`BookProof.EnergyBandDecomposition.measurableSet_band` [MeasurableSpace X] (hE : Measurable E) (ε : ℝ) (k : ℤ) : MeasurableSet (band E ε k)

Proved

BookProof.EnergyBandDecomposition.measurableSet_band

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEnergyBandDecomposition.

BookProof.EnergyBandDecomposition.measurableSet_band [MeasurableSpace X] (hE : Measurable E) (ε : ℝ) (k : ℤ) : MeasurableSet (band E ε k)

Formalization note: Lean 4 identifier BookProof.EnergyBandDecomposition.measurableSet_band.

Preamble

-- Generated from ChapterEnergyBandDecomposition.lean — theorem BookProof.EnergyBandDecomposition.measurableSet_band
import Mathlib
import Definitions.Def_ChapterEnergyBandDecomposition
open BookProof.EnergyBandDecomposition



open MeasureTheory

variable {X : Type*} {E : X → ℝ} {ε : ℝ} {k : ℤ} {x : X}

Formal statement

theorem BookProof.EnergyBandDecomposition.measurableSet_band [MeasurableSpace X] (hE : Measurable E) (ε : ℝ) (k : ℤ) :
    MeasurableSet (band E ε k) := by sorry

View graph