Theorems · Theorem · measure theory

MeasureTheory.Integrable.smul_measure

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

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

8 results in Mathlib

Foundations

Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoid