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Outt zero

Proved
BlockCycleRotation.Outt_zero

by dbenbenn · Sep 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

block-cycle-rotationintegrationreal-analysis

A supporting lemma of the formalization, declared as Outt_zero.

This is an auxiliary lemma of the formalization rather than a result stated in the paper.

Preamble
import Definitions.Def_BlockCycleRotation_Theorem10
import Mathlib

open BlockCycleRotation
open Finset Real Filter Topology MeasureTheory BoxIntegral
open scoped ENNReal
Formal statement
theorem BlockCycleRotation.Outt_zero : Outt 0 = 0 := by sorry
Source
Valentin Blomer and Kai-Uwe Bux, "The cost of cyclic permutations and remainder sums in the Euclidean algorithm", AofA 2026, LIPIcs vol. 381, pp. 14:1-14:17, doi:10.4230/LIPIcs.AofA.2026.14. Numbering follows the full version, arXiv:2601.00979v1. Lean source: https://github.com/dbenbenn/block-cycle-rotation/blob/f69003fd8b00c9b5d6d1a4f6807b4943bce0a92c/BlockCycleRotation/Theorem10.lean#L48-L48

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