OAI/Combinatorics/StripMass/NorthBijection.lean

GitHub source file

60 declarations, 0 contain sorry, 0 declared as axioms

Critical honeycomb strip paths, polynomial identities and crossing mass.

  1. lemma OAI.CriticalStrip.Diagram.ColumnChain.read_ofFn line 16
  2. lemma OAI.CriticalStrip.SewnRectangle.clips_left line 24
  3. lemma OAI.CriticalStrip.SewnRectangle.clips_right line 30
  4. lemma OAI.CriticalStrip.SewnRectangle.fits_ofFn line 36
  5. structure OAI.CriticalStrip.CrossTopArch line 47
  6. lemma OAI.CriticalStrip.CrossTopArch.ext line 55
  7. def OAI.CriticalStrip.CrossTopArch.Fits line 69
  8. def OAI.CriticalStrip.CrossTopArch.weight line 71
  9. lemma OAI.CriticalStrip.CrossTopArch.exists_fits line 73
  10. abbrev OAI.CriticalStrip.CrossTopArch.Bounded line 77
  11. structure OAI.CriticalStrip.NorthHistory line 83
  12. lemma OAI.CriticalStrip.NorthHistory.ext line 95
  13. instance OAI.CriticalStrip.NorthHistory.(instance at line 98) line 98
  14. def OAI.CriticalStrip.NorthHistory.leftState line 101
  15. def OAI.CriticalStrip.NorthHistory.rightState line 103
  16. lemma OAI.CriticalStrip.NorthHistory.runs_left line 106
  17. lemma OAI.CriticalStrip.NorthHistory.runs_right line 110
  18. lemma OAI.CriticalStrip.NorthHistory.glues line 114
  19. lemma OAI.CriticalStrip.NorthHistory.shape_left_exists line 117
  20. lemma OAI.CriticalStrip.NorthHistory.shape_right_exists line 124
  21. def OAI.CriticalStrip.NorthHistory.ls line 131
  22. def OAI.CriticalStrip.NorthHistory.rs line 133
  23. lemma OAI.CriticalStrip.NorthHistory.ls_spec line 135
  24. lemma OAI.CriticalStrip.NorthHistory.rs_spec line 140
  25. def OAI.CriticalStrip.NorthHistory.toCross line 147
  26. lemma OAI.CriticalStrip.NorthHistory.toCross_extend line 154
  27. lemma OAI.CriticalStrip.NorthHistory.toCross_fits line 162
  28. def OAI.CriticalStrip.NorthHistory.ofCross line 173
  29. lemma OAI.CriticalStrip.NorthHistory.ofCross_toCross line 180
  30. lemma OAI.CriticalStrip.NorthHistory.toCross_ofCross line 186
  31. def OAI.CriticalStrip.NorthHistory.equivCross line 202
  32. def OAI.CriticalStrip.NorthHistory.weight line 208
  33. lemma OAI.CriticalStrip.NorthHistory.ofCross_weight line 212
  34. lemma OAI.CriticalStrip.NorthHistory.toCross_weight line 216
  35. lemma OAI.CriticalStrip.Diagram.augmentedReversed_nonnegative line 234
  36. lemma OAI.CriticalStrip.Diagram.augmentedReversed_vacuum_block line 238
  37. lemma OAI.CriticalStrip.Diagram.augmentedReversed_source_block line 248
  38. theorem OAI.CriticalStrip.Diagram.reversed_vacuum_summablePowers line 256
  39. theorem OAI.CriticalStrip.Diagram.reversed_source_summablePowers line 263
  40. lemma OAI.CriticalStrip.Diagram.reversed_column_nonnegative line 270
  41. lemma OAI.CriticalStrip.Diagram.reversed_source_nonnegative line 275
  42. lemma OAI.CriticalStrip.Diagram.reversed_angleScalar_ne_zero line 280
  43. lemma OAI.CriticalStrip.Diagram.reversed_L_ne_zero line 285
  44. theorem OAI.CriticalStrip.Diagram.reversed_vacuum_eq_tsum line 289
  45. theorem OAI.CriticalStrip.Diagram.reversed_vacuum_nonneg line 299
  46. theorem OAI.CriticalStrip.Diagram.reversed_northSource_eq_tsum line 308
  47. theorem OAI.CriticalStrip.Diagram.reversed_source_weighted_summable line 317
  48. theorem OAI.CriticalStrip.Diagram.angleVacuum_real line 330
  49. theorem OAI.CriticalStrip.Diagram.angleNorthSource_real line 360
  50. lemma OAI.CriticalStrip.Diagram.physical_northSource_real line 380
  51. lemma OAI.CriticalStrip.Diagram.reversed_northSource_real line 387
  52. lemma OAI.CriticalStrip.Diagram.angleEvaluation_reflect line 394
  53. def OAI.CriticalStrip.Diagram.realNorthSeparator line 435
  54. lemma OAI.CriticalStrip.Diagram.physical_angleScalar line 439
  55. lemma OAI.CriticalStrip.Diagram.reversed_angleScalar line 445
  56. lemma OAI.CriticalStrip.Diagram.physical_polynomialNorthSource line 451
  57. lemma OAI.CriticalStrip.Diagram.reversed_polynomialNorthSource line 459
  58. lemma OAI.CriticalStrip.Diagram.polynomialNorthGluing_physical line 467
  59. lemma OAI.CriticalStrip.Diagram.archCandidate_physical line 489
  60. theorem OAI.CriticalStrip.Diagram.realNorthSeparator_arch line 506