Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.union

∀ {α : Type u_1} {ε : Type u_3} {mα : MeasurableSpace α} {f : α → ε} {s t : Set α} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε] [TopologicalSpace.PseudoMetrizableSpace ε],
  MeasureTheory.IntegrableOn f s μ → MeasureTheory.IntegrableOn f t μ → MeasureTheory.IntegrableOn f (s ∪ t) 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

TopologicalSpaceContinuousENormTopologicalSpace.PseudoMetrizableSpace