Theorems · Theorem · measure theory

MeasureTheory.Integrable.of_comp_snd

∀ {α : Type u_1} {β : Type u_2} {E : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
  {μ : MeasureTheory.Measure α} {ν : MeasureTheory.Measure β} [inst_2 : NormedAddCommGroup E] [MeasureTheory.SFinite ν]
  {f : β → E}, MeasureTheory.Integrable (fun x => f x.2) (μ.prod ν) → μ ≠ 0 → MeasureTheory.Integrable f ν

Defined in

Mathlib.MeasureTheory.Integral.Prod

Cited by

2 results in Mathlib

Foundations

Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceNormedAddCommGroupMeasureTheory.SFinite