OAI/NumberTheory/EgyptianFractions/MainLowerVerified.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Problem337.main_double_log_lower_bound line 12

    Source documentation

    The elementary lower half of the main order theorem, with an explicit absolute constant, independent of the short-expansion upper construction.

    theorem main_double_log_lower_bound (b : ℕ) (hb : 2 ≤ b) :
        (1 / 2 : ℝ) * Real.log (Real.log (b : ℝ)) ≤ (maxEgyptianLength b : ℝ) := by
    …

    Mentions: OAI.Problem337.maxEgyptianLength