Theorems · Theorem · measure theory

MeasureTheory.locallyIntegrable_const_enorm

∀ {X : Type u_1} {ε : Type u_3} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : TopologicalSpace ε]
  [inst_3 : ContinuousENorm ε] {μ : MeasureTheory.Measure X} [MeasureTheory.IsLocallyFiniteMeasure μ] {c : ε},
  ‖c‖ₑ ≠ ⊤ → MeasureTheory.LocallyIntegrable (fun x => c) μ

Defined in

Mathlib.MeasureTheory.Function.LocallyIntegrable

Cited by

2 results in Mathlib

Foundations

Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceTopologicalSpaceContinuousENormMeasureTheory.IsLocallyFiniteMeasure