Theorems · Theorem · measure theory

MeasureTheory.lpTrimToLpMeas_ae_eq

∀ {α : Type u_1} {F : Type u_2} {𝕜 : Type u_3} {p : ENNReal} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} (hm : m ≤ m0)
  (f : ↥(MeasureTheory.Lp F p (μ.trim hm))), ↑↑↑(MeasureTheory.lpTrimToLpMeas F 𝕜 p μ hm f) =ᵐ[μ] ↑↑f

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable

Cited by

2 results in Mathlib

Foundations

Depth 235 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupNormedSpace