`BookProof.ChapterMeasureAtomicDiffuse.countable_atomSet` [IsFiniteMeasure mu] : (atomSet mu).Countable

Proved

BookProof.ChapterMeasureAtomicDiffuse.countable_atomSet

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMeasureAtomicDiffuse.

BookProof.ChapterMeasureAtomicDiffuse.countable_atomSet [IsFiniteMeasure mu] : (atomSet mu).Countable

Formalization note: Lean 4 identifier BookProof.ChapterMeasureAtomicDiffuse.countable_atomSet.

Preamble

-- Generated from ChapterMeasureAtomicDiffuse.lean — theorem BookProof.ChapterMeasureAtomicDiffuse.countable_atomSet
import Mathlib
import Definitions.Def_ChapterMeasureAtomicDiffuse
open BookProof.ChapterMeasureAtomicDiffuse


noncomputable section

open MeasureTheory Complex



variable {α : Type*} [MeasurableSpace α] [MeasurableSingletonClass α] (mu : Measure α)

Formal statement

theorem BookProof.ChapterMeasureAtomicDiffuse.countable_atomSet [IsFiniteMeasure mu] : (atomSet mu).Countable := by sorry

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