| 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 | |