Theorems · Definition · functional analysis

MeasureTheory.AEEqFun.Integrable

{α : Type u_1} →
  {ε : Type u_3} →
    {m : MeasurableSpace α} →
      {μ : MeasureTheory.Measure α} → [inst : TopologicalSpace ε] → [ContinuousENorm ε] → (α →ₘ[μ] ε) → Prop

A class of almost everywhere equal functions is Integrable if its function representative is integrable.

Defined in

Mathlib.MeasureTheory.Function.L1Space.AEEqFun

Cited by

8 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm