OAI/Geometry/BallPacking/Necessity/DensityBounds.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.HigherDimensionalBallPacking.Rigidity.entire_weak_affine line 39
  2. def OAI.HigherDimensionalBallPacking.Rigidity.densityCurve line 63
  3. def OAI.HigherDimensionalBallPacking.Rigidity.densitySlope line 67
  4. theorem OAI.HigherDimensionalBallPacking.Rigidity.affineLine_density_representation line 71
  5. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_zero line 115
  6. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_one line 119
  7. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_contDiff line 123
  8. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_curl line 130
  9. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_injective line 145
  10. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_leading line 155
  11. theorem OAI.HigherDimensionalBallPacking.Rigidity.affineLine_density_slope_ne line 176
  12. theorem OAI.HigherDimensionalBallPacking.Rigidity.densitySlope_continuous line 186
  13. theorem OAI.HigherDimensionalBallPacking.Rigidity.affineHolderModuli_iff line 193
  14. theorem OAI.HigherDimensionalBallPacking.Rigidity.compactCRInverseValue_eq_of_value_eq line 216
  15. theorem OAI.HigherDimensionalBallPacking.Rigidity.compactCRInverseValue_zero line 226
  16. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityCurve_zero_density line 230
  17. theorem OAI.HigherDimensionalBallPacking.Rigidity.zero_mem_affineHolderModuli line 236
  18. def OAI.HigherDimensionalBallPacking.Rigidity.densityAffineSize line 244
  19. theorem OAI.HigherDimensionalBallPacking.Rigidity.densityAffineSize_continuous line 247
  20. theorem OAI.HigherDimensionalBallPacking.Rigidity.uniform_density_bounds line 252