Theorems · Theorem · measure theory

AEMeasurable.iUnion

∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β}
  {μ : MeasureTheory.Measure α} [Countable ι] {s : ι → Set α},
  (∀ (i : ι), AEMeasurable f (μ.restrict (s i))) → AEMeasurable f (μ.restrict (⋃ i, s i))

Defined in

Mathlib.MeasureTheory.Measure.AEMeasurable

Cited by

1 results in Mathlib

Foundations

Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceCountable