OAI/Geometry/HyperbolicGroups/OriginalLinearFilling.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.HyperbolicObstruction.ConeSkeleton.original_letter_linear_filling line 16

    Source documentation

    Deterministic linear filling theorem, with a uniform cutoff for all random tables and all original-letter null words, including the empty word.

    theorem original_letter_linear_filling {α β δ : ℝ}
        (ha : 0 < α) (hb : 7*α < β) (hd : 0 < δ) :
        ∃ M : ℕ, 0 < M ∧ ∀ (n : ℕ)
          (w : TableModel.Entry (A := Alphabet n) rowSupport → Bool)
    …

    Mentions: OAI.HyperbolicObstruction.TableModel.Entry

  2. theorem OAI.HyperbolicObstruction.ConeSkeleton.original_letter_linear_filling_list line 54

    Source documentation

    The same theorem in list-word form, with an explicit positive linear constant depending only on the fixed parameters.

    theorem original_letter_linear_filling_list {α β δ : ℝ}
        (ha : 0 < α) (hb : 7*α < β) (hd : 0 < δ) :
        ∃ (M : ℕ) (C : ℝ), 0 < M ∧ 0 < C ∧ ∀ (n : ℕ)
          (w : TableModel.Entry (A := Alphabet n) rowSupport → Bool)
    …

    Mentions: OAI.HyperbolicObstruction.TableModel.Entry