Theorems · Theorem · measure theory

measurableSet_integrable

∀ {α : Type u_1} {E : Type u_2} [inst : NormedAddCommGroup E] {m : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  {β : Type u_7} {mβ : MeasurableSpace β} [MeasureTheory.SFinite μ] ⦃f : β → α → E⦄,
  MeasureTheory.StronglyMeasurable (Function.uncurry f) → MeasurableSet {x | MeasureTheory.Integrable (f x) μ}

Defined in

Mathlib.MeasureTheory.Integral.SetToL1

Cited by

1 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupMeasureTheory.SFinite