`BookProof.LocalityConstraint.graphSet_null` (μ : Measure α) (ν : Measure ℝ) [SFinite ν] [NullSingletonClass ν] {f : α → ℝ} (hf : Measurable f) : (μ.prod ν) (graphSet f) = 0

Proved

BookProof.LocalityConstraint.graphSet_null

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLocalityConstraintNull.

BookProof.LocalityConstraint.graphSet_null (μ : Measure α) (ν : Measure ℝ) [SFinite ν] [NullSingletonClass ν] {f : α → ℝ} (hf : Measurable f) : (μ.prod ν) (graphSet f) = 0

Formalization note: Lean 4 identifier BookProof.LocalityConstraint.graphSet_null.

Preamble

-- Generated from ChapterLocalityConstraintNull.lean — theorem BookProof.LocalityConstraint.graphSet_null
import Mathlib
import Definitions.Def_ChapterLocalityConstraintNull
open BookProof.LocalityConstraint



open MeasureTheory ProbabilityTheory
open scoped NNReal

variable {α : Type*} [MeasurableSpace α]

Formal statement

theorem BookProof.LocalityConstraint.graphSet_null (μ : Measure α) (ν : Measure ℝ) [SFinite ν] [NullSingletonClass ν]
    {f : α → ℝ} (hf : Measurable f) :
    (μ.prod ν) (graphSet f) = 0 := by sorry

View graph