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openAI-math-dataset

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Tags:
mathematics
mirror
lean
formal-proofs
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openAI-math-dataset
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import OAI.Geometry.IsometricImmersion.Darboux.Drift
import OAI.Geometry.IsometricImmersion.Caps.EnergyCauchySchwarz
import OAI.Geometry.IsometricImmersion.Immersions.FiniteHeight
import OAI.Geometry.IsometricImmersion.Energy.FiniteProductL2
import OAI.Geometry.IsometricImmersion.Calculus.CoordinateDerivatives
import OAI.Geometry.IsometricImmersion.Estimates.HighFactorOrders
import OAI.Geometry.IsometricImmersion.Calculus.JointDerivative
import OAI.Geometry.IsometricImmersion.Energy.MultiplierAbsorption
import OAI.Geometry.IsometricImmersion.Immersions.NormalSpace
import OAI.Geometry.IsometricImmersion.Flows.Existence
import OAI.Geometry.IsometricImmersion.Immersions.RankOne2
import OAI.Geometry.IsometricImmersion.Energy.RectangleSobolevOne
import OAI.Geometry.IsometricImmersion.Coordinates.ShearSpeedBounds
import OAI.Geometry.IsometricImmersion.Calculus.SmoothCurry
import OAI.Geometry.IsometricImmersion.Taylor.TimeTaylorKernel
import OAI.Geometry.IsometricImmersion.Volterra.VolterraOperator
import OAI.Geometry.IsometricImmersion.Metric
import OAI.Geometry.IsometricImmersion.Darboux.DriftTransportAlgebra
import OAI.Geometry.IsometricImmersion.Energy.FiniteSumL2
import OAI.Geometry.IsometricImmersion.Calculus.QuotientCalculus
import OAI.Geometry.IsometricImmersion.Volterra.VolterraInverse
import OAI.Geometry.IsometricImmersion.Immersions.ActualHeight
import OAI.Geometry.IsometricImmersion.Curvature.CurvatureParameter
import OAI.Geometry.IsometricImmersion.Darboux.DriftBounds
import OAI.Geometry.IsometricImmersion.Immersions.InducedMetric
import OAI.Geometry.IsometricImmersion.LocalDomains
import OAI.Geometry.IsometricImmersion.Metrics.MetricSmoothness
import OAI.Geometry.IsometricImmersion.Metrics.ModelProfile
import OAI.Geometry.IsometricImmersion.Coordinates.OrientationNet
import OAI.Geometry.IsometricImmersion.Metrics.SmoothMetricRestriction
import OAI.Geometry.IsometricImmersion.Metrics.WarpedMetric
import OAI.Geometry.IsometricImmersion.Coordinates.AffinePullback
import OAI.Geometry.IsometricImmersion.Calculus.ExtremumHessian
import OAI.Geometry.IsometricImmersion.Curvature.GaussConnection
import OAI.Geometry.IsometricImmersion.Energy.HeightEnergy
import OAI.Geometry.IsometricImmersion.Calculus.HessianCommutator
import OAI.Geometry.IsometricImmersion.Calculus.NormedCoordinateCalculus
import OAI.Geometry.IsometricImmersion.Immersions.RankOneOrientation
import OAI.Geometry.IsometricImmersion.Volterra.VolterraDifferentiation
import OAI.Geometry.IsometricImmersion.Pulses.ActualForcingCoefficient
import OAI.Geometry.IsometricImmersion.Calculus.AffineHessian
import OAI.Geometry.IsometricImmersion.Coordinates.AffinePushforward
import OAI.Geometry.IsometricImmersion.Darboux.DarbouxJet
import OAI.Geometry.IsometricImmersion.Curvature.GaussFormula
import OAI.Geometry.IsometricImmersion.Metrics.MetricCompatibility
import OAI.Geometry.IsometricImmersion.Metrics.MetricLocality
import OAI.Geometry.IsometricImmersion.Volterra.VolterraParameterJets
import OAI.Geometry.IsometricImmersion.Volterra.VolterraPositive
import OAI.Geometry.IsometricImmersion.Energy.WeightedMultiplier
import OAI.Geometry.IsometricImmersion.Darboux.ActualDriftCoefficients
import OAI.Geometry.IsometricImmersion.Curvature.CurvatureParameterJets
import OAI.Geometry.IsometricImmersion.Darboux.DarbouxEquation
import OAI.Geometry.IsometricImmersion.Caps.EllipticCutoff
import OAI.Geometry.IsometricImmersion.Curvature.GaussEquation
import OAI.Geometry.IsometricImmersion.Immersions.HeightNorm
import OAI.Geometry.IsometricImmersion.Curvature.IntrinsicCurvature
import OAI.Geometry.IsometricImmersion.Calculus.MetricTwoJet
import OAI.Geometry.IsometricImmersion.Energy.MultiplierDivergence
import OAI.Geometry.IsometricImmersion.Immersions.NormalField
import OAI.Geometry.IsometricImmersion.Coordinates.PatchGeometry
import OAI.Geometry.IsometricImmersion.Calculus.QuotientLowRecurrence
import OAI.Geometry.IsometricImmersion.Curvature.AffineConnection
import OAI.Geometry.IsometricImmersion.Caps.EllipticCutoffEdge
import OAI.Geometry.IsometricImmersion.Darboux.HeightEquation
import OAI.Geometry.IsometricImmersion.Calculus.HessianTransport
import OAI.Geometry.IsometricImmersion.Curvature.MetricCurvatureJet
import OAI.Geometry.IsometricImmersion.Energy.MultiplierIntegral
import OAI.Geometry.IsometricImmersion.Calculus.NormalDerivative
import OAI.Geometry.IsometricImmersion.Calculus.QuotientLowBounds
import OAI.Geometry.IsometricImmersion.Darboux.SixVariableDarboux
import OAI.Geometry.IsometricImmersion.Darboux.TransverseCoefficient
import OAI.Geometry.IsometricImmersion.Volterra.VolterraJointSmooth
import OAI.Geometry.IsometricImmersion.Taylor.ActualDarbouxFaa
import OAI.Geometry.IsometricImmersion.Darboux.ActualDriftEquation
import OAI.Geometry.IsometricImmersion.Calculus.AffineCovariantHessian
import OAI.Geometry.IsometricImmersion.Curvature.AffineCurvature
import OAI.Geometry.IsometricImmersion.Immersions.BoundaryNormal
import OAI.Geometry.IsometricImmersion.Calculus.CoordinateJetBounds
import OAI.Geometry.IsometricImmersion.Darboux.CurvaturePrincipalPart
import OAI.Geometry.IsometricImmersion.Caps.EllipticEnergy
import OAI.Geometry.IsometricImmersion.Pulses.ForcingCoefficientSign
import OAI.Geometry.IsometricImmersion.Calculus.HessianQuotientLowBounds
import OAI.Geometry.IsometricImmersion.Energy.HyperbolicEnergyDensity
import OAI.Geometry.IsometricImmersion.Curvature.NegativeCurvatureHeight
import OAI.Geometry.IsometricImmersion.Energy.RectangleSobolev
import OAI.Geometry.IsometricImmersion.Calculus.SmoothMetricJet
import OAI.Geometry.IsometricImmersion.Calculus.StateJetSegment
import OAI.Geometry.IsometricImmersion.Volterra.VolterraGlue
import OAI.Geometry.IsometricImmersion.Energy.WeightPrimitive
import OAI.Geometry.IsometricImmersion.Taylor.ChainTermDerivative
import OAI.Geometry.IsometricImmersion.Immersions.CompactBoundaryExtremum
import OAI.Geometry.IsometricImmersion.Coordinates.CoordinateFirstBounds
import OAI.Geometry.IsometricImmersion.Calculus.CoordinateJetNorm
import OAI.Geometry.IsometricImmersion.Coordinates.CoordinateSwap
import OAI.Geometry.IsometricImmersion.Energy.DirectedBounds
import OAI.Geometry.IsometricImmersion.Caps.EllipticAbsorption
import OAI.Geometry.IsometricImmersion.Calculus.FinitePrimitive
import OAI.Geometry.IsometricImmersion.Flows.FlowExistence
import OAI.Geometry.IsometricImmersion.Obstructions.LocalAdmissibility
import OAI.Geometry.IsometricImmersion.Calculus.MetricInverseJetBounds
import OAI.Geometry.IsometricImmersion.Curvature.PrescribedCurvature
import OAI.Geometry.IsometricImmersion.Energy.RegionSobolev
import OAI.Geometry.IsometricImmersion.Coordinates.RoundDisk
import OAI.Geometry.IsometricImmersion.Metrics.UniversalMetricP
import OAI.Geometry.IsometricImmersion.Calculus.VerticalSliceJets
import OAI.Geometry.IsometricImmersion.Assembly.AccumulatingDisks
import OAI.Geometry.IsometricImmersion.Taylor.ChainResidual
import OAI.Geometry.IsometricImmersion.Flows.CompactParameterIntegral
import OAI.Geometry.IsometricImmersion.Energy.DirectedCoercivity
import OAI.Geometry.IsometricImmersion.Energy.DirectedCutoffBalance
import OAI.Geometry.IsometricImmersion.Obstructions.DiskBoundaryObstruction
import OAI.Geometry.IsometricImmersion.Caps.EllipticC1
import OAI.Geometry.IsometricImmersion.Caps.EllipticRatio
import OAI.Geometry.IsometricImmersion.Calculus.HessianJetBounds
import OAI.Geometry.IsometricImmersion.Metrics.MetricPBundleBounds
import OAI.Geometry.IsometricImmersion.Metrics.ModelMetric
import OAI.Geometry.IsometricImmersion.Flows.PicardFamily
import OAI.Geometry.IsometricImmersion.Darboux.SixVariableLinearization
import OAI.Geometry.IsometricImmersion.Darboux.SwappedDarboux
import OAI.Geometry.IsometricImmersion.Energy.WeightPrimitiveParameter
import OAI.Geometry.IsometricImmersion.Caps.CapFlow
import OAI.Geometry.IsometricImmersion.Curvature.CurvatureFirstBounds
import OAI.Geometry.IsometricImmersion.Energy.DirectedIntegralEstimate
import OAI.Geometry.IsometricImmersion.Curvature.DiskCurvatureProfiles
import OAI.Geometry.IsometricImmersion.Caps.EllipticApplication
import OAI.Geometry.IsometricImmersion.Coordinates.ExteriorAnnuli
import OAI.Geometry.IsometricImmersion.Assembly.FlatPatchSum
import OAI.Geometry.IsometricImmersion.Estimates.LargestBlockLinearization
import OAI.Geometry.IsometricImmersion.Metrics.ModelCoercivity
import OAI.Geometry.IsometricImmersion.Calculus.MovingIntervalCalculus
import OAI.Geometry.IsometricImmersion.Darboux.SixVariableQ
import OAI.Geometry.IsometricImmersion.Metrics.StateCoefficientTube
import OAI.Geometry.IsometricImmersion.Assembly.SupportedPerturbations
import OAI.Geometry.IsometricImmersion.Taylor.TopChainExtraction
import OAI.Geometry.IsometricImmersion.Calculus.AffineTensorJetBounds
import OAI.Geometry.IsometricImmersion.Assembly.DiagonalAmplitudes
import OAI.Geometry.IsometricImmersion.Energy.DirectedEdgeDefect
import OAI.Geometry.IsometricImmersion.Caps.EllipticGradient
import OAI.Geometry.IsometricImmersion.Coordinates.ExteriorCenterNets
import OAI.Geometry.IsometricImmersion.Flows.FlowParameter
import OAI.Geometry.IsometricImmersion.Darboux.ModelPrincipal
import OAI.Geometry.IsometricImmersion.Energy.MovingHyperbolicEnergy
import OAI.Geometry.IsometricImmersion.Pulses.PulseProfiles
import OAI.Geometry.IsometricImmersion.Darboux.QPrincipal
import OAI.Geometry.IsometricImmersion.Assembly.SupportedMetricJets
import OAI.Geometry.IsometricImmersion.Assembly.SupportedNeighborhoods
import OAI.Geometry.IsometricImmersion.Assembly.SupportedSmoothComplete
import OAI.Geometry.IsometricImmersion.Assembly.TensorSeriesLocality
import OAI.Geometry.IsometricImmersion.Metrics.AffineTensorNeighborhood
import OAI.Geometry.IsometricImmersion.Comparison.ClosureMetricApproximation
import OAI.Geometry.IsometricImmersion.Assembly.DisjointTensorAssembly
import OAI.Geometry.IsometricImmersion.Flows.FlowParameterContinuity
import OAI.Geometry.IsometricImmersion.Metrics.MetricPatchOpen
import OAI.Geometry.IsometricImmersion.Coordinates.OrientedCenterNets
import OAI.Geometry.IsometricImmersion.Pulses.PulseCurvaturePrincipal
import OAI.Geometry.IsometricImmersion.Pulses.PulseDerivativeBounds
import OAI.Geometry.IsometricImmersion.Pulses.PulseMoment
import OAI.Geometry.IsometricImmersion.Darboux.QSegmentDomain
import OAI.Geometry.IsometricImmersion.Energy.SqrtEnergyGronwall
import OAI.Geometry.IsometricImmersion.Immersions.ActualShearHeight
import OAI.Geometry.IsometricImmersion.Coordinates.AffinePatchSquares
import OAI.Geometry.IsometricImmersion.Curvature.CurvatureLowerTube
import OAI.Geometry.IsometricImmersion.Pulses.FiniteOscillatoryMoment
import OAI.Geometry.IsometricImmersion.Flows.FlowVariation
import OAI.Geometry.IsometricImmersion.Energy.MovingEnergyPropagation
import OAI.Geometry.IsometricImmersion.Pulses.PulseMomentGeometry
import OAI.Geometry.IsometricImmersion.Pulses.PulseNeighborhood
import OAI.Geometry.IsometricImmersion.Pulses.PulseSecondXi
import OAI.Geometry.IsometricImmersion.Darboux.QCoefficientTube
import OAI.Geometry.IsometricImmersion.Pulses.ActualForcingMoment
import OAI.Geometry.IsometricImmersion.Coordinates.ActualShearHyperbolicity
import OAI.Geometry.IsometricImmersion.Pulses.CutoffEdgeMoment
import OAI.Geometry.IsometricImmersion.Flows.FlowJointSmooth
import OAI.Geometry.IsometricImmersion.Energy.MovingSlabEnergy
import OAI.Geometry.IsometricImmersion.Coordinates.OrientedPatchSquares
import OAI.Geometry.IsometricImmersion.Pulses.PulseFirstJetControl
import OAI.Geometry.IsometricImmersion.Pulses.PulseNeighborhoodAdapters
import OAI.Geometry.IsometricImmersion.Darboux.QSegmentMargins
import OAI.Geometry.IsometricImmersion.Flows.FlowBounds
import OAI.Geometry.IsometricImmersion.Flows.FlowCurvature
import OAI.Geometry.IsometricImmersion.Energy.MovingEnergyGradient
import OAI.Geometry.IsometricImmersion.Obstructions.PatchAdmissibility
import OAI.Geometry.IsometricImmersion.Curvature.PatchCurvatureProfiles
import OAI.Geometry.IsometricImmersion.Comparison.PulseClosureApproximation
import OAI.Geometry.IsometricImmersion.Pulses.PulseDensitySlab
import OAI.Geometry.IsometricImmersion.Pulses.PulseMomentError
import OAI.Geometry.IsometricImmersion.Darboux.QSegmentAveraging
import OAI.Geometry.IsometricImmersion.Assembly.AssemblyProfiles
import OAI.Geometry.IsometricImmersion.Calculus.ClosedSquareJetBounds
import OAI.Geometry.IsometricImmersion.Comparison.CurvatureComparisonControl
import OAI.Geometry.IsometricImmersion.Flows.FlowInverse
import OAI.Geometry.IsometricImmersion.Flows.FlowSecondVariation
import OAI.Geometry.IsometricImmersion.Flows.FlowTransport
import OAI.Geometry.IsometricImmersion.Energy.MovingIntervalSobolev
import OAI.Geometry.IsometricImmersion.Immersions.OrientedHeightPullback
import OAI.Geometry.IsometricImmersion.Pulses.PulseTestEnergy
import OAI.Geometry.IsometricImmersion.Caps.CapCutoffGeometry
import OAI.Geometry.IsometricImmersion.Caps.CapFlowUniqueness
import OAI.Geometry.IsometricImmersion.Comparison.CurvatureFullJetComparison
import OAI.Geometry.IsometricImmersion.Assembly.EnumeratedPatchTensors
import OAI.Geometry.IsometricImmersion.Flows.FlowChart
import OAI.Geometry.IsometricImmersion.Flows.FlowHeightCoefficients
import OAI.Geometry.IsometricImmersion.Flows.FlowThirdVariation
import OAI.Geometry.IsometricImmersion.Curvature.InitialCurvature
import OAI.Geometry.IsometricImmersion.Energy.MovingIntervalSourceL2
import OAI.Geometry.IsometricImmersion.Pulses.PulseActualDensity
import OAI.Geometry.IsometricImmersion.Pulses.PulseSpatialParts
import OAI.Geometry.IsometricImmersion.Obstructions.UniversalPatchSelection
import OAI.Geometry.IsometricImmersion.Caps.CapEllipticOverlap
import OAI.Geometry.IsometricImmersion.Caps.CapJacobian
import OAI.Geometry.IsometricImmersion.Flows.ConstructedHeightFlow
import OAI.Geometry.IsometricImmersion.Darboux.DriftOperatorIdentity
import OAI.Geometry.IsometricImmersion.Flows.FlowTimeVariation
import OAI.Geometry.IsometricImmersion.Immersions.HeightCoefficientRegularity
import OAI.Geometry.IsometricImmersion.Assembly.InitialAssemblyMetric
import OAI.Geometry.IsometricImmersion.Calculus.MovingFirstJetBase
import OAI.Geometry.IsometricImmersion.Caps.OpenCapFlowUniqueness
import OAI.Geometry.IsometricImmersion.Metrics.PatchTensorRestriction
import OAI.Geometry.IsometricImmersion.Pulses.PulseDensityGlobal
import OAI.Geometry.IsometricImmersion.Pulses.PulseTemporalParts
import OAI.Geometry.IsometricImmersion.Darboux.QMetricDensityDecomposition
import OAI.Geometry.IsometricImmersion.Caps.CapAreaFormula
import OAI.Geometry.IsometricImmersion.Energy.DirectedFarNegative
import OAI.Geometry.IsometricImmersion.Energy.DirectedFluxCost
import OAI.Geometry.IsometricImmersion.Flows.FlowLowBounds
import OAI.Geometry.IsometricImmersion.Energy.HeightEnergyJetBounds
import OAI.Geometry.IsometricImmersion.Calculus.HorizontalJetCalculus
import OAI.Geometry.IsometricImmersion.Coordinates.PatchAddressModel
import OAI.Geometry.IsometricImmersion.Obstructions.PatchAdmissibilityRestriction
import OAI.Geometry.IsometricImmersion.Flows.PatchFlowCoercivity
import OAI.Geometry.IsometricImmersion.Metrics.PatchTensorPositivity
import OAI.Geometry.IsometricImmersion.Darboux.QFirstJetFunctions
import OAI.Geometry.IsometricImmersion.Calculus.SecondJetExtraction
import OAI.Geometry.IsometricImmersion.Estimates.ActualHighEquation
import OAI.Geometry.IsometricImmersion.Assembly.AssembledImmersionHeight
import OAI.Geometry.IsometricImmersion.Caps.CapDensityBounds
import OAI.Geometry.IsometricImmersion.Caps.CapFlowCoordinateJets
import OAI.Geometry.IsometricImmersion.Caps.ConstructedCapArea
import OAI.Geometry.IsometricImmersion.Energy.DirectedParameterChoice
import OAI.Geometry.IsometricImmersion.Energy.DirectedWeightJetCost
import OAI.Geometry.IsometricImmersion.Flows.FlowImageFirstBounds
import OAI.Geometry.IsometricImmersion.Immersions.HeightPFirstBounds
import OAI.Geometry.IsometricImmersion.Energy.PatchDirectedCoercivity
import OAI.Geometry.IsometricImmersion.Comparison.QFirstJetComparison
import OAI.Geometry.IsometricImmersion.Darboux.QSpatialJets
import OAI.Geometry.IsometricImmersion.Darboux.ActualHighDrift
import OAI.Geometry.IsometricImmersion.Caps.CapFlowJetBounds
import OAI.Geometry.IsometricImmersion.Caps.CapGradientTransport
import OAI.Geometry.IsometricImmersion.Energy.DirectedDefectCost
import OAI.Geometry.IsometricImmersion.Flows.FlowImageMargin
import OAI.Geometry.IsometricImmersion.Immersions.HeightCoefficientClosedBounds
import OAI.Geometry.IsometricImmersion.Darboux.QMetricFirstErrorBound
import OAI.Geometry.IsometricImmersion.Taylor.ScalarChainExpansion
import OAI.Geometry.IsometricImmersion.Taylor.TaylorSeparatedProduct
import OAI.Geometry.IsometricImmersion.Flows.ActualFlowHighEquation
import OAI.Geometry.IsometricImmersion.Pulses.ActualQPulseForcing
import OAI.Geometry.IsometricImmersion.Estimates.ActualRemainderFactors
import OAI.Geometry.IsometricImmersion.Caps.CapOverlapCosts
import OAI.Geometry.IsometricImmersion.Caps.CapReciprocalBounds
import OAI.Geometry.IsometricImmersion.Caps.ConstructedCapGradient
import OAI.Geometry.IsometricImmersion.Flows.FlowSobolev
import OAI.Geometry.IsometricImmersion.Calculus.MixedCoordinateCalculus
import OAI.Geometry.IsometricImmersion.Darboux.QHighEquation
import OAI.Geometry.IsometricImmersion.Taylor.TaylorJetStability
import OAI.Geometry.IsometricImmersion.Pulses.ActualQPulseForcingGlobal
import OAI.Geometry.IsometricImmersion.Energy.ActualRemainderL2
import OAI.Geometry.IsometricImmersion.Estimates.ActualRemainderRegularity
import OAI.Geometry.IsometricImmersion.Caps.CapCutoffRectangle
import OAI.Geometry.IsometricImmersion.Calculus.CoordinateJetReverseNorm
import OAI.Geometry.IsometricImmersion.Flows.HeightFlowBoundTools
import OAI.Geometry.IsometricImmersion.Darboux.MixedDarbouxElimination
import OAI.Geometry.IsometricImmersion.Darboux.QResidualFactors
import OAI.Geometry.IsometricImmersion.Comparison.ShearFirstJetComparison
import OAI.Geometry.IsometricImmersion.Taylor.TaylorResidual
import OAI.Geometry.IsometricImmersion.Estimates.ActualQWeightedRemainder
import OAI.Geometry.IsometricImmersion.Taylor.FiniteTaylorComparison
import OAI.Geometry.IsometricImmersion.Flows.HeightFlowUniformBounds
import OAI.Geometry.IsometricImmersion.Caps.IntegratedCapOverlap
import OAI.Geometry.IsometricImmersion.Pulses.QPulseFirstJetBudget
import OAI.Geometry.IsometricImmersion.Darboux.QResidualL2
import OAI.Geometry.IsometricImmersion.Metrics.RemainderCoefficientBounds
