Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.IntegrableOn.union

∀ {X : Type u_2} {E : Type u_3} {F : Type u_4} {mX : MeasurableSpace X} [inst : NormedAddCommGroup E]
  [inst_1 : NormedAddCommGroup F] {μ : MeasureTheory.VectorMeasure X F} {f : X → E} {s t : Set X},
  MeasurableSet s → MeasurableSet t → μ.IntegrableOn f s → μ.IntegrableOn f t → μ.IntegrableOn f (s ∪ t)

Defined in

Mathlib.MeasureTheory.VectorMeasure.SetIntegral

Cited by

1 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupNormedAddCommGroup