Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.const_nsmul
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} [inst_1 : AddMonoid β] [ContinuousAdd β],
MeasureTheory.AEStronglyMeasurable f μ → ∀ (n : ℕ), MeasureTheory.AEStronglyMeasurable (n • f) μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddMonoidstatement and proof · cited by 2,864
- ContinuousAddstatement and proof · cited by 777
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- Filter.EventuallyEq.const_smulproof · cited by 9
- MeasureTheory.StronglyMeasurable.const_nsmulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.fun_const_nsmulproof · cited by 0