Theorems · Theorem · measure theory

MeasureTheory.TendstoInMeasure.aestronglyMeasurable

∀ {α : Type u_1} {ι : Type u_2} {E : Type u_4} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : PseudoEMetricSpace E] {u : Filter ι} [u.NeBot] [u.IsCountablyGenerated] {f : ι → α → E} {g : α → E},
  (∀ (n : ι), MeasureTheory.AEStronglyMeasurable (f n) μ) →
    MeasureTheory.TendstoInMeasure μ f u g → MeasureTheory.AEStronglyMeasurable g μ

Defined in

Mathlib.MeasureTheory.Function.ConvergenceInMeasure

Cited by

1 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpaceFilter.NeBotFilter.IsCountablyGenerated