Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.variation_add_le

∀ {X : Type u_1} {V : Type u_2} {mX : MeasurableSpace X} [inst : TopologicalSpace V] [inst_1 : ENormedAddCommMonoid V]
  [inst_2 : T2Space V] {μ ν : MeasureTheory.VectorMeasure X V} [inst_3 : ContinuousAdd V],
  (μ + ν).variation ≤ μ.variation + ν.variation

Defined in

Mathlib.MeasureTheory.VectorMeasure.Variation.Basic

Cited by

4 results in Mathlib

Foundations

Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddCommMonoidT2SpaceContinuousAdd