Theorems · Theorem · measure theory

MeasureTheory.lpTrimToLpMeasSubgroup_ae_eq

∀ {α : Type u_1} {F : Type u_2} {p : ENNReal} [inst : NormedAddCommGroup F] {m m0 : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} (hm : m ≤ m0) (f : ↥(MeasureTheory.Lp F p (μ.trim hm))),
  ↑↑↑(MeasureTheory.lpTrimToLpMeasSubgroup F p μ hm f) =ᵐ[μ] ↑↑f

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable

Cited by

2 results in Mathlib

Foundations

Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup