OAI/CategoryTheory/Thomason/CylinderWeights.lean

GitHub source file

85 declarations, 0 contain sorry, 0 declared as axioms

Cylinder Weights.

  1. lemma OAI.Thomason.GrayRecursive.IntervalHom.face_false line 16
  2. lemma OAI.Thomason.GrayRecursive.IntervalHom.bounded_iff_fixed line 20
  3. lemma OAI.Thomason.GrayRecursive.IntervalHom.restrictCylinder_post line 24
  4. def OAI.Thomason.GrayRecursive.IntervalHom.mapCell line 29
  5. lemma OAI.Thomason.GrayRecursive.IntervalHom.eval_mapCell line 35
  6. lemma OAI.Thomason.GrayRecursive.IntervalHom.mapCell_ofMap line 38
  7. lemma OAI.Thomason.GrayRecursive.IntervalHom.mapCell_face line 42
  8. lemma OAI.Thomason.GrayRecursive.IntervalHom.mapCell_comp line 48
  9. def OAI.Thomason.GrayRecursive.IntervalHom.mapFunctor line 62
  10. def OAI.Thomason.GrayRecursive.IntervalHom.functor line 68
  11. def OAI.Thomason.GrayRecursive.IntervalHom.cellsEquiv line 74
  12. lemma OAI.Thomason.GrayRecursive.IntervalHom.presentation_separates line 91
  13. def OAI.Thomason.GrayRecursive.IntervalHom.TensorGenerator line 103
  14. def OAI.Thomason.GrayRecursive.IntervalHom.tensorPresentation line 105
  15. lemma OAI.Thomason.GrayRecursive.IntervalHom.functor_cell_bounded line 113
  16. def OAI.Thomason.GrayRecursive.IntervalHom.tensorInterpretation line 118
  17. def OAI.Thomason.GrayRecursive.IntervalHom.generatorCylinder line 127
  18. lemma OAI.Thomason.GrayRecursive.IntervalHom.generatorCylinder_interpretation line 154
  19. lemma OAI.Thomason.GrayRecursive.IntervalHom.ofMap_generator_image line 161
  20. def OAI.Thomason.GrayRecursive.IntervalHom.tensorUnitCell line 169
  21. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorUnitCell_image line 172
  22. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorUnitCell_of_bounded line 179
  23. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorUnitCell_source line 186
  24. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorUnitCell_target line 196
  25. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorUnitCell_comp line 206
  26. def OAI.Thomason.GrayRecursive.IntervalHom.tensorUnit line 226
  27. def OAI.Thomason.GrayRecursive.IntervalHom.uncurry line 244
  28. def OAI.Thomason.GrayRecursive.IntervalHom.curry line 248
  29. lemma OAI.Thomason.GrayRecursive.IntervalHom.curry_uncurry line 252
  30. lemma OAI.Thomason.GrayRecursive.IntervalHom.curry_eval line 257
  31. lemma OAI.Thomason.GrayRecursive.IntervalHom.uncurry_curry line 264
  32. def OAI.Thomason.GrayRecursive.IntervalHom.homEquiv line 269
  33. lemma OAI.Thomason.GrayRecursive.IntervalHom.homEquiv_natural line 276
  34. def OAI.Thomason.GrayRecursive.IntervalHom.tensorFunctor line 279
  35. def OAI.Thomason.GrayRecursive.IntervalHom.tensorAdjunction line 282
  36. instance OAI.Thomason.GrayRecursive.IntervalHom.tensorFunctor_isLeftAdjoint line 285
  37. instance OAI.Thomason.GrayRecursive.IntervalHom.tensorFunctor_preservesColimits line 286
  38. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorFunctor_obj line 289
  39. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorFunctor_map_generator line 291
  40. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointTop_bounded line 309
  41. def OAI.Thomason.GrayRecursive.IntervalHom.endpointCell line 315
  42. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointCell_of_bounded line 318
  43. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointCell_ofMap line 327
  44. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointCell_face line 331
  45. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointCell_comp line 337
  46. def OAI.Thomason.GrayRecursive.IntervalHom.endpointFunctor line 350
  47. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointCell_map line 356
  48. def OAI.Thomason.GrayRecursive.IntervalHom.endpointTransformation line 363
  49. def OAI.Thomason.GrayRecursive.IntervalHom.tensorEndpoint line 367
  50. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorEndpoint_bounded line 378
  51. lemma OAI.Thomason.GrayRecursive.IntervalHom.constantInterval_restrict line 395
  52. lemma OAI.Thomason.GrayRecursive.IntervalHom.lift_face line 402
  53. lemma OAI.Thomason.GrayRecursive.IntervalHom.constant_bound_mono line 410
  54. lemma OAI.Thomason.GrayRecursive.IntervalHom.constant_bound_independent line 420
  55. def OAI.Thomason.GrayRecursive.IntervalHom.constantCell line 425
  56. lemma OAI.Thomason.GrayRecursive.IntervalHom.constantCell_of_bounded line 428
  57. lemma OAI.Thomason.GrayRecursive.IntervalHom.constantCell_face line 432
  58. lemma OAI.Thomason.GrayRecursive.IntervalHom.constantCell_comp line 439
  59. def OAI.Thomason.GrayRecursive.IntervalHom.constantFunctor line 460
  60. lemma OAI.Thomason.GrayRecursive.IntervalHom.constantCell_map line 466
  61. def OAI.Thomason.GrayRecursive.IntervalHom.constantTransformation line 479
  62. lemma OAI.Thomason.GrayRecursive.IntervalHom.endpointCell_constant line 483
  63. def OAI.Thomason.GrayRecursive.IntervalHom.tensorProjection line 487
  64. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorProjection_generator line 500
  65. lemma OAI.Thomason.GrayRecursive.IntervalHom.tensorEndpoint_projection line 507
  66. def OAI.Thomason.GrayRecursive.IntervalHom.globeDiagram line 525
  67. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeDiagram_top line 529
  68. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeDiagram_face line 533
  69. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeDiagram_map line 538
  70. def OAI.Thomason.GrayRecursive.IntervalHom.globeTensorHom line 560
  71. def OAI.Thomason.GrayRecursive.IntervalHom.globeTensorInv line 563
  72. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeTensorHom_generator line 566
  73. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeTensorHom_inv line 570
  74. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeTensorInv_hom line 582
  75. def OAI.Thomason.GrayRecursive.IntervalHom.globeTensorIso line 589
  76. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeTensorIso_natural line 595
  77. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeTensorIso_endpoint line 614
  78. lemma OAI.Thomason.GrayRecursive.IntervalHom.globeTensorIso_projection line 623
  79. structure OAI.Thomason.GrayRecursive.CellWeight line 651
  80. instance OAI.Thomason.GrayRecursive.CellWeight.(instance at line 659) line 659
  81. def OAI.Thomason.GrayRecursive.CellWeight.hom line 661
  82. def OAI.Thomason.GrayRecursive.CellWeight.row line 669
  83. lemma OAI.Thomason.GrayRecursive.concatInterval_weight line 679
  84. lemma OAI.Thomason.GrayRecursive.horizontalCylinder_weight line 705
  85. lemma OAI.Thomason.GrayRecursive.pasteCylinder_weight line 746