Theorems · Theorem · measure theory

MeasureTheory.aestronglyMeasurable_condExpL1CLM

∀ {α : Type u_1} {F' : Type u_3} [inst : NormedAddCommGroup F'] [inst_1 : NormedSpace ℝ F'] {m m0 : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} {hm : m ≤ m0} [inst_2 : MeasureTheory.SigmaFinite (μ.trim hm)]
  [inst_3 : CompleteSpace F'] (f : ↥(MeasureTheory.Lp F' 1 μ)),
  MeasureTheory.AEStronglyMeasurable (↑↑((MeasureTheory.condExpL1CLM F' hm μ) f)) μ

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1

Cited by

1 results in Mathlib

Foundations

Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceMeasureTheory.SigmaFiniteCompleteSpace