Theorems · Theorem · measure theory

aeSeq.iSup

∀ {ι : Sort u_1} {α : Type u_2} {β : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {f : ι → α → β}
  {μ : MeasureTheory.Measure α} {p : α → (ι → β) → Prop} [inst_2 : SupSet β] [Countable ι]
  (hf : ∀ (i : ι), AEMeasurable (f i) μ), (∀ᵐ (x : α) ∂μ, p x fun n => f n x) → ⨆ n, aeSeq hf p n =ᵐ[μ] ⨆ n, f n

Defined in

Mathlib.MeasureTheory.Function.AEMeasurableSequence

Cited by

3 results in Mathlib

Foundations

Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceSupSetCountable