feat(Analysis/InnerProductSpace/Dual, Mathlib/Analysis/Normed/Group/SeparationQuotient): add null submodule and various lifts #16707
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PR summary 6b201622c1Import changes exceeding 2%
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Topology.Algebra.SeparationQuotient.Basic | 1034 | 1135 | +101 (+9.77%) |
| Mathlib.Analysis.LocallyConvex.WithSeminorms | 1312 | 1330 | +18 (+1.37%) |
| Mathlib.Analysis.InnerProductSpace.Dual | 1657 | 1672 | +15 (+0.91%) |
Import changes for all files
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191 filesMathlib.Analysis.CStarAlgebra.GelfandDuality Mathlib.NumberTheory.Cyclotomic.Rat Mathlib.NumberTheory.LSeries.HurwitzZetaValues Mathlib.Analysis.SpecialFunctions.Gamma.Basic Mathlib.Analysis.SpecialFunctions.Integrals Mathlib.NumberTheory.Harmonic.ZetaAsymp Mathlib.Dynamics.Ergodic.AddCircle Mathlib.Analysis.Calculus.BumpFunction.Convolution Mathlib.Analysis.Fourier.PoissonSummation Mathlib.NumberTheory.Cyclotomic.Discriminant Mathlib.MeasureTheory.Integral.IntervalAverage Mathlib.Analysis.Distribution.FourierSchwartz Mathlib.Analysis.Calculus.ParametricIntervalIntegral Mathlib.NumberTheory.GaussSum Mathlib.NumberTheory.EulerProduct.DirichletLSeries Mathlib.MeasureTheory.Integral.IntervalIntegral Mathlib.Analysis.Complex.AbsMax Mathlib.Probability.Kernel.Disintegration.CDFToKernel Mathlib.Analysis.CStarAlgebra.Spectrum Mathlib.Geometry.Manifold.Complex Mathlib.NumberTheory.LSeries.DirichletContinuation Mathlib.MeasureTheory.Integral.CircleIntegral Mathlib.Probability.StrongLaw Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral Mathlib.Analysis.SpecialFunctions.Gamma.Beta Mathlib.MeasureTheory.Integral.TorusIntegral Mathlib.MeasureTheory.Measure.LevyProkhorovMetric Mathlib.Algebra.Module.ZLattice.Covolume Mathlib.Analysis.Complex.TaylorSeries Mathlib.Analysis.Normed.Algebra.Spectrum Mathlib.Analysis.FunctionalSpaces.SobolevInequality Mathlib.NumberTheory.LSeries.ZMod Mathlib.Analysis.CStarAlgebra.Module.Constructions Mathlib.Probability.Distributions.Exponential Mathlib.Analysis.SpecialFunctions.Complex.Arctan Mathlib.Probability.Kernel.Composition Mathlib.MeasureTheory.Integral.DivergenceTheorem Mathlib.NumberTheory.NumberField.Discriminant Mathlib.NumberTheory.NumberField.EquivReindex Mathlib.Analysis.SpecialFunctions.ImproperIntegrals Mathlib.Analysis.Fourier.ZMod Mathlib.Analysis.SpecialFunctions.Complex.LogBounds Mathlib.Analysis.SpecialFunctions.Gamma.Deligne Mathlib.Analysis.Complex.PhragmenLindelof Mathlib.NumberTheory.ModularForms.JacobiTheta.Manifold Mathlib.Algebra.Module.ZLattice.Basic Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls Mathlib.MeasureTheory.Integral.FundThmCalculus Mathlib.NumberTheory.Cyclotomic.Three Mathlib.Probability.Kernel.Disintegration.Integral Mathlib.NumberTheory.LSeries.HurwitzZetaEven Mathlib.MeasureTheory.Measure.Portmanteau Mathlib.NumberTheory.LSeries.Deriv Mathlib.MeasureTheory.Measure.Haar.NormedSpace Mathlib.Analysis.Fourier.AddCircle Mathlib.Analysis.SpecialFunctions.Gaussian.PoissonSummation Mathlib.Analysis.Fourier.Inversion Mathlib.Probability.Kernel.WithDensity Mathlib.Analysis.SpecialFunctions.NonIntegrable Mathlib.MeasureTheory.Group.AddCircle Mathlib.Probability.Independence.ZeroOne Mathlib.Analysis.SpecialFunctions.Complex.Analytic Mathlib.NumberTheory.ModularForms.EisensteinSeries.Basic Mathlib.Probability.Kernel.Disintegration.StandardBorel Mathlib.Probability.Distributions.Gaussian Mathlib.Probability.Kernel.CondDistrib Mathlib.MeasureTheory.Measure.Haar.Unique Mathlib.Geometry.Manifold.BumpFunction Mathlib.Probability.Kernel.RadonNikodym Mathlib.NumberTheory.Harmonic.GammaDeriv Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone Mathlib.Data.Real.Pi.Irrational Mathlib.Analysis.Complex.CauchyIntegral Mathlib.MeasureTheory.Group.GeometryOfNumbers Mathlib.Analysis.SpecialFunctions.PolarCoord Mathlib.MeasureTheory.Order.UpperLower Mathlib.Analysis.Calculus.ParametricIntegral Mathlib.Probability.Kernel.IntegralCompProd Mathlib.NumberTheory.ModularForms.JacobiTheta.OneVariable Mathlib.Probability.Kernel.Disintegration.CondCDF Mathlib.Probability.Kernel.Disintegration.Density Mathlib.MeasureTheory.Covering.BesicovitchVectorSpace Mathlib.MeasureTheory.Constructions.Prod.Integral Mathlib.NumberTheory.Cyclotomic.Embeddings Mathlib.MeasureTheory.Integral.Layercake Mathlib.Analysis.CStarAlgebra.Module.Defs Mathlib.Analysis.Complex.Schwarz Mathlib.Analysis.Fourier.FourierTransformDeriv Mathlib.NumberTheory.LSeries.RiemannZeta Mathlib.MeasureTheory.Covering.OneDim Mathlib.Data.Real.Pi.Leibniz Mathlib.NumberTheory.FLT.Three Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody Mathlib.NumberTheory.NumberField.Units.Basic Mathlib.Probability.Kernel.Invariance Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral Mathlib.Probability.Distributions.Uniform Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unique Mathlib.NumberTheory.DirichletCharacter.GaussSum Mathlib.Probability.Kernel.MeasurableIntegral Mathlib.NumberTheory.ModularForms.JacobiTheta.Bounds Mathlib.NumberTheory.ModularForms.EisensteinSeries.MDifferentiable Mathlib.NumberTheory.LSeries.Dirichlet Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog Mathlib.Tactic.NormNum.LegendreSymbol Mathlib.NumberTheory.ModularForms.JacobiTheta.TwoVariable Mathlib.Analysis.BoxIntegral.Integrability Mathlib.Analysis.Complex.Polynomial.Basic Mathlib.MeasureTheory.Integral.IntegralEqImproper Mathlib.Probability.Kernel.Disintegration.Basic Mathlib.Analysis.Complex.RemovableSingularity Mathlib.Analysis.Complex.Liouville Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum Mathlib.NumberTheory.LSeries.MellinEqDirichlet Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol Mathlib.MeasureTheory.Function.Jacobian Mathlib.Analysis.Complex.LocallyUniformLimit Mathlib.NumberTheory.LegendreSymbol.AddCharacter Mathlib.NumberTheory.Cyclotomic.PID Mathlib.NumberTheory.JacobiSum.Basic Mathlib.Analysis.Distribution.AEEqOfIntegralContDiff Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup Mathlib.MeasureTheory.Integral.PeakFunction Mathlib.NumberTheory.NumberField.Units.DirichletTheorem Mathlib.Analysis.Normed.Algebra.Basic Mathlib.MeasureTheory.Integral.ExpDecay Mathlib.Dynamics.Ergodic.Action.OfMinimal Mathlib.NumberTheory.NumberField.Units.Regulator Mathlib.Analysis.SpecialFunctions.Stirling Mathlib.Analysis.ConstantSpeed Mathlib.Analysis.Calculus.Monotone Mathlib.RingTheory.Polynomial.Selmer Mathlib.Geometry.Manifold.IntegralCurve Mathlib.Analysis.SumIntegralComparisons Mathlib.MeasureTheory.Constructions.HaarToSphere Mathlib.Analysis.SpecialFunctions.JapaneseBracket Mathlib.MeasureTheory.Integral.CircleTransform Mathlib.MeasureTheory.Integral.DominatedConvergence Mathlib.Probability.Kernel.MeasureCompProd Mathlib.NumberTheory.ZetaValues Mathlib.Analysis.Complex.Positivity Mathlib.Analysis.Fourier.FourierTransform Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances Mathlib.Analysis.Convolution Mathlib.Analysis.MellinInversion Mathlib.Analysis.CStarAlgebra.Hom Mathlib.Analysis.Complex.Polynomial.UnitTrinomial Mathlib.Geometry.Manifold.PartitionOfUnity Mathlib.NumberTheory.LSeries.HurwitzZetaOdd Mathlib.Analysis.Complex.Hadamard Mathlib.Analysis.Calculus.LineDeriv.IntegrationByParts Mathlib.Analysis.BoundedVariation Mathlib.NumberTheory.WellApproximable Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order Mathlib.Probability.Distributions.Pareto Mathlib.MeasureTheory.Measure.Lebesgue.Integral Mathlib.Analysis.Calculus.Rademacher Mathlib.MeasureTheory.Integral.Pi Mathlib.NumberTheory.NumberField.House Mathlib.NumberTheory.NumberField.Embeddings Mathlib.MeasureTheory.Integral.Periodic Mathlib.NumberTheory.Harmonic.Bounds Mathlib.Analysis.MellinTransform Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar Mathlib.MeasureTheory.Integral.Gamma Mathlib.Analysis.SpecialFunctions.Trigonometric.EulerSineProd Mathlib.Probability.Kernel.Condexp Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension Mathlib.Probability.Distributions.Gamma Mathlib.Probability.Density Mathlib.Analysis.Complex.OpenMapping Mathlib.Analysis.Calculus.BumpFunction.Normed Mathlib.Analysis.ODE.PicardLindelof Mathlib.NumberTheory.NumberField.ClassNumber Mathlib.NumberTheory.LSeries.HurwitzZeta Mathlib.Tactic Mathlib.Analysis.SpecialFunctions.Gaussian.FourierTransform Mathlib.MeasureTheory.Measure.Haar.Disintegration Mathlib.Analysis.Distribution.SchwartzSpace Mathlib.Analysis.SpecialFunctions.Gamma.Deriv Mathlib.Analysis.SpecialFunctions.Pow.Integral Mathlib.Geometry.Manifold.WhitneyEmbedding Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic Mathlib.Probability.Kernel.Disintegration.Unique Mathlib.Probability.Independence.Conditional Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic Mathlib.Data.Real.Pi.Wallis Mathlib.NumberTheory.LSeries.AbstractFuncEq Mathlib.Probability.CDF Mathlib.MeasureTheory.Measure.Haar.Quotient |
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88 filesMathlib.MeasureTheory.Integral.VitaliCaratheodory Mathlib.Probability.Process.HittingTime Mathlib.Probability.BorelCantelli Mathlib.Probability.Variance Mathlib.MeasureTheory.Measure.FiniteMeasure Mathlib.MeasureTheory.Measure.ProbabilityMeasure Mathlib.MeasureTheory.Function.UnifTight Mathlib.MeasureTheory.Function.ConditionalExpectation.Unique Mathlib.MeasureTheory.Function.L2Space Mathlib.MeasureTheory.Function.ContinuousMapDense Mathlib.Probability.Martingale.Upcrossing Mathlib.MeasureTheory.Function.SimpleFuncDenseLp Mathlib.Probability.Martingale.OptionalSampling Mathlib.MeasureTheory.Measure.LogLikelihoodRatio Mathlib.MeasureTheory.Function.LpSpace Mathlib.Topology.ContinuousMap.Compact Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable Mathlib.MeasureTheory.Function.UniformIntegrable Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Restrict Mathlib.MeasureTheory.Integral.Bochner Mathlib.Probability.Martingale.Basic Mathlib.MeasureTheory.Decomposition.RadonNikodym Mathlib.MeasureTheory.Decomposition.SignedLebesgue Mathlib.MeasureTheory.Measure.WithDensityFinite Mathlib.MeasureTheory.Covering.LiminfLimsup Mathlib.Probability.Martingale.Convergence Mathlib.MeasureTheory.Function.LpSpace.DomAct.Basic Mathlib.MeasureTheory.Function.AEEqOfIntegral Mathlib.Analysis.Convex.Integral Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.NonUnital Mathlib.MeasureTheory.Covering.DensityTheorem Mathlib.Topology.ContinuousMap.StarOrdered Mathlib.MeasureTheory.Measure.FiniteMeasureProd Mathlib.MeasureTheory.Integral.Asymptotics Mathlib.Analysis.Fourier.RiemannLebesgueLemma Mathlib.Analysis.SpecialFunctions.Bernstein Mathlib.MeasureTheory.Integral.RieszMarkovKakutani Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.MeasureTheory.Function.ConditionalExpectation.Basic Mathlib.MeasureTheory.Function.LpSpace.ContinuousCompMeasurePreserving Mathlib.MeasureTheory.Function.L1Space Mathlib.MeasureTheory.Measure.Tilted Mathlib.MeasureTheory.Function.LpOrder Mathlib.Probability.Moments Mathlib.MeasureTheory.Group.FundamentalDomain Mathlib.Topology.ContinuousMap.Weierstrass Mathlib.MeasureTheory.Decomposition.Lebesgue Mathlib.MeasureTheory.Function.LocallyIntegrable Mathlib.Analysis.InnerProductSpace.StarOrder Mathlib.Probability.Process.Stopping Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1 Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL2 Mathlib.MeasureTheory.Integral.BoundedContinuousFunction Mathlib.Topology.ContinuousMap.ContinuousMapZero Mathlib.MeasureTheory.Function.ConvergenceInMeasure Mathlib.Probability.Independence.Integrable Mathlib.Probability.IdentDistrib Mathlib.Topology.ContinuousMap.StoneWeierstrass Mathlib.MeasureTheory.Measure.SeparableMeasure Mathlib.MeasureTheory.Covering.Differentiation Mathlib.Probability.Process.Adapted Mathlib.MeasureTheory.Function.Intersectivity Mathlib.Probability.Process.Filtration Mathlib.MeasureTheory.Measure.DiracProba Mathlib.MeasureTheory.Integral.IntegrableOn Mathlib.MeasureTheory.Integral.SetToL1 Mathlib.MeasureTheory.Function.ConditionalExpectation.Indicator Mathlib.MeasureTheory.Covering.Besicovitch Mathlib.Probability.Martingale.OptionalStopping Mathlib.Probability.Martingale.BorelCantelli Mathlib.Probability.ProbabilityMassFunction.Integrals Mathlib.Probability.ConditionalExpectation Mathlib.MeasureTheory.Integral.SetIntegral Mathlib.MeasureTheory.Function.LpSpace.DomAct.Continuous Mathlib.MeasureTheory.Group.Integral Mathlib.Probability.Integration Mathlib.MeasureTheory.Measure.WithDensityVectorMeasure Mathlib.Topology.ContinuousMap.Ideals Mathlib.MeasureTheory.Integral.Average Mathlib.Probability.Kernel.Integral Mathlib.LinearAlgebra.Matrix.HermitianFunctionalCalculus Mathlib.MeasureTheory.Function.ConditionalExpectation.Real Mathlib.Probability.Process.PartitionFiltration Mathlib.Probability.Notation Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps Mathlib.Probability.Martingale.Centering |
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19 filesMathlib.MeasureTheory.Measure.Lebesgue.Complex Mathlib.Analysis.BoxIntegral.Partition.Measure Mathlib.MeasureTheory.Measure.Lebesgue.EqHaar Mathlib.MeasureTheory.Measure.Hausdorff Mathlib.MeasureTheory.Function.AEEqFun.DomAct Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace Mathlib.MeasureTheory.Constructions.UnitInterval Mathlib.NumberTheory.Liouville.Measure Mathlib.Geometry.Manifold.Sheaf.Smooth Mathlib.Analysis.BoxIntegral.Basic Mathlib.Analysis.Complex.Tietze Mathlib.Analysis.Convex.Measure Mathlib.Analysis.Normed.Lp.LpEquiv Mathlib.Topology.MetricSpace.HausdorffDimension Mathlib.MeasureTheory.Measure.Lebesgue.Basic Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace Mathlib.Geometry.Manifold.Metrizable Mathlib.Analysis.BoxIntegral.DivergenceTheorem Mathlib.MeasureTheory.Measure.Haar.OfBasis |
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18 filesMathlib.MeasureTheory.Function.LpSeminorm.Basic Mathlib.MeasureTheory.Function.LpSeminorm.Trim Mathlib.Topology.MetricSpace.GromovHausdorffRealized Mathlib.MeasureTheory.Function.LpSeminorm.TriangleInequality Mathlib.Topology.ContinuousMap.BoundedCompactlySupported Mathlib.Topology.UrysohnsBounded Mathlib.Topology.Metrizable.Urysohn Mathlib.MeasureTheory.Measure.HasOuterApproxClosed Mathlib.Topology.ContinuousMap.Bounded Mathlib.MeasureTheory.Function.LpSeminorm.ChebyshevMarkov Mathlib.Analysis.Normed.Group.ZeroAtInfty Mathlib.Topology.TietzeExtension Mathlib.Topology.ContinuousMap.Units Mathlib.Topology.MetricSpace.ThickenedIndicator Mathlib.MeasureTheory.Function.LpSeminorm.CompareExp Mathlib.Topology.Separation.NotNormal Mathlib.Topology.ContinuousMap.CompactlySupported Mathlib.Topology.ContinuousMap.ZeroAtInfty |
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Mathlib.NumberTheory.Liouville.Residual |
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8 filesMathlib.Topology.ContinuousMap.Polynomial Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unital Mathlib.Topology.MetricSpace.PartitionOfUnity Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Unitary Mathlib.Topology.PartitionOfUnity Mathlib.Dynamics.Ergodic.Function Mathlib.MeasureTheory.Function.AEEqFun Mathlib.Analysis.Convex.PartitionOfUnity |
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10 filesMathlib.Geometry.Manifold.PoincareConjecture Mathlib.Analysis.Complex.UpperHalfPlane.Topology Mathlib.Analysis.Complex.UpperHalfPlane.Metric Mathlib.MeasureTheory.Function.StronglyMeasurable.Inner Mathlib.Analysis.Complex.UpperHalfPlane.Manifold Mathlib.Probability.Distributions.Poisson Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence Mathlib.NumberTheory.ModularForms.Basic Mathlib.NumberTheory.ModularForms.EisensteinSeries.IsBoundedAtImInfty Mathlib.Topology.MetricSpace.Kuratowski |
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4 filesMathlib.MeasureTheory.Function.SpecialFunctions.RCLike Mathlib.NumberTheory.Harmonic.EulerMascheroni Mathlib.Analysis.Calculus.LineDeriv.Measurable Mathlib.MeasureTheory.Function.SpecialFunctions.Inner |
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121 filesMathlib.NumberTheory.Liouville.LiouvilleWith Mathlib.Analysis.InnerProductSpace.Symmetric Mathlib.Analysis.InnerProductSpace.OfNorm Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv Mathlib.Analysis.NormedSpace.HahnBanach.SeparatingDual Mathlib.Analysis.Complex.Angle Mathlib.Analysis.Normed.Module.Dual Mathlib.Analysis.Calculus.Deriv.Abs Mathlib.Analysis.CStarAlgebra.Multiplier Mathlib.Analysis.SpecialFunctions.Trigonometric.Bounds Mathlib.Tactic.FunProp.ContDiff Mathlib.MeasureTheory.Function.SpecialFunctions.Basic Mathlib.Combinatorics.Derangements.Exponential Mathlib.Analysis.Calculus.FDeriv.WithLp Mathlib.Analysis.InnerProductSpace.ProdL2 Mathlib.Geometry.Manifold.Instances.Real Mathlib.Analysis.SpecialFunctions.Trigonometric.ComplexDeriv Mathlib.NumberTheory.Liouville.LiouvilleNumber Mathlib.Analysis.RCLike.Lemmas Mathlib.Analysis.RCLike.Inner Mathlib.Analysis.Convex.GaugeRescale Mathlib.Analysis.SpecialFunctions.Log.NegMulLog Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots Mathlib.NumberTheory.SiegelsLemma Mathlib.RingTheory.Polynomial.Hermite.Gaussian Mathlib.Analysis.Calculus.SmoothSeries Mathlib.Analysis.Calculus.InverseFunctionTheorem.ContDiff Mathlib.Analysis.InnerProductSpace.NormPow Mathlib.Analysis.Calculus.MeanValue Mathlib.Analysis.Normed.Algebra.QuaternionExponential Mathlib.Computability.AkraBazzi.AkraBazzi Mathlib.Analysis.Normed.Algebra.MatrixExponential Mathlib.Analysis.Calculus.Taylor Mathlib.Analysis.Calculus.LHopital Mathlib.Analysis.Convex.Cone.Pointed Mathlib.Analysis.Calculus.FDeriv.Measurable Mathlib.Analysis.Calculus.UniformLimitsDeriv Mathlib.Analysis.Calculus.FDeriv.Extend Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho Mathlib.NumberTheory.Cyclotomic.Gal Mathlib.NumberTheory.LSeries.Basic Mathlib.Geometry.Euclidean.Sphere.Power Mathlib.Analysis.SpecialFunctions.Pow.Deriv Mathlib.RingTheory.LittleWedderburn Mathlib.Analysis.InnerProductSpace.Basic Mathlib.Analysis.PSeriesComplex Mathlib.Geometry.Euclidean.Circumcenter Mathlib.Geometry.Euclidean.Inversion.Calculus Mathlib.Geometry.Euclidean.Sphere.SecondInter Mathlib.Geometry.Euclidean.Basic Mathlib.Analysis.Analytic.RadiusLiminf Mathlib.Analysis.InnerProductSpace.Orthogonal Mathlib.Geometry.Euclidean.MongePoint Mathlib.Topology.CWComplex Mathlib.Geometry.Euclidean.Sphere.Basic Mathlib.Geometry.Euclidean.Angle.Unoriented.RightAngle Mathlib.Analysis.InnerProductSpace.Projection Mathlib.Geometry.Euclidean.Angle.Unoriented.Basic Mathlib.Geometry.Euclidean.Angle.Unoriented.Conformal Mathlib.Analysis.Convex.Strong Mathlib.Analysis.SpecialFunctions.BinaryEntropy Mathlib.Analysis.SpecialFunctions.SmoothTransition Mathlib.Analysis.Quaternion Mathlib.Analysis.Normed.Algebra.Exponential Mathlib.Analysis.InnerProductSpace.Calculus Mathlib.Topology.Category.TopCat.Sphere Mathlib.Analysis.SpecialFunctions.Exponential Mathlib.Analysis.Calculus.FDeriv.Norm Mathlib.Combinatorics.Additive.AP.Three.Behrend Mathlib.Analysis.NormedSpace.HahnBanach.Extension Mathlib.Analysis.InnerProductSpace.MeanErgodic Mathlib.Analysis.InnerProductSpace.EuclideanDist Mathlib.Analysis.SpecialFunctions.Log.Deriv Mathlib.Analysis.InnerProductSpace.PiL2 Mathlib.Geometry.Euclidean.Inversion.ImageHyperplane Mathlib.Analysis.Complex.Conformal Mathlib.NumberTheory.Liouville.Basic Mathlib.Data.Real.Pi.Bounds Mathlib.Analysis.Normed.Operator.WeakOperatorTopology Mathlib.Analysis.SpecialFunctions.OrdinaryHypergeometric Mathlib.Analysis.NormedSpace.DualNumber Mathlib.MeasureTheory.Integral.MeanInequalities Mathlib.Analysis.Calculus.ContDiff.RCLike Mathlib.Analysis.ODE.Gronwall Mathlib.LinearAlgebra.Matrix.Hermitian Mathlib.Analysis.Convex.Deriv Mathlib.Analysis.CStarAlgebra.Exponential Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine Mathlib.Analysis.SpecialFunctions.Arsinh Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas Mathlib.Tactic.FunProp.Differentiable Mathlib.Analysis.Matrix Mathlib.Analysis.Calculus.Conformal.InnerProduct Mathlib.RingTheory.Polynomial.Cyclotomic.Eval Mathlib.Analysis.Complex.Arg Mathlib.Analysis.Convex.Cone.InnerDual Mathlib.NumberTheory.PrimesCongruentOne Mathlib.NumberTheory.LSeries.Convergence Mathlib.Analysis.Convex.Cone.Closure Mathlib.Analysis.SpecialFunctions.Trigonometric.InverseDeriv Mathlib.Analysis.Calculus.BumpFunction.InnerProduct Mathlib.Analysis.InnerProductSpace.l2Space Mathlib.NumberTheory.LSeries.Linearity Mathlib.Analysis.Convex.SpecificFunctions.Deriv Mathlib.Analysis.Normed.Module.WeakDual Mathlib.Analysis.Calculus.FDeriv.Symmetric Mathlib.Geometry.Euclidean.Inversion.Basic Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv Mathlib.Analysis.SpecialFunctions.ExpDeriv Mathlib.Analysis.Complex.RealDeriv Mathlib.Analysis.InnerProductSpace.ConformalLinearMap Mathlib.Analysis.SpecialFunctions.Trigonometric.ArctanDeriv Mathlib.Analysis.InnerProductSpace.Orientation Mathlib.Geometry.Euclidean.PerpBisector Mathlib.NumberTheory.Bertrand Mathlib.NumberTheory.LSeries.Convolution Mathlib.Analysis.SpecialFunctions.Trigonometric.Series Mathlib.Analysis.Normed.Algebra.TrivSqZeroExt Mathlib.Data.Complex.ExponentialBounds Mathlib.Analysis.Calculus.ContDiff.WithLp Mathlib.Geometry.Manifold.Instances.Sphere |
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96 filesMathlib.Analysis.InnerProductSpace.Spectrum Mathlib.Analysis.Calculus.Deriv.Inv Mathlib.Geometry.Manifold.ContMDiff.Atlas Mathlib.Geometry.Manifold.VectorBundle.Pullback Mathlib.LinearAlgebra.Matrix.PosDef Mathlib.Analysis.InnerProductSpace.Rayleigh Mathlib.Analysis.Analytic.OfScalars Mathlib.Geometry.Manifold.VectorBundle.Basic Mathlib.Geometry.Manifold.VectorBundle.Tangent Mathlib.Geometry.Manifold.Diffeomorph Mathlib.Analysis.InnerProductSpace.WeakOperatorTopology Mathlib.Geometry.Manifold.MFDeriv.Basic Mathlib.Geometry.Manifold.MFDeriv.FDeriv Mathlib.Geometry.Manifold.ContMDiffMap Mathlib.Geometry.Manifold.MFDeriv.SpecificFunctions Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas Mathlib.Analysis.Calculus.AddTorsor.AffineMap Mathlib.Analysis.Calculus.FDeriv.Analytic Mathlib.Analysis.Calculus.BumpFunction.Basic Mathlib.Analysis.InnerProductSpace.Dual Mathlib.Analysis.Calculus.AddTorsor.Coord Mathlib.Analysis.Calculus.Deriv.Polynomial Mathlib.Analysis.CStarAlgebra.Matrix Mathlib.Analysis.Calculus.LineDeriv.QuadraticMap Mathlib.Geometry.Euclidean.Angle.Oriented.Basic Mathlib.Analysis.Calculus.Deriv.Pow Mathlib.Geometry.Euclidean.Sphere.Ptolemy Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp Mathlib.Geometry.Manifold.SmoothManifoldWithCorners Mathlib.Geometry.Manifold.InteriorBoundary Mathlib.Geometry.Manifold.ContMDiffMFDeriv Mathlib.Geometry.Manifold.ContMDiff.Basic Mathlib.Analysis.Analytic.ChangeOrigin Mathlib.Analysis.InnerProductSpace.JointEigenspace Mathlib.Geometry.Euclidean.Angle.Sphere Mathlib.Analysis.InnerProductSpace.LinearPMap Mathlib.Geometry.Manifold.MFDeriv.UniqueDifferential Mathlib.Analysis.Calculus.Deriv.ZPow Mathlib.MeasureTheory.Function.SpecialFunctions.Arctan Mathlib.Analysis.Calculus.DiffContOnCl Mathlib.Geometry.Manifold.Algebra.SmoothFunctions Mathlib.Analysis.InnerProductSpace.Positive Mathlib.Geometry.Manifold.VectorBundle.Hom Mathlib.Analysis.Calculus.ContDiff.Bounds Mathlib.Analysis.Calculus.ContDiff.Basic Mathlib.Analysis.Calculus.Deriv.Mul Mathlib.Analysis.Analytic.Meromorphic Mathlib.Analysis.Calculus.LocalExtr.Polynomial Mathlib.Geometry.Euclidean.Angle.Oriented.RightAngle Mathlib.Analysis.Calculus.Darboux Mathlib.Analysis.Analytic.Linear Mathlib.Analysis.Calculus.LineDeriv.Basic Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation Mathlib.Geometry.Manifold.MFDeriv.Defs Mathlib.Analysis.Analytic.Constructions Mathlib.Geometry.Manifold.Instances.UnitsOfNormedAlgebra Mathlib.Geometry.Manifold.ContMDiff.Defs Mathlib.Analysis.Analytic.Composition Mathlib.Analysis.Calculus.FDeriv.Mul Mathlib.Analysis.Calculus.ContDiff.FiniteDimension Mathlib.LinearAlgebra.Matrix.LDL Mathlib.Geometry.Manifold.MFDeriv.Tangent Mathlib.LinearAlgebra.Matrix.SchurComplement Mathlib.Analysis.Analytic.Basic Mathlib.Analysis.Analytic.Uniqueness Mathlib.Geometry.Manifold.Algebra.Monoid Mathlib.Geometry.Manifold.Algebra.Structures Mathlib.Geometry.Manifold.MFDeriv.Atlas Mathlib.Geometry.Manifold.Algebra.LieGroup Mathlib.Combinatorics.SimpleGraph.LapMatrix Mathlib.Analysis.Analytic.CPolynomial Mathlib.Analysis.InnerProductSpace.Adjoint Mathlib.Analysis.Convex.Cone.Proper Mathlib.Analysis.Calculus.Gradient.Basic Mathlib.Analysis.Analytic.Within Mathlib.LinearAlgebra.Matrix.Spectrum Mathlib.Geometry.Manifold.AnalyticManifold Mathlib.Analysis.Analytic.IsolatedZeros Mathlib.Geometry.Manifold.ContMDiff.NormedSpace Mathlib.Analysis.VonNeumannAlgebra.Basic Mathlib.Geometry.Manifold.VectorBundle.FiberwiseLinear Mathlib.Analysis.Analytic.Inverse Mathlib.Geometry.Euclidean.Triangle Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation Mathlib.Geometry.Manifold.DerivationBundle Mathlib.Analysis.Calculus.Dslope Mathlib.Analysis.Calculus.LogDeriv Mathlib.Analysis.Analytic.Polynomial Mathlib.Geometry.Manifold.LocalDiffeomorph Mathlib.Geometry.Euclidean.Angle.Oriented.Affine Mathlib.Analysis.Calculus.LocalExtr.LineDeriv Mathlib.Analysis.SpecialFunctions.Sqrt Mathlib.Analysis.InnerProductSpace.TwoDim Mathlib.Geometry.Manifold.VectorBundle.SmoothSection Mathlib.Geometry.Manifold.ContMDiff.Product Mathlib.Analysis.InnerProductSpace.LaxMilgram |
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117 filesMathlib.Analysis.MeanInequalitiesPow Mathlib.Combinatorics.SimpleGraph.Triangle.Removal Mathlib.Analysis.Calculus.Deriv.Pi Mathlib.Dynamics.TopologicalEntropy.NetEntropy Mathlib.Analysis.Convex.AmpleSet Mathlib.NumberTheory.MulChar.Lemmas Mathlib.Analysis.SpecialFunctions.Pow.Complex Mathlib.Analysis.Calculus.Deriv.Star Mathlib.Analysis.Normed.Lp.PiLp Mathlib.Analysis.Calculus.Deriv.Add Mathlib.Analysis.SpecialFunctions.CompareExp Mathlib.Combinatorics.Additive.Corner.Roth Mathlib.Analysis.SpecialFunctions.Complex.Log Mathlib.Analysis.Calculus.FDeriv.Linear Mathlib.Analysis.Normed.Module.FiniteDimension Mathlib.Analysis.Convex.Side Mathlib.Topology.VectorBundle.Hom Mathlib.Analysis.Normed.Algebra.Norm Mathlib.Computability.AkraBazzi.GrowsPolynomially Mathlib.Analysis.NormedSpace.RCLike Mathlib.Analysis.SpecialFunctions.Trigonometric.Arctan Mathlib.Analysis.Calculus.FDeriv.Star Mathlib.Analysis.Calculus.FDeriv.Bilinear Mathlib.Analysis.Calculus.Deriv.Linear Mathlib.NumberTheory.SumPrimeReciprocals Mathlib.Analysis.PSeries Mathlib.Analysis.Calculus.FDeriv.Add Mathlib.Analysis.Convex.Intrinsic Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries Mathlib.Analysis.Normed.Algebra.Unitization Mathlib.Analysis.SpecialFunctions.Pow.Continuity Mathlib.Analysis.Calculus.FDeriv.Basic Mathlib.Analysis.Calculus.FDeriv.Pi Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree Mathlib.Combinatorics.SimpleGraph.Regularity.Increment