OAI/Geometry/HyperbolicGroups/PicturePartition.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.HyperbolicObstruction.PictureSwitch.CutSide line 20

    Source documentation

    Oriented side copies cut by a partition. Parallel contacts and self-contacts remain literal side copies; no underlying-simple-graph collapse is made.

    abbrev CutSide (P : PictureMap X) (part : X → I) := {x : X // part x ≠ part (P.edge x)}

    Mentions: OAI.HyperbolicObstruction.PictureSwitch.PictureMap

  2. instance OAI.HyperbolicObstruction.PictureSwitch.(instance at line 21) line 21
  3. abbrev OAI.HyperbolicObstruction.PictureSwitch.CutContact line 22
  4. instance OAI.HyperbolicObstruction.PictureSwitch.(instance at line 24) line 24
  5. abbrev OAI.HyperbolicObstruction.PictureSwitch.PartBoundary line 26
  6. instance OAI.HyperbolicObstruction.PictureSwitch.(instance at line 28) line 28
  7. lemma OAI.HyperbolicObstruction.PictureSwitch.sum_part_boundary line 30
  8. lemma OAI.HyperbolicObstruction.PictureSwitch.cut_sides_twice line 41
  9. lemma OAI.HyperbolicObstruction.PictureSwitch.sum_part_sizes line 58