Theorems · Theorem · measure theory

MeasureTheory.FinStronglyMeasurable.const_smul

∀ {α : Type u_1} {β : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → β}
  [inst : TopologicalSpace β] {𝕜 : Type u_5} [inst_1 : TopologicalSpace 𝕜] [inst_2 : Zero β]
  [inst_3 : SMulZeroClass 𝕜 β] [ContinuousSMul 𝕜 β],
  MeasureTheory.FinStronglyMeasurable f μ → ∀ (c : 𝕜), MeasureTheory.FinStronglyMeasurable (c • f) μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic

Cited by

1 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceZeroSMulZeroClassContinuousSMul