`BookProof.ChapterAbelianMixture.mixtureMeasure_diffuse_mass` : mixtureMeasure (Set.Icc (0 : ℝ) 1) = 1

Proved

BookProof.ChapterAbelianMixture.mixtureMeasure_diffuse_mass

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAbelianMixture.

BookProof.ChapterAbelianMixture.mixtureMeasure_diffuse_mass : mixtureMeasure (Set.Icc (0 : ℝ) 1) = 1

Formalization note: Lean 4 identifier BookProof.ChapterAbelianMixture.mixtureMeasure_diffuse_mass.

Preamble

-- Generated from ChapterAbelianMixture.lean — theorem BookProof.ChapterAbelianMixture.mixtureMeasure_diffuse_mass
import Mathlib
import Definitions.Def_ChapterAbelianMixture
open BookProof.ChapterAbelianMixture


noncomputable section

open MeasureTheory ENNReal

Formal statement

theorem BookProof.ChapterAbelianMixture.mixtureMeasure_diffuse_mass : mixtureMeasure (Set.Icc (0 : ℝ) 1) = 1 := by sorry

View graph