OAI/Geometry/HyperbolicGroups/IndexedBoundaryPullback.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.HyperbolicObstruction.PictureSwitch.IndexedFaceMap.pullback_boundaryline 16Source documentation
An indexed face map pulls back a complete target polygon to exactly one source face, without any injectivity assumption on target letter labels.
theorem IndexedFaceMap.pullback_boundary {f : Perm D} {t : Perm S} {j : D → S} (h : IndexedFaceMap f t j) (a : D) {ys : List S} (ht : IsBoundary t ys) (ha : j a ∈ ys) : ∃ xs : List D, IsBoundary f xs ∧ a ∈ xs ∧ xs.map j = ys := by …Mentions: OAI.HyperbolicObstruction.PictureSwitch.IndexedFaceMap, OAI.HyperbolicObstruction.PictureSwitch.IsBoundary