`BookProof.ChapterMixedPrior.noAtoms_normalizedContinuousPart` (mu : Measure X) [SFinite mu] : NullSingletonClass (normalizedContinuousPart mu)

Proved

BookProof.ChapterMixedPrior.noAtoms_normalizedContinuousPart

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMixedPrior.

BookProof.ChapterMixedPrior.noAtoms_normalizedContinuousPart (mu : Measure X) [SFinite mu] : NullSingletonClass (normalizedContinuousPart mu)

Formalization note: Lean 4 identifier BookProof.ChapterMixedPrior.noAtoms_normalizedContinuousPart.

Preamble

-- Generated from ChapterMixedPrior.lean — theorem BookProof.ChapterMixedPrior.noAtoms_normalizedContinuousPart
import Mathlib
import Definitions.Def_ChapterMixedPrior
import Definitions.Def_ChapterAtomicDecomposition
open BookProof.ChapterAtomicDecomposition
open BookProof.ChapterMixedPrior


open MeasureTheory ProbabilityTheory


open BookProof.ChapterAtomicDecomposition

variable {X : Type*} [MeasurableSpace X] [MeasurableSingletonClass X]

Formal statement

theorem BookProof.ChapterMixedPrior.noAtoms_normalizedContinuousPart (mu : Measure X) [SFinite mu] :
    NullSingletonClass (normalizedContinuousPart mu) := by sorry

View graph