Theorems · Theorem · measure theory

MeasureTheory.HasFiniteIntegral.smul_enorm

∀ {α : Type u_1} {ε'' : Type u_6} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace ε'']
  [inst_1 : ESeminormedAddMonoid ε''] {𝕜 : Type u_7} [inst_2 : NormedAddGroup 𝕜] [inst_3 : SMul 𝕜 ε'']
  [ENormSMulClass 𝕜 ε''] (c : 𝕜) {f : α → ε''},
  MeasureTheory.HasFiniteIntegral f μ → MeasureTheory.HasFiniteIntegral (c • f) μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.HasFiniteIntegral

Cited by

1 results in Mathlib

Foundations

Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoidNormedAddGroupSMulENormSMulClass