Theorems · Theorem · measure theory
Multiset.measurable_fun_sum
∀ {M : Type u_2} {α : Type u_4} [inst : AddCommMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M]
{m : MeasurableSpace α} (s : Multiset (α → M)),
(∀ f ∈ s, Measurable f) → Measurable fun x => (Multiset.map (fun f => f x) s).sum- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- Multisetstatement and proof · cited by 2,627
- Measurablestatement and proof · cited by 1,499
- Multiset.mapstatement · cited by 876
- Multiset.sumstatement · cited by 388
- MeasurableAdd₂statement and proof · cited by 155
- Pi.multiset_sum_applyproof · cited by 4
- Multiset.measurable_sumproof · cited by 1
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