Theorems · Theorem · measure theory

MeasureTheory.lpMeasToLpTrimLie_symm_toLp

∀ {α : Type u_1} {F : Type u_2} {p : ENNReal} [inst : NormedAddCommGroup F] {m m0 : MeasurableSpace α}
  {μ : MeasureTheory.Measure α} [one_le_p : Fact (1 ≤ p)] [inst_1 : NormedSpace ℝ F] (hm : m ≤ m0) (f : α → F)
  (hf : MeasureTheory.MemLp f p (μ.trim hm)),
  ↑((MeasureTheory.lpMeasToLpTrimLie F ℝ p μ hm).symm (MeasureTheory.MemLp.toLp f hf)) = MeasureTheory.MemLp.toLp f ⋯

Defined in

Mathlib.MeasureTheory.Function.ConditionalExpectation.AEMeasurable

Cited by

1 results in Mathlib

Foundations

Depth 241 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupFactNormedSpace