import OAI.MeasureTheory.Falconer.Estimates.ConditionalPlanar
import OAI.MeasureTheory.Falconer.Radial.RadialMoments
import OAI.MeasureTheory.Falconer.Angular.CapTransport
import OAI.MeasureTheory.Falconer.Incidence.PublishedFurstenberg
import OAI.MeasureTheory.Falconer.Shells.FilteredShellEndgame
import OAI.MeasureTheory.Falconer.Angular.AngularSamples
import OAI.MeasureTheory.Falconer.Estimates.SamplingTail
import OAI.MeasureTheory.Falconer.Geometry.DyadicCube
import OAI.MeasureTheory.Falconer.Incidence.GridCount
import OAI.MeasureTheory.Falconer.Recursion.Entry
import OAI.MeasureTheory.Falconer.Estimates.ParallelCount
import OAI.MeasureTheory.Falconer.Graphs.GraphSchur
import OAI.MeasureTheory.Falconer.Graphs.GraphNormalization
import OAI.MeasureTheory.Falconer.Incidence.IncidenceSampling
import OAI.MeasureTheory.Falconer.Incidence.SampledFurstenberg
import OAI.MeasureTheory.Falconer.Measures.StartingMeasures
import OAI.MeasureTheory.Falconer.Geometry.NonstationaryGeometry
import OAI.MeasureTheory.Falconer.Estimates.NonstationaryScales
import OAI.MeasureTheory.Falconer.Radial.RadialNonstationary
import OAI.MeasureTheory.Falconer.Fourier.EndpointTransform
import OAI.MeasureTheory.Falconer.Fourier.DyadicTransforms
import OAI.MeasureTheory.Falconer.Fourier.OscillatoryExpansion
import OAI.MeasureTheory.Falconer.Angular.SharedAngular
import OAI.MeasureTheory.Falconer.Estimates.UniformSamples
import OAI.MeasureTheory.Falconer.Estimates.PlanarGain
import OAI.MeasureTheory.Falconer.Graphs.WitnessGraph
import OAI.MeasureTheory.Falconer.Estimates.Eligibility
import OAI.MeasureTheory.Falconer.Estimates.ReachedMasks
import OAI.MeasureTheory.Falconer.Estimates.RetainedEnergy
import OAI.MeasureTheory.Falconer.Radial.RadialLocalization
import OAI.MeasureTheory.Falconer.Estimates.EligibilityExcision
import OAI.MeasureTheory.Falconer.Fourier.NonstationaryPhase
import OAI.MeasureTheory.Falconer.Geometry.ChartGeometry
import OAI.MeasureTheory.Falconer.Angular.SphereRotations
import OAI.MeasureTheory.Falconer.Estimates.RotatedNonstationary
import OAI.MeasureTheory.Falconer.Estimates.LocalizationSum
import OAI.MeasureTheory.Falconer.Angular.DiscardedCapTerm
import OAI.MeasureTheory.Falconer.Angular.LongitudinalCapTerm
import OAI.MeasureTheory.Falconer.Fourier.CellSymbols
import OAI.MeasureTheory.Falconer.Estimates.NonstationaryPower
import OAI.MeasureTheory.Falconer.Angular.CapScaleGeometry
import OAI.MeasureTheory.Falconer.Angular.ControlledCapPartition
import OAI.MeasureTheory.Falconer.Angular.CapSymbolBounds
import OAI.MeasureTheory.Falconer.Angular.CapPairSymmetry
import OAI.MeasureTheory.Falconer.Angular.CapCount
import OAI.MeasureTheory.Falconer.Graphs.GraphErrorAbsorption
import OAI.MeasureTheory.Falconer.Fourier.SmoothMaskDerivatives
import OAI.MeasureTheory.Falconer.Estimates.AnchoredBufferedMasks
import OAI.MeasureTheory.Falconer.Angular.CapEnergyExpansion
import OAI.MeasureTheory.Falconer.Angular.PerpendicularCrossTerm
import OAI.MeasureTheory.Falconer.Angular.LongitudinalCrossTerm
import OAI.MeasureTheory.Falconer.Angular.DyadicPerpendicular
import OAI.MeasureTheory.Falconer.Angular.DyadicLongitudinal
import OAI.MeasureTheory.Falconer.Graphs.GraphEnergyError
import OAI.MeasureTheory.Falconer.Graphs.GraphScaleData
import OAI.MeasureTheory.Falconer.Graphs.DyadicRowCount
import OAI.MeasureTheory.Falconer.Estimates.RegularClasses
import OAI.MeasureTheory.Falconer.Estimates.AllDimensionalParallelExceptional
import OAI.MeasureTheory.Falconer.Geometry.ConditionalBalls
import OAI.MeasureTheory.Falconer.Measures.ConditionalFrostman
import OAI.MeasureTheory.Falconer.Fourier.HalfDimensionalFourier
import OAI.MeasureTheory.Falconer.Geometry.ConditionalProjectionTest
import OAI.MeasureTheory.Falconer.Slicing.SliceGeometry
import OAI.MeasureTheory.Falconer.Slicing.SliceMass
import OAI.MeasureTheory.Falconer.Slicing.SliceBallTransfer
import OAI.MeasureTheory.Falconer.Slicing.SliceActiveCount
import OAI.MeasureTheory.Falconer.Slicing.SliceTubeGeometry
import OAI.MeasureTheory.Falconer.Slicing.GaussianRows
import OAI.MeasureTheory.Falconer.Slicing.GaussianProjection
import OAI.MeasureTheory.Falconer.Slicing.GaussianGram
import OAI.MeasureTheory.Falconer.Slicing.GaussianSliceTail
import OAI.MeasureTheory.Falconer.Slicing.GaussianVectorBand
import OAI.MeasureTheory.Falconer.Slicing.GaussianPointBand
import OAI.MeasureTheory.Falconer.Slicing.GaussianPointBound
import OAI.MeasureTheory.Falconer.Slicing.GaussianPointMass
import OAI.MeasureTheory.Falconer.Slicing.GaussianPointTruncation
import OAI.MeasureTheory.Falconer.Slicing.GaussianBallMeasurable
import OAI.MeasureTheory.Falconer.Slicing.GaussianIncidenceAverage
import OAI.MeasureTheory.Falconer.Slicing.GaussianKernelGeometry
import OAI.MeasureTheory.Falconer.Slicing.GaussianRowStability
import OAI.MeasureTheory.Falconer.Slicing.GaussianControlledIncidence
import OAI.MeasureTheory.Falconer.Slicing.GaussianFinitePruning
import OAI.MeasureTheory.Falconer.Slicing.GaussianKernelCoordinates
import OAI.MeasureTheory.Falconer.Measures.ProductRestrictionLoss
import OAI.MeasureTheory.Falconer.Slicing.GaussianActiveCount
import OAI.MeasureTheory.Falconer.Slicing.GaussianTubeGeometry
import OAI.MeasureTheory.Falconer.Slicing.TransverseFrame
import OAI.MeasureTheory.Falconer.Slicing.GaussianPruningLedger
import OAI.MeasureTheory.Falconer.Slicing.GaussianSelectionBudget
import OAI.MeasureTheory.Falconer.Slicing.GaussianSelectActive
import OAI.MeasureTheory.Falconer.Slicing.GaussianBandRestriction
import OAI.MeasureTheory.Falconer.Slicing.GaussianMapBalls
import OAI.MeasureTheory.Falconer.Slicing.SliceCoordinates
import OAI.MeasureTheory.Falconer.Slicing.SliceNormalization
import OAI.MeasureTheory.Falconer.Radial.TubeCoverChoice
import OAI.MeasureTheory.Falconer.Slicing.GaussianActiveCover
import OAI.MeasureTheory.Falconer.Slicing.GaussianOriginalSlice
import OAI.MeasureTheory.Falconer.Slicing.SliceBudget
import OAI.MeasureTheory.Falconer.Slicing.GaussianPrunedBalls
import OAI.MeasureTheory.Falconer.Radial.PreparedTubeRelation
import OAI.MeasureTheory.Falconer.Radial.PlanarAETubeGain
import OAI.MeasureTheory.Falconer.Angular.CappedActiveCover
import OAI.MeasureTheory.Falconer.Slicing.OrientedSliceBalls
import OAI.MeasureTheory.Falconer.Slicing.GaussianSliceSupport
import OAI.MeasureTheory.Falconer.Slicing.SliceScaling
import OAI.MeasureTheory.Falconer.Slicing.SliceIncidence
import OAI.MeasureTheory.Falconer.Slicing.GaussianPolynomialSlice
import OAI.MeasureTheory.Falconer.Geometry.PolynomialNormalization
import OAI.MeasureTheory.Falconer.Slicing.GaussianLossAbsorption
import OAI.MeasureTheory.Falconer.Slicing.GaussianMomentWeights
import OAI.MeasureTheory.Falconer.Geometry.TruncatedDyadicBalls
import OAI.MeasureTheory.Falconer.Slicing.GaussianDyadicGeometry
import OAI.MeasureTheory.Falconer.Slicing.GaussianFrostmanTransfer
import OAI.MeasureTheory.Falconer.Angular.OriginalDirectionChart
import OAI.MeasureTheory.Falconer.Slicing.GaussianThreshold
import OAI.MeasureTheory.Falconer.Slicing.GaussianPlanarChart
import OAI.MeasureTheory.Falconer.Estimates.DyadicLossAbsorption
import OAI.MeasureTheory.Falconer.Slicing.DyadicSliceSelection
import OAI.MeasureTheory.Falconer.Estimates.PlanarSelectedGain
import OAI.MeasureTheory.Falconer.Slicing.GaussianPlanarExclusion
import OAI.MeasureTheory.Falconer.Angular.ControlledAngularGain
import OAI.MeasureTheory.Falconer.Estimates.PlanarLossBudget
import OAI.MeasureTheory.Falconer.Geometry.ActiveCoverScale
import OAI.MeasureTheory.Falconer.Radial.NonendpointTubeGain
import OAI.MeasureTheory.Falconer.Incidence.CommonTripleIncidence
import OAI.MeasureTheory.Falconer.Geometry.NormalizedTripleGram
import OAI.MeasureTheory.Falconer.Slicing.GaussianTripleAverage
import OAI.MeasureTheory.Falconer.Slicing.GaussianTripleNormalization
import OAI.MeasureTheory.Falconer.Incidence.LoomisWhitneyThree
import OAI.MeasureTheory.Falconer.Estimates.SelectCommonTriple
import OAI.MeasureTheory.Falconer.Angular.GnomonicInverse
import OAI.MeasureTheory.Falconer.Angular.GnomonicLaw
import OAI.MeasureTheory.Falconer.Angular.GnomonicCap
import OAI.MeasureTheory.Falconer.Radial.GnomonicAffinePlate
import OAI.MeasureTheory.Falconer.Angular.GnomonicPairGram
import OAI.MeasureTheory.Falconer.Angular.GnomonicTripleAngle
import OAI.MeasureTheory.Falconer.Angular.GnomonicTripleKernel
import OAI.MeasureTheory.Falconer.Slicing.GaussianTruncatedTriple
import OAI.MeasureTheory.Falconer.Incidence.IncidenceMoment
import OAI.MeasureTheory.Falconer.Radial.RadialAngleCaps
import OAI.MeasureTheory.Falconer.Recursion.ScalarPotential
import OAI.MeasureTheory.Falconer.Recursion.TruncatedScalarPotential
import OAI.MeasureTheory.Falconer.Radial.RadialAnglePotential
import OAI.MeasureTheory.Falconer.Incidence.FiniteLoomisWhitney
import OAI.MeasureTheory.Falconer.Geometry.IntegerRectangle
import OAI.MeasureTheory.Falconer.Geometry.TransverseGridCoordinates
import OAI.MeasureTheory.Falconer.Incidence.TransverseTubeCount
import OAI.MeasureTheory.Falconer.Geometry.EuclideanCross
import OAI.MeasureTheory.Falconer.Estimates.TripleColumns
import OAI.MeasureTheory.Falconer.Geometry.TripleFrameBound
import OAI.MeasureTheory.Falconer.Geometry.TripleGridRounding
import OAI.MeasureTheory.Falconer.Radial.PhysicalTubeCover
import OAI.MeasureTheory.Falconer.Estimates.TransversePhysicalCount
import OAI.MeasureTheory.Falconer.Radial.ThreeTubeMass
import OAI.MeasureTheory.Falconer.Estimates.TripleGramStability
import OAI.MeasureTheory.Falconer.Slicing.GnomonicSliceLaw
import OAI.MeasureTheory.Falconer.Slicing.SliceTripleStability
import OAI.MeasureTheory.Falconer.Slicing.GaussianTripleTransversality
import OAI.MeasureTheory.Falconer.Estimates.ThreeTubePullback
import OAI.MeasureTheory.Falconer.Slicing.SliceThreeTubeMass
import OAI.MeasureTheory.Falconer.Estimates.EndpointCountBudget
import OAI.MeasureTheory.Falconer.Recursion.AnchoredTriplePotential
import OAI.MeasureTheory.Falconer.Slicing.GaussianChartTripleAverage
import OAI.MeasureTheory.Falconer.Slicing.EndpointSliceObstruction
import OAI.MeasureTheory.Falconer.Slicing.GaussianChartTripleKernelMeasurable
import OAI.MeasureTheory.Falconer.Slicing.GaussianBadTripleMass
import OAI.MeasureTheory.Falconer.Measures.FiberDensityPruning
import OAI.MeasureTheory.Falconer.Measures.DensityCellCharge
import OAI.MeasureTheory.Falconer.Measures.FiniteMassMultiplication
import OAI.MeasureTheory.Falconer.Measures.MultiscaleDensityPruning
import OAI.MeasureTheory.Falconer.Measures.DensityTreeMultiplication
import OAI.MeasureTheory.Falconer.Radial.RadialFreezing
import OAI.MeasureTheory.Falconer.Radial.RadialCapTube
import OAI.MeasureTheory.Falconer.Incidence.PublishedLoomisWhitney
import OAI.MeasureTheory.Falconer.Geometry.IntegerBox
import OAI.MeasureTheory.Falconer.Geometry.GeneralTransverseGrid
import OAI.MeasureTheory.Falconer.Geometry.GeneralGridRounding
import OAI.MeasureTheory.Falconer.Radial.GeneralPhysicalTubeCover

import OAI.MeasureTheory.Falconer.Fourier.MatrixCofactorBound
import OAI.MeasureTheory.Falconer.Estimates.GeneralColumns
import OAI.MeasureTheory.Falconer.Geometry.GeneralFrameBound
import OAI.MeasureTheory.Falconer.Estimates.GeneralTransverseCount
import OAI.MeasureTheory.Falconer.Radial.GeneralTubeMass
import OAI.MeasureTheory.Falconer.Incidence.CommonTupleIncidence

import OAI.MeasureTheory.Falconer.Slicing.GramSchmidtMeasurable
import OAI.MeasureTheory.Falconer.Slicing.GramSchmidtSlab
import OAI.MeasureTheory.Falconer.Slicing.GramSchmidtVolume
import OAI.MeasureTheory.Falconer.Geometry.PiCoordinateSections
import OAI.MeasureTheory.Falconer.Radial.RadialTupleTransversality
import OAI.MeasureTheory.Falconer.Incidence.RadialIncidenceBound
import OAI.MeasureTheory.Falconer.Estimates.FiniteOverlap
import OAI.MeasureTheory.Falconer.Geometry.GridBallOverlap
import OAI.MeasureTheory.Falconer.Radial.HeavyProjectedCover
import OAI.MeasureTheory.Falconer.Incidence.FrozenHeavyCover
import OAI.MeasureTheory.Falconer.Estimates.TroublesomePair
import OAI.MeasureTheory.Falconer.Geometry.TroublesomeCovers
import OAI.MeasureTheory.Falconer.Incidence.TroublesomeIncidence
import OAI.MeasureTheory.Falconer.Radial.WeakRadialLocalBudget
import OAI.MeasureTheory.Falconer.Radial.WeakRadialParameters
import OAI.MeasureTheory.Falconer.Estimates.CellwisePairDeletion
import OAI.MeasureTheory.Falconer.Estimates.NearPinDeletion
import OAI.MeasureTheory.Falconer.Angular.CapDensityCharge
import OAI.MeasureTheory.Falconer.Angular.MultiscaleCapMass
import OAI.MeasureTheory.Falconer.Recursion.ProfileTelescoping
import OAI.MeasureTheory.Falconer.Estimates.RetainedTubeTest
import OAI.MeasureTheory.Falconer.Radial.LocalRadialPruning
import OAI.MeasureTheory.Falconer.Radial.MultilevelRadialPruning
import OAI.MeasureTheory.Falconer.Measures.PairCorePruning
import OAI.MeasureTheory.Falconer.Radial.FiniteRadialPruning
import OAI.MeasureTheory.Falconer.Radial.OccupiedRadialTree
import OAI.MeasureTheory.Falconer.Radial.DyadicRadialPruning
import OAI.MeasureTheory.Falconer.Incidence.RegularClassRadialIncidence
import OAI.MeasureTheory.Falconer.Radial.RegularClassRadialPruning
import OAI.MeasureTheory.Falconer.Incidence.RadialBlockDepths
import OAI.MeasureTheory.Falconer.Radial.RadialFreezingScales
import OAI.MeasureTheory.Falconer.Radial.WeakRadialDeletionBudget
import OAI.MeasureTheory.Falconer.Radial.WeakRadialCapParameters
import OAI.MeasureTheory.Falconer.Radial.RadialProfileProduct
import OAI.MeasureTheory.Falconer.Radial.RegularClassRadialBudget
import OAI.MeasureTheory.Falconer.Estimates.RegularClassSmallTrouble
import OAI.MeasureTheory.Falconer.Incidence.RadialBlockRadius
import OAI.MeasureTheory.Falconer.Radial.ClasswiseRadialGain
import OAI.MeasureTheory.Falconer.Geometry.DyadicScaleBallBounds
import OAI.MeasureTheory.Falconer.Radial.RadialRegularClasses
import OAI.MeasureTheory.Falconer.Radial.RadialProfileGap
import OAI.MeasureTheory.Falconer.Radial.SingleClassRadialGain
import OAI.MeasureTheory.Falconer.Radial.RadialPinScaleBounds
import OAI.MeasureTheory.Falconer.Radial.RadialNearBallBounds

import OAI.MeasureTheory.Falconer.Radial.RegularizationRadialGain
import OAI.MeasureTheory.Falconer.Radial.WeakRadialLosses
import OAI.MeasureTheory.Falconer.Radial.WeakRadialTotalCost
import OAI.MeasureTheory.Falconer.Radial.SingleScaleWeakRadial
import OAI.MeasureTheory.Falconer.Radial.RadialScaleIntersection
import OAI.MeasureTheory.Falconer.Radial.RadialDyadicBracket
import OAI.MeasureTheory.Falconer.Radial.RadialScaleWindow
import OAI.MeasureTheory.Falconer.Radial.RadialRemoveDiagonal
import OAI.MeasureTheory.Falconer.Radial.RadialAllRadiusBound
import OAI.MeasureTheory.Falconer.Radial.WeakRadial
import OAI.MeasureTheory.Falconer.Geometry.SmallChartCube
import OAI.MeasureTheory.Falconer.Radial.RadialCapExtension
import OAI.MeasureTheory.Falconer.Radial.SmallChartWeakRadial
import OAI.MeasureTheory.Falconer.Radial.EndpointRadialLosses
import OAI.MeasureTheory.Falconer.Estimates.BadTriplePower
import OAI.MeasureTheory.Falconer.Estimates.EndpointBadTriples
import OAI.MeasureTheory.Falconer.Slicing.GaussianChartPairAverage
import OAI.MeasureTheory.Falconer.Slicing.GaussianChartPairKernel
import OAI.MeasureTheory.Falconer.Geometry.ChartPairTransfer
import OAI.MeasureTheory.Falconer.Geometry.ChartPairPower
import OAI.MeasureTheory.Falconer.Estimates.WeightedCubicMoment
import OAI.MeasureTheory.Falconer.Radial.RadialPairSeparation
import OAI.MeasureTheory.Falconer.Estimates.BadTripleRelation
import OAI.MeasureTheory.Falconer.Radial.EndpointRadialPreparation

import OAI.MeasureTheory.Falconer.Estimates.AnchoredPairFailure
import OAI.MeasureTheory.Falconer.Incidence.BadRowIncidence
import OAI.MeasureTheory.Falconer.Geometry.ChartCostMeasurable
import OAI.MeasureTheory.Falconer.Estimates.GoodRowSelection
import OAI.MeasureTheory.Falconer.Estimates.GoodRowSelectionAE
import OAI.MeasureTheory.Falconer.Slicing.GaussianSelectPrunedCosts
import OAI.MeasureTheory.Falconer.Angular.GnomonicPrunedLaw
import OAI.MeasureTheory.Falconer.Estimates.SelectBoundedCommonTriple
import OAI.MeasureTheory.Falconer.Geometry.SelectTransverseChartTriple
import OAI.MeasureTheory.Falconer.Angular.SmallGnomonicCap
import OAI.MeasureTheory.Falconer.Geometry.EndpointChartSelection
import OAI.MeasureTheory.Falconer.Geometry.EndpointChartObstruction
import OAI.MeasureTheory.Falconer.Slicing.UnnormalizedSliceBalls
import OAI.MeasureTheory.Falconer.Slicing.GaussianSelectPrunedPairCosts
import OAI.MeasureTheory.Falconer.Angular.CappedOriginalCover
import OAI.MeasureTheory.Falconer.Geometry.SelectedChartRelation

import OAI.MeasureTheory.Falconer.Geometry.SelectedChartGeometry
import OAI.MeasureTheory.Falconer.Slicing.GaussianEndpointExclusion
import OAI.MeasureTheory.Falconer.Slicing.GaussianSelectActiveCosts
import OAI.MeasureTheory.Falconer.Estimates.EndpointPowerAbsorption
import OAI.MeasureTheory.Falconer.Measures.EndpointMassRatios
import OAI.MeasureTheory.Falconer.Slicing.GaussianOriginalCosts
import OAI.MeasureTheory.Falconer.Estimates.EndpointSelectionLosses

import OAI.MeasureTheory.Falconer.Slicing.GaussianPolynomialCosts
import OAI.MeasureTheory.Falconer.Slicing.DyadicSliceCosts
import OAI.MeasureTheory.Falconer.Geometry.ChartFiniteScaleBounds
import OAI.MeasureTheory.Falconer.Estimates.EndpointRowBudget
import OAI.MeasureTheory.Falconer.Estimates.EndpointSphericalPreparation
import OAI.MeasureTheory.Falconer.Estimates.EndpointDyadicScale
import OAI.MeasureTheory.Falconer.Angular.EndpointAngularParameters
import OAI.MeasureTheory.Falconer.Slicing.EndpointSliceCosts

import OAI.MeasureTheory.Falconer.Estimates.ControlledEndpointGain
import OAI.MeasureTheory.Falconer.Estimates.EndpointApplicationNumerics
import OAI.MeasureTheory.Falconer.Geometry.EndpointChartGain
import OAI.MeasureTheory.Falconer.Geometry.EndpointNormalize
import OAI.MeasureTheory.Falconer.Estimates.EndpointSubprobability
import OAI.MeasureTheory.Falconer.Estimates.RotatedLaws
import OAI.MeasureTheory.Falconer.Estimates.RotatedTubeData
import OAI.MeasureTheory.Falconer.Geometry.EndpointChartRadius
import OAI.MeasureTheory.Falconer.Estimates.EndpointOrientedGain
import OAI.MeasureTheory.Falconer.Angular.EndpointAngularGain
import OAI.MeasureTheory.Falconer.Radial.EndpointTubeGain

import OAI.MeasureTheory.Falconer.Angular.BadDirectionEnvelope
import OAI.MeasureTheory.Falconer.Angular.BadDirectionSelection
import OAI.MeasureTheory.Falconer.Incidence.PowerIncidenceMass
import OAI.MeasureTheory.Falconer.Angular.EndpointBadDirections
import OAI.MeasureTheory.Falconer.Angular.NonendpointBadDirections

import OAI.MeasureTheory.Falconer.Recursion.ProfileSuffixMinimum
import OAI.MeasureTheory.Falconer.Recursion.ProfileSuffixContact
import OAI.MeasureTheory.Falconer.Fourier.ProfileDerivativePoint
import OAI.MeasureTheory.Falconer.Recursion.ProfileRightContact
import OAI.MeasureTheory.Falconer.Recursion.ProfileContactInterval

import OAI.MeasureTheory.Falconer.Recursion.ProfileCompactness

import OAI.MeasureTheory.Falconer.Recursion.ProfileUniformLimit
import OAI.MeasureTheory.Falconer.Recursion.ProfileContactStability
import OAI.MeasureTheory.Falconer.Recursion.CriticalPotential
import OAI.MeasureTheory.Falconer.Recursion.CriticalScalarPotential
import OAI.MeasureTheory.Falconer.Recursion.CriticalTruncatedPotential
import OAI.MeasureTheory.Falconer.Radial.ReverseRadialGeometry
import OAI.MeasureTheory.Falconer.Radial.ReverseRadialMass
import OAI.MeasureTheory.Falconer.Radial.ReverseRadialTruncation
import OAI.MeasureTheory.Falconer.Radial.RadialCollisionMass
import OAI.MeasureTheory.Falconer.Radial.RadialCollisionMean
import OAI.MeasureTheory.Falconer.Radial.RadialCollisionDeletion

import OAI.MeasureTheory.Falconer.Radial.RadialMeanPowers
import OAI.MeasureTheory.Falconer.Radial.RadialMeanPowerBound
import OAI.MeasureTheory.Falconer.Radial.OuterRadialPruning

import OAI.MeasureTheory.Falconer.Radial.RadialSphereLaw
import OAI.MeasureTheory.Falconer.Radial.RadialBadWitness
import OAI.MeasureTheory.Falconer.Radial.RadialSphereBounds
import OAI.MeasureTheory.Falconer.Radial.EndpointRadialBadDirections
import OAI.MeasureTheory.Falconer.Radial.NonendpointRadialBadDirections
import OAI.MeasureTheory.Falconer.Angular.TubeDirectionRobustness
import OAI.MeasureTheory.Falconer.Incidence.BoundedFrozenHeavyCover
import OAI.MeasureTheory.Falconer.Angular.GoodDirectionMass

import OAI.MeasureTheory.Falconer.Measures.RepresentedPruning
import OAI.MeasureTheory.Falconer.Radial.MiddleHeavyRadialMass
import OAI.MeasureTheory.Falconer.Angular.WitnessDirection
import OAI.MeasureTheory.Falconer.Radial.MiddleRadialPruning
import OAI.MeasureTheory.Falconer.Radial.HeavyCoverCount
import OAI.MeasureTheory.Falconer.Radial.NonendpointMiddleRadial
import OAI.MeasureTheory.Falconer.Radial.EndpointMiddleRadial
import OAI.MeasureTheory.Falconer.Radial.RadialZoom
import OAI.MeasureTheory.Falconer.Radial.RadialZoomLaw
import OAI.MeasureTheory.Falconer.Radial.RadialZoomPruning
import OAI.MeasureTheory.Falconer.Radial.RadialCapCollision
import OAI.MeasureTheory.Falconer.Measures.CollisionDensityCharge
import OAI.MeasureTheory.Falconer.Measures.MultiscaleCollisionMass
import OAI.MeasureTheory.Falconer.Measures.CollisionPruningMultiplication
import OAI.MeasureTheory.Falconer.Recursion.ThreeIntervalPower

import OAI.MeasureTheory.Falconer.Recursion.ProfileIncrementFrostman
import OAI.MeasureTheory.Falconer.Recursion.ProfileRoundContact
import OAI.MeasureTheory.Falconer.Recursion.RoundedProfileContact
import OAI.MeasureTheory.Falconer.Recursion.ActualProfileContact
import OAI.MeasureTheory.Falconer.Recursion.ContactDepths
import OAI.MeasureTheory.Falconer.Recursion.UniformProfileContact

import OAI.MeasureTheory.Falconer.Recursion.UniformContactDepths
import OAI.MeasureTheory.Falconer.Recursion.UniformFrostmanProfiles
import OAI.MeasureTheory.Falconer.Recursion.SourceClassContact
import OAI.MeasureTheory.Falconer.Radial.RadialZoomBounds
import OAI.MeasureTheory.Falconer.Measures.CellwiseCollisionPruning

import OAI.MeasureTheory.Falconer.Estimates.SourceCollisionMultiplication
import OAI.MeasureTheory.Falconer.Radial.RelativeClasswiseRadialGain
import OAI.MeasureTheory.Falconer.Estimates.RelativeRegularizationGain
import OAI.MeasureTheory.Falconer.Recursion.SourceClassIntervals
import OAI.MeasureTheory.Falconer.Recursion.RelativeScaleBudget
import OAI.MeasureTheory.Falconer.Measures.OriginalConditionalFrostman
import OAI.MeasureTheory.Falconer.Radial.UniformOuterRadial
import OAI.MeasureTheory.Falconer.Radial.RadialCollisionWidths
import OAI.MeasureTheory.Falconer.Incidence.RadialZoomFiniteBalls
import OAI.MeasureTheory.Falconer.Radial.OuterRadialWidths
import OAI.MeasureTheory.Falconer.Radial.OuterRadialCell
import OAI.MeasureTheory.Falconer.Geometry.ConditionalCellGeometry
import OAI.MeasureTheory.Falconer.Radial.SourceClassOuterRadial
import OAI.MeasureTheory.Falconer.Geometry.CellNormalization
import OAI.MeasureTheory.Falconer.Geometry.MiddleScaleGeometry
import OAI.MeasureTheory.Falconer.Radial.MiddleRadialTransport
import OAI.MeasureTheory.Falconer.Estimates.NonendpointOriginalMiddle
import OAI.MeasureTheory.Falconer.Estimates.EndpointOriginalMiddle
import OAI.MeasureTheory.Falconer.Estimates.SourceClassMiddleData
import OAI.MeasureTheory.Falconer.Recursion.RoundedContactWidth
import OAI.MeasureTheory.Falconer.Radial.NonendpointSourceMiddle
import OAI.MeasureTheory.Falconer.Radial.EndpointSourceMiddle
import OAI.MeasureTheory.Falconer.Recursion.ContactLossBudget
import OAI.MeasureTheory.Falconer.Measures.FiniteRelativePruning
import OAI.MeasureTheory.Falconer.Estimates.FiniteCellwiseCollision
import OAI.MeasureTheory.Falconer.Measures.LocalPruningGain
import OAI.MeasureTheory.Falconer.Geometry.OccupiedCellSeparation
import OAI.MeasureTheory.Falconer.Estimates.DyadicLocalGain
import OAI.MeasureTheory.Falconer.Estimates.SourceClassOriginalLaws
import OAI.MeasureTheory.Falconer.Estimates.ReverseLawTransfer
import OAI.MeasureTheory.Falconer.Recursion.ThreeIntervalShift
import OAI.MeasureTheory.Falconer.Geometry.UniformMiddleGeometry
import OAI.MeasureTheory.Falconer.Recursion.ThreeIntervalProduct
import OAI.MeasureTheory.Falconer.Recursion.ThreeIntervalCost
import OAI.MeasureTheory.Falconer.Estimates.OneScaleParameters
import OAI.MeasureTheory.Falconer.Recursion.ThreeIntervalData
import OAI.MeasureTheory.Falconer.Recursion.ThreeIntervalDyadicGain
import OAI.MeasureTheory.Falconer.Geometry.OneScaleGeometry

import OAI.MeasureTheory.Falconer.Estimates.RelativePairCore
import OAI.MeasureTheory.Falconer.Angular.ReverseCapsAllRadii
import OAI.MeasureTheory.Falconer.Recursion.NonendpointContactGain
import OAI.MeasureTheory.Falconer.Recursion.EndpointContactGain
import OAI.MeasureTheory.Falconer.Estimates.SourceRelativeRegularization
import OAI.MeasureTheory.Falconer.Estimates.NonendpointOneScale
import OAI.MeasureTheory.Falconer.Estimates.EndpointOneScale
import OAI.MeasureTheory.Falconer.Radial.TwoSidedRadialIntersection
import OAI.MeasureTheory.Falconer.Estimates.NonendpointTwoSidedScale
import OAI.MeasureTheory.Falconer.Estimates.EndpointTwoSidedScale

import OAI.MeasureTheory.Falconer.Radial.FiniteRadialRefinement
import OAI.MeasureTheory.Falconer.Recursion.DyadicWindowInterpolation
import OAI.MeasureTheory.Falconer.Recursion.NonendpointScaleWindow
import OAI.MeasureTheory.Falconer.Radial.RadialWindowAvailability
import OAI.MeasureTheory.Falconer.Estimates.NonendpointAvailabilityGain
import OAI.MeasureTheory.Falconer.Radial.ReverseSlabsAllRadii
import OAI.MeasureTheory.Falconer.Recursion.EndpointScaleWindow
import OAI.MeasureTheory.Falconer.Estimates.EndpointAvailabilityGain
import OAI.MeasureTheory.Falconer.Radial.ThinTubeUpgrade
import OAI.MeasureTheory.Falconer.Radial.VanishingSlabs
import OAI.MeasureTheory.Falconer.Radial.UniformVanishingSlabs
import OAI.MeasureTheory.Falconer.Radial.UniformAffineSlabs
import OAI.MeasureTheory.Falconer.Geometry.EuclideanBallNet
import OAI.MeasureTheory.Falconer.Radial.AffinePlaneCover
import OAI.MeasureTheory.Falconer.Radial.AffinePlaneFrostman
import OAI.MeasureTheory.Falconer.Radial.AffineSubspaceFrostman
import OAI.MeasureTheory.Falconer.Radial.AffineSlabCluster
import OAI.MeasureTheory.Falconer.Geometry.TwoNormalProjection
import OAI.MeasureTheory.Falconer.Geometry.NormalSeparation
import OAI.MeasureTheory.Falconer.Radial.TwoSlabGeometry
import OAI.MeasureTheory.Falconer.Radial.TwoSlabMass
import OAI.MeasureTheory.Falconer.Radial.HeavyPlateCells
import OAI.MeasureTheory.Falconer.Radial.CoarsePlateFilter
import OAI.MeasureTheory.Falconer.Radial.FinitePlateException
import OAI.MeasureTheory.Falconer.Radial.HeavyPlateCover
import OAI.MeasureTheory.Falconer.Measures.ExceptionalFiberMass
import OAI.MeasureTheory.Falconer.Radial.LatePlateFiber
import OAI.MeasureTheory.Falconer.Radial.PlatePairLoss
import OAI.MeasureTheory.Falconer.Measures.FirstExclusionMass

import OAI.MeasureTheory.Falconer.Estimates.UniformLowerPlanes
import OAI.MeasureTheory.Falconer.Radial.PublishedHeavyPlates
import OAI.MeasureTheory.Falconer.Radial.PlateZoom
import OAI.MeasureTheory.Falconer.Radial.UnitHeavyPlateCover
import OAI.MeasureTheory.Falconer.Radial.BoundedHeavyPlateCover
import OAI.MeasureTheory.Falconer.Measures.MeanProbability
import OAI.MeasureTheory.Falconer.Radial.OriginalHeavyPlateCover
import OAI.MeasureTheory.Falconer.Radial.DyadicHeavyCover

import OAI.MeasureTheory.Falconer.Radial.PlateScales
import OAI.MeasureTheory.Falconer.Radial.PlatePowerBudget
import OAI.MeasureTheory.Falconer.Radial.InitialPlateCover
import OAI.MeasureTheory.Falconer.Estimates.FirstExclusionShift
import OAI.MeasureTheory.Falconer.Radial.PlateScaleChoices
import OAI.MeasureTheory.Falconer.Radial.PlateLossSeries
import OAI.MeasureTheory.Falconer.Radial.LatePlatePowerLoss

import OAI.MeasureTheory.Falconer.Radial.InitialPlateLoss
import OAI.MeasureTheory.Falconer.Radial.LatePlateTail
import OAI.MeasureTheory.Falconer.Radial.CoarsePlateLimit
import OAI.MeasureTheory.Falconer.Radial.CoarsePlatePositive
import OAI.MeasureTheory.Falconer.Radial.CoarsePlateCells
import OAI.MeasureTheory.Falconer.Estimates.TruncatedDyadicBound
import OAI.MeasureTheory.Falconer.Radial.CoarsePlateAffineBound
import OAI.MeasureTheory.Falconer.Estimates.CoarseFloorPowers
import OAI.MeasureTheory.Falconer.Radial.CoarsePlateDirections
import OAI.MeasureTheory.Falconer.Radial.CoarsePlateSymmetry
import OAI.MeasureTheory.Falconer.Radial.CoarsePlatePreparation

import OAI.MeasureTheory.Falconer.Angular.SphereCapBox
import OAI.MeasureTheory.Falconer.Angular.SphereCapBound
import OAI.MeasureTheory.Falconer.Geometry.EuclideanRieszEnergy
import OAI.MeasureTheory.Falconer.Radial.RadialMomentParameters
import OAI.MeasureTheory.Falconer.Radial.PublishedRadialMoment
import OAI.MeasureTheory.Falconer.Angular.PublishedIntegerCaps

import OAI.MeasureTheory.Falconer.Recursion.PointRieszPotential
import OAI.MeasureTheory.Falconer.Slicing.GaussianRieszKernel
import OAI.MeasureTheory.Falconer.Slicing.GaussianRieszScaling
import OAI.MeasureTheory.Falconer.Slicing.GaussianProjectionEnergy
import OAI.MeasureTheory.Falconer.Recursion.PotentialBallBound
import OAI.MeasureTheory.Falconer.Recursion.BoundedPotentialCompact
import OAI.MeasureTheory.Falconer.Measures.SimultaneousProjectedFrostman
import OAI.MeasureTheory.Falconer.Measures.NormalizedProjectedFrostman
import OAI.MeasureTheory.Falconer.Measures.ChooseProjectedFrostman

import OAI.MeasureTheory.Falconer.Slicing.GaussianFullRank
import OAI.MeasureTheory.Falconer.Slicing.RectangularGramSchmidt
import OAI.MeasureTheory.Falconer.Radial.AffineNullTuples

import OAI.MeasureTheory.Falconer.Slicing.GaussianSpanRows
import OAI.MeasureTheory.Falconer.Slicing.GaussianPreservesIndependence
import OAI.MeasureTheory.Falconer.Estimates.ProjectedIndependentTuples

import OAI.MeasureTheory.Falconer.Radial.ProjectedHyperplaneNull

import OAI.MeasureTheory.Falconer.Geometry.ChooseNonchargingProjection

import OAI.MeasureTheory.Falconer.Measures.SecondProjectedFrostman
import OAI.MeasureTheory.Falconer.Measures.ProjectedSupportPoints
import OAI.MeasureTheory.Falconer.Geometry.ProjectedSeparation

import OAI.MeasureTheory.Falconer.Estimates.ProjectedCompactPieces

import OAI.MeasureTheory.Falconer.Shells.PositiveRestriction
import OAI.MeasureTheory.Falconer.Geometry.ProjectionDilation
import OAI.MeasureTheory.Falconer.Estimates.ProjectedPair
import OAI.MeasureTheory.Falconer.Angular.EvenStartingCaps
import OAI.MeasureTheory.Falconer.Estimates.EvenPreparation
import OAI.MeasureTheory.Falconer.Geometry.ProjectionCube

import OAI.MeasureTheory.Falconer.Estimates.TwoProjectedLaws
import OAI.MeasureTheory.Falconer.Geometry.TwoProjectionCubes
import OAI.MeasureTheory.Falconer.Estimates.DilationNoncharging
import OAI.MeasureTheory.Falconer.Geometry.TwoProjectionFrame
import OAI.MeasureTheory.Falconer.Geometry.TwoProjectionPieces
import OAI.MeasureTheory.Falconer.Angular.DirectionDistance
import OAI.MeasureTheory.Falconer.Geometry.TwoProjectionPiecePair
import OAI.MeasureTheory.Falconer.Angular.TwoProjectionIntegerCaps
import OAI.MeasureTheory.Falconer.Measures.SupportPairFilter
import OAI.MeasureTheory.Falconer.Estimates.OddProjectedPieces
import OAI.MeasureTheory.Falconer.Angular.OddAuxiliaryCaps
import OAI.MeasureTheory.Falconer.Estimates.OriginalPairFilter
import OAI.MeasureTheory.Falconer.Angular.OddOriginalCaps
import OAI.MeasureTheory.Falconer.Estimates.OddNonchargingPreparation

import OAI.MeasureTheory.Falconer.Estimates.StartingPreparation
import OAI.MeasureTheory.Falconer.Measures.PreparedMeasure
import OAI.MeasureTheory.Falconer.Fourier.BorelSymbols
import OAI.MeasureTheory.Falconer.Graphs.ProfileGraphEstimate
import OAI.MeasureTheory.Falconer.Graphs.ProfileGraphError
import OAI.MeasureTheory.Falconer.Estimates.DescriptorRemoval
import OAI.MeasureTheory.Falconer.Graphs.DescriptorProductGraph
import OAI.MeasureTheory.Falconer.Estimates.DescriptorAmbient
import OAI.MeasureTheory.Falconer.Estimates.MaskedLowBand
import OAI.MeasureTheory.Falconer.Geometry.MaskedGeometry
import OAI.MeasureTheory.Falconer.Recursion.ProfileEntry
import OAI.MeasureTheory.Falconer.Recursion.ProfileLoss
import OAI.MeasureTheory.Falconer.Estimates.FarRebin
import OAI.MeasureTheory.Falconer.Shells.DistanceInverse
import OAI.MeasureTheory.Falconer.Estimates.InverseScale
import OAI.MeasureTheory.Falconer.Angular.SphereProduct
import OAI.MeasureTheory.Falconer.Fourier.StationaryWeightCancellation
import OAI.MeasureTheory.Falconer.Estimates.SeparatedInverse
import OAI.MeasureTheory.Falconer.Fourier.FourStationaryPhases
import OAI.MeasureTheory.Falconer.Estimates.PolicyPrefixLowpass
import OAI.MeasureTheory.Falconer.Estimates.PolicyLowBand
import OAI.MeasureTheory.Falconer.Estimates.CellClassifier
import OAI.MeasureTheory.Falconer.Geometry.NormalizedDescriptorFamily
import OAI.MeasureTheory.Falconer.Estimates.DescriptorInverseRegime
import OAI.MeasureTheory.Falconer.Shells.InverseShell
import OAI.MeasureTheory.Falconer.Estimates.MaskedInverseRemainder
import OAI.MeasureTheory.Falconer.Angular.ScalarAngularShell
import OAI.MeasureTheory.Falconer.Shells.ScalarShellError
import OAI.MeasureTheory.Falconer.Shells.LocalizedScalarShell
import OAI.MeasureTheory.Falconer.Shells.FiniteShellIntegrability

import OAI.MeasureTheory.Falconer.Fourier.StationaryShellIntegrability
import OAI.MeasureTheory.Falconer.Shells.InverseShellIntegrability
import OAI.MeasureTheory.Falconer.Estimates.ScalarInverseTransfer
import OAI.MeasureTheory.Falconer.Shells.FiniteSpatialScalarShell
import OAI.MeasureTheory.Falconer.Shells.InverseScalarShell
import OAI.MeasureTheory.Falconer.Shells.InverseEnvelopeShell
import OAI.MeasureTheory.Falconer.Shells.MaskedScalarShell
import OAI.MeasureTheory.Falconer.Shells.DescriptorShellRegime
import OAI.MeasureTheory.Falconer.Fourier.DescriptorPairDerivativeScale
import OAI.MeasureTheory.Falconer.Estimates.UniformDescriptorFamily
import OAI.MeasureTheory.Falconer.Angular.AngularEnvelope
import OAI.MeasureTheory.Falconer.Angular.NorthRotation

import OAI.MeasureTheory.Falconer.Shells.OriginalInverseStateShell
import OAI.MeasureTheory.Falconer.Graphs.JetStateGraph
import OAI.MeasureTheory.Falconer.Fourier.JetStateNear
import OAI.MeasureTheory.Falconer.Fourier.JetStateFarSupport
import OAI.MeasureTheory.Falconer.Fourier.JetStateFarRemainder
import OAI.MeasureTheory.Falconer.Shells.FarPositiveSum
import OAI.MeasureTheory.Falconer.Estimates.FourPointPartition
import OAI.MeasureTheory.Falconer.Geometry.FarNormalization

import OAI.MeasureTheory.Falconer.Fourier.FarTestedIntegral
import OAI.MeasureTheory.Falconer.Estimates.FarOriginalPartition
import OAI.MeasureTheory.Falconer.Recursion.FarProfileNormalization
import OAI.MeasureTheory.Falconer.Angular.VectorSphereKernel
import OAI.MeasureTheory.Falconer.Angular.OriginalAngularKernel
import OAI.MeasureTheory.Falconer.Estimates.EnergyOriginalKernel
import OAI.MeasureTheory.Falconer.Fourier.JetStateBudgetOrder
import OAI.MeasureTheory.Falconer.Angular.NoncomparableSphereKernel
import OAI.MeasureTheory.Falconer.Fourier.JetStateNoncomparableFull
import OAI.MeasureTheory.Falconer.Estimates.NoncomparableKernelScale
import OAI.MeasureTheory.Falconer.Fourier.NoncomparableOriginalIntegral
import OAI.MeasureTheory.Falconer.Fourier.JetStateOriginalEnergy
import OAI.MeasureTheory.Falconer.Fourier.FarCollisionIntegral
import OAI.MeasureTheory.Falconer.Fourier.OriginalStationaryReplacement
import OAI.MeasureTheory.Falconer.Estimates.NoncomparableOriginalPointwise
import OAI.MeasureTheory.Falconer.Fourier.OriginalStationaryPower
import OAI.MeasureTheory.Falconer.Estimates.ComparableBands
import OAI.MeasureTheory.Falconer.Geometry.FarNormalizedBound
import OAI.MeasureTheory.Falconer.Estimates.CrossOriginalKernel
import OAI.MeasureTheory.Falconer.Fourier.JetStateCrossKernel
import OAI.MeasureTheory.Falconer.Estimates.NearFarSplit
import OAI.MeasureTheory.Falconer.Fourier.JetStateNearFar
import OAI.MeasureTheory.Falconer.Measures.FarOriginalSupport
import OAI.MeasureTheory.Falconer.Fourier.JetStateFarOriginal
import OAI.MeasureTheory.Falconer.Estimates.KernelL1Comparison
import OAI.MeasureTheory.Falconer.Estimates.FarRegionSplit
import OAI.MeasureTheory.Falconer.Fourier.JetStateFarBand

import OAI.MeasureTheory.Falconer.Estimates.FarRegionScales
import OAI.MeasureTheory.Falconer.Estimates.NoncomparableCommonBound
import OAI.MeasureTheory.Falconer.Estimates.FarData
import OAI.MeasureTheory.Falconer.Fourier.FarIntegralAssembly
import OAI.MeasureTheory.Falconer.Estimates.FarKernelDataEstimates
import OAI.MeasureTheory.Falconer.Estimates.FarDataBound
import OAI.MeasureTheory.Falconer.Angular.FarAngularStep

import OAI.MeasureTheory.Falconer.Estimates.FarPolicyScales
import OAI.MeasureTheory.Falconer.Fourier.PolicyJetData

import OAI.MeasureTheory.Falconer.Estimates.FarEnvelope
import OAI.MeasureTheory.Falconer.Estimates.FarError
import OAI.MeasureTheory.Falconer.Estimates.FarErrorOrder
import OAI.MeasureTheory.Falconer.Graphs.GraphPolicyScales
import OAI.MeasureTheory.Falconer.Graphs.PolicyGraphData
import OAI.MeasureTheory.Falconer.Estimates.PolicyFarStep

import OAI.MeasureTheory.Falconer.Graphs.PolicyGraphError
import OAI.MeasureTheory.Falconer.Graphs.PolicyGraphStep

import OAI.MeasureTheory.Falconer.Fourier.PolicyJetChildren
import OAI.MeasureTheory.Falconer.Recursion.PolicyBranchCoefficients
import OAI.MeasureTheory.Falconer.Graphs.PolicyGraphRecurrence
import OAI.MeasureTheory.Falconer.Recursion.PolicyTerminal

import OAI.MeasureTheory.Falconer.Estimates.PolicyFarCoefficients
import OAI.MeasureTheory.Falconer.Estimates.PolicyFarRecurrence
import OAI.MeasureTheory.Falconer.Angular.PolicyAngularBranches

import OAI.MeasureTheory.Falconer.Shells.PolicyPrefixShell
import OAI.MeasureTheory.Falconer.Shells.PolicyPositiveRecurrence
import OAI.MeasureTheory.Falconer.Estimates.PolicySuffixRecurrence

import OAI.MeasureTheory.Falconer.Shells.PolicyPositiveBranches
import OAI.MeasureTheory.Falconer.Recursion.PolicyFarSuccessors
import OAI.MeasureTheory.Falconer.Estimates.PolicyCommonBudgets
import OAI.MeasureTheory.Falconer.Estimates.PolicyEnergy
import OAI.MeasureTheory.Falconer.Recursion.PolicyRecursionBounds
import OAI.MeasureTheory.Falconer.Recursion.DimensionalBranchBounds
import OAI.MeasureTheory.Falconer.Estimates.PolicyEnergySteps
import OAI.MeasureTheory.Falconer.Estimates.PolicyEnergyInduction
import OAI.MeasureTheory.Falconer.Recursion.PolicyWeightedRecursion
import OAI.MeasureTheory.Falconer.Estimates.PolicyRootDecay
import OAI.MeasureTheory.Falconer.Estimates.PolicyRootApplication
import OAI.MeasureTheory.Falconer.Estimates.PolicyRootCoefficient
import OAI.MeasureTheory.Falconer.Recursion.TwoRootGain
import OAI.MeasureTheory.Falconer.Estimates.TwoPolicyEnergy

import OAI.MeasureTheory.Falconer.Graphs.TwoGraphChildren
import OAI.MeasureTheory.Falconer.Graphs.TwoProfileGraph
import OAI.MeasureTheory.Falconer.Graphs.TwoGraphScales
import OAI.MeasureTheory.Falconer.Estimates.OuterDescriptors
import OAI.MeasureTheory.Falconer.Graphs.OuterGraphData
import OAI.MeasureTheory.Falconer.Graphs.OuterGraphStep
import OAI.MeasureTheory.Falconer.Fourier.JetNormalization
import OAI.MeasureTheory.Falconer.Angular.FlexibleAngularRoot
import OAI.MeasureTheory.Falconer.Graphs.FlexibleGraphChild
import OAI.MeasureTheory.Falconer.Recursion.TwoProfileInverse
import OAI.MeasureTheory.Falconer.Fourier.TwoProfileInverseIntegration

import OAI.MeasureTheory.Falconer.Estimates.OuterRootGain
import OAI.MeasureTheory.Falconer.Angular.OuterAngularBound
import OAI.MeasureTheory.Falconer.Recursion.OuterEntryGain
import OAI.MeasureTheory.Falconer.Angular.OuterAngularDecay
import OAI.MeasureTheory.Falconer.Recursion.TwoProfileInverseIntegrable
import OAI.MeasureTheory.Falconer.Shells.TwoProfileInverseShell
import OAI.MeasureTheory.Falconer.Recursion.TwoProfileInverseScalar
import OAI.MeasureTheory.Falconer.Recursion.TwoProfileInverseCost
import OAI.MeasureTheory.Falconer.Shells.TwoProfileMaskedShell
import OAI.MeasureTheory.Falconer.Fourier.TwoProfileDerivatives
import OAI.MeasureTheory.Falconer.Estimates.OuterScalarConversion
import OAI.MeasureTheory.Falconer.Shells.RegularOuterShell
import OAI.MeasureTheory.Falconer.Estimates.OuterParameters

import OAI.MeasureTheory.Falconer.Measures.SpatialRestriction
import OAI.MeasureTheory.Falconer.Estimates.OuterRestrictedConversion
import OAI.MeasureTheory.Falconer.Shells.RegularRestrictedShell
import OAI.MeasureTheory.Falconer.Estimates.RegularRoot
import OAI.MeasureTheory.Falconer.Shells.RegularClassShell
import OAI.MeasureTheory.Falconer.Estimates.DescriptorExceptional
import OAI.MeasureTheory.Falconer.Measures.ClassSupport
import OAI.MeasureTheory.Falconer.Estimates.DescriptorMaskExceptional
import OAI.MeasureTheory.Falconer.Estimates.DescriptorFiberBad
import OAI.MeasureTheory.Falconer.Angular.SphereCapCenters
import OAI.MeasureTheory.Falconer.Angular.OriginalFiberCaps
import OAI.MeasureTheory.Falconer.Estimates.ValidDescriptors
import OAI.MeasureTheory.Falconer.Estimates.DescriptorTestBad
import OAI.MeasureTheory.Falconer.Estimates.AllTestsRestoration
import OAI.MeasureTheory.Falconer.Estimates.RegularListRestoration
import OAI.MeasureTheory.Falconer.Estimates.ClassRecombination
import OAI.MeasureTheory.Falconer.Shells.FilteredEndpointDistance
import OAI.MeasureTheory.Falconer.Estimates.ClassBadRecombination
import OAI.MeasureTheory.Falconer.Estimates.FinitePartitionMask

import OAI.MeasureTheory.Falconer.Estimates.RegularizationTestBad
import OAI.MeasureTheory.Falconer.Measures.PartitionMaskedMeasure
import OAI.MeasureTheory.Falconer.Shells.OriginalClassDistance
import OAI.MeasureTheory.Falconer.Estimates.RegularSourceClasses
import OAI.MeasureTheory.Falconer.Shells.FilteredClassShell
import OAI.MeasureTheory.Falconer.Estimates.ScopedMaskVariation
import OAI.MeasureTheory.Falconer.Shells.PartitionEndpointDistance
import OAI.MeasureTheory.Falconer.Estimates.RegularOuterMask
import OAI.MeasureTheory.Falconer.Measures.ProductPartitionMask
import OAI.MeasureTheory.Falconer.Estimates.ClassPairWeights
import OAI.MeasureTheory.Falconer.Estimates.PairExceptional
import OAI.MeasureTheory.Falconer.Estimates.RegularizationPairMask
import OAI.MeasureTheory.Falconer.Estimates.RegularizationPairBounds
import OAI.MeasureTheory.Falconer.Shells.ClassPairDistance
import OAI.MeasureTheory.Falconer.Shells.ClassPairShell
import OAI.MeasureTheory.Falconer.Shells.RegularizationScalarShell
import OAI.MeasureTheory.Falconer.Estimates.RegularizationVariation
import OAI.MeasureTheory.Falconer.Fourier.AssemblyCutoff

import OAI.MeasureTheory.Falconer.Estimates.TwoInputsMain
import OAI.MeasureTheory.Falconer.Geometry.EuclideanLpTrace
import OAI.MeasureTheory.Falconer.Radial.HyperplaneFrame
import OAI.MeasureTheory.Falconer.Radial.HyperplaneMixedEnergy
import OAI.MeasureTheory.Falconer.Radial.HyperplaneTrace
import OAI.MeasureTheory.Falconer.Fourier.EuclideanPolar
import OAI.MeasureTheory.Falconer.Geometry.SurfaceTestNorm
import OAI.MeasureTheory.Falconer.Radial.EuclideanRadialDensity
import OAI.MeasureTheory.Falconer.Fourier.EuclideanSmoothConvolution
import OAI.MeasureTheory.Falconer.Radial.AllDimensionalMollifiedRadialBound
import OAI.MeasureTheory.Falconer.Geometry.EuclideanWeakApproximation
import OAI.MeasureTheory.Falconer.Radial.RadialTestFatou
import OAI.MeasureTheory.Falconer.Estimates.OneInputMain
import OAI.MeasureTheory.Falconer.Incidence.PlanarBaselineIncidence
import OAI.MeasureTheory.Falconer.Estimates.TubeUniformization
import OAI.MeasureTheory.Falconer.Incidence.RegularizedTubePencils
import OAI.MeasureTheory.Falconer.Estimates.PlanarTreeUniformization
import OAI.MeasureTheory.Falconer.Estimates.QuantitativeDifferentiation
import OAI.MeasureTheory.Falconer.Recursion.ProfileLipschitz
import OAI.MeasureTheory.Falconer.Recursion.ProfileRestriction
import OAI.MeasureTheory.Falconer.Fourier.ProfileMergeCutoff
import OAI.MeasureTheory.Falconer.Recursion.ProfilePrefix
import OAI.MeasureTheory.Falconer.Recursion.ProfileDecomposition
import OAI.MeasureTheory.Falconer.Recursion.ProfileHighMass
import OAI.MeasureTheory.Falconer.Recursion.ProfileScaleSelection
import OAI.MeasureTheory.Falconer.Estimates.PointClassRatios
import OAI.MeasureTheory.Falconer.Recursion.ProfileGridThreshold
import OAI.MeasureTheory.Falconer.Recursion.LocalProfileRegularity
import OAI.MeasureTheory.Falconer.Incidence.BlockChordRegularity
import OAI.MeasureTheory.Falconer.Geometry.LocalPointBalls
import OAI.MeasureTheory.Falconer.Incidence.BlockGrid
import OAI.MeasureTheory.Falconer.Estimates.RowRegularity
import OAI.MeasureTheory.Falconer.Geometry.CommonSmallProjections
import OAI.MeasureTheory.Falconer.Measures.ProductProjectionReduction
import OAI.MeasureTheory.Falconer.Estimates.ScalarRuzsa
import OAI.MeasureTheory.Falconer.Geometry.ProjectionEnergy
import OAI.MeasureTheory.Falconer.Geometry.IntegerEnergyRefinement
import OAI.MeasureTheory.Falconer.Estimates.ScalarRestrictedSums
import OAI.MeasureTheory.Falconer.Estimates.ScalarMixedRefinement
import OAI.MeasureTheory.Falconer.Geometry.ScalarRuzsaCovering
import OAI.MeasureTheory.Falconer.Geometry.ScalarCoverStability
import OAI.MeasureTheory.Falconer.Estimates.ScalarCoefficientMul
import OAI.MeasureTheory.Falconer.Estimates.ScalarCoefficientNeg
import OAI.MeasureTheory.Falconer.Estimates.ScalarDilationBound
import OAI.MeasureTheory.Falconer.Geometry.ScalarProjectionComparison
import OAI.MeasureTheory.Falconer.Geometry.ScalarGridGain
import OAI.MeasureTheory.Falconer.Geometry.CommonNormalizedProjections
import OAI.MeasureTheory.Falconer.Geometry.ScalarGeneratedGrid
import OAI.MeasureTheory.Falconer.Estimates.ScalarWeakToUniform
import OAI.MeasureTheory.Falconer.Geometry.ScalarPowerNet
import OAI.MeasureTheory.Falconer.Estimates.ScalarTreeUniformization
import OAI.MeasureTheory.Falconer.Estimates.ScalarPorousTreeGain
import OAI.MeasureTheory.Falconer.Estimates.ScalarGroupedTreeGain
import OAI.MeasureTheory.Falconer.Estimates.ScalarBinaryGeometric
import OAI.MeasureTheory.Falconer.Estimates.ScalarInitialRegularization
import OAI.MeasureTheory.Falconer.Geometry.ScalarForkGeometry
import OAI.MeasureTheory.Falconer.Estimates.ScalarForwardRegularization
import OAI.MeasureTheory.Falconer.Estimates.ScalarLevelEnumeration

import OAI.MeasureTheory.Falconer.Estimates.ScalarSeparatedPathTree
import OAI.MeasureTheory.Falconer.Estimates.ScalarBunchingTotals
import OAI.MeasureTheory.Falconer.Measures.ScalarSingleChildPruning

import OAI.MeasureTheory.Falconer.Geometry.ScalarBunchProjection
import OAI.MeasureTheory.Falconer.Estimates.ScalarBunchMargins

import OAI.MeasureTheory.Falconer.Geometry.ScalarBunchNetGain
import OAI.MeasureTheory.Falconer.Recursion.ScalarTerminalPorousGain

import OAI.MeasureTheory.Falconer.Estimates.ScalarRegularizedGrowth

import OAI.MeasureTheory.Falconer.Estimates.ScalarBinaryParameters

import OAI.MeasureTheory.Falconer.Estimates.ScalarRegularizationBudget
import OAI.MeasureTheory.Falconer.Estimates.ScalarParameterChoice
import OAI.MeasureTheory.Falconer.Geometry.ScalarNonporousCover
import OAI.MeasureTheory.Falconer.Geometry.ScalarGrowthOfCover
import OAI.MeasureTheory.Falconer.Estimates.ScalarLossAbsorption
import OAI.MeasureTheory.Falconer.Measures.ScalarSubsetMass
import OAI.MeasureTheory.Falconer.Estimates.ScalarInitialGrowth
import OAI.MeasureTheory.Falconer.Incidence.ScalarBlockSumProduct
import OAI.MeasureTheory.Falconer.Estimates.ScalarSumsetLogBound
import OAI.MeasureTheory.Falconer.Incidence.ScalarWeakBlockProjection
import OAI.MeasureTheory.Falconer.Measures.ScalarDensityMassControl
import OAI.MeasureTheory.Falconer.Shells.ScalarPositiveZoom
import OAI.MeasureTheory.Falconer.Measures.ScalarSmallZoomMass
import OAI.MeasureTheory.Falconer.Geometry.ScalarNormalizedCoefficients
import OAI.MeasureTheory.Falconer.Estimates.ScalarCoefficientExpressions
import OAI.MeasureTheory.Falconer.Geometry.ScalarRationalProjection
import OAI.MeasureTheory.Falconer.Geometry.ScalarNormalizedProjection
import OAI.MeasureTheory.Falconer.Measures.ScalarDensityInverse
import OAI.MeasureTheory.Falconer.Estimates.ScalarCoefficientLogBudget
import OAI.MeasureTheory.Falconer.Geometry.ScalarNormalizedLogBudget
import OAI.MeasureTheory.Falconer.Geometry.ScalarNormalizationCost
import OAI.MeasureTheory.Falconer.Estimates.ScalarWeakScaleParameters
import OAI.MeasureTheory.Falconer.Estimates.ScalarDyadicPowers
import OAI.MeasureTheory.Falconer.Geometry.ScalarWeakProjection
import OAI.MeasureTheory.Falconer.Estimates.ScalarPointPaths
import OAI.MeasureTheory.Falconer.Estimates.ScalarRounding
import OAI.MeasureTheory.Falconer.Geometry.ScalarRoundingCovers
import OAI.MeasureTheory.Falconer.Geometry.ScalarRoundingBalls
import OAI.MeasureTheory.Falconer.Estimates.ScalarRoundingScale
import OAI.MeasureTheory.Falconer.Geometry.ScalarUnitProjection
import OAI.MeasureTheory.Falconer.Estimates.ScalarResolution
import OAI.MeasureTheory.Falconer.Estimates.ScalarScaleAlignment
import OAI.MeasureTheory.Falconer.Geometry.ScalarDyadicProjection
import OAI.MeasureTheory.Falconer.Radial.ScalarAffineCovers
import OAI.MeasureTheory.Falconer.Estimates.ScalarZoomBounds
import OAI.MeasureTheory.Falconer.Geometry.ScalarBoundedProjection
import OAI.MeasureTheory.Falconer.Graphs.GraphBallCover
import OAI.MeasureTheory.Falconer.Geometry.ScalarSmallSumCover
import OAI.MeasureTheory.Falconer.Graphs.GraphDensity
import OAI.MeasureTheory.Falconer.Graphs.GraphDensityRadius
import OAI.MeasureTheory.Falconer.Graphs.GraphReferenceZoom
import OAI.MeasureTheory.Falconer.Graphs.GraphScalarRegularity
import OAI.MeasureTheory.Falconer.Estimates.CommonRegularReference
import OAI.MeasureTheory.Falconer.Estimates.ScalarDivideCoefficient
import OAI.MeasureTheory.Falconer.Estimates.ScalarDivideBudget
import OAI.MeasureTheory.Falconer.Estimates.ScalarBoundedCoefficients
import OAI.MeasureTheory.Falconer.Estimates.ScalarRatioFamily
import OAI.MeasureTheory.Falconer.Estimates.ScalarReferenceObstruction
import OAI.MeasureTheory.Falconer.Graphs.RegularGraphObstruction
import OAI.MeasureTheory.Falconer.Graphs.RegularGraphCosts
import OAI.MeasureTheory.Falconer.Graphs.WeakGraphObstruction
import OAI.MeasureTheory.Falconer.Estimates.ScalarDilatedRefinement
import OAI.MeasureTheory.Falconer.Estimates.ScalarWeakRefinement
import OAI.MeasureTheory.Falconer.Graphs.DenseGraphParameters
import OAI.MeasureTheory.Falconer.Graphs.DenseGraphObstruction
import OAI.MeasureTheory.Falconer.Geometry.PlanarProjectionCoordinates
import OAI.MeasureTheory.Falconer.Slicing.CommonSliceSelection
import OAI.MeasureTheory.Falconer.Geometry.SeparatedProjectionBases
import OAI.MeasureTheory.Falconer.Geometry.ScalarMaxRatioProjection
import OAI.MeasureTheory.Falconer.Geometry.ScalarWeakRadiusProjection
import OAI.MeasureTheory.Falconer.Estimates.ScalarWeakReference
import OAI.MeasureTheory.Falconer.Graphs.RegularGraphRadiusObstruction
import OAI.MeasureTheory.Falconer.Graphs.RegularGraphRadiusCosts
import OAI.MeasureTheory.Falconer.Graphs.WeakGraphRadiusObstruction
import OAI.MeasureTheory.Falconer.Graphs.DenseGraphRadiusObstruction
import OAI.MeasureTheory.Falconer.Geometry.ProjectionCoordinateBalls
import OAI.MeasureTheory.Falconer.Geometry.UnbalancedRatioNormalization
import OAI.MeasureTheory.Falconer.Geometry.CommonUnbalancedProjections
import OAI.MeasureTheory.Falconer.Estimates.CommonUnbalancedReference
import OAI.MeasureTheory.Falconer.Graphs.RegularUnbalancedGraph
import OAI.MeasureTheory.Falconer.Graphs.WeakUnbalancedGraph
import OAI.MeasureTheory.Falconer.Estimates.ScalarUnbalancedRefinement
import OAI.MeasureTheory.Falconer.Graphs.DenseGraphComparableParameters
import OAI.MeasureTheory.Falconer.Graphs.DenseUnbalancedGraph
import OAI.MeasureTheory.Falconer.Geometry.PlanarScalarGrid
import OAI.MeasureTheory.Falconer.Geometry.PlanarGridRegularity
import OAI.MeasureTheory.Falconer.Graphs.CoordinateGraph
import OAI.MeasureTheory.Falconer.Geometry.GridProjectionTransfer
import OAI.MeasureTheory.Falconer.Geometry.ProjectionRatioGeometry
import OAI.MeasureTheory.Falconer.Geometry.ProjectionRatioRegularity
import OAI.MeasureTheory.Falconer.Estimates.PlanarQuarter
import OAI.MeasureTheory.Falconer.Geometry.BoundedProjectionCoordinates
import OAI.MeasureTheory.Falconer.Geometry.RoundedProjectionCoordinates
import OAI.MeasureTheory.Falconer.Graphs.RoundedProjectionGraph
import OAI.MeasureTheory.Falconer.Graphs.RoundedGraphCounts
import OAI.MeasureTheory.Falconer.Graphs.CoordinateGraphObstruction
import OAI.MeasureTheory.Falconer.Graphs.RoundedGraphData
import OAI.MeasureTheory.Falconer.Geometry.ProjectionRatioBounds
import OAI.MeasureTheory.Falconer.Estimates.RoundedPlanarObstruction
import OAI.MeasureTheory.Falconer.Geometry.PlanarGridScales
import OAI.MeasureTheory.Falconer.Geometry.PlanarGridCosts
import OAI.MeasureTheory.Falconer.Geometry.CommonProjectionConfiguration
import OAI.MeasureTheory.Falconer.Estimates.PlanarCommonBudget
import OAI.MeasureTheory.Falconer.Recursion.PlanarWeakDepth
import OAI.MeasureTheory.Falconer.Estimates.PlanarWeakParameters
import OAI.MeasureTheory.Falconer.Graphs.PlanarGraphBudgetApplication
import OAI.MeasureTheory.Falconer.Geometry.CommonProjectionLosses
import OAI.MeasureTheory.Falconer.Geometry.RegularSmallProjections
import OAI.MeasureTheory.Falconer.Incidence.RegularProductIncidence
import OAI.MeasureTheory.Falconer.Measures.RegularProductParameters
import OAI.MeasureTheory.Falconer.Measures.RegularProductPower

import OAI.MeasureTheory.Falconer.Estimates.TubePacketDilation
import OAI.MeasureTheory.Falconer.Estimates.FiniteNearbyImages
import OAI.MeasureTheory.Falconer.Incidence.RoundedRowPencils
import OAI.MeasureTheory.Falconer.Graphs.CommonRowNormalization
import OAI.MeasureTheory.Falconer.Incidence.NormalizedProductPencils
import OAI.MeasureTheory.Falconer.Incidence.WideProductIncidence

import OAI.MeasureTheory.Falconer.Measures.WideProductParameters
import OAI.MeasureTheory.Falconer.Measures.WideProductPower
import OAI.MeasureTheory.Falconer.Geometry.FiniteProjectionSublevels
import OAI.MeasureTheory.Falconer.Recursion.FiniteCriticalPotential
import OAI.MeasureTheory.Falconer.Recursion.FiniteProjectionPotential
import OAI.MeasureTheory.Falconer.Angular.GoodProjectionDirections
import OAI.MeasureTheory.Falconer.Estimates.ProjectedSubsetRegularity
import OAI.MeasureTheory.Falconer.Geometry.FiniteWeightedProjectionSample
import OAI.MeasureTheory.Falconer.Geometry.RobustProjectionSets
import OAI.MeasureTheory.Falconer.Incidence.PacketRowPencils
import OAI.MeasureTheory.Falconer.Estimates.ProjectedPacketRows
import OAI.MeasureTheory.Falconer.Measures.PacketProductPower
import OAI.MeasureTheory.Falconer.Estimates.LocalPacketRows
import OAI.MeasureTheory.Falconer.Geometry.ProjectionSampleBudget
import OAI.MeasureTheory.Falconer.Geometry.ProjectionPowerBudget
import OAI.MeasureTheory.Falconer.Estimates.SampledPacketRows
import OAI.MeasureTheory.Falconer.Estimates.SampledRowCardinality
import OAI.MeasureTheory.Falconer.Estimates.PacketLocalEnergyGain

import OAI.MeasureTheory.Falconer.Estimates.PacketCentering
import OAI.MeasureTheory.Falconer.Estimates.PacketResidualRows
import OAI.MeasureTheory.Falconer.Estimates.DirectedPacketRows
import OAI.MeasureTheory.Falconer.Incidence.CenteredPacketPencils
import OAI.MeasureTheory.Falconer.Incidence.PencilDirections
import OAI.MeasureTheory.Falconer.Incidence.GoodPencilDirections
import OAI.MeasureTheory.Falconer.Recursion.PlanarCriticalPotential
import OAI.MeasureTheory.Falconer.Incidence.PencilFiberEnergy
import OAI.MeasureTheory.Falconer.Estimates.FiniteEnergyRegularity
import OAI.MeasureTheory.Falconer.Incidence.PencilEnergyPruning
import OAI.MeasureTheory.Falconer.Incidence.PencilSecondMoment
import OAI.MeasureTheory.Falconer.Incidence.RegularEnergyPencils
import OAI.MeasureTheory.Falconer.Estimates.SelectedRegularFiber
import OAI.MeasureTheory.Falconer.Estimates.GeometricRegularFiber
import OAI.MeasureTheory.Falconer.Geometry.TubeFiberCoordinates

import OAI.MeasureTheory.Falconer.Estimates.WeightedDyadicRegularity
import OAI.MeasureTheory.Falconer.Incidence.CoarsePencilWeights
import OAI.MeasureTheory.Falconer.Incidence.RegularCoarsePencils
import OAI.MeasureTheory.Falconer.Incidence.CoarsePacketPoints
import OAI.MeasureTheory.Falconer.Estimates.CoarsePlanarRounding
import OAI.MeasureTheory.Falconer.Estimates.RegularCoarseCells
import OAI.MeasureTheory.Falconer.Estimates.IncidentCoarseRounding
import OAI.MeasureTheory.Falconer.Incidence.IncidentCoarsePencils

import OAI.MeasureTheory.Falconer.Incidence.FrozenPacketSelection
import OAI.MeasureTheory.Falconer.Estimates.FinePacketCounts
import OAI.MeasureTheory.Falconer.Incidence.FrozenPacketRegularity
import OAI.MeasureTheory.Falconer.Incidence.VariableBaselineIncidence
import OAI.MeasureTheory.Falconer.Incidence.FinerPencilDirections
import OAI.MeasureTheory.Falconer.Estimates.GoodRegularFiber
import OAI.MeasureTheory.Falconer.Incidence.CoarserPencilDirections
import OAI.MeasureTheory.Falconer.Estimates.PacketGoodRegularFiber
import OAI.MeasureTheory.Falconer.Estimates.CenteredPacketPower
import OAI.MeasureTheory.Falconer.Estimates.DirectedSampledRows
import OAI.MeasureTheory.Falconer.Estimates.CenteredPacketGain

import OAI.MeasureTheory.Falconer.Estimates.LocalPacketRegularity
import OAI.MeasureTheory.Falconer.Estimates.QuantitativePacketPoints
import OAI.MeasureTheory.Falconer.Incidence.LocalPencilPacketGain
import OAI.MeasureTheory.Falconer.Radial.HeavyCellRegularity
import OAI.MeasureTheory.Falconer.Geometry.RegularCoordinateRows
import OAI.MeasureTheory.Falconer.Estimates.FiberRegularityBudget
import OAI.MeasureTheory.Falconer.Estimates.GoodCoarseRows
import OAI.MeasureTheory.Falconer.Incidence.CoarsePacketGain

import OAI.MeasureTheory.Falconer.Incidence.CoarsePencilSize
import OAI.MeasureTheory.Falconer.Estimates.PacketParameterBounds
import OAI.MeasureTheory.Falconer.Estimates.PacketPolynomialLoss
import OAI.MeasureTheory.Falconer.Estimates.PacketSamplingBudget
import OAI.MeasureTheory.Falconer.Estimates.PacketCardinalityScales
import OAI.MeasureTheory.Falconer.Incidence.CoarsePacketParameters
import OAI.MeasureTheory.Falconer.Incidence.WeakCoarsePacketGain
import OAI.MeasureTheory.Falconer.Incidence.CoarseCellPencils
import OAI.MeasureTheory.Falconer.Radial.HeavyPacketCells
import OAI.MeasureTheory.Falconer.Incidence.FrozenPacketUpper
import OAI.MeasureTheory.Falconer.Incidence.UniformSmallCoverPencils
import OAI.MeasureTheory.Falconer.Estimates.PacketGrowthGap

import OAI.MeasureTheory.Falconer.Incidence.OriginalCoarsePackets
import OAI.MeasureTheory.Falconer.Incidence.FrozenCoarseObstruction
import OAI.MeasureTheory.Falconer.Estimates.PacketLogBounds
import OAI.MeasureTheory.Falconer.Estimates.SmallUnionLogs
import OAI.MeasureTheory.Falconer.Incidence.FrozenCoarseConfiguration
import OAI.MeasureTheory.Falconer.Recursion.RegularPacketScaleBudget
import OAI.MeasureTheory.Falconer.Estimates.UniformPacketBounds
import OAI.MeasureTheory.Falconer.Estimates.CoarseFreezingBudget

import OAI.MeasureTheory.Falconer.Estimates.RegularCoarsePreparation
import OAI.MeasureTheory.Falconer.Estimates.RegularSetAlternative
import OAI.MeasureTheory.Falconer.Estimates.GeneralRegularSetAlternative

import OAI.MeasureTheory.Falconer.Estimates.LocalCellLines
import OAI.MeasureTheory.Falconer.Incidence.LocalCellIncidence
import OAI.MeasureTheory.Falconer.Estimates.CommonTubePacking
import OAI.MeasureTheory.Falconer.Estimates.InterpolatedTubeKernel
import OAI.MeasureTheory.Falconer.Incidence.InterpolatedIncidence
import OAI.MeasureTheory.Falconer.Estimates.PacketScaleCombination
import OAI.MeasureTheory.Falconer.Incidence.RetainedCoarseIncidences
import OAI.MeasureTheory.Falconer.Geometry.RetainedCoarseCover
import OAI.MeasureTheory.Falconer.Measures.CellRefinementMass
import OAI.MeasureTheory.Falconer.Estimates.RegularCellConfiguration

import OAI.MeasureTheory.Falconer.Estimates.RetainedRegularCells
import OAI.MeasureTheory.Falconer.Incidence.ComparableFrozenPencils
import OAI.MeasureTheory.Falconer.Estimates.TwoScaleRatio
import OAI.MeasureTheory.Falconer.Estimates.RegularScaleCoefficients
import OAI.MeasureTheory.Falconer.Estimates.RegularRefinementBound
import OAI.MeasureTheory.Falconer.Estimates.RegularRefinementData
import OAI.MeasureTheory.Falconer.Estimates.RegularRefinementContradiction
import OAI.MeasureTheory.Falconer.Estimates.BuildRegularRefinement
import OAI.MeasureTheory.Falconer.Estimates.RegularRefinementPreparation
import OAI.MeasureTheory.Falconer.Estimates.RegularFineGain
import OAI.MeasureTheory.Falconer.Estimates.GeneralRegularFineGain

import OAI.MeasureTheory.Falconer.Estimates.PacketRepresentativeBand
import OAI.MeasureTheory.Falconer.Angular.LocalDirectionPackets
import OAI.MeasureTheory.Falconer.Estimates.LocalLineResolution
import OAI.MeasureTheory.Falconer.Estimates.RescaledCellPackets
import OAI.MeasureTheory.Falconer.Incidence.FrozenPacketProduct
import OAI.MeasureTheory.Falconer.Measures.RescaledScaleProduct
import OAI.MeasureTheory.Falconer.Incidence.UniformFrozenCells
import OAI.MeasureTheory.Falconer.Estimates.UniformScaleCombination

import OAI.MeasureTheory.Falconer.Geometry.FinitePrefixBallBound
import OAI.MeasureTheory.Falconer.Geometry.FinitePrefixCover
import OAI.MeasureTheory.Falconer.Incidence.BlockPrefixBallBound
import OAI.MeasureTheory.Falconer.Geometry.RelativePrefixBallBound
import OAI.MeasureTheory.Falconer.Incidence.BlockDepthBracket
import OAI.MeasureTheory.Falconer.Incidence.RelativeBlockBallBound
import OAI.MeasureTheory.Falconer.Incidence.BlockProfileBallBound
import OAI.MeasureTheory.Falconer.Geometry.LocalPrefixCover
import OAI.MeasureTheory.Falconer.Incidence.BlockProfileCover
import OAI.MeasureTheory.Falconer.Incidence.BlockChordGeometry
import OAI.MeasureTheory.Falconer.Incidence.QuarterPencilGeometry
import OAI.MeasureTheory.Falconer.Geometry.QuarterCoarseCover
import OAI.MeasureTheory.Falconer.Incidence.QuarterPencils
import OAI.MeasureTheory.Falconer.Geometry.ChartGainBudget
import OAI.MeasureTheory.Falconer.Geometry.QuarterChartFineGain
import OAI.MeasureTheory.Falconer.Geometry.BoundedChartFineGain
import OAI.MeasureTheory.Falconer.Geometry.TruncatedChordGeometry
import OAI.MeasureTheory.Falconer.Incidence.CriticalPencilIncidence
import OAI.MeasureTheory.Falconer.Geometry.NormalizedRegularGain
import OAI.MeasureTheory.Falconer.Geometry.FullChartRegularGain
import OAI.MeasureTheory.Falconer.Estimates.RefinedPlanarClass
import OAI.MeasureTheory.Falconer.Geometry.RetainedEndpointGeometry
import OAI.MeasureTheory.Falconer.Geometry.HalfSlopeGrid
import OAI.MeasureTheory.Falconer.Incidence.NormalProfileIncidence
import OAI.MeasureTheory.Falconer.Incidence.GoodProfileIncidence
import OAI.MeasureTheory.Falconer.Measures.EndpointScaleProduct
import OAI.MeasureTheory.Falconer.Estimates.RefinedEndpointSelection
import OAI.MeasureTheory.Falconer.Recursion.ParentProfileBounds
import OAI.MeasureTheory.Falconer.Incidence.ProfileBlockBudget
import OAI.MeasureTheory.Falconer.Estimates.DyadicPolynomialBudget
import OAI.MeasureTheory.Falconer.Incidence.IncidenceProductChain
import OAI.MeasureTheory.Falconer.Incidence.ParentQuarterIncidence
import OAI.MeasureTheory.Falconer.Estimates.ParentRefinedEndpointSelection
import OAI.MeasureTheory.Falconer.Recursion.ProfileIterationBudget
import OAI.MeasureTheory.Falconer.Recursion.ProfileNormalBound
import OAI.MeasureTheory.Falconer.Recursion.ProfileGoodBound
import OAI.MeasureTheory.Falconer.Recursion.ProfileUniformIterationBudget
import OAI.MeasureTheory.Falconer.Recursion.OrderedEndpointIntervals
import OAI.MeasureTheory.Falconer.Incidence.BlockIntervalLengths
import OAI.MeasureTheory.Falconer.Recursion.ProfileGeometryPower
import OAI.MeasureTheory.Falconer.Recursion.ProfileGainAccounting
import OAI.MeasureTheory.Falconer.Incidence.BlockCellGoodGain
import OAI.MeasureTheory.Falconer.Recursion.ProfileApplicationBudget
import OAI.MeasureTheory.Falconer.Recursion.RoundedProfileGain
import OAI.MeasureTheory.Falconer.Incidence.LeafIncidenceGain
import OAI.MeasureTheory.Falconer.Incidence.LeafCenterIncidence
import OAI.MeasureTheory.Falconer.Estimates.ScaleThinning
import OAI.MeasureTheory.Falconer.Incidence.LeafPencilTransport
import OAI.MeasureTheory.Falconer.Incidence.LeafPrefixPower
import OAI.MeasureTheory.Falconer.Incidence.CenteredPlanarIncidence
import OAI.MeasureTheory.Falconer.Incidence.IncidenceScaleChoice
import OAI.MeasureTheory.Falconer.Incidence.CoarseSquashedPencils
import OAI.MeasureTheory.Falconer.Incidence.OriginalPencilEqualization
import OAI.MeasureTheory.Falconer.Incidence.IncidenceBucketBudget
import OAI.MeasureTheory.Falconer.Incidence.OriginalBlockIncidence
import OAI.MeasureTheory.Falconer.Incidence.IncidencePowerBudget
import OAI.MeasureTheory.Falconer.Estimates.OriginalWeakCosts
import OAI.MeasureTheory.Falconer.Campaign123PlanarFurstenbergProof

/-!
# The Falconer distance conjecture in all dimensions

The all-dimensional theorem follows from planar Furstenberg incidence,
higher-dimensional angular estimates, graph bounds and reconstruction of
the original distance measure. The conditional implication from the planar
Furstenberg estimate is also formalized.
-/