Theorems · Theorem · measure theory

MeasureTheory.AECover.inter_restrict

∀ {α : Type u_1} {ι : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {l : Filter ι} {φ : ι → Set α},
  MeasureTheory.AECover μ l φ → ∀ {s : Set α}, MeasurableSet s → MeasureTheory.AECover (μ.restrict s) l fun i => φ i ∩ s

Defined in

Mathlib.MeasureTheory.Integral.IntegralEqImproper

Cited by

0 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace