Theorems · Theorem · measure theory

MeasureTheory.MemLp.finStronglyMeasurable_of_stronglyMeasurable

∀ {α : Type u_1} {G : Type u_2} {p : ENNReal} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup G] {f : α → G},
  MeasureTheory.MemLp f p μ →
    MeasureTheory.StronglyMeasurable f → p ≠ 0 → p ≠ ⊤ → MeasureTheory.FinStronglyMeasurable f μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Lp

Cited by

2 results in Mathlib

Foundations

Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup