Theorems · Theorem · measure theory

MeasureTheory.Integrable.prodMk

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup β] [inst_1 : NormedAddCommGroup γ] {f : α → β} {g : α → γ},
  MeasureTheory.Integrable f μ → MeasureTheory.Integrable g μ → MeasureTheory.Integrable (fun x => (f x, g x)) μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

5 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedAddCommGroup