Theorems · Theorem · measure theory

aemeasurable_indicator_iff

∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β}
  {μ : MeasureTheory.Measure α} [inst_1 : Zero β] {s : Set α},
  MeasurableSet s → (AEMeasurable (s.indicator f) μ ↔ AEMeasurable f (μ.restrict s))

Defined in

Mathlib.MeasureTheory.Measure.AEMeasurable

Cited by

2 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceZero