OAI/Geometry/BallPacking/Necessity/AffineSlopes.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.HigherDimensionalBallPacking.Rigidity.stdDot_I_smul_self line 38
  2. def OAI.HigherDimensionalBallPacking.Rigidity.affineError line 44
  3. theorem OAI.HigherDimensionalBallPacking.Rigidity.affineError_smooth line 47
  4. theorem OAI.HigherDimensionalBallPacking.Rigidity.dirichlet_le_affineError line 50
  5. theorem OAI.HigherDimensionalBallPacking.Rigidity.integral_constant_square line 67
  6. theorem OAI.HigherDimensionalBallPacking.Rigidity.squareEnergy_le_affineError line 75
  7. theorem OAI.HigherDimensionalBallPacking.Rigidity.sqrt_squareEnergy_le_affineError line 95
  8. theorem OAI.HigherDimensionalBallPacking.Rigidity.projection_squareMean_error line 109
  9. theorem OAI.HigherDimensionalBallPacking.Rigidity.exists_morrey_scale line 137
  10. theorem OAI.HigherDimensionalBallPacking.Rigidity.projection_dyadic_bound line 148
  11. theorem OAI.HigherDimensionalBallPacking.Rigidity.affine_slope_bound line 175
  12. theorem OAI.HigherDimensionalBallPacking.Rigidity.euclideanNorm_I_smul line 237
  13. theorem OAI.HigherDimensionalBallPacking.Rigidity.projection_affine_abs_bound line 242
  14. theorem OAI.HigherDimensionalBallPacking.Rigidity.affine_local_bound line 260
  15. theorem OAI.HigherDimensionalBallPacking.Rigidity.homotopy_common_affine_carrier line 300
  16. theorem OAI.HigherDimensionalBallPacking.Rigidity.uniform_affine_bound line 340
  17. theorem OAI.HigherDimensionalBallPacking.Rigidity.squareMean_translate_local_bound line 366
  18. theorem OAI.HigherDimensionalBallPacking.Rigidity.projection_translate_local_bound line 457
  19. theorem OAI.HigherDimensionalBallPacking.Rigidity.planeSquare_subset_origin line 497
  20. theorem OAI.HigherDimensionalBallPacking.Rigidity.squareEnergy_le_origin line 508
  21. theorem OAI.HigherDimensionalBallPacking.Rigidity.marked_distance_le_energy line 515
  22. theorem OAI.HigherDimensionalBallPacking.Rigidity.scaled_sqrt_energy_bound line 544
  23. theorem OAI.HigherDimensionalBallPacking.Rigidity.exists_positive_slope_bound line 569
  24. theorem OAI.HigherDimensionalBallPacking.Rigidity.homotopy_slopes_bounded_below line 589