Theorems · Theorem · measure theory
Multiset.stronglyMeasurable_sum
∀ {α : Type u_1} {M : Type u_5} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M] [ContinuousAdd M]
{m : MeasurableSpace α} (l : Multiset (α → M)),
(∀ f ∈ l, MeasureTheory.StronglyMeasurable f) → MeasureTheory.StronglyMeasurable l.sum- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddCommMonoidstatement and proof · cited by 12,281
- Multisetstatement and proof · cited by 2,627
- ContinuousAddstatement and proof · cited by 777
- Multiset.sumstatement · cited by 388
- MeasureTheory.StronglyMeasurablestatement and proof · cited by 363
- Multiset.mem_coeproof · cited by 17
- List.stronglyMeasurable_sumproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.stronglyMeasurable_fun_sumproof · cited by 0