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Papers.AnsariRockelSteinmassl2026RhoGamma.GluedEstimates

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A uniform cubic remainder for the glued boundary coordinates #

theorem Papers.AnsariRockelSteinmassl2026RhoGamma.glued_cubic_estimate {s a z m q : ℝ} (hs : 0 ≤ s) (hs1 : s ≤ 1 / 4) (ha : 0 ≤ a) (has : a ≤ s) (hz : z = 1 - a) (hm0 : 0 ≤ m) (hms : m ≤ s) (hq0 : 0 ≤ q) (hm : |m - s / 2| ≤ s ^ 2 / 2) (hq : |q - s ^ 2 / 4| ≤ 2 * s ^ 3) :
have H := 2 * a ^ 2 + z ^ 2 * m; have J := 2 * a ^ 3 + 3 / 2 * z ^ 3 * q; s / 16 ≤ H ∧ |J - 3 / 2 * H ^ 2| ≤ 98304 * H ^ 3

Quantitative form of Remark 2.2, before substituting a concrete boundary arc.