Mathlib.Analysis.LocallyConvex.WeakSpace Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv Mathlib.Analysis.SpecificLimits.FloorPow Mathlib.Analysis.Normed.Lp.ProdLp Mathlib.Analysis.LocallyConvex.AbsConvex Mathlib.Analysis.Normed.Ring.SeminormFromConst Mathlib.Analysis.Convex.StrictConvexSpace Mathlib.Analysis.Calculus.ContDiff.Defs Mathlib.Analysis.SpecialFunctions.Log.Base Mathlib.Analysis.Convex.SpecificFunctions.Pow Mathlib.Analysis.Normed.Lp.lpSpace Mathlib.Analysis.Normed.Ring.Seminorm Mathlib.Analysis.Complex.OperatorNorm Mathlib.Analysis.Calculus.LagrangeMultipliers Mathlib.RingTheory.Polynomial.Cyclotomic.Basic Mathlib.Analysis.Calculus.Deriv.Basic Mathlib.Analysis.NormedSpace.OperatorNorm.Asymptotics Mathlib.RingTheory.Polynomial.Cyclotomic.Roots Mathlib.Analysis.SpecialFunctions.Complex.Arg Mathlib.Analysis.CStarAlgebra.Unitization Mathlib.LinearAlgebra.QuadraticForm.Complex Mathlib.Analysis.Calculus.InverseFunctionTheorem.FiniteDimensional Mathlib.NumberTheory.Ostrowski Mathlib.MeasureTheory.Measure.Doubling Mathlib.Analysis.MeanInequalities Mathlib.Analysis.Normed.Ring.SeminormFromBounded Mathlib.Geometry.Manifold.ConformalGroupoid Mathlib.Analysis.Calculus.Deriv.Prod Mathlib.Analysis.Calculus.Conformal.NormedSpace Mathlib.Analysis.SpecialFunctions.Trigonometric.Complex Mathlib.Analysis.Calculus.FDeriv.RestrictScalars Mathlib.Analysis.Convex.KreinMilman Mathlib.NumberTheory.ClassNumber.Finite Mathlib.Analysis.Calculus.IteratedDeriv.Defs Mathlib.Analysis.Calculus.Deriv.Shift Mathlib.Analysis.Convex.Normed Mathlib.Analysis.Calculus.Deriv.Inverse Mathlib.Analysis.Convex.Continuous Mathlib.RingTheory.RootsOfUnity.Complex Mathlib.Analysis.SpecialFunctions.Log.Monotone Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics Mathlib.Topology.MetricSpace.Holder Mathlib.Analysis.Calculus.FDeriv.Prod Mathlib.Analysis.NormedSpace.HahnBanach.Separation Mathlib.Analysis.Calculus.Deriv.Comp Mathlib.Analysis.Normed.Affine.AddTorsorBases Mathlib.Combinatorics.SimpleGraph.Regularity.Chunk Mathlib.NumberTheory.ClassNumber.FunctionField Mathlib.Topology.VectorBundle.Constructions Mathlib.RingTheory.Polynomial.Cyclotomic.Expand Mathlib.Topology.VectorBundle.Basic Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn Mathlib.Analysis.Calculus.Implicit Mathlib.Analysis.Calculus.Deriv.AffineMap Mathlib.Analysis.NormedSpace.Extend Mathlib.NumberTheory.Cyclotomic.Basic Mathlib.Topology.MetricSpace.HolderNorm Mathlib.Analysis.Normed.Operator.BoundedLinearMaps Mathlib.Analysis.Convex.Uniform Mathlib.Analysis.SpecialFunctions.Pow.Real Mathlib.Dynamics.TopologicalEntropy.Semiconj Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle Mathlib.Analysis.Calculus.Deriv.Support Mathlib.Analysis.Calculus.InverseFunctionTheorem.Deriv Mathlib.Analysis.Normed.Ring.IsPowMulFaithful Mathlib.Analysis.Calculus.FDeriv.Comp Mathlib.Algebra.Order.CompleteField Mathlib.Combinatorics.SimpleGraph.Regularity.Bound Mathlib.Analysis.Calculus.LocalExtr.Basic Mathlib.Analysis.Calculus.FDeriv.Equiv Mathlib.Dynamics.TopologicalEntropy.CoverEntropy Mathlib.Analysis.Convex.StrictConvexBetween Mathlib.Analysis.SpecialFunctions.Complex.Circle Mathlib.Combinatorics.SimpleGraph.Regularity.Lemma Mathlib.Analysis.Calculus.Deriv.Slope Mathlib.Analysis.SpecialFunctions.Pow.NNReal Mathlib.Analysis.Convex.SpecificFunctions.Basic Mathlib.Analysis.Calculus.LocalExtr.Rolle Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral 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43 filesMathlib.Topology.Category.LightProfinite.EffectiveEpi Mathlib.Analysis.NormedSpace.OperatorNorm.Basic Mathlib.Condensed.Discrete.Basic Mathlib.Condensed.Light.Explicit Mathlib.Topology.Category.LightProfinite.Extend Mathlib.Analysis.Calculus.FormalMultilinearSeries Mathlib.Condensed.Discrete.Characterization Mathlib.Condensed.Light.CartesianClosed Mathlib.Analysis.LocallyConvex.Barrelled Mathlib.Analysis.Normed.Operator.BanachSteinhaus Mathlib.Condensed.Light.TopComparison Mathlib.Condensed.Light.TopCatAdjunction Mathlib.Analysis.NormedSpace.OperatorNorm.Bilinear Mathlib.Condensed.Discrete.LocallyConstant Mathlib.Analysis.LocallyConvex.WeakDual Mathlib.Topology.Category.LightProfinite.AsLimit Mathlib.Condensed.Discrete.Module Mathlib.Topology.Category.LightProfinite.Limits Mathlib.Analysis.NormedSpace.OperatorNorm.Mul Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace Mathlib.Condensed.Light.Epi Mathlib.Analysis.NormedSpace.Multilinear.Curry Mathlib.Analysis.Normed.Operator.Banach Mathlib.Analysis.Normed.Group.AddCircle Mathlib.Condensed.Light.Limits Mathlib.Condensed.Discrete.Colimit Mathlib.Analysis.NormedSpace.PiTensorProduct.InjectiveSeminorm Mathlib.Topology.Category.LightProfinite.Basic Mathlib.Analysis.NormedSpace.OperatorNorm.NNNorm Mathlib.Analysis.Convex.Gauge Mathlib.Topology.Category.LightProfinite.Sequence Mathlib.Analysis.NormedSpace.OperatorNorm.Completeness Mathlib.Condensed.Light.Basic Mathlib.Condensed.Light.Module Mathlib.Analysis.NormedSpace.PiTensorProduct.ProjectiveSeminorm Mathlib.Analysis.LocallyConvex.WithSeminorms Mathlib.Analysis.Normed.Module.Complemented Mathlib.Analysis.NormedSpace.OperatorNorm.Prod Mathlib.Condensed.Light.Functors Mathlib.Analysis.NormedSpace.Connected Mathlib.Analysis.NormedSpace.Multilinear.Basic Mathlib.Analysis.Normed.Affine.ContinuousAffineMap Mathlib.Analysis.Normed.Module.Completion |
