth": "Mathlib.AlgebraicGeometry.Morphisms.Smooth",
    "AlgebraicGeometry.Scheme.Hom.smoothLocus_eq_top_iff": "Mathlib.AlgebraicGeometry.Morphisms.Smooth"
  },
  "ag.dimension": {
    "topologicalKrullDim": "Mathlib.Topology.KrullDimension",
    "TopologicalSpace.IrreducibleCloseds": "Mathlib.Topology.Sets.Closeds"
  },
  "ag.endomorphism_algebra": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic"
  },
  "ag.endomorphism_ring": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic"
  },
  "ag.geom_endomorphism_algebra": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.End.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.End.BaseChange",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "ag.geom_endomorphism_ring": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.End.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.End.BaseChange",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "ag.geom_simple": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsGeometricallySimple": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.isGeometricallySimple_congr": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsSimple": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "ag.holomorphic_euler_char": {
    "AlgebraicGeometry.Scheme.Modules.eulerCharBelow": "TauCeti.AlgebraicGeometry.Cohomology.EulerCharacteristic"
  },
  "ag.irreducible": {
    "IrreducibleSpace": "Mathlib.Topology.Irreducible",
    "AlgebraicGeometry.GeometricallyIrreducible": "Mathlib.AlgebraicGeometry.Geometrically.Irreducible"
  },
  "ag.minimal_field": {
    "AlgebraicGeometry.Scheme.fieldsOfDefinition": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "AlgebraicGeometry.Scheme.IsMinimalFieldOfDefinition": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "AlgebraicGeometry.Scheme.top_mem_fieldsOfDefinition": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "AlgebraicGeometry.Scheme.isUpperSet_fieldsOfDefinition": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition",
    "AlgebraicGeometry.Scheme.mem_fieldsOfDefinition_pullback": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.FieldOfDefinition"
  },
  "ag.mordell_weil": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "ag.real_endomorphism_algebra": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic"
  },
  "ag.real_geom_endomorphism_algebra": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "ag.riemann_surface": {
    "IsManifold": "Mathlib.Geometry.Manifold.IsManifold.Basic",
    "ChartedSpace": "Mathlib.Geometry.Manifold.ChartedSpace",
    "ConnectedSpace": "Mathlib.Topology.Connected.Basic",
    "T2Space": "Mathlib.Topology.Separation.Hausdorff"
  },
  "ag.simple": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsSimple": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.isSimple_congr": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.not_isSimple_trivial": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsIsogenous": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Isogenous",
    "TauCeti.AlgebraicGeometry.AbelianVariety.prod": "TauCeti.AlgebraicGeometry.AbelianVariety.Product"
  },
  "ag.singular_point": {
    "AlgebraicGeometry.Scheme.Hom.smoothLocus": "Mathlib.AlgebraicGeometry.Morphisms.Smooth",
    "Algebra.smoothLocus": "Mathlib.RingTheory.Smooth.Locus",
    "Algebra.smoothLocus_eq_compl_support_inter": "Mathlib.RingTheory.Smooth.Locus"
  },
  "ag.variety": {
    "MvPolynomial.IsAffineAlgebraicSet": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Affine",
    "MvPolynomial.IsAffineVarietyOver": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Affine",
    "MvPolynomial.IsProjectiveAlgebraicSet": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Projective",
    "MvPolynomial.IsProjectiveVarietyOver": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Projective",
    "AlgebraicGeometry.Scheme.IsVarietyOver": "LeanBridge.ForMathlib.AlgebraicGeometry.Variety.Basic"
  },
  "alg.binary_operation.associative": {
    "Std.Associative": "Init.Core",
    "Semigroup": "Mathlib.Algebra.Group.Semigroup"
  },
  "alg.binary_operation.commutative": {
    "Std.Commutative": "Init.Core",
    "CommMagma": "Mathlib.Algebra.Group.Semigroup"
  },
  "alg.binary_operation.identity": {
    "Std.LawfulIdentity": "Init.Core",
    "MulOneClass": "Mathlib.Algebra.Group.Monoid",
    "MulOneClass.ext": "Mathlib.Algebra.Group.Monoid"
  },
  "alg.symplectic_isomorphism": {
    "LinearEquiv.IsSymplectic": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SymplecticIsomorphism",
    "LinearEquiv.isSymplectic_iff": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SymplecticIsomorphism",
    "exteriorPower.map": "Mathlib.LinearAlgebra.ExteriorPower.Basic"
  },
  "artin": {
    "Representation.IsArtin": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "Representation.artinField": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "Representation.isArtin_iff_exists_finiteGaloisIntermediateField": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "Representation.isArtin_iff_continuous": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "Representation.IsArtin.artinField_le_iff": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic"
  },
  "artin.conductor": {
    "Representation.artinConductor": "LeanBridge.ForMathlib.NumberTheory.Artin.Conductor",
    "Representation.artinConductorExponent": "LeanBridge.ForMathlib.NumberTheory.Artin.Conductor",
    "Representation.artinConductorExponentAt": "LeanBridge.ForMathlib.NumberTheory.Artin.Conductor",
    "Representation.artinConductorExponent_eq": "LeanBridge.ForMathlib.NumberTheory.Artin.Conductor",
    "Ideal.ramificationGroup": "TauCeti.RingTheory.Ideal.RamificationGroup"
  },
  "artin.frobenius_schur_indicator": {
    "FDRep.frobeniusSchurIndicator": "TauCeti.RepresentationTheory.CharacterTable.FrobeniusSchur.Basic",
    "TauCeti.Representation.frobeniusSchurIndicator": "TauCeti.RepresentationTheory.CharacterTable.FrobeniusSchur.Basic"
  },
  "artin.number_field": {
    "Representation.artinField": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "IntermediateField.fixedField": "Mathlib.FieldTheory.Galois.Basic",
    "MonoidHom.ker": "Mathlib.Algebra.Group.Subgroup.Ker",
    "InfiniteGalois.IntermediateFieldEquivClosedSubgroup": "Mathlib.FieldTheory.Galois.Infinite",
    "InfiniteGalois.isOpen_and_normal_iff_finite_and_isGalois": "Mathlib.FieldTheory.Galois.Infinite"
  },
  "artin.parity": {
    "Representation.IsEven": "LeanBridge.ForMathlib.NumberTheory.Artin.Parity",
    "Representation.IsOdd": "LeanBridge.ForMathlib.NumberTheory.Artin.Parity",
    "Field.absoluteGaloisGroup.complexConjugation": "LeanBridge.ForMathlib.NumberTheory.Artin.Parity",
    "Representation.det_complexConjugation_eq": "LeanBridge.ForMathlib.NumberTheory.Artin.Parity",
    "Representation.isEven_or_isOdd": "LeanBridge.ForMathlib.NumberTheory.Artin.Parity"
  },
  "artin.ramified_primes": {
    "Algebra.IsUnramifiedIn": "Mathlib.RingTheory.Unramified.Locus",
    "Representation.artinField": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "Algebra.isUnramifiedIn_iff_forall_ramificationIdx_eq_one": "Mathlib.NumberTheory.RamificationInertia.Unramified"
  },
  "artin.unramified_primes": {
    "Algebra.IsUnramifiedIn": "Mathlib.RingTheory.Unramified.Locus",
    "Representation.artinField": "LeanBridge.ForMathlib.NumberTheory.Artin.Basic",
    "Algebra.isUnramifiedIn_iff_forall_ramificationIdx_eq_one": "Mathlib.NumberTheory.RamificationInertia.Unramified"
  },
  "av.fq.group_structure": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.GroupScheme.baseChangePointMulEquiv": "TauCeti.AlgebraicGeometry.GroupScheme.CentralIsogeny.BaseChange"
  },
  "av.is_product": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.prod": "TauCeti.AlgebraicGeometry.AbelianVariety.Product"
  },
  "av.simple": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsSimple": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.isSimple_congr": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.not_isSimple_trivial": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Simple",
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsIsogenous": "LeanBridge.ForMathlib.AlgebraicGeometry.AbelianVariety.Isogenous",
    "TauCeti.AlgebraicGeometry.AbelianVariety.prod": "TauCeti.AlgebraicGeometry.AbelianVariety.Product"
  },
  "av.tate_module": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.GroupScheme.torsion": "TauCeti.AlgebraicGeometry.GroupScheme.Torsion",
    "TauCeti.TateModule": "TauCeti.Algebra.Module.Torsion.TateModule",
    "WeierstrassCurve.tateModuleGaloisRepresentation": "TauCeti.AlgebraicGeometry.EllipticCurve.TateModule.Galois"
  },
  "av.twist": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "belyi.abc": {
    "TauCeti.PermutationTriple": "TauCeti.Combinatorics.PermutationTriple.Basic",
    "TauCeti.PermutationTriple.orderTriple": "TauCeti.Combinatorics.PermutationTriple.GeometryType"
  },
  "belyi.geometry_type": {
    "TauCeti.GeometryType": "TauCeti.Combinatorics.PermutationTriple.GeometryType",
    "TauCeti.GeometryType.ofOrders": "TauCeti.Combinatorics.PermutationTriple.GeometryType",
    "TauCeti.IsSphericalSignature": "TauCeti.GroupTheory.TriangleGroup.Signatures",
    "TauCeti.PermutationTriple.geometryType": "TauCeti.Combinatorics.PermutationTriple.GeometryType",
    "TauCeti.TriangleGroup": "TauCeti.GroupTheory.TriangleGroup.Basic"
  },
  "belyi.group": {
    "TauCeti.PermutationTriple.IsConnected": "TauCeti.Combinatorics.PermutationTriple.Basic",
    "TauCeti.PermutationTriple.monodromyGroup": "TauCeti.Combinatorics.PermutationTriple.Basic",
    "TauCeti.TransitiveGroupLabel": "TauCeti.GroupTheory.Perm.TransitiveGroupLabel.Basic"
  },
  "belyi.passport": {
    "TauCeti.PassportSpec": "TauCeti.Combinatorics.PermutationTriple.Passport.Basic",
    "TauCeti.PassportSpec.HasPassport": "TauCeti.Combinatorics.PermutationTriple.Passport.Basic",
    "TauCeti.PassportSpec.IsAdmissible": "TauCeti.Combinatorics.PermutationTriple.Passport.Basic"
  },
  "belyi.permutation_triple": {
    "TauCeti.ConnectedTriple": "TauCeti.Combinatorics.PermutationTriple.IsoClass",
    "TauCeti.PermutationTriple": "TauCeti.Combinatorics.PermutationTriple.Basic",
    "TauCeti.PermutationTriple.IsConnected": "TauCeti.Combinatorics.PermutationTriple.Basic",
    "TauCeti.PermutationTriple.equivOppositeConvention": "TauCeti.Combinatorics.PermutationTriple.Basic"
  },
  "character.dirichlet.galois_orbit": {
    "MulChar.galoisOrbit": "TauCeti.NumberTheory.MulChar.GaloisOrbit"
  },
  "character.dirichlet.galois_orbit_index": {
    "DirichletCharacter.galoisOrbitIndex": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.galoisOrbitTraceVector": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.galoisOrbitIndex_eq_iff": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.galoisOrbitTraceVector_eq_iff": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.galoisOrbitIndex_one": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel"
  },
  "character.dirichlet.galois_orbit_label": {
    "DirichletCharacter.galoisOrbitLabel": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.letterCode": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.letterCode_zero": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.letterCode_one": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel",
    "DirichletCharacter.letterCode_twentySix": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.GaloisOrbitLabel"
  },
  "character.dirichlet.minimal": {
    "DirichletCharacter.IsMinimal": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.Minimal",
    "DirichletCharacter.IsMinimalOfPrimePowerModulus": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.Minimal",
    "DirichletCharacter.primePowerPart": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.Minimal",
    "DirichletCharacter.IsPrimitive.isMinimalOfPrimePowerModulus": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.Minimal",
    "DirichletCharacter.isMinimalOfPrimePowerModulus_one_iff": "LeanBridge.ForMathlib.NumberTheory.DirichletCharacter.Minimal"
  },
  "character.dirichlet.modulus": {
    "DirichletCharacter": "Mathlib.NumberTheory.DirichletCharacter.Basic",
    "MulChar": "Mathlib.NumberTheory.MulChar.Basic",
    "DirichletCharacter.apply_eq_zero_iff": "Mathlib.NumberTheory.DirichletCharacter.Basic",
    "MulChar.apply_mem_rootsOfUnity": "Mathlib.NumberTheory.MulChar.Lemmas"
  },
  "character.dirichlet.principal": {
    "MulChar.trivial": "Mathlib.NumberTheory.MulChar.Basic",
    "MulChar.trivial_apply": "Mathlib.NumberTheory.MulChar.Basic",
    "DirichletCharacter.factorsThrough_one_iff": "Mathlib.NumberTheory.DirichletCharacter.Basic"
  },
  "character.dirichlet.value_field": {
    "TauCeti.CharacterField": "TauCeti.NumberTheory.ModularForms.Newforms.Fields",
    "IntermediateField.adjoin": "Mathlib.FieldTheory.IntermediateField.Adjoin.Defs"
  },
  "cmf": {
    "ModularForm": "Mathlib.NumberTheory.ModularForms.Basic",
    "SlashInvariantForm.slash_action_eqn'": "Mathlib.NumberTheory.ModularForms.SlashInvariantForms"
  },
  "cmf.analytic_conductor": {
    "HeckeRing.GL2.Newform.analyticConductorLMFDB": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.AnalyticConductor",
    "HeckeRing.GL2.Newform.ofReal_analyticConductorLMFDB": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.AnalyticConductor",
    "HeckeRing.GL2.Newform.analyticConductorLMFDB_pos": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.AnalyticConductor",
    "Complex.digamma_ofReal_im": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.AnalyticConductor"
  },
  "cmf.analytic_rank": {
    "HeckeRing.GL2.Newform.analyticRank": "TauCeti.NumberTheory.ModularForms.Newforms.AnalyticInvariants"
  },
  "cmf.artin_field": {
    "HeckeRing.GL2.Newform.GaloisRep.artinField": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation",
    "HeckeRing.GL2.Newform.GaloisRep.finrank_artinField": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation"
  },
  "cmf.artin_image": {
    "HeckeRing.GL2.Newform.GaloisRep.artinImage": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation",
    "HeckeRing.GL2.Newform.GaloisRep.finrank_artinField": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation"
  },
  "cmf.atkin-lehner": {
    "HeckeRing.GL2.Newform.atkinLehnerSign": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Sign",
    "TauCeti.IsAtkinLehnerMatrix": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Matrix",
    "TauCeti.Nat.IsExactDivisor.normalizedAtkinLehnerOperatorCusp": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Normalized",
    "TauCeti.atkinLehnerMatrix": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Matrix",
    "TauCeti.atkinLehnerOperatorCusp": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Operator"
  },
  "cmf.bad_prime": {
    "Nat.primeFactors": "Mathlib.Data.Nat.PrimeFin",
    "Nat.mem_primeFactors": "Mathlib.Data.Nat.PrimeFin",
    "CongruenceSubgroup.Gamma": "Mathlib.NumberTheory.ModularForms.CongruenceSubgroups"
  },
  "cmf.character": {
    "HeckeRing.GL2.Newform.dirichletLift": "TauCeti.NumberTheory.ModularForms.Newforms.Newform",
    "modFormCharSpace": "TauCeti.NumberTheory.ModularForms.DiamondOperators"
  },
  "cmf.cm_form": {
    "HeckeRing.GL2.Newform.HasCM": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.HasCMBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "Int.IsFundamentalDiscr.kroneckerChar": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.HasCM.exists_hasSelfTwist": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.IsGaloisConjugate.hasCMBy_iff": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist"
  },
  "cmf.coefficient_field": {
    "TauCeti.CoefficientField": "TauCeti.NumberTheory.ModularForms.Newforms.Fields"
  },
  "cmf.coefficient_ring": {
    "UpperHalfPlane.qExpansionCoeffRing": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.coefficientRing": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.coefficientOrder": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.finiteIndex_coefficientOrder": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.isIntegral_qExpansion_coeff": "TauCeti.NumberTheory.ModularForms.Newforms.NumberField"
  },
  "cmf.cusp_form": {
    "CuspForm": "Mathlib.NumberTheory.ModularForms.Basic",
    "ModularForm.cuspFormSubmodule": "Mathlib.NumberTheory.ModularForms.CuspFormSubmodule",
    "CuspFormClass.qExpansion_coeff_zero": "Mathlib.NumberTheory.ModularForms.QExpansion"
  },
  "cmf.defining_polynomial": {
    "TauCeti.CoefficientField": "TauCeti.NumberTheory.ModularForms.Newforms.Fields"
  },
  "cmf.dimension": {
    "HeckeRing.GL2.Newform.dimension": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Dimension",
    "HeckeRing.GL2.Newform.relativeDimension": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Dimension",
    "HeckeRing.GL2.Newform.finrank_span_toCuspForm_eq_finrank": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Dimension",
    "HeckeRing.GL2.Newform.dimension_eq_finrank": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Dimension",
    "Module.finrank": "Mathlib.LinearAlgebra.Dimension.Finrank"
  },
  "cmf.dualform": {
    "CuspForm.conj": "TauCeti.NumberTheory.ModularForms.Conjugate",
    "HeckeRing.GL2.Newform.conj": "TauCeti.NumberTheory.ModularForms.Newforms.Conjugate"
  },
  "cmf.eisenstein_form": {
    "ModularForm.eisensteinFormSubmodule": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Subspace",
    "ModularForm.eisensteinFormCharSpace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Subspace",
    "ModularForm.isCompl_eisensteinFormSubmodule_cuspFormSubmodule": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Subspace",
    "ModularForm.isCompl_eisensteinFormCharSpace_range_cuspToModFormCharSpace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Subspace"
  },
  "cmf.eisenstein_series": {
    "EisensteinSeries.charEisensteinSeries": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Series",
    "EisensteinSeries.charEisensteinCoeff": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Series",
    "EisensteinSeries.hasSum_charEisensteinSeries": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Series",
    "EisensteinSeries.qExpansion_normalizedCharEisensteinSeriesMF": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Series",
    "EisensteinSeries.charEisensteinSeries_eq_normalizedCharEisensteinSeriesMF": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Eisenstein.Series"
  },
  "cmf.eta_quotient": {
    "ModularForm.eta": "Mathlib.NumberTheory.ModularForms.DedekindEta",
    "ModularForm.eta_ne_zero": "Mathlib.NumberTheory.ModularForms.DedekindEta"
  },
  "cmf.fouriercoefficients": {
    "UpperHalfPlane.qExpansion": "Mathlib.NumberTheory.ModularForms.QExpansion",
    "PowerSeries.coeff": "Mathlib.RingTheory.PowerSeries.Basic",
    "UpperHalfPlane.hasSum_qExpansion": "Mathlib.NumberTheory.ModularForms.QExpansion",
    "UpperHalfPlane.cuspFunction": "Mathlib.NumberTheory.ModularForms.QExpansion",
    "Subgroup.strictWidthInfty": "Mathlib.NumberTheory.ModularForms.Cusps"
  },
  "cmf.fricke": {
    "CuspForm.frickeCompletedL": "TauCeti.NumberTheory.ModularForms.LFunction.FunctionalEquation",
    "HeckeRing.GL2.Newform.frickePseudoEigenvalue": "TauCeti.NumberTheory.ModularForms.Newforms.Fricke",
    "HeckeRing.GL2.Newform.frickeSign": "TauCeti.NumberTheory.ModularForms.Newforms.Fricke",
    "TauCeti.Nat.IsExactDivisor.normalizedAtkinLehnerOperatorCusp": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Normalized",
    "TauCeti.normalizedFrickeOperatorCusp": "TauCeti.NumberTheory.ModularForms.Fricke.Normalized"
  },
  "cmf.galois_conjugate": {
    "HeckeRing.GL2.Newform.IsGaloisConjugate": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisConjugate",
    "HeckeRing.GL2.Newform.IsGaloisConjugateBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisConjugate",
    "HeckeRing.GL2.Newform.isGaloisConjugateBy_iff_forall_pnat": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisConjugate",
    "HeckeRing.GL2.Newform.isGaloisConjugate_iff_exists_isEmbedding": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Embedding",
    "HeckeRing.GL2.Newform.ncard_galoisOrbit_le": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisOrbit"
  },
  "cmf.galois_orbit": {
    "HeckeRing.GL2.Newform.galoisOrbit": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisOrbit",
    "HeckeRing.GL2.NewformOrbit": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisOrbit",
    "HeckeRing.GL2.Newform.galoisOrbitRel": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisOrbit",
    "HeckeRing.GL2.Newform.finite_galoisOrbit": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.GaloisOrbit",
    "HeckeRing.GL2.Newform.galoisOrbitBasis": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.NewformSubspace"
  },
  "cmf.hecke_operator": {
    "HeckeRing.GL2.heckeRingHomCharSpace": "TauCeti.NumberTheory.ModularForms.HeckeSlash.Nebentypus.Action",
    "HeckeRing.GL2.heckeTCompositeGamma0": "TauCeti.NumberTheory.HeckeRing.GL2.Gamma0.Diagonal.Composite",
    "HeckeRing.GL2.heckeTNat": "TauCeti.NumberTheory.ModularForms.HeckeSlash.Operators"
  },
  "cmf.hecke_orbit": {
    "HeckeRing.GL2.heckeRingHomCuspCharSpace": "TauCeti.NumberTheory.ModularForms.HeckeSlash.Nebentypus.Action",
    "HeckeRing.GL2.heckeTCuspNat": "TauCeti.NumberTheory.ModularForms.HeckeSlash.Operators"
  },
  "cmf.hecke_ring_generators": {
    "HeckeRing.GL2.Newform.coefficientRingGeneratorBound": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.truncCoefficientRing": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.truncCoefficientRing_coefficientRingGeneratorBound": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.coefficientRingGeneratorBound_le": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing",
    "HeckeRing.GL2.Newform.nonempty_truncCoefficientRing_eq": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.CoefficientRing"
  },
  "cmf.heckecharpolys": {
    "HeckeRing.GL2.Newform.heckeCharpoly": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.HeckeCharpoly",
    "HeckeRing.GL2.Newform.heckeCharpoly_eq_prod": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.HeckeCharpoly",
    "HeckeRing.GL2.Newform.IsGaloisConjugate.heckeCharpoly_eq": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.HeckeCharpoly",
    "HeckeRing.GL2.heckeTCuspNat": "TauCeti.NumberTheory.ModularForms.HeckeSlash.Operators"
  },
  "cmf.inner_twist": {
    "HeckeRing.GL2.Newform.IsInnerTwist": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.HasInnerTwist": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.innerTwists": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.mk_self_mem_innerTwists_iff": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.mk_ringHomComp_mem_innerTwists": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist"
  },
  "cmf.inner_twist_count": {
    "HeckeRing.GL2.Newform.innerTwistCount": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.innerTwists": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.IsGaloisConjugateBy.innerTwistCount_eq": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist"
  },
  "cmf.inner_twist_multiplicity": {
    "HeckeRing.GL2.Newform.innerTwistMultiplicity": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.HasInnerTwist": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.IsGaloisConjugateBy.innerTwistMultiplicity_eq": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "MulChar.galoisOrbit": "TauCeti.NumberTheory.MulChar.GaloisOrbit"
  },
  "cmf.level": {
    "ModularForm.IsLevel": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Level",
    "ModularForm.isLevel_iff": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Level",
    "HeckeRing.GL2.Newform.level": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Level",
    "HeckeRing.GL2.Newform.level_le": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Level",
    "CongruenceSubgroup.Gamma": "Mathlib.NumberTheory.ModularForms.CongruenceSubgroups"
  },
  "cmf.maximal": {
    "HeckeRing.GL2.Newform.IsMaximal": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Maximal",
    "HeckeRing.GL2.Newform.IsLargest": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Maximal",
    "HeckeRing.GL2.Newform.ambientSubspace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Maximal",
    "HeckeRing.GL2.Newform.ambientNewforms": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Maximal",
    "HeckeRing.GL2.Newform.isMaximal_iff": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Maximal"
  },
  "cmf.minimal": {
    "HeckeRing.GL2.Newform.IsMinimal": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Minimal",
    "HeckeRing.GL2.Newform.isMinimal_iff_isTwistMinimal": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Minimal"
  },
  "cmf.minus_space": {
    "TauCeti.Nat.IsExactDivisor.normalizedAtkinLehnerOperatorCusp": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Normalized"
  },
  "cmf.newform": {
    "HeckeRing.GL2.Newform": "TauCeti.NumberTheory.ModularForms.Newforms.Newform",
    "HeckeRing.GL2.Newform.basis": "TauCeti.NumberTheory.ModularForms.Newforms.OrthogonalBasis",
    "HeckeRing.GL2.Newform.toEigenform": "TauCeti.NumberTheory.ModularForms.Newforms.FullEigenform",
    "TauCeti.cuspFormsNew": "TauCeti.NumberTheory.ModularForms.Newforms.Basic"
  },
  "cmf.newform_subspace": {
    "HeckeRing.GL2.Newform.newformSubspace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.NewformSubspace",
    "HeckeRing.GL2.NewformOrbit.newformSubspace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.NewformSubspace",
    "HeckeRing.GL2.NewformOrbit.iSupIndep_newformSubspace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.NewformSubspace",
    "HeckeRing.GL2.NewformOrbit.iSup_newformSubspace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.NewformSubspace",
    "HeckeRing.GL2.Newform.heckeTCuspNat_mem_newformSubspace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.NewformSubspace"
  },
  "cmf.newspace": {
    "TauCeti.cuspFormsNew": "TauCeti.NumberTheory.ModularForms.Newforms.Basic",
    "TauCeti.cuspFormsOld": "TauCeti.NumberTheory.ModularForms.Newforms.Basic",
    "cuspFormCharSpace": "TauCeti.NumberTheory.ModularForms.DiamondOperators"
  },
  "cmf.nontrivial_twist": {
    "HeckeRing.GL2.Newform.nontrivialInnerTwists": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist",
    "HeckeRing.GL2.Newform.ncard_nontrivialInnerTwists": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.InnerTwist"
  },
  "cmf.oldspace": {
    "TauCeti.CuspForm.levelRaise": "TauCeti.NumberTheory.ModularForms.Degeneracy",
    "TauCeti.cuspFormsOld": "TauCeti.NumberTheory.ModularForms.Newforms.Basic",
    "TauCeti.cuspFormsOldMultiples": "TauCeti.NumberTheory.ModularForms.Newforms.Basic"
  },
  "cmf.petersson_scalar_product": {
    "ModularForm.peterssonScalarProduct": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Petersson",
    "ModularForm.peterssonScalarProduct_eq_integral": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Petersson",
    "ModularForm.integrableOn_of_isCuspForm": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Petersson",
    "ModularForm.peterssonScalarProduct_coe_coe": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Petersson",
    "UpperHalfPlane.petersson": "Mathlib.NumberTheory.ModularForms.Petersson"
  },
  "cmf.plus_space": {
    "TauCeti.Nat.IsExactDivisor.normalizedAtkinLehnerOperatorCusp": "TauCeti.NumberTheory.ModularForms.AtkinLehner.Normalized"
  },
  "cmf.projective_field": {
    "HeckeRing.GL2.Newform.GaloisRep.projectiveField": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation",
    "HeckeRing.GL2.Newform.GaloisRep.finrank_projectiveField": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation",
    "HeckeRing.GL2.Newform.GaloisRep.projectiveField_le_artinField": "LeanBridge.ForMathlib.NumberTheory.ModularForms.SatoTate.GaloisRepresentation"
  },
  "cmf.q-expansion": {
    "UpperHalfPlane.qExpansion": "Mathlib.NumberTheory.ModularForms.QExpansion",
    "CuspFormClass.qExpansion_coeff_zero": "Mathlib.NumberTheory.ModularForms.QExpansion",
    "HeckeRing.GL2.Newform.orbitQExpansion": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Embedding",
    "HeckeRing.GL2.Newform.map_orbitQExpansion": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Embedding",
    "HeckeRing.GL2.Newform.IsGaloisConjugateBy.map_orbitQExpansion": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.Embedding"
  },
  "cmf.relative_dimension": {
    "TauCeti.CharacterField": "TauCeti.NumberTheory.ModularForms.Newforms.Fields",
    "TauCeti.CoefficientField": "TauCeti.NumberTheory.ModularForms.Newforms.Fields"
  },
  "cmf.rm_form": {
    "HeckeRing.GL2.Newform.HasRM": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.HasRMBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "Int.IsFundamentalDiscr.kroneckerChar": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.HasRM.exists_hasSelfTwist": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.IsGaloisConjugate.hasRMBy_iff": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist"
  },
  "cmf.satake_angles": {
    "HeckeRing.GL2.Newform.satakeAngles": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.normalizedSatakeParameters_eq_map_exp_satakeAngles": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.satakeAngles_eq_map_arg_satakeParameters": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.satakeAngles_eq_pair_satakeAngle": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake"
  },
  "cmf.satake_parameters": {
    "HeckeRing.GL2.Newform.normalizedSatakeParameters": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.prod_map_one_sub_mul_normalizedSatakeParameters": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.normalizedSatakeParameters_eq_map_div": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.normalizedSatakeParameters_eq_pair_inv_mul": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.Satake",
    "HeckeRing.GL2.Newform.satakeParameters": "TauCeti.NumberTheory.ModularForms.Newforms.Satake"
  },
  "cmf.self_twist": {
    "HeckeRing.GL2.Newform.HasSelfTwist": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.IsTwistAtAlmostAllPrimes": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Basic",
    "Int.IsFundamentalDiscr.kroneckerChar": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.HasCMBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist",
    "HeckeRing.GL2.Newform.HasRMBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.SelfTwist"
  },
  "cmf.selfdual": {
    "CuspForm.conj": "TauCeti.NumberTheory.ModularForms.Conjugate",
    "HeckeRing.GL2.Newform.IsSelfDual": "TauCeti.NumberTheory.ModularForms.Newforms.SelfDual"
  },
  "cmf.space": {
    "cuspFormCharSpace": "TauCeti.NumberTheory.ModularForms.DiamondOperators",
    "modFormCharSpace": "TauCeti.NumberTheory.ModularForms.DiamondOperators"
  },
  "cmf.space_trace_form": {
    "HeckeRing.GL2.Newform": "TauCeti.NumberTheory.ModularForms.Newforms.Newform",
    "HeckeRing.GL2.Newform.basis": "TauCeti.NumberTheory.ModularForms.Newforms.OrthogonalBasis"
  },
  "cmf.sturm_bound": {
    "ModularForm.sturmBound": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.SturmBound",
    "ModularForm.eq_of_sturmBound": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.SturmBound",
    "ModularForm.eq_zero_of_sturmBound_lt_order": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.SturmBound",
    "HeckeRing.GL2.Newform.eq_of_sturmBound": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Analytic.SturmBound"
  },
  "cmf.sturm_bound_gamma1": {
    "TauCeti.ModularForm.sturm_bound_finiteIndex_SL2Z": "TauCeti.NumberTheory.ModularForms.SturmBound",
    "TauCeti.ModularForm.eq_of_sturm_bound": "TauCeti.NumberTheory.ModularForms.SturmBound"
  },
  "cmf.trace_form": {
    "HeckeRing.GL2.Newform.traceForm": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.TraceForm",
    "HeckeRing.GL2.Newform.newspaceTraceForm": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.TraceForm",
    "HeckeRing.GL2.Newform.qExpansion_coeff_one_traceForm": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.TraceForm",
    "HeckeRing.GL2.Newform.qExpansion_coeff_traceForm_eq_trace": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.TraceForm",
    "HeckeRing.GL2.Newform.exists_int_qExpansion_coeff_traceForm": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Newform.TraceForm"
  },
  "cmf.twist": {
    "HeckeRing.GL2.Newform.IsTwistBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Basic",
    "HeckeRing.GL2.Newform.IsTwistEquivalent": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Basic",
    "HeckeRing.GL2.Newform.twistClass": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Basic",
    "HeckeRing.GL2.Newform.IsOrbitTwistBy": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Multiplicity",
    "HeckeRing.GL2.NewformOrbit.twistClass": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Multiplicity"
  },
  "cmf.twist_minimal": {
    "HeckeRing.GL2.Newform.IsTwistMinimal": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Minimal",
    "HeckeRing.GL2.Newform.exists_isTwistMinimal": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Minimal",
    "HeckeRing.GL2.Newform.IsTwistMinimal.eq_of_isTwistEquivalent": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Minimal",
    "HeckeRing.GL2.Newform.twistClass": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Basic"
  },
  "cmf.twist_multiplicity": {
    "HeckeRing.GL2.Newform.twistMultiplicity": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Multiplicity",
    "HeckeRing.GL2.Newform.IsGaloisConjugateBy.twistMultiplicity_eq": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Multiplicity",
    "HeckeRing.GL2.Newform.IsGaloisConjugate.twistMultiplicity_eq": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Multiplicity",
    "HeckeRing.GL2.Newform.twistMultiplicity_self_le_innerTwistMultiplicity": "LeanBridge.ForMathlib.NumberTheory.ModularForms.Twist.Multiplicity",
    "MulChar.galoisOrbit": "TauCeti.NumberTheory.MulChar.GaloisOrbit"
  },
  "curve.highergenus.aut.full": {
    "TauCeti.Diff": "TauCeti.Geometry.Diffeomorphism.Group"
  },
  "curve.highergenus.aut.group_action": {
    "TauCeti.Diff": "TauCeti.Geometry.Diffeomorphism.Group"
  },
  "curve.highergenus.aut.quotientgenus": {
    "TauCeti.genus": "TauCeti.FieldTheory.FunctionField.RiemannRoch.Genus"
  },
  "ec.analytic_sha_order": {
    "WeierstrassCurve.analyticShaOrder": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.BirchSwinnertonDyer.analyticShaOrder_eq": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.sha": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Sha",
    "WeierstrassCurve.mem_sha_iff": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Sha",
    "WeierstrassCurve.shafarevichTateGroup": "TauCeti.AlgebraicGeometry.EllipticCurve.GaloisCohomology.Selmer"
  },
  "ec.bad_reduction": {
    "WeierstrassCurve.IsBadReduction": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Reduction"
  },
  "ec.bsdconjecture": {
    "WeierstrassCurve.BirchSwinnertonDyer": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.WeakBirchSwinnertonDyer": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.birchSwinnertonDyer_iff": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.globalPeriod": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.GlobalPeriod",
    "WeierstrassCurve.Affine.regulator": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.Regulator.Basic"
  },
  "ec.canonical_height": {
    "WeierstrassCurve.Affine.Point.canonicalHeight": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic",
    "WeierstrassCurve.Affine.neronTatePairing": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic"
  },
  "ec.complex_multiplication": {
    "WeierstrassCurve.HasCM": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.ComplexMultiplication.Basic",
    "WeierstrassCurve.HasGeometricCM": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.ComplexMultiplication",
    "WeierstrassCurve.cmDiscriminant": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.ComplexMultiplication.Basic",
    "WeierstrassCurve.geometricCMDiscriminant": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.ComplexMultiplication.Basic",
    "WeierstrassCurve.hasGeometricCM_iff_of_j_eq": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.ComplexMultiplication.Basic"
  },
  "ec.conductor": {
    "WeierstrassCurve.algorithmicConductor": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Conductor",
    "WeierstrassCurve.algorithmicOggExponent": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Curve"
  },
  "ec.endomorphism": {
    "TauCeti.Isogeny": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Basic",
    "TauCeti.Isogeny.Hom": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.Basic"
  },
  "ec.endomorphism_ring": {
    "TauCeti.Isogeny.Hom": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.Basic",
    "TauCeti.Isogeny.mulByIntIsogeny": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.MulByInt.MapsInfinity"
  },
  "ec.galois_rep": {
    "WeierstrassCurve.torsionGaloisAction": "TauCeti.AlgebraicGeometry.EllipticCurve.Affine.Point.Galois",
    "WeierstrassCurve.modGaloisRepresentationGL": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Basic",
    "WeierstrassCurve.tateModuleGaloisRepresentation": "TauCeti.AlgebraicGeometry.EllipticCurve.TateModule.Galois",
    "WeierstrassCurve.tateModuleGaloisRepresentationGL": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Basic",
    "WeierstrassCurve.adelicGaloisRepresentationGL": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Basic"
  },
  "ec.geom_endomorphism_ring": {
    "WeierstrassCurve.GeometricEnd": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.ComplexMultiplication"
  },
  "ec.global_minimal_model": {
    "WeierstrassCurve.IsGlobalMinimal": "TauCeti.AlgebraicGeometry.EllipticCurve.GlobalMinimalModel"
  },
  "ec.good_ordinary_reduction": {
    "WeierstrassCurve.HasGoodOrdinaryReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.OrdinaryReduction",
    "WeierstrassCurve.IsOrdinary": "TauCeti.AlgebraicGeometry.EllipticCurve.Supersingular"
  },
  "ec.good_supersingular_reduction": {
    "WeierstrassCurve.HasGoodSupersingularReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.OrdinaryReduction",
    "WeierstrassCurve.IsSupersingular": "TauCeti.AlgebraicGeometry.EllipticCurve.Supersingular"
  },
  "ec.invariants": {
    "WeierstrassCurve.algorithmicConductor": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Conductor",
    "WeierstrassCurve.minimalDiscriminantIdeal": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.DiscriminantIdeal"
  },
  "ec.isogeny": {
    "TauCeti.Isogeny": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Basic",
    "WeierstrassCurve.IsIsogenous": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Basic",
    "TauCeti.Isogeny.degree": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Degree",
    "TauCeti.Isogeny.IsCyclic": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Basic",
    "WeierstrassCurve.isogenySetoid": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Basic"
  },
  "ec.isogeny_class": {
    "WeierstrassCurve.isogenyClass": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Class",
    "WeierstrassCurve.IsomorphismClass": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Class",
    "WeierstrassCurve.IsIsogenous": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Basic"
  },
  "ec.isogeny_class_degree": {
    "WeierstrassCurve.isogenyClassDegree": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.ClassDegree",
    "WeierstrassCurve.isogenyClassCyclicDegrees": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.ClassDegree",
    "WeierstrassCurve.IsomorphismClass.cyclicIsogenyDegrees": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.ClassDegree",
    "TauCeti.Isogeny.IsCyclic": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Basic"
  },
  "ec.isogeny_graph": {
    "WeierstrassCurve.IsogenyGraph": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Graph",
    "WeierstrassCurve.IsomorphismClass.HasIsogenyOfDegree": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Graph"
  },
  "ec.isogeny_matrix": {
    "WeierstrassCurve.isogenyMatrix": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Matrix",
    "WeierstrassCurve.isSymm_isogenyMatrix": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Matrix",
    "WeierstrassCurve.IsomorphismClass.cyclicIsogenyDegrees": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.ClassDegree",
    "TauCeti.Isogeny.IsCyclic.dual": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.CyclicDual"
  },
  "ec.kodaira_symbol": {
    "TauCeti.ReductionSymbol": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Symbol",
    "WeierstrassCurve.reductionSymbol": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Curve"
  },
  "ec.local_minimal_discriminant": {
    "WeierstrassCurve.localMinimalDiscriminant": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.LocalDiscriminant",
    "WeierstrassCurve.localMinimalDiscriminantValuation": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Valuation"
  },
  "ec.maximal_elladic_galois_rep": {
    "WeierstrassCurve.IsMaximalTateModuleGaloisRepresentation": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Maximal",
    "WeierstrassCurve.tateModuleGeometricEndCentralizer": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Maximal",
    "WeierstrassCurve.tateModuleGaloisRepresentation": "TauCeti.AlgebraicGeometry.EllipticCurve.TateModule.Galois",
    "WeierstrassCurve.GeometricEnd": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.ComplexMultiplication"
  },
  "ec.maximal_galois_rep": {
    "WeierstrassCurve.IsMaximalModGaloisRepresentation": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Maximal",
    "WeierstrassCurve.torsionGeometricEndCentralizer": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Maximal",
    "WeierstrassCurve.isMaximalModGaloisRepresentation_iff_of_not_hasGeometricCM": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.GaloisRep.Maximal",
    "WeierstrassCurve.GeometricEnd": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.ComplexMultiplication",
    "TauCeti.Isogeny.Hom.torsionRepresentation": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.Torsion"
  },
  "ec.minimal_discriminant": {
    "WeierstrassCurve.minimalDiscriminantIdeal": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.DiscriminantIdeal"
  },
  "ec.mordell_weil_theorem": {
    "WeierstrassCurve.Affine.fg_point_of_numberField": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.FinitelyGenerated"
  },
  "ec.mw_generators": {
    "WeierstrassCurve.Affine.IsMordellWeilGenerators": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.MordellWeilGenerators",
    "WeierstrassCurve.Affine.IsTorsionBasis": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.MordellWeilGenerators",
    "WeierstrassCurve.Affine.exists_isMordellWeilGenerators": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.MordellWeilGenerators",
    "WeierstrassCurve.Affine.PointModTorsion": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.PointModTorsion.Basic",
    "WeierstrassCurve.Affine.fg_point_of_numberField": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.FinitelyGenerated"
  },
  "ec.nonsplit_multiplicative_reduction": {
    "WeierstrassCurve.IsNonsplitMultiplicativeReduction": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Reduction"
  },
  "ec.obstruction_class": {
    "WeierstrassCurve.globalMinimalityClass": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Class",
    "WeierstrassCurve.weierstrassDefectClass": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Class"
  },
  "ec.padic_tate_module": {
    "TauCeti.TateModule": "TauCeti.Algebra.Module.Torsion.TateModule",
    "WeierstrassCurve.tateModuleGaloisRepresentation": "TauCeti.AlgebraicGeometry.EllipticCurve.TateModule.Galois"
  },
  "ec.period": {
    "WeierstrassCurve.globalPeriod": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.GlobalPeriod",
    "WeierstrassCurve.localPeriod": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.GlobalPeriod",
    "WeierstrassCurve.complexPeriod": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.ComplexPeriod",
    "WeierstrassCurve.realPeriod": "TauCeti.AlgebraicGeometry.EllipticCurve.RealPeriod",
    "WeierstrassCurve.minimalDiscriminantIdeal": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.DiscriminantIdeal"
  },
  "ec.potential_good_reduction": {
    "WeierstrassCurve.HasPotentialGoodReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.PotentialGoodReduction"
  },
  "ec.q.abc_quality": {
    "WeierstrassCurve.abcQuality": "TauCeti.AlgebraicGeometry.EllipticCurve.AbcQuality"
  },
  "ec.q.analytic_rank": {
    "WeierstrassCurve.analyticRank": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.IsAnalyticLFunction": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.analyticRank_eq": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.analyticRank_eq_analyticOrderNatAt": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.LFunction": "Mathlib.AlgebraicGeometry.EllipticCurve.LFunction"
  },
  "ec.q.analytic_sha_order": {
    "WeierstrassCurve.analyticShaOrder": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.analyticShaOrder_eq_of_isGlobalMinimal": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.BirchSwinnertonDyer.analyticShaOrder_eq": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.sha": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Sha",
    "WeierstrassCurve.specialValue": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction"
  },
  "ec.q.bsdconjecture": {
    "WeierstrassCurve.BirchSwinnertonDyer": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.birchSwinnertonDyer_iff_of_isGlobalMinimal": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.globalPeriod_eq_realPeriod_of_isGlobalMinimal": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.Conjecture",
    "WeierstrassCurve.tamagawaProduct": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.Tamagawa",
    "WeierstrassCurve.Affine.regulator": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.Regulator.Basic"
  },
  "ec.q.canonical_height": {
    "WeierstrassCurve.Affine.Point.canonicalHeight": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic",
    "WeierstrassCurve.Affine.canonicalHeightQuadratic": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic",
    "WeierstrassCurve.Affine.neronTatePairing": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic"
  },
  "ec.q.conductor": {
    "WeierstrassCurve.algorithmicConductor": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Conductor",
    "WeierstrassCurve.algorithmicOggExponent": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Curve"
  },
  "ec.q.discriminant": {
    "WeierstrassCurve.minimalDiscriminantIdeal": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.DiscriminantIdeal",
    "WeierstrassCurve.reducedMinimalModel": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Reduced"
  },
  "ec.q.endomorphism_ring": {
    "TauCeti.Isogeny.Hom": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.Basic",
    "WeierstrassCurve.GeometricEnd": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.ComplexMultiplication",
    "WeierstrassCurve.HasGeometricCM": "TauCeti.AlgebraicGeometry.EllipticCurve.Isogeny.Hom.ComplexMultiplication"
  },
  "ec.q.faltings_height": {
    "WeierstrassCurve.faltingsHeight": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.FaltingsHeight",
    "WeierstrassCurve.stableFaltingsHeight": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.FaltingsHeight",
    "WeierstrassCurve.periodCovolume": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.ComplexPeriod",
    "WeierstrassCurve.reducedMinimalModel": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Reduced"
  },
  "ec.q.frey": {
    "TauCeti.freyCurve": "TauCeti.AlgebraicGeometry.EllipticCurve.FreyCurve.Basic"
  },
  "ec.q.integral_points": {
    "WeierstrassCurve.integralPoints": "TauCeti.AlgebraicGeometry.EllipticCurve.Affine.Point.Integral"
  },
  "ec.q.kodaira_symbol": {
    "TauCeti.ReductionSymbol": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Symbol",
    "WeierstrassCurve.reductionSymbol": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Curve"
  },
  "ec.q.lmfdb_label": {
    "WeierstrassCurve.lmfdbLabel": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Label.LMFDB",
    "WeierstrassCurve.lmfdbIsogenyClassIndex": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Label.LMFDB",
    "WeierstrassCurve.isogenyClassLetters": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Label.LMFDB",
    "WeierstrassCurve.lmfdbIsomorphismClassIndex": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Label.LMFDB",
    "WeierstrassCurve.reducedMinimalModel": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Reduced"
  },
  "ec.q.minimal_twist": {
    "WeierstrassCurve.IsMinimalTwist": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.MinimalTwist",
    "WeierstrassCurve.IsMinimalQuadraticTwist": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.MinimalTwist",
    "WeierstrassCurve.IsQuadraticTwist": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.MinimalTwist",
    "WeierstrassCurve.minimalTwistKey": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.MinimalTwist",
    "WeierstrassCurve.LFunction": "Mathlib.AlgebraicGeometry.EllipticCurve.LFunction"
  },
  "ec.q.minimal_weierstrass_equation": {
    "WeierstrassCurve.IsGlobalMinimal": "TauCeti.AlgebraicGeometry.EllipticCurve.GlobalMinimalModel",
    "WeierstrassCurve.IsReducedMinimal": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Reduced",
    "WeierstrassCurve.reducedMinimalModel": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Reduced"
  },
  "ec.q.naive_height": {
    "WeierstrassCurve.minimalPairModel": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalPairModel",
    "WeierstrassCurve.naiveHeight": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalPairModel",
    "WeierstrassCurve.shortEquationHeight": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalPairModel"
  },
  "ec.q.real_period": {
    "WeierstrassCurve.realPeriod": "TauCeti.AlgebraicGeometry.EllipticCurve.RealPeriod",
    "WeierstrassCurve.realPeriodLIntegral": "TauCeti.AlgebraicGeometry.EllipticCurve.RealPeriod",
    "WeierstrassCurve.reducedMinimalModel": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Reduced"
  },
  "ec.q.reduction_type": {
    "WeierstrassCurve.HasGoodOrdinaryReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.OrdinaryReduction",
    "WeierstrassCurve.IsNonsplitMultiplicativeReduction": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Reduction",
    "WeierstrassCurve.ReductionType": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Reduction"
  },
  "ec.q.regulator": {
    "WeierstrassCurve.Affine.neronTatePairing": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic",
    "WeierstrassCurve.Affine.neronTatePairingModTorsion": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.PointModTorsion.Basic",
    "WeierstrassCurve.Affine.regulator": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.Regulator.Basic"
  },
  "ec.q.semistable": {
    "WeierstrassCurve.IsSemistable": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Semistable"
  },
  "ec.q.special_value": {
    "WeierstrassCurve.specialValue": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.specialValue_eq_iteratedDeriv": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.iteratedDeriv_eq_zero_of_lt_analyticRank": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.specialValue_eq": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction"
  },
  "ec.q.szpiro_ratio": {
    "WeierstrassCurve.algorithmicModifiedSzpiroRatio": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.SzpiroRatio",
    "WeierstrassCurve.algorithmicSzpiroRatio": "TauCeti.AlgebraicGeometry.EllipticCurve.Szpiro",
