`BookProof.ChapterG2.cond_of_null` (μ : Measure Ω) {C : Set Ω} (hC : μ C = 0) : μ[|C] = 0

Proved

BookProof.ChapterG2.cond_of_null

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterG2.

BookProof.ChapterG2.cond_of_null (μ : Measure Ω) {C : Set Ω} (hC : μ C = 0) : μ[|C] = 0

Formalization note: Lean 4 identifier BookProof.ChapterG2.cond_of_null.

Preamble

-- Generated from ChapterG2.lean — theorem BookProof.ChapterG2.cond_of_null
import Mathlib
import Definitions.Def_ChapterG2
open BookProof.ChapterG2


open MeasureTheory ProbabilityTheory
open scoped ProbabilityTheory

variable {Ω : Type*} [MeasurableSpace Ω]

Formal statement

theorem BookProof.ChapterG2.cond_of_null (μ : Measure Ω) {C : Set Ω} (hC : μ C = 0) : μ[|C] = 0 := by sorry

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