Theorems · Theorem · measure theory

MeasureTheory.lintegral_indicator_fun_one

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
  MeasurableSet s → ∫⁻ (a : α), s.indicator (fun x => 1) a ∂μ = μ s

Eta-expanded form of MeasureTheory.lintegral_indicator_one

Defined in

Mathlib.MeasureTheory.Integral.Lebesgue.Basic

Cited by

0 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound