Theorems · Theorem · measure theory

MeasureTheory.aecover_Ico_of_Ico

∀ {α : Type u_1} {ι : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {l : Filter ι}
  [inst_1 : LinearOrder α] [inst_2 : TopologicalSpace α] [OrderClosedTopology α] [OpensMeasurableSpace α] {a b : ι → α}
  {A B : α} [MeasureTheory.NullSingletonClass μ],
  Filter.Tendsto a l (nhds A) →
    Filter.Tendsto b l (nhds B) → MeasureTheory.AECover (μ.restrict (Set.Ico A B)) l fun i => Set.Ico (a i) (b i)

Defined in

Mathlib.MeasureTheory.Integral.IntegralEqImproper

Cited by

0 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceLinearOrderTopologicalSpaceOrderClosedTopologyOpensMeasurableSpaceMeasureTheory.NullSingletonClass