Theorems · Theorem · measure theory

aeSeq.aeSeq_eq_fun_ae

∀ {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} [Countable ι] (hf : ∀ (i : ι), AEMeasurable (f i) μ),
  (∀ᵐ (x : α) ∂μ, p x fun n => f n x) → ∀ᵐ (a : α) ∂μ, ∀ (i : ι), aeSeq hf p i a = f i a

Defined in

Mathlib.MeasureTheory.Function.AEMeasurableSequence

Cited by

2 results in Mathlib

Foundations

Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceCountable