Theorems · Theorem · measure theory

MeasureTheory.integrable_comp_eval

∀ {ι : Type u_2} [inst : Fintype ι] {X : ι → Type u_3} {mX : (i : ι) → MeasurableSpace (X i)}
  {μ : (i : ι) → MeasureTheory.Measure (X i)} {E : Type u_4} [inst_1 : NormedAddCommGroup E]
  [∀ (i : ι), MeasureTheory.IsFiniteMeasure (μ i)] {i : ι} {f : X i → E},
  MeasureTheory.Integrable f (μ i) → MeasureTheory.Integrable (fun x => f (x i)) (MeasureTheory.Measure.pi μ)

Defined in

Mathlib.MeasureTheory.Integral.Pi

Cited by

1 results in Mathlib

Foundations

Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeNormedAddCommGroupMeasureTheory.IsFiniteMeasure