Mathlib Map

Theorems · Theorem · measure theory

Multiset.aemeasurable_sum

∀ {M : Type u_2} {α : Type u_4} [inst : AddCommMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M]
  {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (l : Multiset (α → M)),
  (∀ f ∈ l, AEMeasurable f μ) → AEMeasurable l.sum μ
Defined in
Mathlib.MeasureTheory.Group.Arithmetic
Cited by
2 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidMeasurableSpaceMeasurableAdd₂
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.aemeasurable_sum · cited by 3Finset.aemeasurable_sumMultiset.aemeasurable_fun_sum · cited by 0Multiset.aemeasurable_fun…MeasurableSpace · cited by 13106MeasurableSpaceAddCommMonoid · cited by 12281AddCommMonoidMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMultiset · cited by 2627MultisetAEMeasurable · cited by 840AEMeasurableMultiset.sum · cited by 388Multiset.sumMeasurableAdd₂ · cited by 155MeasurableAdd₂Multiset.mem_coe · cited by 17Multiset.mem_coeList.aemeasurable_sum · cited by 2List.aemeasurable_sumMultiset.aemeasurable_sumCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.