Theorems · Theorem · measure theory

MeasureTheory.UniformIntegrable.ae_eq

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup β] {p : ENNReal} {f g : ι → α → β},
  MeasureTheory.UniformIntegrable f p μ → (∀ (n : ι), f n =ᵐ[μ] g n) → MeasureTheory.UniformIntegrable g p μ

Defined in

Mathlib.MeasureTheory.Function.UniformIntegrable

Cited by

4 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup