Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.swap

∀ {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]
  [MeasureTheory.SFinite μ] {f : α × β → E} {s : Set α} {t : Set β},
  MeasureTheory.IntegrableOn f (s ×ˢ t) (μ.prod ν) → MeasureTheory.IntegrableOn (f ∘ Prod.swap) (t ×ˢ s) (ν.prod μ)

Defined in

Mathlib.MeasureTheory.Integral.Prod

Cited by

0 results in Mathlib

Foundations

Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceNormedAddCommGroupMeasureTheory.SFiniteMeasureTheory.SFinite