OAI/Geometry/HyperbolicGroups/SixRows.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.HyperbolicObstruction.SixTable.Rows line 17
  2. instance OAI.HyperbolicObstruction.SixTable.(instance at line 20) line 20
  3. def OAI.HyperbolicObstruction.SixTable.row line 23
  4. lemma OAI.HyperbolicObstruction.SixTable.card_row_fiber line 25
  5. lemma OAI.HyperbolicObstruction.SixTable.row_card_sum line 43
  6. lemma OAI.HyperbolicObstruction.SixTable.count_bounds line 48
  7. lemma OAI.HyperbolicObstruction.SixTable.rows_nonempty line 59
  8. theorem OAI.HyperbolicObstruction.SixTable.marginal_bound line 74

    Source documentation

    The literal uniform law on the six-letter relators with first letter u has all five remaining marginal densities at most twice uniform.

    theorem marginal_bound {δ τ : ℝ} {w : (Fin 6 → A) → Bool}
        (hτ : τ ≤ 1/3) (h : ¬BadPairs δ τ w) (u : A) :
        letI := rows_nonempty (by linarith : τ < 1) h u
    …

    Mentions: OAI.HyperbolicObstruction.SixTable.BadPairs, OAI.HyperbolicObstruction.SixTable.rows_nonempty