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d4317d7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | import OAI.MeasureTheory.Falconer.Recursion.BranchExponentAlgebra
import OAI.MeasureTheory.Falconer.Estimates.ActualRegularizedClasses
namespace OAI
namespace PlanarFalconer
theorem RegularizedProfileData.discrete_lipschitz {Q : DyadicSquare}
{ρ : MeasureTheory.Measure Plane} {N B : ℕ} {δ lam : ℝ} {m : ℝ → ℝ}
(h : RegularizedProfileData Q ρ N B δ lam m) :
DiscreteProfileLipschitz (fun n => m n-(n:ℝ)/N) N := by
intro i hi j hj
exact h.adjusted j i (Nat.cast_nonneg _) (Nat.cast_le.mpr hj)
(Nat.cast_nonneg _) (Nat.cast_le.mpr hi)
end PlanarFalconer
end OAI
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