Theorems · Theorem · measure theory

MeasureTheory.IntegrableOn.intervalIntegrable

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

Defined in

Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic

Cited by

2 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceENormedAddMonoid