Theorems · Theorem · measure theory

List.aemeasurable_fun_sum

∀ {M : Type u_2} {α : Type u_3} [inst : AddMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M]
  {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (l : List (α → M)),
  (∀ f ∈ l, AEMeasurable f μ) → AEMeasurable (fun x => (List.map (fun f => f x) l).sum) μ

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

0 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidMeasurableSpaceMeasurableAdd₂