OAI/Geometry/HyperbolicGroups/TriangleHomotopyExtension.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Exact homotopy extension on a genuine closed triangle, retaining all three side tracks and collapsing the fourth square side throughout.

  1. def OAI.HyperbolicObstruction.TriangleHomotopyExtension.pairCube line 16
  2. def OAI.HyperbolicObstruction.TriangleHomotopyExtension.cubePair line 17
  3. def OAI.HyperbolicObstruction.TriangleHomotopyExtension.square line 24
  4. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.square_edge line 28
  5. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.square_initial line 33
  6. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.square_top line 38
  7. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.square_top_const line 42
  8. def OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend line 45
  9. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend_square line 47
  10. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend_initial line 50
  11. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend_bottom line 53
  12. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend_left line 56
  13. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend_right line 59
  14. lemma OAI.HyperbolicObstruction.TriangleHomotopyExtension.extend_top line 62