`BookProof.ChapterMAPNull.ae_ne_map_point` (μ : Measure α) [NullSingletonClass μ] (mapPoint : α) : ∀ᵐ x ∂μ, x ≠ mapPoint

Proved

BookProof.ChapterMAPNull.ae_ne_map_point

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMAPNull.

BookProof.ChapterMAPNull.ae_ne_map_point (μ : Measure α) [NullSingletonClass μ] (mapPoint : α) : ∀ᵐ x ∂μ, x ≠ mapPoint

Formalization note: Lean 4 identifier BookProof.ChapterMAPNull.ae_ne_map_point.

Preamble

-- Generated from ChapterMAPNull.lean — theorem BookProof.ChapterMAPNull.ae_ne_map_point
import Mathlib
import Definitions.Def_ChapterMAPNull
open BookProof.ChapterMAPNull


open MeasureTheory


variable {α : Type*} [MeasurableSpace α]

Formal statement

theorem BookProof.ChapterMAPNull.ae_ne_map_point (μ : Measure α) [NullSingletonClass μ] (mapPoint : α) :
    ∀ᵐ x ∂μ, x ≠ mapPoint := by sorry

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