Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.of_sdiff

∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_4} [inst : AddCommGroup M] [inst_1 : TopologicalSpace M]
  [T2Space M] {v : MeasureTheory.VectorMeasure α M} {A B : Set α},
  MeasurableSet A → MeasurableSet B → A ⊆ B → v (B \ A) = v B - v A

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

2 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceT2Space