Theorems · Theorem · measure theory

AEMeasurable.prodMk

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {m0 : MeasurableSpace α} [inst : MeasurableSpace β]
  [inst_1 : MeasurableSpace γ] {μ : MeasureTheory.Measure α} {f : α → β} {g : α → γ},
  AEMeasurable f μ → AEMeasurable g μ → AEMeasurable (fun x => (f x, g x)) μ

Defined in

Mathlib.MeasureTheory.Measure.AEMeasurable

Cited by

54 results in Mathlib

Foundations

Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace