Theorems · Theorem · measure theory

MeasureTheory.Integrable.of_measure_le_smul

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_8} [inst : TopologicalSpace ε]
  [inst_1 : ESeminormedAddMonoid ε] {μ' : MeasureTheory.Measure α} {c : ENNReal},
  c ≠ ⊤ → μ' ≤ c • μ → ∀ {f : α → ε}, MeasureTheory.Integrable f μ → MeasureTheory.Integrable f μ'

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

3 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoid