Theorems · Theorem · measure theory

VitaliFamily.eventually_filterAt_integrableOn

∀ {α : Type u_1} [inst : PseudoMetricSpace α] {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  (v : VitaliFamily μ) {E : Type u_2} [inst_1 : NormedAddCommGroup E] (x : α) {f : α → E},
  MeasureTheory.LocallyIntegrable f μ → ∀ᶠ (a : Set α) in v.filterAt x, MeasureTheory.IntegrableOn f a μ

Defined in

Mathlib.MeasureTheory.Covering.Differentiation

Cited by

2 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpaceNormedAddCommGroup