| 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 |
|
|
