Theorems · Theorem · measure theory

IntervalIntegrable.aestronglyMeasurable

∀ {ε : Type u_3} [inst : TopologicalSpace ε] [inst_1 : ENormedAddMonoid ε] {f : ℝ → ε} {a b : ℝ}
  {μ : MeasureTheory.Measure ℝ},
  IntervalIntegrable f μ a b → MeasureTheory.AEStronglyMeasurable f (μ.restrict (Set.Ioc a b))

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

1 results in Mathlib

Foundations

Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddMonoid