Theorems · Theorem · measure theory

MeasureTheory.IntegrableAtFilter.smul

∀ {α : Type u_1} {E : Type u_5} {mα : MeasurableSpace α} [inst : NormedAddCommGroup E] {μ : MeasureTheory.Measure α}
  {l : Filter α} {𝕜 : Type u_7} [inst_1 : NormedAddCommGroup 𝕜] [inst_2 : SMulZeroClass 𝕜 E] [IsBoundedSMul 𝕜 E]
  {f : α → E}, MeasureTheory.IntegrableAtFilter f l μ → ∀ (c : 𝕜), MeasureTheory.IntegrableAtFilter (c • f) l μ

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

2 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedAddCommGroupSMulZeroClassIsBoundedSMul