OAI/Geometry/HyperbolicGroups/WordPictureBase.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.HyperbolicObstruction.PictureSwitch.finRange_boundary line 16
  2. def OAI.HyperbolicObstruction.WordPictures.WordPicture.polygon line 39

    Source 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

  3. lemma OAI.HyperbolicObstruction.WordPictures.WordPicture.of_relator line 73
  4. def OAI.HyperbolicObstruction.WordPictures.WordPicture.freePair line 80

    Source 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