Theorems · Theorem · measure theory

MeasureTheory.LocallyIntegrableOn.integrableOn_compact_subset

∀ {X : Type u_1} {ε : Type u_3} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : TopologicalSpace ε]
  [inst_3 : ContinuousENorm ε] {f : X → ε} {μ : MeasureTheory.Measure X} {s : Set X}
  [TopologicalSpace.PseudoMetrizableSpace ε],
  MeasureTheory.LocallyIntegrableOn f s μ → ∀ {t : Set X}, t ⊆ s → IsCompact t → MeasureTheory.IntegrableOn f t μ

Defined in

Mathlib.MeasureTheory.Function.LocallyIntegrable

Cited by

13 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceTopologicalSpaceContinuousENormTopologicalSpace.PseudoMetrizableSpace