Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.restrict_inter_add_sdiff

∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_4} [inst : TopologicalSpace M] [inst_1 : AddCommMonoid M]
  [T2Space M] [inst_3 : ContinuousAdd M] {v : MeasureTheory.VectorMeasure α M} {s t : Set α},
  MeasurableSet s → MeasurableSet t → v.restrict (s ∩ t) + v.restrict (s \ t) = v.restrict s

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

3 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommMonoidT2SpaceContinuousAdd