OAI/Geometry/Cannon/PlaneTopology/Reverse.lean

GitHub source file

33 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.CannonEmbeddedArc.Arc.reverse line 52
  2. lemma OAI.CannonEmbeddedArc.Arc.reverse_apply line 55
  3. lemma OAI.CannonEmbeddedArc.Arc.reverse_zero line 56
  4. lemma OAI.CannonEmbeddedArc.Arc.reverse_one line 57
  5. lemma OAI.CannonEmbeddedArc.Arc.reverse_range line 58
  6. lemma OAI.CannonEmbeddedArc.Arc.local_arc_flat line 61
  7. lemma OAI.CannonEmbeddedArc.Arc.pair_start_local_arc line 74
  8. lemma OAI.CannonEmbeddedArc.Arc.pair_start_flat line 150
  9. theorem OAI.CannonEmbeddedArc.Arc.pair_flat_at_left line 160
  10. theorem OAI.CannonEmbeddedArc.Arc.pair_incident_labels line 187
  11. theorem OAI.CannonEmbeddedArc.Arc.pair_labels_surjective line 231
  12. lemma OAI.CannonEmbeddedArc.Arc.centered_chord_endpoints line 258
  13. lemma OAI.CannonEmbeddedArc.Arc.centered_chord_ball line 272
  14. theorem OAI.CannonEmbeddedArc.Arc.pair_isolated_chord line 297
  15. lemma OAI.CannonWinding.turn_path_trans line 396
  16. lemma OAI.CannonWinding.winding_path_trans line 417
  17. lemma OAI.CannonWinding.winding_path_homotopy line 441
  18. def OAI.CannonWinding.blendPaths line 449
  19. def OAI.CannonWinding.upperSemi line 464
  20. def OAI.CannonWinding.lowerSemi line 470
  21. lemma OAI.CannonWinding.upperSemi_norm line 479
  22. lemma OAI.CannonWinding.lowerSemi_norm line 480
  23. lemma OAI.CannonWinding.upperSemi_im line 481
  24. lemma OAI.CannonWinding.lowerSemi_im line 486
  25. lemma OAI.CannonWinding.winding_upperSemi line 493
  26. lemma OAI.CannonWinding.winding_lowerSemi line 513
  27. lemma OAI.CannonWinding.path_outside_avoids line 538
  28. lemma OAI.CannonWinding.winding_outside_move line 543
  29. lemma OAI.CannonWinding.segment_diameter_im line 559
  30. theorem OAI.CannonWinding.winding_chord_replace line 562
  31. theorem OAI.CannonWinding.chord_winding_jump line 610
  32. lemma OAI.CannonWinding.winding_on_component line 634
  33. theorem OAI.CannonWinding.chord_separates line 650