Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.const_nsmul
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {mα : MeasurableSpace α} [inst : TopologicalSpace β] [inst_1 : AddMonoid β]
[ContinuousAdd β], MeasureTheory.StronglyMeasurable f → ∀ (n : ℕ), MeasureTheory.StronglyMeasurable (n • f)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddMonoidstatement and proof · cited by 2,864
- ContinuousAddstatement and proof · cited by 777
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- MeasureTheory.StronglyMeasurable.approxproof · cited by 40
- MeasureTheory.StronglyMeasurable.tendsto_approxproof · cited by 36
- Filter.Tendsto.nsmulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.const_nsmulproof · cited by 1
- MeasureTheory.StronglyMeasurable.fun_const_nsmulproof · cited by 0