Theorems · Theorem · measure theory

MeasureTheory.locallyIntegrable_finset_sum

Deprecated since 2026-04-08Use MeasureTheory.locallyIntegrable_finsetSum instead.

∀ {X : Type u_1} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] {μ : MeasureTheory.Measure X}
  {ε''' : Type u_9} [inst_2 : TopologicalSpace ε'''] [inst_3 : ESeminormedAddCommMonoid ε'''] [ContinuousAdd ε''']
  {ι : Type u_10} (s : Finset ι) {f : ι → X → ε'''},
  (∀ i ∈ s, MeasureTheory.LocallyIntegrable (f i) μ) → MeasureTheory.LocallyIntegrable (fun a => ∑ i ∈ s, f i a) μ

Alias of MeasureTheory.locallyIntegrable_finsetSum.

Defined in

Mathlib.MeasureTheory.Function.LocallyIntegrable

Cited by

0 results in Mathlib

Foundations

Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceTopologicalSpaceESeminormedAddCommMonoidContinuousAdd