Theorems · Theorem · measure theory

MeasureTheory.tendsto_measure_iUnion_atBot

∀ {α : Type u_1} {ι : Type u_5} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : Preorder ι]
  [Filter.atBot.IsCountablyGenerated] {s : ι → Set α},
  Antitone s → Filter.Tendsto (⇑μ ∘ s) Filter.atBot (nhds (μ (⋃ n, s n)))

Defined in

Mathlib.MeasureTheory.Measure.MeasureSpace

Cited by

1 results in Mathlib

Foundations

Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderFilter.IsCountablyGenerated