Theorems · Theorem · measure theory

MeasureTheory.LocallyIntegrableOn.smul

∀ {X : Type u_1} {E : Type u_6} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : NormedAddCommGroup E]
  {μ : MeasureTheory.Measure X} {s : Set X} {𝕜 : Type u_9} [inst_3 : NormedField 𝕜] [inst_4 : NormedSpace 𝕜 E]
  {f : X → E}, MeasureTheory.LocallyIntegrableOn f s μ → ∀ (c : 𝕜), MeasureTheory.LocallyIntegrableOn (c • f) s μ

Defined in

Mathlib.MeasureTheory.Function.LocallyIntegrable

Cited by

0 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceNormedAddCommGroupNormedFieldNormedSpace