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structure definition def or abbrev

RingRegularErrorBound

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formal statement (Lean)

 138structure RingRegularErrorBound (fam : DefectSampledFamily) where
 139  error : ∀ N : ℕ, Fin N → ℝ
 140  ring_estimate : ∀ N : ℕ, ∀ n : Fin N,
 141    ringCost ((fam.mesh N).rings n) ≤
 142      topologicalFloor (n.val + 1) ((fam.mesh N).charge) + error N n
 143  total_error_bounded : ∃ K : ℝ, ∀ N : ℕ, ∑ n : Fin N, error N n ≤ K
 144
 145/-- The explicit linear-plus-quadratic perturbation error on one realized ring.
 146
 147This is the error term delivered by
 148`ringCost_le_topologicalFloor_add_linear_quadratic_error` once the ring
 149increments are written as the pure winding increment plus a regular
 150perturbation. -/

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