Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.of_union

∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
  {v : MeasureTheory.VectorMeasure α M} [T2Space M] {A B : Set α},
  Disjoint A B → MeasurableSet A → MeasurableSet B → v (A ∪ B) = v A + v B

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

20 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceT2Space