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Theorems · Theorem · measure theory

Multiset.measurable_sum

∀ {M : Type u_2} {α : Type u_4} [inst : AddCommMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M]
  {m : MeasurableSpace α} (l : Multiset (α → M)), (∀ f ∈ l, Measurable f) → Measurable l.sum
Defined in
Mathlib.MeasureTheory.Group.Arithmetic
Cited by
1 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidMeasurableSpaceMeasurableAdd₂
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Around this declaration

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

Multiset.measurable_fun_sum · cited by 0Multiset.measurable_fun_s…MeasurableSpace · cited by 13106MeasurableSpaceAddCommMonoid · cited by 12281AddCommMonoidMultiset · cited by 2627MultisetMeasurable · cited by 1499MeasurableMultiset.sum · cited by 388Multiset.sumMeasurableAdd₂ · cited by 155MeasurableAdd₂Multiset.mem_coe · cited by 17Multiset.mem_coeList.measurable_sum · cited by 2List.measurable_sumMultiset.measurable_sumCITED BYCITES

Cites8

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Cited by1

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