OAI/Geometry/HyperbolicGroups/ConeCover.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.HyperbolicObstruction.ConeSkeleton.frozenOffset line 23

    Source documentation

    Cell lift coordinate at a frozen side, measured from its indexed first vertex. Reversing orientation changes the initial point but not the cell lift.

    def frozenOffset (s : (frozenBoundary n w d).Side) : G :=
    …

    Mentions: OAI.HyperbolicObstruction.ConeSkeleton.frozenBoundary

  2. lemma OAI.HyperbolicObstruction.ConeSkeleton.frozenOffset_opposite line 28
  3. def OAI.HyperbolicObstruction.ConeSkeleton.coverOffset line 39
  4. lemma OAI.HyperbolicObstruction.ConeSkeleton.coverOffset_opposite line 44
  5. def OAI.HyperbolicObstruction.ConeSkeleton.actualCellCover line 55

    Source documentation

    The actual regular covering target, constructed from ordinary group edge values satisfying the ORIGINAL cell equations. No lifted-chain conclusion is assumed. In particular it applies to quotient group values, not only to the bouquet auxiliary group.

    def actualCellCover : WalkCellCover (indexingTarget n w d) G where
    …

    Mentions: OAI.HyperbolicObstruction.ConeSkeleton.indexingTarget

  6. def OAI.HyperbolicObstruction.ConeSkeleton.polygonGroupCover line 71

    Source documentation

    Canonical cover data for this presentation, with actual prefix-product coordinates and the proved cone potentials.

    def polygonGroupCover : WalkCellCover (indexingTarget n w d) (PolygonGroup n w d) :=
    …

    Mentions: OAI.HyperbolicObstruction.ConeSkeleton.indexingTarget, OAI.HyperbolicObstruction.ConeSkeleton.PolygonGroup