OAI/NumberTheory/Ostmann/Arithmetic/BulkHalfLogBudgetComparison.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

Cost of retaining the original terminal logarithmic factors

  1. theorem OAI.Ostmann.bulkHalfLogWeightedKernelPairBudget_le line 11

    Source documentation

    Two half-bulk factors per leaf in each tree fit the existing derivative-root budget.

    theorem bulkHalfLogWeightedKernelPairBudget_le
        (ψ : 𝓢(ℝ, ℂ)) (V lo hi : ℝ) (n d r e t rlog : ℕ) (B D Dlog : ℝ)
        (hDlog : 0 ≤ Dlog) (ht : t ≤ 4 * 2 ^ n) (hr : rlog ≤ r) :
        bulkLogWeightedKernelPairBudget ψ V lo hi n d r e t rlog B D Dlog ≤
          (2 * (2 + Dlog * (Real.exp 2 - 1)) ^ t) *
            bulkKernelPairComparisonBudget ψ V lo hi n d r e B D := by
    …

    Mentions: OAI.Ostmann.bulkLogWeightedKernelPairBudget, OAI.Ostmann.bulkKernelPairComparisonBudget