Theorems · Theorem · measure theory

MeasureTheory.mem_lpMeasSubgroup_iff_aestronglyMeasurable

∀ {α : Type u_1} {F : Type u_2} {p : ENNReal} [inst : NormedAddCommGroup F] {m m0 : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} {f : ↥(MeasureTheory.Lp F p μ)},
  f ∈ MeasureTheory.lpMeasSubgroup F m p μ ↔ MeasureTheory.AEStronglyMeasurable (↑↑f) μ

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable

Cited by

4 results in Mathlib

Foundations

Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup