Theorems · Theorem · measure theory

MeasureTheory.Integrable.restrict

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_8} [inst : TopologicalSpace ε]
  [inst_1 : ContinuousENorm ε] {f : α → ε},
  MeasureTheory.Integrable f μ → ∀ {s : Set α}, MeasureTheory.Integrable f (μ.restrict s)

One should usually use MeasureTheory.Integrable.integrableOn instead.

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

15 results in Mathlib

Foundations

Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm