Theorems · Theorem · measure theory

List.aestronglyMeasurable_fun_sum

∀ {α : Type u_1} {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {M : Type u_5} [inst : AddMonoid M]
  [inst_1 : TopologicalSpace M] [ContinuousAdd M] (l : List (α → M)),
  (∀ f ∈ l, MeasureTheory.AEStronglyMeasurable f μ) →
    MeasureTheory.AEStronglyMeasurable (fun x => (List.map (fun f => f x) l).sum) μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

0 results in Mathlib

Foundations

Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidTopologicalSpaceContinuousAdd