OAI/Geometry/BallPacking/DiskMaps/SmoothConvexSelection.lean

GitHub source file

43 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.PackingSufficiencySupport.Hamiltonian.exists_smooth_convex_selection line 15
  2. theorem OAI.PackingSufficiencySupport.Hamiltonian.exists_strict_interval_extension line 41
  3. theorem OAI.PackingSufficiencySupport.Hamiltonian.exists_strict_nested_intervals line 53
  4. def OAI.PackingSufficiencySupport.Hamiltonian.StrictNestedStarts line 113
  5. def OAI.PackingSufficiencySupport.Hamiltonian.IntervalPlacements line 116
  6. theorem OAI.PackingSufficiencySupport.Hamiltonian.intervalPlacements_convex line 119
  7. theorem OAI.PackingSufficiencySupport.Hamiltonian.exists_smooth_nested_intervals line 147
  8. def OAI.PackingSufficiencySupport.Hamiltonian.RoundedMargins line 188
  9. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedMargins_open line 196
  10. theorem OAI.PackingSufficiencySupport.Hamiltonian.exists_exact_area_rounded_margins line 225
  11. theorem OAI.PackingSufficiencySupport.Hamiltonian.exists_thin_rectangle_placement line 258
  12. def OAI.PackingSufficiencySupport.Hamiltonian.box line 319
  13. def OAI.PackingSufficiencySupport.Hamiltonian.openBox line 322
  14. def OAI.PackingSufficiencySupport.Hamiltonian.roundedMap line 325
  15. def OAI.PackingSufficiencySupport.Hamiltonian.roundedBox line 328
  16. theorem OAI.PackingSufficiencySupport.Hamiltonian.affineRectangle_injective line 331
  17. theorem OAI.PackingSufficiencySupport.Hamiltonian.affineRectangle_smooth line 339
  18. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedMap_smooth line 343
  19. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedMap_injective line 347
  20. theorem OAI.PackingSufficiencySupport.Hamiltonian.affineRectangle_fderiv line 351
  21. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedMap_det line 355
  22. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedMap_det_pos line 364
  23. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedMap_mem_openBox line 369
  24. theorem OAI.PackingSufficiencySupport.Hamiltonian.box_subset_roundedBox line 379
  25. theorem OAI.PackingSufficiencySupport.Hamiltonian.openBox_subset_interior_roundedBox line 398
  26. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedBox_compact line 405
  27. theorem OAI.PackingSufficiencySupport.Hamiltonian.roundedBox_volume line 409
  28. theorem OAI.PackingSufficiencySupport.Hamiltonian.isInvertible_of_det_ne_zero line 427
  29. theorem OAI.PackingSufficiencySupport.Hamiltonian.smooth_map_nhds_eq line 430
  30. theorem OAI.PackingSufficiencySupport.Hamiltonian.image_interior_subset_of_det_ne_zero line 437
  31. theorem OAI.PackingSufficiencySupport.Hamiltonian.det_fderiv_conjugate line 449
  32. def OAI.PackingSufficiencySupport.Hamiltonian.FitsPolar line 465
  33. theorem OAI.PackingSufficiencySupport.Hamiltonian.openBox_subset_polar line 468
  34. def OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedMap line 473
  35. def OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedDisk line 476
  36. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedMap_injective line 479
  37. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedMap_smooth line 486
  38. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedMap_det line 493
  39. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedMap_det_pos line 504
  40. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedMap_capacity line 510
  41. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedDisk_volume line 515
  42. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedDisk_nested line 526
  43. theorem OAI.PackingSufficiencySupport.Hamiltonian.polarRoundedFamily_smoothOn line 545