Theorems · Theorem · measure theory

MeasureTheory.dominatedFinMeasAdditive_condExpInd

∀ {α : Type u_1} (G : Type u_4) [inst : NormedAddCommGroup G] {m m0 : MeasurableSpace α} [inst_1 : NormedSpace ℝ G]
  (hm : m ≤ m0) (μ : MeasureTheory.Measure α) [inst_2 : MeasureTheory.SigmaFinite (μ.trim hm)],
  MeasureTheory.DominatedFinMeasAdditive μ (MeasureTheory.condExpInd G hm μ) 1

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.CondexpL1

Cited by

14 results in Mathlib

Foundations

Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceMeasureTheory.SigmaFinite