OAI/Geometry/HyperbolicGroups/BoundaryEraseList.lean
6 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.HyperbolicObstruction.PictureSwitch.bypassPair_consecutiveline 17 - lemma
OAI.HyperbolicObstruction.PictureSwitch.IsBoundary.liftline 31 - lemma
OAI.HyperbolicObstruction.PictureSwitch.IsBoundary.middle_nextline 47 - lemma
OAI.HyperbolicObstruction.PictureSwitch.IsBoundary.middle_offpairline 54 - lemma
OAI.HyperbolicObstruction.PictureSwitch.IsBoundary.erase_middleline 65 - theorem
OAI.HyperbolicObstruction.PictureSwitch.PictureMap.boundaryFold_boundaryline 96Source documentation
The free fold deletes exactly the two consecutive entries of the literal outside word; no cyclic rotation or word-equality surrogate is used.
theorem boundaryFold_boundary (h : IsBoundary M.face (l++a::b::r)) (hab : a ≠ b) : IsBoundary (M.boundaryFold hab h.middle_next).face ((l++r).attachWith (OffPair a b) (IsBoundary.middle_offpair h.nodup)) := by …Mentions: OAI.HyperbolicObstruction.PictureSwitch.IsBoundary, OAI.HyperbolicObstruction.PictureSwitch.OffPair, OAI.HyperbolicObstruction.PictureSwitch.IsBoundary.middle_offpair