OAI/Combinatorics/EditApproximation/Queries/QueryRoundedCounts.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.EditApproximation.groupRoundSpacing_endpoint_counts line 9

    Source documentation

    Every envelope queried by a shared group bounds both endpoint loops, including the fractional-envelope, unit-spacing case.

    theorem groupRoundSpacing_endpoint_counts (M b exponent : ℕ) (h : ℚ)
        (hM : 0 < M) (_hh : 0 ≤ h) (hfloor : (b : ℚ) / M ≤ h) :
        2 * (12 * b) / groupRoundSpacing exponent h + 2 ≤ 24 * 2 ^ exponent * M + 2 ∧
        2 * ⌈2 * h⌉₊ / groupRoundSpacing exponent h + 2 ≤ 4 * 2 ^ exponent + 4 := by
    …

    Mentions: OAI.EditApproximation.groupRoundSpacing