Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.variation_finsetSum_le

∀ {X : Type u_1} {V : Type u_2} {mX : MeasurableSpace X} [inst : TopologicalSpace V] [inst_1 : ENormedAddCommMonoid V]
  [inst_2 : T2Space V] [inst_3 : ContinuousAdd V] {ι : Type u_3} (s : Finset ι)
  (μ : ι → MeasureTheory.VectorMeasure X V), (∑ i ∈ s, μ i).variation ≤ ∑ i ∈ s, (μ i).variation

Defined in

Mathlib.MeasureTheory.VectorMeasure.Variation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddCommMonoidT2SpaceContinuousAdd