OAI/Geometry/Cannon/PlaneTopology/Crossing.lean

GitHub source file

35 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.CannonEmbeddedArc.Arc.DevelopedFaces.vertex_agree line 16
  2. theorem OAI.CannonEmbeddedArc.Arc.DevelopedFaces.global_centers line 53
  3. theorem OAI.CannonEmbeddedArc.Arc.triangular_face_cycle line 91
  4. theorem OAI.CannonEmbeddedArc.Arc.DevelopedFaces.global_metric_centers line 171
  5. def OAI.CannonTriangleWinding.crossing line 229
  6. lemma OAI.CannonTriangleWinding.crossing_neg line 232
  7. lemma OAI.CannonTriangleWinding.positive_triangle_degree line 243
  8. def OAI.CannonTriangleWinding.area line 281
  9. lemma OAI.CannonTriangleWinding.area_swap line 284
  10. lemma OAI.CannonTriangleWinding.area_cyclic line 287
  11. lemma OAI.CannonTriangleWinding.area_sum line 290
  12. lemma OAI.CannonTriangleWinding.area_relation line 293
  13. def OAI.CannonTriangleWinding.edgeIndex line 298
  14. lemma OAI.CannonTriangleWinding.edgeIndex_swap line 299
  15. def OAI.CannonTriangleWinding.Inside line 303
  16. def OAI.CannonTriangleWinding.Generic line 305
  17. lemma OAI.CannonTriangleWinding.triangle_index line 308
  18. lemma OAI.CannonTriangleWinding.inside_open line 323
  19. theorem OAI.CannonTriangleWinding.generic_unique line 328
  20. structure OAI.CannonEmbeddedArc.Arc.FacialCycle line 362
  21. lemma OAI.CannonEmbeddedArc.Arc.facialCycle_exists line 381
  22. def OAI.CannonEmbeddedArc.Arc.FacialCycle.reverse line 391
  23. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.mem_a line 412
  24. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.mem_b line 414
  25. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.mem_c line 416
  26. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.edge_ne line 419
  27. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.edges line 435
  28. lemma OAI.CannonEmbeddedArc.Arc.area_eq_orientedArea line 456
  29. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.orient line 462
  30. def OAI.CannonEmbeddedArc.Arc.FacialCycle.flux line 486
  31. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.sum_flux line 490
  32. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.flux_nonmem line 506
  33. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.edge_data line 514
  34. lemma OAI.CannonEmbeddedArc.Arc.folded_side_reversed line 534
  35. lemma OAI.CannonEmbeddedArc.Arc.FacialCycle.flux_cancel line 557