import OAI.Geometry.IsometricImmersion.Calculus.ShearHeightJets
import OAI.Geometry.IsometricImmersion.Taylor.TaylorQJetBounds
import OAI.Geometry.IsometricImmersion.Estimates.ActualQMomentLower
import OAI.Geometry.IsometricImmersion.Caps.CapInteriorEnergy
import OAI.Geometry.IsometricImmersion.Metrics.FixedMetricRemainder
import OAI.Geometry.IsometricImmersion.Darboux.HeightPrincipalBounds
import OAI.Geometry.IsometricImmersion.Metrics.LocalMetricPCoefficients
import OAI.Geometry.IsometricImmersion.Estimates.MixedRemainderFactors
import OAI.Geometry.IsometricImmersion.Darboux.QEnergyApplication
import OAI.Geometry.IsometricImmersion.Comparison.QMetricApproximationInputs
import OAI.Geometry.IsometricImmersion.Darboux.QResidualActive
import OAI.Geometry.IsometricImmersion.Calculus.ShearMetricJets
import OAI.Geometry.IsometricImmersion.Taylor.TaylorCoefficientBounds
import OAI.Geometry.IsometricImmersion.Immersions.BoundedHeightClasses
import OAI.Geometry.IsometricImmersion.Comparison.FiniteApproximationJets
import OAI.Geometry.IsometricImmersion.Caps.HeightCapLowData
import OAI.Geometry.IsometricImmersion.Energy.LocalizedRemainderL2
import OAI.Geometry.IsometricImmersion.Energy.MixedRemainderL2
import OAI.Geometry.IsometricImmersion.Darboux.QContainingRectangle
import OAI.Geometry.IsometricImmersion.Darboux.QFirstJetEnergy
import OAI.Geometry.IsometricImmersion.Darboux.QMomentAbsorption
import OAI.Geometry.IsometricImmersion.Darboux.QSpatialRestriction
import OAI.Geometry.IsometricImmersion.Calculus.ShearMetricFullJets
import OAI.Geometry.IsometricImmersion.Taylor.TaylorPolynomialJetBounds
import OAI.Geometry.IsometricImmersion.Metrics.ActualLowMetricBudget
import OAI.Geometry.IsometricImmersion.Estimates.ActualQMomentPositive
import OAI.Geometry.IsometricImmersion.Comparison.BoundedClassApproximation
import OAI.Geometry.IsometricImmersion.Estimates.BoundedClassHyperbolicity
import OAI.Geometry.IsometricImmersion.Immersions.HeightNumericParameters
import OAI.Geometry.IsometricImmersion.Energy.MixedDerivativeL2
import OAI.Geometry.IsometricImmersion.Obstructions.PatchObstructionSet
import OAI.Geometry.IsometricImmersion.Darboux.QInitialEnergy
import OAI.Geometry.IsometricImmersion.Darboux.QPositiveFloor
import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorPolynomial
import OAI.Geometry.IsometricImmersion.Metrics.UniversalMetricQ
import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonSource
import OAI.Geometry.IsometricImmersion.Estimates.BoundedClassQFloor
import OAI.Geometry.IsometricImmersion.Obstructions.BoundedClassTopology
import OAI.Geometry.IsometricImmersion.Caps.CapL2Basics
import OAI.Geometry.IsometricImmersion.Energy.FixedMetricMixedL2
import OAI.Geometry.IsometricImmersion.Metrics.LocalMetricQFull
import OAI.Geometry.IsometricImmersion.Metrics.MetricQSpatialBundle
import OAI.Geometry.IsometricImmersion.Flows.UniformRichPatchFlow
import OAI.Geometry.IsometricImmersion.Estimates.UniversalQRaw
import OAI.Geometry.IsometricImmersion.Metrics.LocalMetricQActive
import OAI.Geometry.IsometricImmersion.Metrics.MetricHorizontalRequests
import OAI.Geometry.IsometricImmersion.Darboux.QMetricJetTransfer
import OAI.Geometry.IsometricImmersion.Estimates.RemainderAreaBudget
import OAI.Geometry.IsometricImmersion.Caps.UniformOriginalDataCapEstimate
import OAI.Geometry.IsometricImmersion.Caps.C8ActualCapEstimate
import OAI.Geometry.IsometricImmersion.Caps.NestedCapRectangles
import OAI.Geometry.IsometricImmersion.Caps.PhysicalCapTransport
import OAI.Geometry.IsometricImmersion.Darboux.QActualSegmentTransfer
import OAI.Geometry.IsometricImmersion.Darboux.QFirstSpatialBounds
import OAI.Geometry.IsometricImmersion.Caps.AllOrderCapEstimate
import OAI.Geometry.IsometricImmersion.Caps.CapReflectionGeometry
import OAI.Geometry.IsometricImmersion.Energy.LocalQResidualL2
import OAI.Geometry.IsometricImmersion.Darboux.QStripJetControl
import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorDenominator
import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonEquation
import OAI.Geometry.IsometricImmersion.Caps.AllOrderPhysicalCap
import OAI.Geometry.IsometricImmersion.Caps.CapReflectionCalculus
import OAI.Geometry.IsometricImmersion.Darboux.QSameStripMargins
import OAI.Geometry.IsometricImmersion.Darboux.QSpatialSlabData
import OAI.Geometry.IsometricImmersion.Taylor.TaylorCauchyData
import OAI.Geometry.IsometricImmersion.Taylor.TaylorRemainderBound
import OAI.Geometry.IsometricImmersion.Caps.CapInductionData
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonCoefficientSmooth
import OAI.Geometry.IsometricImmersion.Caps.PulseReflection
import OAI.Geometry.IsometricImmersion.Pulses.PulseTemporalMoment
import OAI.Geometry.IsometricImmersion.Darboux.QClosedStripMargins
import OAI.Geometry.IsometricImmersion.Darboux.QLowActualBounds
import OAI.Geometry.IsometricImmersion.Pulses.QReferenceForcingMargins
import OAI.Geometry.IsometricImmersion.Darboux.QReferenceInitialTolerance
import OAI.Geometry.IsometricImmersion.Darboux.QSpatialInductionStep
import OAI.Geometry.IsometricImmersion.Taylor.TaylorInitialStateBound
import OAI.Geometry.IsometricImmersion.Taylor.TaylorInitialVelocity
import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorStrip
import OAI.Geometry.IsometricImmersion.Estimates.BoundedClassQLow
import OAI.Geometry.IsometricImmersion.Caps.BoundedClassReflection
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonCoefficientDerivative
import OAI.Geometry.IsometricImmersion.Caps.LowerCapInduction
import OAI.Geometry.IsometricImmersion.Pulses.PulseOperatorMoment
import OAI.Geometry.IsometricImmersion.Darboux.QSpatialFiniteInduction
import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorPulse
import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonTestCost
import OAI.Geometry.IsometricImmersion.Caps.BoundedClassCapData
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonCoefficientBounds
import OAI.Geometry.IsometricImmersion.Caps.FixedMetricLowerCap
import OAI.Geometry.IsometricImmersion.Pulses.PulseScalarContradiction
import OAI.Geometry.IsometricImmersion.Darboux.QSpatialPointwise
import OAI.Geometry.IsometricImmersion.Caps.VaryingCapInduction
import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonEnergy
import OAI.Geometry.IsometricImmersion.Caps.FiniteCapInduction
import OAI.Geometry.IsometricImmersion.Pulses.PulseFlowDistance
import OAI.Geometry.IsometricImmersion.Darboux.QFiniteActual
import OAI.Geometry.IsometricImmersion.Caps.UpperCapWords
import OAI.Geometry.IsometricImmersion.Caps.VaryingMetricLowerCap
import OAI.Geometry.IsometricImmersion.Coordinates.BoundedClassSlabSmallness
import OAI.Geometry.IsometricImmersion.Caps.CauchyReflection
import OAI.Geometry.IsometricImmersion.Caps.FiniteCapPointwise
import OAI.Geometry.IsometricImmersion.Estimates.MovingSourceBounds
import OAI.Geometry.IsometricImmersion.Caps.PulseCapSeparation
import OAI.Geometry.IsometricImmersion.Caps.QPointwiseCauchyJets
import OAI.Geometry.IsometricImmersion.Flows.VaryingMetricChosenFlow
import OAI.Geometry.IsometricImmersion.Caps.ActualPulseCapSeparation
import OAI.Geometry.IsometricImmersion.Caps.BoundedClassCapRadius
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonGradientSlice
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonSourceBounds
import OAI.Geometry.IsometricImmersion.Flows.FiniteMetricChosenFlow
import OAI.Geometry.IsometricImmersion.Pulses.ShearedPulseRegions
import OAI.Geometry.IsometricImmersion.Caps.UpperCapMetricJets
import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonGradient
import OAI.Geometry.IsometricImmersion.Caps.ActualLowerCutImage
import OAI.Geometry.IsometricImmersion.Coordinates.BoundedPatchSlabGeometry
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonEnergyScaling
import OAI.Geometry.IsometricImmersion.Calculus.FiniteUpperMetricJets
import OAI.Geometry.IsometricImmersion.Pulses.OffPulseMetricBounds
import OAI.Geometry.IsometricImmersion.Caps.VaryingMetricUpperCap
import OAI.Geometry.IsometricImmersion.Coordinates.ActualPatchQRectangle
import OAI.Geometry.IsometricImmersion.Pulses.ActualTwoSidedPulseSeparation
import OAI.Geometry.IsometricImmersion.Calculus.BoundedClassInitialJet
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonPulseGeometry
import OAI.Geometry.IsometricImmersion.Pulses.PulseEdgeReferenceDistance
import OAI.Geometry.IsometricImmersion.Caps.ReflectedActualCapFlow
import OAI.Geometry.IsometricImmersion.Calculus.ShearedMetricFiniteJets
import OAI.Geometry.IsometricImmersion.Coordinates.ActualCentralShearMargins
import OAI.Geometry.IsometricImmersion.Caps.ActualFiniteCapMetricBounds
import OAI.Geometry.IsometricImmersion.Metrics.ActualLowMetricFloor
import OAI.Geometry.IsometricImmersion.Pulses.ActualPulseMetricCloseness
import OAI.Geometry.IsometricImmersion.Estimates.ActualQCompactBounds
import OAI.Geometry.IsometricImmersion.Caps.BoundedPatchCauchy
import OAI.Geometry.IsometricImmersion.Comparison.QApproximationMargins
import OAI.Geometry.IsometricImmersion.Pulses.ReferencePulseEdgeInitial
import OAI.Geometry.IsometricImmersion.Caps.ActualFiniteLowerCutBounds
import OAI.Geometry.IsometricImmersion.Metrics.ActualTestMetricPositive
import OAI.Geometry.IsometricImmersion.Coordinates.ActualFiniteShearedCutBounds
import OAI.Geometry.IsometricImmersion.Estimates.ActualQPointBounds
import OAI.Geometry.IsometricImmersion.Caps.ActualOffPulseCauchy
import OAI.Geometry.IsometricImmersion.Estimates.FixedRadiusCutBounds
import OAI.Geometry.IsometricImmersion.Taylor.ActualUniformTaylorPulse
import OAI.Geometry.IsometricImmersion.Caps.FixedRadiusOffPulseCauchy
import OAI.Geometry.IsometricImmersion.Taylor.ActualTaylorFiniteJets
import OAI.Geometry.IsometricImmersion.Taylor.ActualUniformTaylorRich
import OAI.Geometry.IsometricImmersion.Caps.ActualUpperOffPulseCauchy
import OAI.Geometry.IsometricImmersion.Caps.ActualClassTwoSidedCauchy
import OAI.Geometry.IsometricImmersion.Coordinates.ActualReferenceSegment
import OAI.Geometry.IsometricImmersion.Taylor.TaylorUpperCauchyBounds
import OAI.Geometry.IsometricImmersion.Comparison.ActualClassComparisonGradient
import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonCoefficientData
import OAI.Geometry.IsometricImmersion.Estimates.ActualQApplicability
import OAI.Geometry.IsometricImmersion.Comparison.ComparisonUpperVelocity
import OAI.Geometry.IsometricImmersion.Comparison.ActualClassComparisonSourceBound
import OAI.Geometry.IsometricImmersion.Pulses.ActualClassQForcingMoment
import OAI.Geometry.IsometricImmersion.Comparison.ActualUniformComparisonGradient
import OAI.Geometry.IsometricImmersion.Comparison.ActualClassComparisonMoment
import OAI.Geometry.IsometricImmersion.Comparison.OriginalClassComparisonWithLow
import OAI.Geometry.IsometricImmersion.Pulses.OriginalPulseExclusion
import OAI.Geometry.IsometricImmersion.Obstructions.BoundedClassNowhereDense
import OAI.Geometry.IsometricImmersion.Obstructions.PatchResidualTheorem
import OAI.Geometry.IsometricImmersion.Obstructions.SmallPatchObstruction
import OAI.Geometry.IsometricImmersion.Assembly.SelectedPatchObstructions
import OAI.Geometry.IsometricImmersion.Assembly.FinalMetric
import OAI.Geometry.IsometricImmersion.CoordinateMain
import OAI.Geometry.IsometricImmersion.Main