Theorems · Theorem · functional analysis

MeasureTheory.MemLp.aemeasurable

∀ {α : Type u_1} {ε : Type u_2} {m0 : MeasurableSpace α} [inst : ENorm ε] {μ : MeasureTheory.Measure α}
  [inst_1 : MeasurableSpace ε] [inst_2 : TopologicalSpace ε] [TopologicalSpace.PseudoMetrizableSpace ε] [BorelSpace ε]
  {f : α → ε} {p : ENNReal}, MeasureTheory.MemLp f p μ → AEMeasurable f μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Defs

Cited by

10 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ENormMeasurableSpaceTopologicalSpaceTopologicalSpace.PseudoMetrizableSpaceBorelSpace