    "TauCeti.AlgorithmicModifiedSzpiroConjecture": "TauCeti.AlgebraicGeometry.EllipticCurve.Szpiro",
    "WeierstrassCurve.algorithmicConductor": "TauCeti.AlgebraicGeometry.EllipticCurve.TateAlgorithm.Reduction.Conductor"
  },
  "ec.q.torsion_growth": {
    "WeierstrassCurve.HasTorsionGrowth": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.TorsionGrowth",
    "WeierstrassCurve.HasPrimitiveTorsionGrowth": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.TorsionGrowth",
    "AddCommGroup.torsion": "Mathlib.GroupTheory.Torsion",
    "WeierstrassCurve.Affine.Point.baseChange": "Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point"
  },
  "ec.q_curve": {
    "WeierstrassCurve.IsQCurve": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.QCurve",
    "WeierstrassCurve.isQCurve_baseChange": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.QCurve",
    "WeierstrassCurve.isQCurve_of_j_eq_ratCast": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.QCurve",
    "WeierstrassCurve.IsIsogenous": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Isogeny.Basic"
  },
  "ec.reduction": {
    "WeierstrassCurve.HasPotentialGoodReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.PotentialGoodReduction",
    "WeierstrassCurve.IsSemistable": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Semistable"
  },
  "ec.reduction_type": {
    "WeierstrassCurve.HasGoodOrdinaryReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.OrdinaryReduction",
    "WeierstrassCurve.IsNonsplitMultiplicativeReduction": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Reduction",
    "WeierstrassCurve.ReductionType": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Reduction"
  },
  "ec.regulator": {
    "WeierstrassCurve.Affine.normalizedRegulator": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.Regulator",
    "WeierstrassCurve.Affine.regulator": "TauCeti.AlgebraicGeometry.EllipticCurve.MordellWeil.Regulator.Basic",
    "WeierstrassCurve.Affine.neronTatePairing": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic",
    "WeierstrassCurve.Affine.Point.canonicalHeight": "TauCeti.AlgebraicGeometry.EllipticCurve.CanonicalHeight.Basic"
  },
  "ec.ring": {
    "TauCeti.AlgebraicGeometry.EllipticCurveGeom": "TauCeti.AlgebraicGeometry.EllipticCurve.Scheme.Geom.Basic",
    "WeierstrassCurve.toEllipticCurveGeom": "TauCeti.AlgebraicGeometry.EllipticCurve.Scheme.OfWeierstrass"
  },
  "ec.scheme": {
    "TauCeti.AlgebraicGeometry.EllipticCurveGeom": "TauCeti.AlgebraicGeometry.EllipticCurve.Scheme.Geom.Basic",
    "TauCeti.AlgebraicGeometry.IsLocallyWeierstrass": "TauCeti.AlgebraicGeometry.EllipticCurve.Scheme.Geom.Basic"
  },
  "ec.semi_global_minimal_model": {
    "WeierstrassCurve.IsSemiGlobalMinimal": "TauCeti.AlgebraicGeometry.EllipticCurve.GlobalMinimalModel",
    "WeierstrassCurve.IsSharpSemiGlobalMinimalAt": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.ObstructionExponent"
  },
  "ec.semistable": {
    "WeierstrassCurve.IsSemistable": "TauCeti.AlgebraicGeometry.EllipticCurve.MinimalModel.Semistable"
  },
  "ec.special_value": {
    "WeierstrassCurve.specialValue": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.specialValue_eq": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.specialValue_eq_iteratedDeriv": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.iteratedDeriv_eq_zero_of_lt_analyticRank": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction",
    "WeierstrassCurve.specialValue_ne_zero": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.BSD.LFunction"
  },
  "ec.tamagawa_number": {
    "WeierstrassCurve.tamagawaNumber": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.Tamagawa",
    "WeierstrassCurve.tamagawaProduct": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Arithmetic.Tamagawa",
    "WeierstrassCurve.Affine.nonsingularReduction": "TauCeti.AlgebraicGeometry.EllipticCurve.Affine.Point.NonsingularReduction",
    "WeierstrassCurve.minimal": "Mathlib.AlgebraicGeometry.EllipticCurve.Reduction"
  },
  "ec.torsion_order": {
    "AddCommGroup.torsion": "Mathlib.GroupTheory.Torsion",
    "Nat.card": "Mathlib.SetTheory.Cardinal.Finite",
    "WeierstrassCurve.Affine.finite_torsion": "Mathlib.NumberTheory.Height.EllipticCurve",
    "WeierstrassCurve.Affine.Point": "Mathlib.AlgebraicGeometry.EllipticCurve.Affine.Point"
  },
  "ec.twists": {
    "WeierstrassCurve.IsTwist": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.Basic",
    "WeierstrassCurve.quadraticTwist": "TauCeti.AlgebraicGeometry.EllipticCurve.QuadraticTwist.Basic",
    "WeierstrassCurve.quarticTwist": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.QuarticSextic",
    "WeierstrassCurve.sexticTwist": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.Twist.QuarticSextic",
    "WeierstrassCurve.VariableChange.twistCohomologyClass": "TauCeti.AlgebraicGeometry.EllipticCurve.Twist.Cocycle"
  },
  "g2c.aut_grp": {
    "HyperellipticEquation.hyperellipticInvolution": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Automorphism",
    "HyperellipticEquation.orderOf_hyperellipticInvolution": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Automorphism",
    "GenusTwoCurve.nontrivial_algEquiv": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Curve",
    "GenusTwoCurve.orderOf_hyperellipticInvolution": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Curve",
    "CategoryTheory.Aut": "Mathlib.CategoryTheory.Endomorphism"
  },
  "g2c.decomposition": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsIsogeny": "TauCeti.AlgebraicGeometry.AbelianVariety.Isogeny",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.dim": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.prod": "TauCeti.AlgebraicGeometry.AbelianVariety.Product"
  },
  "g2c.end_alg": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.dim": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "g2c.g2curve": {
    "GenusTwoCurve": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Curve",
    "HyperellipticEquation": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Equation",
    "HyperellipticEquation.FunctionField": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.FunctionField",
    "GenusTwoCurve.genus_functionField": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Curve",
    "GenusTwoCurve.isHyperellipticFunctionField": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Curve"
  },
  "g2c.geom_end_alg": {
    "TauCeti.AlgebraicGeometry.AbelianVariety.End": "TauCeti.AlgebraicGeometry.AbelianVariety.End.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.End.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.End.BaseChange",
    "TauCeti.AlgebraicGeometry.AbelianVariety.baseChange": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic"
  },
  "g2c.good_reduction": {
    "TauCeti.Model": "TauCeti.AlgebraicGeometry.Curves.StableReduction.Model.Basic"
  },
  "g2c.isogeny_class": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.AlgebraicGeometry.AbelianVariety.IsIsogeny": "TauCeti.AlgebraicGeometry.AbelianVariety.Isogeny"
  },
  "g2c.minimal_equation": {
    "HyperellipticEquation.IsMinimal": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.MinimalEquation",
    "HyperellipticEquation": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Equation",
    "HyperellipticEquation.discriminant": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Equation",
    "HyperellipticEquation.weightedEquation": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Equation",
    "HyperellipticEquation.simplifiedPolynomial": "LeanBridge.ForMathlib.AlgebraicGeometry.GenusTwo.Equation"
  },
  "g2c.num_rat_wpts": {
    "TauCeti.Place.weierstrassWeight": "TauCeti.FieldTheory.FunctionField.Consequences.WeierstrassGaps",
    "TauCeti.branchPlaces": "TauCeti.FieldTheory.FunctionField.Hyperelliptic.BranchPlaces"
  },
  "g2c.torsion": {
    "TauCeti.AlgebraicGeometry.AbelianVariety": "TauCeti.AlgebraicGeometry.AbelianVariety.Basic",
    "TauCeti.GroupScheme.torsion": "TauCeti.AlgebraicGeometry.GroupScheme.Torsion"
  },
  "gg.galois_group": {
    "Polynomial.Gal": "Mathlib.FieldTheory.PolynomialGaloisGroup",
    "Polynomial.Gal.galActionHom": "Mathlib.FieldTheory.PolynomialGaloisGroup",
    "Polynomial.Gal.galActionHom_injective": "Mathlib.FieldTheory.PolynomialGaloisGroup",
    "Polynomial.Gal.galAction_isPretransitive": "Mathlib.FieldTheory.PolynomialGaloisGroup"
  },
  "gl2.borel": {
    "Matrix.GeneralLinearGroup.IsBorelSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Borel",
    "TauCeti.GL2Borel": "TauCeti.LinearAlgebra.Matrix.GeneralLinearGroup.Borel",
    "Matrix.GeneralLinearGroup.labelBAB": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Borel",
    "Matrix.GeneralLinearGroup.isBorelSubgroup_iff_exists_lineStabilizer": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Borel",
    "ZMod.leastPrimitiveRoot": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.LeastPrimitiveRoot"
  },
  "gl2.cartan": {
    "Matrix.GeneralLinearGroup.cartanSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan",
    "Matrix.GeneralLinearGroup.canonicalInvolution": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan",
    "Matrix.GeneralLinearGroup.extendedCartanSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan",
    "Matrix.GeneralLinearGroup.IsCartanSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan",
    "Matrix.GeneralLinearGroup.IsExtendedCartanSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan"
  },
  "gl2.exceptional": {
    "Matrix.GeneralLinearGroup.IsExceptionalSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Exceptional",
    "Matrix.GeneralLinearGroup.projectiveImage": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Exceptional",
    "Matrix.GeneralLinearGroup.ExceptionalType": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Exceptional",
    "Matrix.GeneralLinearGroup.HasExceptionalType": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Exceptional",
    "Matrix.ProjGenLinGroup": "Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Projective"
  },
  "gl2.index": {
    "Subgroup.index": "Mathlib.GroupTheory.Index",
    "Subgroup.quotient_finite_of_isOpen": "Mathlib.Topology.Algebra.OpenSubgroup",
    "Subgroup.index_ne_zero_of_finite": "Mathlib.GroupTheory.Index"
  },
  "gl2.level": {
    "Matrix.GeneralLinearGroup.adelicLevel": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Level",
    "Matrix.GeneralLinearGroup.adelicReduction": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Level",
    "Matrix.GeneralLinearGroup.adelicLevel_pos": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Level",
    "Matrix.GeneralLinearGroup.padicLevel": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Level",
    "Matrix.GeneralLinearGroup.exists_padicLevel_eq_pow_of_isOpen": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Level"
  },
  "gl2.nonsplit_cartan": {
    "Matrix.GeneralLinearGroup.IsNonsplitCartanSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan",
    "Matrix.GeneralLinearGroup.labelCn": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan",
    "Matrix.GeneralLinearGroup.mem_labelCn_iff": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan",
    "Matrix.GeneralLinearGroup.labelCn_two_eq_of_index_eq_two": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan",
    "Matrix.GeneralLinearGroup.labelCnAB": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan"
  },
  "gl2.normalizer_cartan": {
    "Matrix.GeneralLinearGroup.IsCartanNormalizer": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.CartanNormalizer",
    "Subgroup.normalizer": "Mathlib.Algebra.Group.Subgroup.Defs",
    "Matrix.GeneralLinearGroup.extendedCartanSubgroup_le_normalizer": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan"
  },
  "gl2.normalizer_nonsplit_cartan": {
    "Matrix.GeneralLinearGroup.IsNonsplitCartanNormalizer": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.CartanNormalizer",
    "Matrix.GeneralLinearGroup.labelNn": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan",
    "Matrix.GeneralLinearGroup.labelNn_eq_sup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan",
    "Matrix.GeneralLinearGroup.labelNn_two": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan",
    "Matrix.GeneralLinearGroup.labelNnAB": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.NonsplitCartan"
  },
  "gl2.normalizer_split_cartan": {
    "Matrix.GeneralLinearGroup.IsSplitCartanNormalizer": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.CartanNormalizer",
    "Matrix.GeneralLinearGroup.labelNs": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan",
    "Matrix.GeneralLinearGroup.isSplitCartanNormalizer_labelNs": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan",
    "Matrix.GeneralLinearGroup.labelNsAB": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan",
    "Matrix.GeneralLinearGroup.labelNsABC": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan"
  },
  "gl2.split_cartan": {
    "Matrix.GeneralLinearGroup.IsSplitCartanSubgroup": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.Cartan",
    "TauCeti.diagonalTorus": "TauCeti.LinearAlgebra.Matrix.GeneralLinearGroup.Diagonal.Basic",
    "Matrix.GeneralLinearGroup.cartanSubgroup_piBasisFun": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan",
    "Matrix.GeneralLinearGroup.isSplitCartanSubgroup_diagonalTorus": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan",
    "Matrix.GeneralLinearGroup.labelCsAB": "LeanBridge.ForMathlib.LinearAlgebra.Matrix.GL2.SplitCartan"
  },
  "group.complex_character_table": {
    "TauCeti.characterTable": "TauCeti.RepresentationTheory.CharacterTable.Table",
    "TauCeti.irreducibleCharacters": "TauCeti.RepresentationTheory.CharacterTable.Table"
  },
  "group.coset": {
    "QuotientGroup.leftRel": "Mathlib.GroupTheory.Coset.Defs",
    "QuotientGroup.rightRel": "Mathlib.GroupTheory.Coset.Defs",
    "QuotientGroup.eq_class_eq_leftCoset": "Mathlib.GroupTheory.Coset.Basic",
    "QuotientGroup.rightRel_r_eq_rightCosetEquivalence": "Mathlib.GroupTheory.Coset.Basic"
  },
  "group.elementary": {
    "TauCeti.IsElementary": "TauCeti.GroupTheory.Elementary",
    "TauCeti.IsPElementary": "TauCeti.GroupTheory.Elementary"
  },
  "group.fuchsian": {
    "Subgroup.IsCofinite": "TauCeti.Analysis.Complex.Fuchsian.Covolume"
  },
  "group.fuchsian.cusps": {
    "CuspOrbits": "Mathlib.NumberTheory.ModularForms.Cusps",
    "IsCusp": "Mathlib.NumberTheory.ModularForms.Cusps",
    "Subgroup.IsArithmetic.isCusp_iff_isCusp_SL2Z": "Mathlib.NumberTheory.ModularForms.Cusps",
    "isCusp_SL2Z_iff": "Mathlib.NumberTheory.ModularForms.Cusps"
  },
  "group.fuchsian.cusps.width": {
    "TauCeti.ModularForm.cuspTranslationOrbitWidth": "TauCeti.NumberTheory.ModularForms.Norm.Cusps",
    "TauCeti.Subgroup.integerCuspWidth": "TauCeti.NumberTheory.ModularForms.Cusps.Basic"
  },
  "group.fuchsian.fundamental_domain": {
    "ModularGroup.IsFundamentalDomain": "LeanBridge.ForMathlib.NumberTheory.ModularCurve.FundamentalDomain",
    "ModularGroup.isFundamentalDomain_fd": "LeanBridge.ForMathlib.NumberTheory.ModularCurve.FundamentalDomain",
    "ModularGroup.fd": "Mathlib.NumberTheory.Modular",
    "UpperHalfPlane.Completed": "LeanBridge.ForMathlib.Analysis.Complex.UpperHalfPlane.Completed"
  },
  "group.galois.absolute": {
    "Field.absoluteGaloisGroup": "Mathlib.FieldTheory.AbsoluteGaloisGroup"
  },
  "group.generators": {
    "Subgroup.closure": "Mathlib.Algebra.Group.Subgroup.Lattice",
    "Subgroup.closure_le": "Mathlib.Algebra.Group.Subgroup.Lattice",
    "Subgroup.mem_closure": "Mathlib.Algebra.Group.Subgroup.Lattice"
  },
  "group.haar_measure": {
    "MeasureTheory.Measure.IsHaarMeasure": "Mathlib.MeasureTheory.Group.Measure",
    "MeasureTheory.Measure.haarMeasure": "Mathlib.MeasureTheory.Measure.Haar.Basic",
    "MeasureTheory.Measure.haarMeasure_self": "Mathlib.MeasureTheory.Measure.Haar.Basic",
    "MeasureTheory.Measure.isHaarMeasure_eq_of_isProbabilityMeasure": "Mathlib.MeasureTheory.Measure.Haar.Unique"
  },
  "group.heisenberg": {
    "TauCeti.HeisenbergGroup": "TauCeti.GroupTheory.SpecificGroups.Heisenberg"
  },
  "group.homomorphism": {
    "MonoidHom": "Mathlib.Algebra.Group.Hom.Defs",
    "MonoidHom.mk'": "Mathlib.Algebra.Group.Hom.Defs"
  },
  "group.hyperelementary": {
    "TauCeti.IsHyperelementary": "TauCeti.GroupTheory.Elementary",
    "TauCeti.IsPHyperelementary": "TauCeti.GroupTheory.Elementary"
  },
  "group.isomorphism": {
    "MulEquiv": "Mathlib.Algebra.Group.Equiv.Defs",
    "MulEquiv.ofBijective": "Mathlib.Algebra.Group.Equiv.Defs"
  },
  "group.maximal_subgroup": {
    "IsCoatom": "Mathlib.Order.Atoms",
    "IsCoatom.le_iff": "Mathlib.Order.Atoms"
  },
  "group.normal_series": {
    "Subgroup.SubnormalSeries": "LeanBridge.ForMathlib.GroupTheory.SubnormalSeries",
    "Subgroup.NormalSeries": "LeanBridge.ForMathlib.GroupTheory.SubnormalSeries",
    "Subgroup.isSubnormal_iff_exists_subnormalSeries": "LeanBridge.ForMathlib.GroupTheory.SubnormalSeries",
    "Subgroup.SubnormalSeries.isSubnormal": "LeanBridge.ForMathlib.GroupTheory.SubnormalSeries",
    "Subgroup.IsSubnormal": "Mathlib.GroupTheory.IsSubnormal"
  },
  "group.order": {
    "Nat.card": "Mathlib.SetTheory.Cardinal.Finite",
    "Cardinal.mk": "Mathlib.SetTheory.Cardinal.Defs"
  },
  "group.presentation": {
    "PresentedGroup": "Mathlib.GroupTheory.PresentedGroup",
    "Subgroup.SubnormalSeries.IsPolycyclic": "LeanBridge.ForMathlib.GroupTheory.PolycyclicPresentation",
    "PolycyclicSequence": "LeanBridge.ForMathlib.GroupTheory.PolycyclicPresentation",
    "PolycyclicSequence.relOrder": "LeanBridge.ForMathlib.GroupTheory.PolycyclicPresentation",
    "PolycyclicPresentation.relators": "LeanBridge.ForMathlib.GroupTheory.PolycyclicPresentation"
  },
  "group.rank": {
    "Group.rank": "Mathlib.GroupTheory.Rank",
    "Group.rank_spec": "Mathlib.GroupTheory.Rank",
    "Group.rank_le": "Mathlib.GroupTheory.Rank"
  },
  "group.representation.type": {
    "Representation.IsQuaternionicStructure": "TauCeti.RepresentationTheory.QuaternionicStructure",
    "Representation.IsRealizableOverReal": "TauCeti.RepresentationTheory.RealForm",
    "TauCeti.Representation.frobeniusSchurIndicator": "TauCeti.RepresentationTheory.CharacterTable.FrobeniusSchur.Basic"
  },
  "group.sl2z": {
    "Matrix.SpecialLinearGroup": "Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup",
    "ModularGroup.S": "Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup",
    "ModularGroup.T": "Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup",
    "SpecialLinearGroup.SL2Z_generators": "Mathlib.LinearAlgebra.Matrix.FixedDetMatrices"
  },
  "group.spinor_norm": {
    "CliffordAlgebra.orthogonalSpinorNorm": "TauCeti.LinearAlgebra.CliffordAlgebra.Spin.SpinorNorm.Basic",
    "CliffordAlgebra.spinorNorm": "TauCeti.LinearAlgebra.CliffordAlgebra.Spin.SpinorNorm.Basic",
    "TauCeti.QuadraticMap.specialOrthogonalGroup": "TauCeti.LinearAlgebra.QuadraticForm.OrthogonalGroup.Basic"
  },
  "group.sporadic": {
    "TauCeti.ClassificationStatement": "TauCeti.GroupTheory.SpecificGroups.CFSG.Classification",
    "TauCeti.SporadicName": "TauCeti.GroupTheory.SpecificGroups.CFSG.Index",
    "TauCeti.SporadicName.Group": "TauCeti.GroupTheory.SpecificGroups.CFSG.Sporadic.Presentation",
    "TauCeti.SporadicName.presentation": "TauCeti.GroupTheory.SpecificGroups.CFSG.Sporadic.Presentation"
  },
  "group.subgroup.index": {
    "Subgroup.index": "Mathlib.GroupTheory.Index"
  },
  "group.subgroup.normal": {
    "Subgroup.Normal": "Mathlib.Algebra.Group.Subgroup.Defs",
    "Subgroup.normal_iff_map_conj_eq": "Mathlib.Algebra.Group.Subgroup.Basic",
    "normal_iff_eq_cosets": "Mathlib.GroupTheory.Coset.Basic",
    "QuotientGroup.Quotient.group": "Mathlib.GroupTheory.QuotientGroup.Defs"
  },
  "group.sylow_subgroup": {
    "Sylow": "Mathlib.GroupTheory.Sylow",
    "Sylow.card_eq_multiplicity": "Mathlib.GroupTheory.Sylow",
    "Sylow.ofCard": "Mathlib.GroupTheory.Sylow",
    "Sylow.nonempty": "Mathlib.GroupTheory.Sylow"
  },
  "group.torsion": {
    "IsMulTorsion": "Mathlib.GroupTheory.Torsion",
    "CommGroup.torsion": "Mathlib.GroupTheory.Torsion",
    "AddCommGroup.torsion": "Mathlib.GroupTheory.Torsion"
  },
  "group.triangle_group": {
    "TauCeti.TriangleGroup": "TauCeti.GroupTheory.TriangleGroup.Basic"
  },
  "hmsurface.arithmetic_genus": {
    "AlgebraicGeometry.Scheme.Modules.eulerCharBelow": "TauCeti.AlgebraicGeometry.Cohomology.EulerCharacteristic",
    "AlgebraicGeometry.Scheme.genus": "TauCeti.AlgebraicGeometry.Cohomology.Genus",
    "TauCeti.AlgebraicGeometry.Scheme.Modules.Cohomology": "TauCeti.AlgebraicGeometry.Cohomology.Basic"
  },
  "hmsurface.hodge_numbers": {
    "AlgebraicGeometry.Scheme.relativeDifferentials": "TauCeti.AlgebraicGeometry.Modules.Differentials.Basic",
    "SheafOfModules.exteriorPower": "TauCeti.Algebra.Category.ModuleCat.Sheaf.ExteriorPower.Basic",
    "TauCeti.AlgebraicGeometry.Scheme.Modules.Cohomology": "TauCeti.AlgebraicGeometry.Cohomology.Basic"
  },
  "lattice.automorphism_group": {
    "TauCeti.BilinForm.isometryGroup": "TauCeti.LinearAlgebra.BilinearForm.Isometry",
    "TauCeti.IntegralLattice.Isometry": "TauCeti.LinearAlgebra.IntegralLattice.Isometry.Basic",
    "TauCeti.IntegralLattice.specialOrthogonalGroup": "TauCeti.LinearAlgebra.IntegralLattice.Isometry.Group"
  },
  "lattice.definition": {
    "TauCeti.IntegralLattice": "TauCeti.LinearAlgebra.IntegralLattice.Basic"
  },
  "lattice.determinant": {
    "TauCeti.IntegralLattice.determinant": "TauCeti.LinearAlgebra.IntegralLattice.Gram",
    "TauCeti.IntegralLattice.gramDet": "TauCeti.LinearAlgebra.IntegralLattice.Gram"
  },
  "lattice.even_sublattice": {
    "TauCeti.IntegralLattice.evenSublattice": "TauCeti.LinearAlgebra.IntegralLattice.Characteristic.EvenSublattice",
    "TauCeti.IntegralLattice.evenSubmodule": "TauCeti.LinearAlgebra.IntegralLattice.Characteristic.EvenSublattice"
  },
  "lattice.genus": {
    "TauCeti.IntegralLattice.SameGenus": "TauCeti.NumberTheory.IntegralLattice.Genus",
    "TauCeti.IntegralLattice.localIntegralForm": "TauCeti.NumberTheory.IntegralLattice.Localization.Basic"
  },
  "lattice.gram": {
    "TauCeti.IntegralLattice.IsMinkowskiReduced": "TauCeti.LinearAlgebra.IntegralLattice.PosDef.Reduction",
    "TauCeti.IntegralLattice.gramMatrix": "TauCeti.LinearAlgebra.IntegralLattice.Gram"
  },
  "lattice.group_order": {
    "TauCeti.IntegralLattice.Isometry": "TauCeti.LinearAlgebra.IntegralLattice.Isometry.Basic"
  },
  "lattice.hermite_number": {
    "TauCeti.IntegralLattice.discriminant": "TauCeti.LinearAlgebra.IntegralLattice.Gram",
    "TauCeti.IntegralLattice.minimum": "TauCeti.LinearAlgebra.IntegralLattice.PosDef.Minimum"
  },
  "lattice.hyperbolic_plane": {
    "TauCeti.IntegralLattice.hyperbolicPlane": "TauCeti.LinearAlgebra.IntegralLattice.Examples"
  },
  "lattice.level": {
    "TauCeti.IntegralLattice.level": "TauCeti.LinearAlgebra.IntegralLattice.Level"
  },
  "lattice.minimal_vector": {
    "TauCeti.IntegralLattice.minimum": "TauCeti.LinearAlgebra.IntegralLattice.PosDef.Minimum",
    "TauCeti.IntegralLattice.vectorsOfNorm": "TauCeti.LinearAlgebra.IntegralLattice.Norm"
  },
  "lattice.minimum": {
    "TauCeti.IntegralLattice.minimum": "TauCeti.LinearAlgebra.IntegralLattice.PosDef.Minimum",
    "TauCeti.IntegralLattice.vectorsOfNorm": "TauCeti.LinearAlgebra.IntegralLattice.Norm"
  },
  "lattice.parity": {
    "TauCeti.IntegralLattice.IsEven": "TauCeti.LinearAlgebra.IntegralLattice.Even"
  },
  "lattice.primitive": {
    "LinearMap.BilinForm.scaleIdeal": "TauCeti.LinearAlgebra.BilinearForm.Ideals",
    "TauCeti.IntegralLattice.scaleIdeal": "TauCeti.LinearAlgebra.IntegralLattice.Ideals"
  },
  "lattice.unimodular": {
    "TauCeti.IntegralLattice.IsUnimodular": "TauCeti.LinearAlgebra.IntegralLattice.Unimodular"
  },
  "lf.automorphism_group": {
    "AlgEquiv": "Mathlib.Algebra.Algebra.Equiv",
    "AlgEquiv.aut": "Mathlib.Algebra.Algebra.Equiv",
    "IsGalois.card_aut_eq_finrank": "Mathlib.FieldTheory.Galois.Basic",
    "IsGalois.of_card_aut_eq_finrank": "Mathlib.FieldTheory.Galois.Basic"
  },
  "lf.discriminant_exponent": {
    "TauCeti.differentExponent": "TauCeti.NumberTheory.LocalField.Different.Basic",
    "TauCeti.discriminantExponent": "TauCeti.NumberTheory.LocalField.Discriminant.Basic",
    "TauCeti.discriminantIdeal": "TauCeti.NumberTheory.LocalField.Discriminant.Basic"
  },
  "lf.galois_mean_slope": {
    "TauCeti.FinitePadicExtension": "TauCeti.NumberTheory.LocalField.AbsoluteRamificationIndex",
    "TauCeti.discriminantExponent": "TauCeti.NumberTheory.LocalField.Discriminant.Basic"
  },
  "lf.inertia_group": {
    "ValuationSubring.inertiaSubgroup": "Mathlib.RingTheory.Valuation.RamificationGroup",
    "Ideal.inertia": "Mathlib.RingTheory.Ideal.Defs",
    "Ideal.Quotient.stabilizerHom": "Mathlib.RingTheory.Ideal.Over",
    "Ideal.Quotient.map_ker_stabilizer_subtype": "Mathlib.RingTheory.Ideal.Over"
  },
  "lf.padic_field": {
    "TauCeti.FinitePadicExtension": "TauCeti.NumberTheory.LocalField.AbsoluteRamificationIndex",
    "Padic": "Mathlib.NumberTheory.Padics.PadicNumbers",
    "FiniteDimensional": "Mathlib.LinearAlgebra.FiniteDimensional.Defs"
  },
  "lf.ramification_index": {
    "TauCeti.IsTamelyRamified": "TauCeti.NumberTheory.LocalField.RamificationIndex",
    "TauCeti.IsTotallyRamified": "TauCeti.NumberTheory.LocalField.RamificationIndex",
    "TauCeti.absoluteRamificationIndex": "TauCeti.NumberTheory.LocalField.AbsoluteRamificationIndex",
    "TauCeti.ramificationIndex": "TauCeti.NumberTheory.LocalField.RamificationIndex"
  },
  "lf.residue_field_degree": {
    "TauCeti.inertiaDegree": "TauCeti.NumberTheory.LocalField.InertiaDegree"
  },
  "lf.unramified_subfield": {
    "TauCeti.inertiaDegree": "TauCeti.NumberTheory.LocalField.InertiaDegree",
    "TauCeti.maximalUnramifiedExtension": "TauCeti.NumberTheory.LocalField.Unramified.Maximal",
    "TauCeti.unramifiedExtension": "TauCeti.NumberTheory.LocalField.Unramified.Existence"
  },
  "lf.unramified_totally_ramified_tower": {
    "TauCeti.IsTotallyRamified": "TauCeti.NumberTheory.LocalField.RamificationIndex",
    "TauCeti.unramifiedExtension": "TauCeti.NumberTheory.LocalField.Unramified.Existence"
  },
  "lf.wild_inertia_group": {
    "TauCeti.LocalFieldsRamification.lowerRamificationGroup": "TauCeti.NumberTheory.LocalField.RamificationGroup",
    "TauCeti.ramificationGroupOneSylow": "TauCeti.NumberTheory.LocalField.UnitFiltration.RamificationGroup",
    "TauCeti.wildInertiaSubgroup": "TauCeti.NumberTheory.LocalField.WildInertia"
  },
  "lfunction": {
    "AnalyticLFunction": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.SelbergData": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.eqOn_toFun_of_coeff_eq": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.zeta": "LeanBridge.ForMathlib.NumberTheory.LFunction.RiemannZeta",
    "LSeries": "Mathlib.NumberTheory.LSeries.Basic"
  },
  "lfunction.analytic_rank": {
    "AnalyticLFunction.analyticRank": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticLFunction.natCast_analyticRank": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticLFunction.iteratedDeriv_analyticRank_ne_zero": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticLFunction.analyticOrderNatAt_arithmeticNormalization": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticLFunction.analyticRank_congr": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank"
  },
  "lfunction.arithmetic": {
    "IsAlgebraic": "Mathlib.RingTheory.Algebraic.Defs",
    "LSeries": "Mathlib.NumberTheory.LSeries.Basic"
  },
  "lfunction.dirichlet_series": {
    "LSeries": "Mathlib.NumberTheory.LSeries.Basic",
    "LSeries.term": "Mathlib.NumberTheory.LSeries.Basic",
    "ArithmeticFunction": "Mathlib.NumberTheory.ArithmeticFunction.Defs"
  },
  "lfunction.dual": {
    "LSeries": "Mathlib.NumberTheory.LSeries.Basic",
    "starRingEnd": "Mathlib.Algebra.Star.Basic"
  },
  "lfunction.euler_product": {
    "ArithmeticFunction.eulerProduct": "Mathlib.NumberTheory.ArithmeticFunction.LFunction",
    "ArithmeticFunction.ofPowerSeries": "Mathlib.NumberTheory.ArithmeticFunction.LFunction",
    "EulerProduct.eulerProduct_tprod": "Mathlib.NumberTheory.EulerProduct.Basic"
  },
  "lfunction.functional_equation": {
    "AnalyticLFunction.SelbergData": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.SelbergData.gammaFactor": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.SelbergData.degree": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.completed_eq": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.completed_eq_sign_mul_conj": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic"
  },
  "lfunction.gamma_factor": {
    "Complex.Gammaℝ": "Mathlib.Analysis.SpecialFunctions.Gamma.Deligne",
    "Complex.Gammaℂ": "Mathlib.Analysis.SpecialFunctions.Gamma.Deligne",
    "Complex.Gammaℝ_mul_Gammaℝ_add_one": "Mathlib.Analysis.SpecialFunctions.Gamma.Deligne"
  },
  "lfunction.leading_coeff": {
    "AnalyticLFunction.leadingCoeff": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticLFunction.leadingCoeff_eq_iteratedDeriv": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticLFunction.meromorphicTrailingCoeffAt_arithmeticNormalization": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "AnalyticAt.meromorphicTrailingCoeffAt_eq_iteratedDeriv_div_factorial": "LeanBridge.ForMathlib.NumberTheory.LFunction.AnalyticRank",
    "meromorphicTrailingCoeffAt": "Mathlib.Analysis.Meromorphic.TrailingCoefficient"
  },
  "lfunction.normalization": {
    "AnalyticLFunction.arithmeticNormalization": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.arithmeticCoeff": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.arithmeticNormalization_eq_LSeries": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.completed_sub_eq_sign_mul_conj": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.motivicWeight": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic"
  },
  "lfunction.rh": {
    "AnalyticLFunction.RiemannHypothesis": "LeanBridge.ForMathlib.NumberTheory.LFunction.RiemannHypothesis",
    "GeneralizedRiemannHypothesis": "LeanBridge.ForMathlib.NumberTheory.LFunction.RiemannHypothesis",
    "AnalyticLFunction.zeros": "LeanBridge.ForMathlib.NumberTheory.LFunction.RiemannHypothesis",
    "riemannHypothesis_iff_zeta": "LeanBridge.ForMathlib.NumberTheory.LFunction.RiemannZeta",
    "RiemannHypothesis": "Mathlib.NumberTheory.LSeries.RiemannZeta"
  },
  "lfunction.self-dual": {
    "LSeries": "Mathlib.NumberTheory.LSeries.Basic",
    "starRingEnd": "Mathlib.Algebra.Star.Basic",
    "Complex.conj_eq_iff_real": "Mathlib.Basic.Complex.Basic"
  },
  "lfunction.sign": {
    "AnalyticLFunction.sign": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.SelbergData.sign": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.norm_sign": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic",
    "AnalyticLFunction.completed_eq_sign_mul_conj": "LeanBridge.ForMathlib.NumberTheory.LFunction.Basic"
  },
  "mf.bianchi.hyperbolic3space": {
    "TauCeti.HyperbolicMetric": "TauCeti.Geometry.Manifold.Riemannian.Hyperbolic",
    "TauCeti.UpperHalfSpace": "TauCeti.Geometry.Manifold.Riemannian.Hyperbolic.UpperHalfSpace.Basic",
    "TauCeti.UpperHalfSpace.hyperbolicMetric": "TauCeti.Geometry.Manifold.Riemannian.Hyperbolic.UpperHalfSpace.Metric"
  },
  "mf.upper_half_plane": {
    "UpperHalfPlane.Completed": "LeanBridge.ForMathlib.Analysis.Complex.UpperHalfPlane.Completed",
    "UpperHalfPlane.Completed.hasBasis_nhds_ratCast": "LeanBridge.ForMathlib.Analysis.Complex.UpperHalfPlane.Completed",
    "UpperHalfPlane.Completed.hasBasis_nhds_infty": "LeanBridge.ForMathlib.Analysis.Complex.UpperHalfPlane.Completed",
    "UpperHalfPlane.Completed.smul_cusp": "LeanBridge.ForMathlib.Analysis.Complex.UpperHalfPlane.Completed",
    "UpperHalfPlane": "Mathlib.Analysis.Complex.UpperHalfPlane.Basic"
  },
  "modcurve.level_structure": {
    "WeierstrassCurve.levelStructure": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.LevelStructure",
    "WeierstrassCurve.IsRationalLevelStructure": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.LevelStructure",
    "WeierstrassCurve.cyclicIsogenyFieldDegree": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.LevelStructure",
    "WeierstrassCurve.cyclicTorsionFieldDegree": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.LevelStructure",
    "WeierstrassCurve.torsionFieldDegree": "LeanBridge.ForMathlib.AlgebraicGeometry.EllipticCurve.LevelStructure"
  },
  "modlgal.absolutely_irreducible": {
    "Representation.baseChange": "TauCeti.RepresentationTheory.BaseChange"
  },
  "nf.abelian": {
    "IsAbelianGalois": "Mathlib.FieldTheory.Galois.Abelian"
  },
  "nf.arithmetically_equivalent": {
    "NumberField.dedekindZeta": "Mathlib.NumberTheory.NumberField.DedekindZeta"
  },
  "nf.cm_field": {
    "NumberField.IsCMField": "Mathlib.NumberTheory.NumberField.CMField",
    "NumberField.IsCMField.ofCMExtension": "Mathlib.NumberTheory.NumberField.CMField",
    "NumberField.isTotallyReal_maximalRealSubfield": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex"
  },
  "nf.complex_embedding": {
    "NumberField.ComplexEmbedding.IsReal": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings",
    "NumberField.ComplexEmbedding.conjugate": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings",
    "NumberField.InfinitePlace.card_complex_embeddings": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic"
  },
  "nf.conductor": {
    "NumberField.abelianConductor": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.nonempty_algHom_cyclotomicField_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.nonempty_algHom_cyclotomicField_abelianConductor": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.abelianConductor_pos_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.isAbelianGalois_of_abelianConductor_pos": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor"
  },
  "nf.defining_polynomial": {
    "IsAdjoinRoot": "Mathlib.RingTheory.IsAdjoinRoot",
    "AdjoinRoot": "Mathlib.RingTheory.AdjoinRoot",
    "IntermediateField.adjoinRootEquivAdjoin": "Mathlib.FieldTheory.IntermediateField.Adjoin.Basic"
  },
  "nf.degree": {
    "Module.finrank": "Mathlib.LinearAlgebra.Dimension.Finrank"
  },
  "nf.dirichlet_group": {
    "NumberField.dirichletCharacterGroup": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.dirichletCharacterGroup_eq": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.card_dirichletCharacterGroup": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "NumberField.dirichletConductor_dirichletCharacterGroup": "LeanBridge.ForMathlib.NumberTheory.NumberField.AbelianConductor",
    "IsCyclotomicExtension.Rat.intermediateFieldEquivSubgroupChar": "Mathlib.NumberTheory.NumberField.Cyclotomic.Galois"
  },
  "nf.discriminant_root_field": {
    "TauCeti.discrField": "TauCeti.FieldTheory.GaloisGroups.Discriminant.Field",
    "TauCeti.evenAutSubgroup": "TauCeti.FieldTheory.GaloisGroups.Discriminant.Field"
  },
  "nf.embedding": {
    "RingHom": "Mathlib.Algebra.Ring.Hom.Defs",
    "NumberField.Embeddings.card": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings",
    "NumberField.ComplexEmbedding.IsReal": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings",
    "NumberField.Embeddings.range_eval_eq_rootSet_minpoly": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings"
  },
  "nf.frobenius_cycle_types": {
    "NumberField.frobeniusCycleType": "LeanBridge.ForMathlib.NumberTheory.NumberField.FrobeniusCycleType",
    "NumberField.fullCycleType_toPerm_eq_frobeniusCycleType": "LeanBridge.ForMathlib.NumberTheory.NumberField.FrobeniusCycleType",
    "NumberField.frobeniusCycleType_congr": "LeanBridge.ForMathlib.NumberTheory.NumberField.FrobeniusCycleType",
    "IsArithFrobAt": "Mathlib.RingTheory.Frobenius",
    "Ideal.inertiaDeg": "Mathlib.RingTheory.RamificationInertia.Inertia"
  },
  "nf.fundamental_units": {
    "NumberField.Units.fundSystem": "Mathlib.NumberTheory.NumberField.Units.DirichletTheorem",
    "NumberField.Units.basisModTorsion": "Mathlib.NumberTheory.NumberField.Units.DirichletTheorem",
    "NumberField.Units.exist_unique_eq_mul_prod": "Mathlib.NumberTheory.NumberField.Units.DirichletTheorem"
  },
  "nf.galois_closure": {
    "IntermediateField.normalClosure": "Mathlib.FieldTheory.Normal.Closure",
    "IsNormalClosure": "Mathlib.FieldTheory.Normal.Closure",
    "IsGalois.normalClosure_of_isSeparable": "Mathlib.FieldTheory.Galois.Basic",
    "IntermediateField.normalClosure_le_iff_of_normal": "Mathlib.FieldTheory.Normal.Closure"
  },
  "nf.galois_group": {
    "Polynomial.Gal": "Mathlib.FieldTheory.PolynomialGaloisGroup",
    "Polynomial.Gal.galActionHom": "Mathlib.FieldTheory.PolynomialGaloisGroup",
    "Polynomial.Gal.galActionHom_injective": "Mathlib.FieldTheory.PolynomialGaloisGroup",
    "TauCeti.galEquivNormalClosure": "TauCeti.FieldTheory.GaloisGroups.NormalClosure"
  },
  "nf.galois_root_discriminant": {
    "NumberField.rootDiscr": "Mathlib.NumberTheory.NumberField.Discriminant.Basic",
    "IntermediateField.normalClosure": "Mathlib.FieldTheory.Normal.Closure",
    "IsNormalClosure": "Mathlib.FieldTheory.Normal.Closure"
  },
  "nf.generator": {
    "IntermediateField.adjoin": "Mathlib.FieldTheory.IntermediateField.Adjoin.Defs",
    "IntermediateField.adjoinRootEquivAdjoin": "Mathlib.FieldTheory.IntermediateField.Adjoin.Basic",
    "Field.exists_primitive_element": "Mathlib.FieldTheory.PrimitiveElement"
  },
  "nf.inessential_prime": {
    "TauCeti.NumberField.IntegralPrimitiveElement.index": "TauCeti.NumberTheory.NumberField.Index.Basic",
    "TauCeti.NumberField.IsCommonIndexDivisor": "TauCeti.NumberTheory.NumberField.Index.CommonIndexDivisor"
  },
  "nf.integral": {
    "IsIntegral": "Mathlib.RingTheory.IntegralClosure.IsIntegral.Defs"
  },
  "nf.intermediate_fields": {
    "IntermediateField": "Mathlib.FieldTheory.IntermediateField.Basic"
  },
  "nf.is_galois": {
    "IsGalois": "Mathlib.FieldTheory.Galois.Basic",
    "IsGalois.tfae": "Mathlib.FieldTheory.Galois.Basic"
  },
  "nf.local_algebra": {
    "TensorProduct": "Mathlib.LinearAlgebra.TensorProduct.Defs",
    "Padic": "Mathlib.NumberTheory.Padics.PadicNumbers",
    "Algebra.Etale.baseChange": "Mathlib.RingTheory.Etale.Basic",
    "Algebra.Etale.iff_exists_algEquiv_prod": "Mathlib.RingTheory.Etale.Field"
  },
  "nf.max_p": {
    "NumberField.ramifiedPrimes": "TauCeti.NumberTheory.NumberField.RamifiedPrimes"
  },
  "nf.maximal_cm_subfield": {
    "NumberField.maximalCMSubfield": "LeanBridge.ForMathlib.NumberTheory.NumberField.MaximalCMSubfield",
    "NumberField.isCMField_maximalCMSubfield_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.MaximalCMSubfield",
    "NumberField.IsCMField.le_maximalCMSubfield": "LeanBridge.ForMathlib.NumberTheory.NumberField.MaximalCMSubfield",
    "NumberField.IsCMField.eq_maximalCMSubfield": "LeanBridge.ForMathlib.NumberTheory.NumberField.MaximalCMSubfield",
    "NumberField.maximalCMSubfield_eq_maximalRealSubfield_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.MaximalCMSubfield"
  },
  "nf.minimal_polynomial": {
    "minpoly": "Mathlib.FieldTheory.Minpoly.Basic",
