Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.smul
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : TopologicalSpace β] {𝕜 : Type u_5}
[inst_1 : TopologicalSpace 𝕜] [inst_2 : SMul 𝕜 β] [ContinuousSMul 𝕜 β] {f : α → 𝕜} {g : α → β},
MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable g → MeasureTheory.StronglyMeasurable (f • g)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ContinuousSMulstatement and proof · cited by 1,016
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- ContinuousSMul.continuous_smulproof · cited by 21
- Continuous.comp_stronglyMeasurableproof · cited by 18
- MeasureTheory.StronglyMeasurable.prodMkproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Submartingale.sum_smul_subproof · cited by 2
- aestronglyMeasurable_withDensity_iffproof · cited by 1
- MeasureTheory.StronglyMeasurable.fun_smulproof · cited by 0