Theorems · Theorem · measure theory

Finset.stronglyMeasurable_sum

∀ {α : Type u_1} {M : Type u_5} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M] [ContinuousAdd M]
  {m : MeasurableSpace α} {ι : Type u_6} {f : ι → α → M} (s : Finset ι),
  (∀ i ∈ s, MeasureTheory.StronglyMeasurable (f i)) → MeasureTheory.StronglyMeasurable (∑ i ∈ s, f i)

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic

Cited by

6 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceContinuousAdd