OAI/Geometry/HyperbolicGroups/PicturePartition.lean
9 declarations, 0 contain sorry, 0 declared as axioms
- abbrev
OAI.HyperbolicObstruction.PictureSwitch.CutSideline 20Source 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
- instance
OAI.HyperbolicObstruction.PictureSwitch.(instance at line 21)line 21 - abbrev
OAI.HyperbolicObstruction.PictureSwitch.CutContactline 22 - instance
OAI.HyperbolicObstruction.PictureSwitch.(instance at line 24)line 24 - abbrev
OAI.HyperbolicObstruction.PictureSwitch.PartBoundaryline 26 - instance
OAI.HyperbolicObstruction.PictureSwitch.(instance at line 28)line 28 - lemma
OAI.HyperbolicObstruction.PictureSwitch.sum_part_boundaryline 30 - lemma
OAI.HyperbolicObstruction.PictureSwitch.cut_sides_twiceline 41 - lemma
OAI.HyperbolicObstruction.PictureSwitch.sum_part_sizesline 58