    "minpoly.unique": "Mathlib.FieldTheory.Minpoly.Field",
    "minpoly.irreducible": "Mathlib.FieldTheory.Minpoly.Basic"
  },
  "nf.monogenic": {
    "TauCeti.NumberField.IsMonogenic": "TauCeti.NumberTheory.NumberField.Monogenic"
  },
  "nf.monomial_order": {
    "TauCeti.GlobalNumberFields.NumberFieldOrder": "TauCeti.NumberTheory.NumberField.Global.Orders.Basic",
    "TauCeti.NumberField.IntegralPrimitiveElement.adjoin": "TauCeti.NumberTheory.NumberField.Index.Basic"
  },
  "nf.narrow_class_group": {
    "NumberField.IsTotallyPositive": "TauCeti.NumberTheory.NumberField.TotallyPositive",
    "NumberField.NarrowClassGroup": "TauCeti.NumberTheory.NumberField.NarrowClassGroup.Basic",
    "NumberField.NarrowClassGroup.toClassGroup": "TauCeti.NumberTheory.NumberField.NarrowClassGroup.Basic",
    "NumberField.narrowPrincipalSubgroup": "TauCeti.NumberTheory.NumberField.NarrowClassGroup.Basic"
  },
  "nf.narrow_class_number": {
    "NumberField.NarrowClassGroup": "TauCeti.NumberTheory.NumberField.NarrowClassGroup.Basic"
  },
  "nf.order": {
    "TauCeti.GlobalNumberFields.NumberFieldOrder": "TauCeti.NumberTheory.NumberField.Global.Orders.Basic",
    "TauCeti.GlobalNumberFields.maximalNumberFieldOrder": "TauCeti.NumberTheory.NumberField.Global.Orders.Basic"
  },
  "nf.padic_completion": {
    "IsDedekindDomain.HeightOneSpectrum.adicCompletion": "Mathlib.RingTheory.DedekindDomain.AdicValuation",
    "IsDedekindDomain.HeightOneSpectrum.valuation": "Mathlib.RingTheory.DedekindDomain.AdicValuation"
  },
  "nf.polredabs": {
    "NumberField.IsPolredabs": "LeanBridge.ForMathlib.NumberTheory.NumberField.Polredabs",
    "NumberField.polredabs": "LeanBridge.ForMathlib.NumberTheory.NumberField.Polredabs",
    "NumberField.IsDefiningPolynomial": "LeanBridge.ForMathlib.NumberTheory.NumberField.Polredabs",
    "NumberField.exists_isPolredabs": "LeanBridge.ForMathlib.NumberTheory.NumberField.Polredabs",
    "NumberField.IsPolredabs.eq": "LeanBridge.ForMathlib.NumberTheory.NumberField.Polredabs"
  },
  "nf.prime": {
    "IsDedekindDomain.HeightOneSpectrum": "Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas",
    "Ideal.LiesOver": "Mathlib.RingTheory.Ideal.Over",
    "Ideal.under": "Mathlib.RingTheory.Ideal.Over",
    "Ideal.primesOver": "Mathlib.RingTheory.Ideal.Over"
  },
  "nf.radical_discriminant": {
    "UniqueFactorizationMonoid.radical": "Mathlib.RingTheory.Radical.Basic",
    "NumberField.discr": "Mathlib.NumberTheory.NumberField.Discriminant.Defs",
    "Int.radical_eq_prod_primeFactors": "Mathlib.RingTheory.Radical.NatInt",
    "NumberField.not_dvd_discr_iff_isUnramifiedIn": "Mathlib.NumberTheory.NumberField.Discriminant.Different"
  },
  "nf.ramified_primes": {
    "Algebra.IsUnramifiedIn": "Mathlib.RingTheory.Unramified.Locus",
    "Algebra.isUnramifiedIn_iff_forall_ramificationIdx_eq_one": "Mathlib.NumberTheory.RamificationInertia.Unramified",
    "Ideal.ramificationIdx": "Mathlib.RingTheory.RamificationInertia.Ramification",
    "Ideal.IsDedekindDomain.ramificationIdx_eq_normalizedFactors_count": "Mathlib.RingTheory.RamificationInertia.Ramification",
    "NumberField.not_dvd_discr_iff_isUnramifiedIn": "Mathlib.NumberTheory.NumberField.Discriminant.Different"
  },
  "nf.rank": {
    "NumberField.Units.rank": "Mathlib.NumberTheory.NumberField.Units.DirichletTheorem",
    "NumberField.Units.finrank_modTorsion": "Mathlib.NumberTheory.NumberField.Units.DirichletTheorem",
    "NumberField.InfinitePlace.card_eq_nrRealPlaces_add_nrComplexPlaces": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic"
  },
  "nf.real_embedding": {
    "RingHom": "Mathlib.Algebra.Ring.Hom.Defs",
    "NumberField.ComplexEmbedding.IsReal": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings",
    "NumberField.ComplexEmbedding.IsReal.embedding": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings",
    "NumberField.InfinitePlace.card_real_embeddings": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic"
  },
  "nf.reflex_field": {
    "NumberField.CMType": "LeanBridge.ForMathlib.NumberTheory.NumberField.ReflexField",
    "NumberField.CMType.reflexField": "LeanBridge.ForMathlib.NumberTheory.NumberField.ReflexField",
    "NumberField.CMType.stabilizer": "LeanBridge.ForMathlib.NumberTheory.NumberField.ReflexField",
    "NumberField.CMType.reflexField_compl": "LeanBridge.ForMathlib.NumberTheory.NumberField.ReflexField",
    "NumberField.CMType.card_cmType": "LeanBridge.ForMathlib.NumberTheory.NumberField.ReflexField"
  },
  "nf.regulator": {
    "NumberField.Units.regulator": "Mathlib.NumberTheory.NumberField.Units.Regulator",
    "NumberField.Units.regulator_eq_det": "Mathlib.NumberTheory.NumberField.Units.Regulator"
  },
  "nf.relative_class_number": {
    "NumberField.classNumber": "Mathlib.NumberTheory.NumberField.ClassNumber",
    "NumberField.maximalRealSubfield": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex",
    "NumberField.IsCMField": "Mathlib.NumberTheory.NumberField.CMField"
  },
  "nf.root_discriminant": {
    "NumberField.rootDiscr": "Mathlib.NumberTheory.NumberField.Discriminant.Basic"
  },
  "nf.separable": {
    "IsSeparable": "Mathlib.FieldTheory.Separable",
    "Algebra.IsSeparable": "Mathlib.FieldTheory.Separable",
    "Polynomial.Separable": "Mathlib.FieldTheory.Separable",
    "Polynomial.nodup_aroots_iff_of_splits": "Mathlib.FieldTheory.Separable"
  },
  "nf.separable_algebra": {
    "Algebra.Etale": "Mathlib.RingTheory.Etale.Basic",
    "Algebra.Etale.iff_exists_algEquiv_prod": "Mathlib.RingTheory.Etale.Field",
    "Algebra.Etale.baseChange": "Mathlib.RingTheory.Etale.Basic"
  },
  "nf.sibling": {
    "Algebra.IsSibling": "LeanBridge.ForMathlib.NumberTheory.NumberField.Sibling",
    "Algebra.galoisClosure": "LeanBridge.ForMathlib.NumberTheory.NumberField.Sibling",
    "Algebra.isSibling_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.Sibling",
    "Algebra.galoisClosure_eq_normalClosure": "LeanBridge.ForMathlib.NumberTheory.NumberField.Sibling",
    "Algebra.isNormalClosure_galoisClosure": "LeanBridge.ForMathlib.NumberTheory.NumberField.Sibling"
  },
  "nf.signature": {
    "NumberField.InfinitePlace.nrRealPlaces": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic",
    "NumberField.InfinitePlace.nrComplexPlaces": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic",
    "NumberField.InfinitePlace.card_real_embeddings": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic",
    "NumberField.InfinitePlace.card_complex_embeddings": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic",
    "NumberField.InfinitePlace.card_add_two_mul_card_eq_rank": "Mathlib.NumberTheory.NumberField.InfinitePlace.Basic"
  },
  "nf.stem_field": {
    "IsNormalClosure": "Mathlib.FieldTheory.Normal.Closure",
    "IntermediateField.adjoin": "Mathlib.FieldTheory.IntermediateField.Adjoin.Defs",
    "AdjoinRoot": "Mathlib.RingTheory.AdjoinRoot",
    "IntermediateField.adjoinRootEquivAdjoin": "Mathlib.FieldTheory.IntermediateField.Adjoin.Basic"
  },
  "nf.torsion": {
    "NumberField.Units.torsion": "Mathlib.NumberTheory.NumberField.Units.Basic",
    "IsPrimitiveRoot": "Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots",
    "NumberField.Units.torsionOrder": "Mathlib.NumberTheory.NumberField.Units.Basic",
    "NumberField.Units.rootsOfUnity_eq_torsion": "Mathlib.NumberTheory.NumberField.Units.Basic",
    "IsPrimitiveRoot.zpowers_eq": "Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots"
  },
  "nf.totally_imaginary": {
    "NumberField.IsTotallyComplex": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex",
    "NumberField.IsTotallyComplex.complexEmbedding_not_isReal": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex",
    "NumberField.nrRealPlaces_eq_zero_iff": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex"
  },
  "nf.totally_positive": {
    "NumberField.IsTotallyPositive": "TauCeti.NumberTheory.NumberField.TotallyPositive",
    "NumberField.totallyPositiveUnits": "TauCeti.NumberTheory.NumberField.TotallyPositive"
  },
  "nf.totally_real": {
    "NumberField.IsTotallyReal": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex",
    "NumberField.IsTotallyReal.complexEmbedding_isReal": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex",
    "NumberField.nrComplexPlaces_eq_zero_iff": "Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex",
    "NumberField.Embeddings.range_eval_eq_rootSet_minpoly": "Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings"
  },
  "nf.unit_group": {
    "NumberField.RingOfIntegers": "Mathlib.NumberTheory.NumberField.Basic",
    "Units": "Mathlib.Algebra.Group.Units.Defs",
    "NumberField.Units.torsion": "Mathlib.NumberTheory.NumberField.Units.Basic",
    "NumberField.Units.exist_unique_eq_mul_prod": "Mathlib.NumberTheory.NumberField.Units.DirichletTheorem"
  },
  "nf.unit_signature_rank": {
    "NumberField.unitSignatureRank": "LeanBridge.ForMathlib.NumberTheory.NumberField.Units.SignatureRank",
    "TauCeti.GlobalNumberFields.integerUnitSignatures": "TauCeti.NumberTheory.NumberField.Global.RayClass.Narrow.Kernel",
    "NumberField.unitSignatureRank_pos": "LeanBridge.ForMathlib.NumberTheory.NumberField.Units.SignatureRank",
    "NumberField.unitSignatureRank_le": "LeanBridge.ForMathlib.NumberTheory.NumberField.Units.SignatureRank",
    "NumberField.unitSignatureRank_eq_zero_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.Units.SignatureRank"
  },
  "nf.unramified_prime": {
    "Algebra.IsUnramifiedIn": "Mathlib.RingTheory.Unramified.Locus",
    "Algebra.isUnramifiedIn_iff_forall_ramificationIdx_eq_one": "Mathlib.NumberTheory.RamificationInertia.Unramified",
    "Ideal.ramificationIdx": "Mathlib.RingTheory.RamificationInertia.Ramification",
    "Ideal.IsDedekindDomain.ramificationIdx_eq_normalizedFactors_count": "Mathlib.RingTheory.RamificationInertia.Ramification",
    "NumberField.not_dvd_discr_iff_isUnramifiedIn": "Mathlib.NumberTheory.NumberField.Discriminant.Different"
  },
  "nf.weil_polynomial": {
    "Polynomial.IsWeilPolynomial": "LeanBridge.ForMathlib.NumberTheory.NumberField.WeilPolynomial",
    "Polynomial.finite_setOf_isWeilPolynomial": "LeanBridge.ForMathlib.NumberTheory.NumberField.WeilPolynomial",
    "Polynomial.IsWeilPolynomial.mahlerMeasure_le": "LeanBridge.ForMathlib.NumberTheory.NumberField.WeilPolynomial"
  },
  "nf.zk_index": {
    "NumberField.fieldIndex": "LeanBridge.ForMathlib.NumberTheory.NumberField.FieldIndex",
    "NumberField.dvd_fieldIndex_iff": "LeanBridge.ForMathlib.NumberTheory.NumberField.FieldIndex",
    "TauCeti.NumberField.IntegralPrimitiveElement.index": "TauCeti.NumberTheory.NumberField.Index.Basic",
    "NumberField.isCommonIndexDivisor_iff_dvd_fieldIndex": "LeanBridge.ForMathlib.NumberTheory.NumberField.FieldIndex",
    "NumberField.fieldIndex_eq_one_of_isMonogenic": "LeanBridge.ForMathlib.NumberTheory.NumberField.FieldIndex"
  },
  "ring.a-field": {
    "Algebra": "Mathlib.Algebra.Algebra.Defs",
    "Field": "Mathlib.Algebra.Field.Defs"
  },
  "ring.characteristic": {
    "ringChar": "Mathlib.Algebra.CharP.Defs",
    "CharP": "Mathlib.Algebra.CharP.Defs",
    "CharP.addOrderOf_one": "Mathlib.GroupTheory.OrderOfElement",
    "CharP.char_is_prime_or_zero": "Mathlib.Algebra.CharP.Defs"
  },
  "ring.field_of_fractions": {
    "FractionRing": "Mathlib.RingTheory.Localization.FractionRing",
    "IsFractionRing": "Mathlib.RingTheory.Localization.FractionRing",
    "FractionRing.field": "Mathlib.RingTheory.Localization.FractionRing",
    "IsFractionRing.lift": "Mathlib.RingTheory.Localization.FractionRing",
    "FractionRing.algEquiv": "Mathlib.RingTheory.Localization.FractionRing"
  },
  "ring.ideal": {
    "TwoSidedIdeal": "Mathlib.RingTheory.TwoSidedIdeal.Basic",
    "Ideal": "Mathlib.RingTheory.Ideal.Defs",
    "Ideal.IsHomogeneous": "Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal",
    "MvPolynomial.gradedAlgebra": "Mathlib.RingTheory.MvPolynomial.Homogeneous",
    "Ideal.IsHomogeneous.iff_exists": "Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal"
  },
  "ring.principal_fractional_ideal": {
    "FractionalIdeal.spanSingleton": "Mathlib.RingTheory.FractionalIdeal.Operations",
    "toPrincipalIdeal": "Mathlib.RingTheory.ClassGroup.Basic",
    "FractionalIdeal.mem_spanSingleton": "Mathlib.RingTheory.FractionalIdeal.Operations"
  },
  "ring.zero_divisor": {
    "nonZeroDivisors": "Mathlib.Algebra.GroupWithZero.NonZeroDivisors",
    "notMem_nonZeroDivisors_iff": "Mathlib.Algebra.GroupWithZero.NonZeroDivisors"
  },
  "st_group.symplectic_form": {
    "LinearMap.BilinForm.IsAlt": "Mathlib.LinearAlgebra.BilinearForm.Properties",
    "LinearMap.BilinForm.Nondegenerate": "Mathlib.LinearAlgebra.BilinearForm.Properties",
    "LinearMap.BilinForm": "Mathlib.LinearAlgebra.BilinearMap"
  },
  "st_group.usp": {
    "Matrix.unitaryGroup": "Mathlib.LinearAlgebra.UnitaryGroup",
    "Matrix.symplecticGroup": "Mathlib.LinearAlgebra.SymplecticGroup",
    "SymplecticGroup.mem_iff'": "Mathlib.LinearAlgebra.SymplecticGroup",
    "Matrix.J": "Mathlib.LinearAlgebra.SymplecticGroup"
  }
}