Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.add

∀ {α : Type u_1} {ε' : Type u_4} {mα : MeasurableSpace α} {s : Set α} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε'] [inst_1 : ESeminormedAddMonoid ε'] [ContinuousAdd ε'] {f g : α → ε'},
  MeasureTheory.IntegrableOn f s μ → MeasureTheory.IntegrableOn g s μ → MeasureTheory.IntegrableOn (f + g) s μ

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

8 results in Mathlib

Foundations

Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoidContinuousAdd