Theorems · Theorem · measure theory

MeasureTheory.AECover.inter

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

Elementwise intersection of two AECovers is an AECover.

Defined in

Mathlib.MeasureTheory.Integral.IntegralEqImproper

Cited by

5 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpace