Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.tendsto_vectorMeasure_iInter_atTop_nat

∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_4} [inst : AddCommGroup M] [inst_1 : TopologicalSpace M]
  [T2Space M] [ContinuousSub M] {v : MeasureTheory.VectorMeasure α M} {s : ℕ → Set α},
  Antitone s → (∀ (i : ℕ), MeasurableSet (s i)) → Filter.Tendsto (fun n => v (s n)) Filter.atTop (nhds (v (⋂ n, s n)))

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

1 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceT2SpaceContinuousSub