Theorems · Definition · measure theory

StronglyMeasurableAtFilter

{α : Type u_1} →
  {β : Type u_2} →
    {mα : MeasurableSpace α} →
      [TopologicalSpace β] →
        (α → β) → Filter α → autoParam (MeasureTheory.Measure α) StronglyMeasurableAtFilter._auto_1 → Prop

A function f is strongly measurable at a filter l w.r.t. a measure μ if it is ae strongly measurable w.r.t. μ.restrict s for some s ∈ l.

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

64 results in Mathlib

Foundations

Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace