OAI/Geometry/HyperbolicGroups/IndexedBoundaryPullback.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.HyperbolicObstruction.PictureSwitch.IndexedFaceMap.pullback_boundary line 16

    Source 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