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4 filesMathlib.Analysis.LocallyConvex.StrongTopology Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse Mathlib.Topology.Algebra.ProperAction.ProperlyDiscontinuous Mathlib.Topology.Maps.Proper.CompactlyGenerated |
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14 filesMathlib.Analysis.Complex.Isometry Mathlib.Analysis.Complex.UnitDisc.Basic Mathlib.Analysis.SpecialFunctions.Exp Mathlib.Analysis.Complex.Circle Mathlib.Analysis.SpecialFunctions.PolynomialExp Mathlib.Analysis.Calculus.TangentCone Mathlib.Analysis.Complex.Asymptotics Mathlib.Analysis.Complex.UpperHalfPlane.FunctionsBoundedAtInfty Mathlib.Analysis.SpecialFunctions.Log.Basic Mathlib.Analysis.SpecialFunctions.Trigonometric.Cotangent Mathlib.NumberTheory.VonMangoldt Mathlib.Analysis.Complex.UpperHalfPlane.Exp Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic Mathlib.Analysis.Complex.AbelLimit |
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22 filesMathlib.Topology.Category.Stonean.Adjunctions Mathlib.Topology.Category.Stonean.EffectiveEpi Mathlib.Topology.Category.Profinite.CofilteredLimit Mathlib.Topology.Category.Profinite.Nobeling Mathlib.Topology.Germ Mathlib.Condensed.Explicit Mathlib.Topology.Category.Profinite.EffectiveEpi Mathlib.Topology.Category.Profinite.AsLimit Mathlib.Condensed.Solid Mathlib.Topology.Category.Profinite.Projective Mathlib.Topology.Category.Profinite.Basic Mathlib.MeasureTheory.Constructions.BorelSpace.Complex Mathlib.Topology.Category.Compactum Mathlib.Topology.Category.Profinite.Extend Mathlib.Topology.Category.Stonean.Basic Mathlib.Condensed.Epi Mathlib.Condensed.Functors Mathlib.Condensed.Equivalence Mathlib.Topology.Category.Profinite.Product Mathlib.Topology.Category.Profinite.Limits Mathlib.MeasureTheory.Measure.Complex Mathlib.Topology.Category.Stonean.Limits |
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48 filesMathlib.Analysis.Asymptotics.SpecificAsymptotics Mathlib.Probability.Distributions.Geometric Mathlib.Analysis.Asymptotics.AsymptoticEquivalent Mathlib.Analysis.Complex.HalfPlane Mathlib.NumberTheory.ModularForms.Identities Mathlib.NumberTheory.ModularForms.SlashActions Mathlib.NumberTheory.Zsqrtd.QuadraticReciprocity Mathlib.Analysis.Complex.Basic Mathlib.NumberTheory.EulerProduct.Basic Mathlib.NumberTheory.ModularForms.SlashInvariantForms Mathlib.Analysis.Normed.Group.Tannery Mathlib.Analysis.Complex.IsIntegral Mathlib.Order.Filter.ZeroAndBoundedAtFilter Mathlib.Topology.Algebra.Module.Alternating.Topology Mathlib.Analysis.Complex.ReImTopology Mathlib.LinearAlgebra.QuadraticForm.Real Mathlib.Analysis.SpecialFunctions.Polynomials Mathlib.MeasureTheory.Integral.LebesgueNormedSpace Mathlib.Condensed.TopCatAdjunction Mathlib.Probability.Kernel.Disintegration.MeasurableStieltjes Mathlib.NumberTheory.SumTwoSquares Mathlib.Topology.Category.CompactlyGenerated Mathlib.Topology.Algebra.Module.StrongTopology Mathlib.Analysis.RCLike.Basic Mathlib.Topology.Instances.Complex Mathlib.Analysis.Normed.Ring.Units Mathlib.Analysis.CStarAlgebra.Basic Mathlib.Analysis.SpecificLimits.Normed Mathlib.NumberTheory.Modular Mathlib.Analysis.NormedSpace.HomeomorphBall Mathlib.Topology.Compactness.CompactlyGeneratedSpace Mathlib.Analysis.Asymptotics.Theta Mathlib.MeasureTheory.Function.Egorov Mathlib.Analysis.Complex.Convex Mathlib.Topology.Category.Locale Mathlib.Analysis.Complex.UpperHalfPlane.Basic Mathlib.NumberTheory.ModularForms.EisensteinSeries.Defs Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic Mathlib.Analysis.LocallyConvex.ContinuousOfBounded Mathlib.Order.Category.Frm Mathlib.Topology.Algebra.Module.Multilinear.Topology Mathlib.Analysis.Normed.Group.ControlledClosure Mathlib.Analysis.Normed.Operator.Compact Mathlib.Dynamics.BirkhoffSum.NormedSpace Mathlib.Analysis.SpecificLimits.RCLike Mathlib.MeasureTheory.Measure.EverywherePos Mathlib.Topology.Algebra.Module.Cardinality Mathlib.Topology.Order.Category.FrameAdjunction |
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9 filesMathlib.Topology.Category.CompHaus.EffectiveEpi Mathlib.Topology.Algebra.Module.UniformConvergence Mathlib.Condensed.Limits Mathlib.Condensed.TopComparison Mathlib.Condensed.Module Mathlib.Condensed.Basic Mathlib.Condensed.CartesianClosed Mathlib.Analysis.Asymptotics.SuperpolynomialDecay Mathlib.Analysis.Asymptotics.Asymptotics |
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37 filesMathlib.NumberTheory.Padics.PadicIntegers Mathlib.Analysis.LocallyConvex.Bounded Mathlib.RingTheory.WittVector.Compare Mathlib.Analysis.Seminorm Mathlib.Analysis.Convex.Body Mathlib.Analysis.NormedSpace.RieszLemma Mathlib.Analysis.Normed.Affine.Isometry Mathlib.Topology.Algebra.Valued.NormedValued Mathlib.Topology.Algebra.Module.FiniteDimension Mathlib.Topology.CompletelyRegular Mathlib.Analysis.LocallyConvex.Basic Mathlib.Analysis.Normed.Module.Span Mathlib.Analysis.Normed.Affine.MazurUlam Mathlib.Analysis.Normed.Group.SemiNormedGrp.Kernels Mathlib.Analysis.Normed.Group.Quotient Mathlib.Topology.Category.CompHaus.Basic Mathlib.Topology.Category.CompHaus.Projective Mathlib.Analysis.NormedSpace.ConformalLinearMap Mathlib.NumberTheory.LegendreSymbol.GaussEisensteinLemmas Mathlib.Topology.Category.CompHaus.Limits Mathlib.Analysis.NormedSpace.Extr Mathlib.Topology.UrysohnsLemma Mathlib.Analysis.Convex.EGauge Mathlib.Topology.Algebra.Polynomial Mathlib.NumberTheory.Padics.RingHoms Mathlib.Analysis.NormedSpace.ENorm Mathlib.Analysis.Normed.Affine.AddTorsor Mathlib.Topology.Algebra.Module.Multilinear.Bounded Mathlib.Analysis.Normed.Module.Basic Mathlib.NumberTheory.Padics.Hensel Mathlib.Analysis.Normed.Module.Ray Mathlib.Analysis.NormedSpace.Real Mathlib.Analysis.NormedSpace.BallAction Mathlib.NumberTheory.Padics.ProperSpace Mathlib.Analysis.LocallyConvex.BalancedCoreHull Mathlib.Analysis.NormedSpace.SphereNormEquiv Mathlib.Analysis.NormedSpace.Pointwise |
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12 filesMathlib.Topology.Bornology.BoundedOperation Mathlib.NumberTheory.Padics.PadicNumbers Mathlib.Analysis.Normed.Order.UpperLower Mathlib.Analysis.Normed.Group.Completeness Mathlib.Analysis.Normed.Field.UnitBall Mathlib.NumberTheory.Harmonic.Int Mathlib.Analysis.Normed.Order.Basic Mathlib.Analysis.NormedSpace.Int Mathlib.Analysis.Normed.Field.ProperSpace Mathlib.Analysis.Normed.Group.Pointwise Mathlib.Analysis.Normed.Field.Lemmas Mathlib.Analysis.Normed.Field.InfiniteSum |
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Declarations diff
+ eq_of_inseparable
+ inner_eq_zero_of_left
+ inner_nullSubmodule_right_eq_zero
+ inseparable_iff_norm_zero
+ instance : Nonempty (@nullSubgroup M _) := ⟨0⟩
+ isClosed_nullSubgroup
+ isClosed_nullSubmodule
+ ker_normedMk
+ liftCLM
+ liftCLM_apply
+ liftContinuousCommMonoidHom_apply
+ liftContinuousMonoidHom
+ liftNormedAddGroupHom
+ liftNormedAddGroupHom_apply
+ liftNormedAddGroupHom_normNoninc
+ liftNormedAddGroupHom_norm_le
+ liftNormedAddGroupHom_unique
+ mem_nullSubmodule_iff
+ mkGroupHom
+ mk_eq_zero_iff
+ nhds_eq
+ norm_liftNormedAddGroupHom_apply_le
+ norm_liftNormedAddGroupHom_le
+ norm_normedMk
+ norm_normedMk_le
+ norm_sub_eq_norm
+ norm_trivial_separationQuotient_mk
+ normedMk
+ normedMk.apply
+ nullSubgroup
+ nullSubmodule
+ nullSubmodule_le_ker_toDualMap
+ nullSubmodule_le_ker_toDualMap'
+ quotient_norm_eq_zero_iff
+ surjective_normedMk
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for script/declarations_diff.sh contains some details about this script.
eric-wieser
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Sep 11, 2024
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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InnerProductSpace.Core by the null spaceInnerProductSpace by the null space
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…ddCommGroup` (#17007) replace the assumption `NormedAddCommGroup` to `SemiNormedAddCommGroup` in various places. motivation: with the weakened assumption the results apply to `InnerProductSpace` without `definite` assumption. This is suggested in #16707, and continues from #14024. Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
j-loreaux
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I suspect that this is not the way to proceed here. Instead, I recommend using SeparationQuotient.
If we don't already have it, you could show that if X is a Seminormed* then SeparationQuotient X is a Normed*. Then you could define the inner product space isntance on SeparationQuotient X.
The problem with putting this InnerProductSpace instance on E / nullSpace \bbk E is that we could end up with non-defeq instances later down the line. Moreover, SeparationQuotient does almost exactly what you want already, it just doesn't have the necessary instances yet.
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@j-loreaux If I use |
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Yes, it is certainly different, and you'll need to define the norm again, assuming the instance doesn't already exist. But I think this is the cleaner approach. |
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The only thing I suggest here that may require action is to include a few more docstrings on some of the lift lemmas you proved, but on this (and everything else) I defer to more experienced reviewers.
(Thanks, Yoh, for trying to building infrastructure that can be used for GNS!!!)
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@yoh-tanimoto I have no idea what the status of this PR is. Should it be awaiting review? Are you going to split it into other pieces? |
Co-authored-by: Eric Wieser <efw@google.com>
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@j-loreaux I am not sure which lifts should be defined and how. I know that there is The part of this PR concerning |
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I'm fine with all of this, but I am not sensitive enough to the right design parameters so defer to @eric-wieser and @j-loreaux on all the points.
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Define the null submodule in an
InnerProductSpace, define lift ofNormedAddMonoidHomby the quotient by inseparable setoid and prove various lemmas.Define the null space in anThis PR defined first an instance ofInnerProductSpacewithoutdefiniteand addInnerProduceSpacestructure to the quotient by the null space.InnerProductSpaceonSeparationQuotient, but this was done in #17452 and now contains some other things.Motivation: in many application such as the GNS construction, one first constructs an
InnerProductSpacethen quotients it by the null space. This file realizes this latter passage.Probably many basic lemmas are missing. I'm also not sure how to define various lifts and their relations. Please tell me in comments.
SeminormedAddCommGroup#17007Normedinstances for SeparationQuotient #17452