OAI/Combinatorics/CompleteCrossing/Assembly.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

Continuous assembled edges, their incidences, crossings, and absence of triple points.

  1. def OAI.Paper170Geometry.PolygonalExterior.startSpoke line 17
  2. def OAI.Paper170Geometry.PolygonalExterior.endSpoke line 20
  3. def OAI.Paper170Geometry.PolygonalExterior.assembledEdge line 23
  4. theorem OAI.Paper170Geometry.PolygonalExterior.startSpoke_injective line 27
  5. theorem OAI.Paper170Geometry.PolygonalExterior.endSpoke_range line 31
  6. theorem OAI.Paper170Geometry.PolygonalExterior.endSpoke_injective line 35
  7. theorem OAI.Paper170Geometry.PolygonalExterior.assembledEdge_injective line 45
  8. theorem OAI.Paper170Geometry.PolygonalExterior.assembledEdge_range_iff line 62
  9. theorem OAI.Paper170Geometry.DrawingPassages.vertex_spoke_vertex_eq line 86
  10. theorem OAI.Paper170Geometry.PolygonalExterior.middlePath_avoids_vertices line 98
  11. theorem OAI.Paper170Geometry.PolygonalExterior.assembledEdge_vertex_eq line 106
  12. theorem OAI.Paper170Geometry.PolygonalExterior.assembledEdge_interior_avoids_vertices line 117
  13. def OAI.Paper170Geometry.PolygonalExterior.assembledDrawing line 128
  14. theorem OAI.Paper170Geometry.PolygonalExterior.exists_assembledDrawing line 137
  15. theorem OAI.Paper170Geometry.PolygonalExterior.middle_exterior_edge_eq line 163
  16. theorem OAI.Paper170Geometry.PolygonalExterior.middle_spoke_edge_eq line 178
  17. theorem OAI.Paper170Geometry.PolygonalExterior.middle_middle_meeting_chords line 192
  18. theorem OAI.Paper170Geometry.DrawingPassages.vertex_spokes_meeting line 224
  19. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_spoke_meeting line 242
  20. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_meeting_chords line 258
  21. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_crossings_subset line 280
  22. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_crossings_finite line 292
  23. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_no_triples line 316
  24. theorem OAI.Paper170Geometry.PolygonalExterior.portPoint_mem_exterior line 356
  25. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_port_mem_range line 363
  26. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_exterior_edge_eq line 368
  27. theorem OAI.Paper170Geometry.PolygonalExterior.assembled_port_unique_edge line 389