Theorems · Theorem · functional analysis

MeasureTheory.MemLp.of_measure_le_smul

∀ {α : Type u_1} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α} {ε : Type u_7}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε] {μ' : MeasureTheory.Measure α} {c : ENNReal},
  c ≠ ⊤ → μ' ≤ c • μ → ∀ {f : α → ε}, MeasureTheory.MemLp f p μ → MeasureTheory.MemLp f p μ'

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

3 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceContinuousENorm