Theorems · Theorem · measure theory

StronglyMeasurableAtFilter.eventually

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : TopologicalSpace β] {l : Filter α} {f : α → β}
  {μ : MeasureTheory.Measure α},
  StronglyMeasurableAtFilter f l μ → ∀ᶠ (s : Set α) in l.smallSets, MeasureTheory.AEStronglyMeasurable f (μ.restrict s)

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

3 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace