OAI/Geometry/HyperbolicGroups/WordPictureBase.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.HyperbolicObstruction.PictureSwitch.finRange_boundaryline 16 - def
OAI.HyperbolicObstruction.WordPictures.WordPicture.polygonline 39Source documentation
The two sides of a genuine relator disk and its distinguished exterior. Every side is separately indexed, even when its letter is repeated.
def polygon (hw : w ∈ R) (hne : w ≠ []) : WordPicture R w where …
Mentions: OAI.HyperbolicObstruction.WordPictures.WordPicture
- lemma
OAI.HyperbolicObstruction.WordPictures.WordPicture.of_relatorline 73 - def
OAI.HyperbolicObstruction.WordPictures.WordPicture.freePairline 80Source documentation
A freely canceling pair is the boundary of a single thickened edge, with no interior cell.
def freePair (R : Set (Word A)) (a : A × Bool) : WordPicture R [a,invLetter a] where …
Mentions: OAI.HyperbolicObstruction.WordPictures.Word, OAI.HyperbolicObstruction.WordPictures.WordPicture, OAI.HyperbolicObstruction.WordPictures.invLetter