Theorems · Theorem · measure theory

MeasureTheory.memLp_of_memLp_trim

∀ {α : Type u_1} {ε : Type u_3} {m m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε] (hm : m ≤ m0) {f : α → ε},
  MeasureTheory.MemLp f p (μ.trim hm) → MeasureTheory.MemLp f p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Trim

Cited by

5 results in Mathlib

Foundations

Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm