Theorems · Theorem · measure theory

MeasureTheory.AEFinStronglyMeasurable.const_smul

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace β]
  {f : α → β} {𝕜 : Type u_5} [inst_1 : TopologicalSpace 𝕜] [inst_2 : Zero β] [inst_3 : SMulZeroClass 𝕜 β]
  [ContinuousSMul 𝕜 β],
  MeasureTheory.AEFinStronglyMeasurable f μ → ∀ (c : 𝕜), MeasureTheory.AEFinStronglyMeasurable (c • f) μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

0 results in Mathlib

Foundations

Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceZeroSMulZeroClassContinuousSMul