OAI/Geometry/HyperbolicGroups/OutsideComponentFilling.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.HyperbolicObstruction.WordPictures.WordPicture.isolated_outside_filling line 19

    Source documentation

    Components with no relator face are trees in genus zero even when the whole picture has unrelated closed components.

    theorem isolated_outside_filling
        (hclosed : ∀ x ∈ P.outside, P.pairing.edge x ∈ P.outside) :
        Homotopy R w [] 0 := by
    …

    Mentions: OAI.HyperbolicObstruction.WordPictures.Homotopy