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Theorems · Theorem · measure theory

AEMeasurable.indicator

∀ {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],
  AEMeasurable f μ → ∀ {s : Set α}, MeasurableSet s → AEMeasurable (s.indicator f) μ
Defined in
Mathlib.MeasureTheory.Measure.AEMeasurable
Cited by
2 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceZero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.pdf.IsUniform.pdf_eq · cited by 3IsUniform.pdf_eqMeasureTheory.pdf.IsUniform.hasPDF · cited by 1IsUniform.hasPDFSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurableSet · cited by 3075MeasurableSetAEMeasurable · cited by 840AEMeasurableSet.indicator · cited by 723Set.indicatorAEMeasurable.restrict · cited by 23AEMeasurable.restrictaemeasurable_indicator_iff · cited by 2aemeasurable_indicator_iffAEMeasurable.indicatorCITED BYCITES

Cites8

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Cited by2

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