Theorems · Theorem · measure theory

MeasureTheory.AEStronglyMeasurable.prodMk_left

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
  {ν : MeasureTheory.Measure β} {X : Type u_4} [inst_2 : TopologicalSpace X] [MeasureTheory.SFinite ν] {f : α × β → X},
  MeasureTheory.AEStronglyMeasurable f (μ.prod ν) →
    ∀ᵐ (x : α) ∂μ, MeasureTheory.AEStronglyMeasurable (fun y => f (x, y)) ν

Defined in

Mathlib.MeasureTheory.Integral.Prod

Cited by

3 results in Mathlib

Foundations

Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceTopologicalSpaceMeasureTheory.SFinite