Theorems · Theorem · measure theory

MeasureTheory.NullMeasurable.aemeasurable

∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {f : α → β} [hc : MeasurableSpace.CountablyGenerated β], MeasureTheory.NullMeasurable f μ → AEMeasurable f μ

If the σ-algebra of the codomain of a null measurable function is countably generated, then the function is a.e.-measurable.

Defined in

Mathlib.MeasureTheory.Measure.AEMeasurable

Cited by

1 results in Mathlib

Foundations

Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace.CountablyGenerated