import OAI.Geometry.CylinderCovering.Angular.Admissibility import OAI.Geometry.CylinderCovering.Angular.Aperture import OAI.Geometry.CylinderCovering.Angular.Cubic import OAI.Geometry.CylinderCovering.Angular.CubicEstimates import OAI.Geometry.CylinderCovering.Angular.EqualPartition import OAI.Geometry.CylinderCovering.Angular.GeneralArea import OAI.Geometry.CylinderCovering.Angular.GeneralCap import OAI.Geometry.CylinderCovering.Beams.FullStatement import OAI.Geometry.CylinderCovering.Beams.PositivePart import OAI.Geometry.CylinderCovering.Beams.RectangleCylinder import OAI.Geometry.CylinderCovering.Caps.CoverageBounds import OAI.Geometry.CylinderCovering.Caps.FiniteCylinders import OAI.Geometry.CylinderCovering.Convexity.CanonicalRegularSimilarity import OAI.Geometry.CylinderCovering.Convexity.CompactParallelogramCover import OAI.Geometry.CylinderCovering.Convexity.ConvexPerturbationInverse import OAI.Geometry.CylinderCovering.Convexity.FiniteCauchyVariation import OAI.Geometry.CylinderCovering.Convexity.FinitePlaneMeasure import OAI.Geometry.CylinderCovering.Convexity.GeneralCapFamily import OAI.Geometry.CylinderCovering.Convexity.GeneralCapScalarHelpers import OAI.Geometry.CylinderCovering.Convexity.InverseSqrtBounds import OAI.Geometry.CylinderCovering.Convexity.OpenThickening import OAI.Geometry.CylinderCovering.Convexity.RegularSimilarityBasis import OAI.Geometry.CylinderCovering.Convexity.SpectralNormComparison import OAI.Geometry.CylinderCovering.Convexity.ThresholdInverse import OAI.Geometry.CylinderCovering.Cubic.ScalarEstimates import OAI.Geometry.CylinderCovering.Footprints.Limits import OAI.Geometry.CylinderCovering.Nilpotent.ExplicitCorollaries import OAI.Geometry.CylinderCovering.Nilpotent.ZeroProfile import OAI.Geometry.CylinderCovering.Physical.HalfTilt import OAI.Geometry.CylinderCovering.Physical.MinimumExamples import OAI.Geometry.CylinderCovering.Radial.Alignment import OAI.Geometry.CylinderCovering.Rational.Bundle import OAI.Geometry.CylinderCovering.Rational.NormalizedCost import OAI.Geometry.CylinderCovering.Rational.PotentialExamples import OAI.Geometry.CylinderCovering.Rational.StrictInverse import OAI.Geometry.CylinderCovering.Rational.UncenteredCoefficients import OAI.Geometry.CylinderCovering.Results import OAI.Geometry.CylinderCovering.Simplex.ZeroShift namespace OAI namespace CylinderCovering theorem fourPaperMain : AngularExplicitStatement ∧ RuledApproximation.HyperbolicStatement ∧ RuledApproximation.NilpotentC1Statement ∧ RegularParallelogramCounterexampleStatement ∧ RegularOpenCounterexampleStatement ∧ RadialSweep.AlignedStatement ∧ RadialSweep.ActualSweepStatement := by exact ⟨angularExplicit, ruledHistorical.1, nilpotentC1, regularParallelogramCounterexample, regularOpenCounterexample, radialAligned, radialActualSweep⟩ end CylinderCovering end OAI