Theorems · Theorem · measure theory
List.measurable_fun_sum
∀ {M : Type u_2} {α : Type u_3} [inst : AddMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M]
{m : MeasurableSpace α} (l : List (α → M)),
(∀ f ∈ l, Measurable f) → Measurable fun x => (List.map (fun f => f x) l).sum- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- AddMonoidstatement and proof · cited by 2,864
- Measurablestatement and proof · cited by 1,499
- MeasurableAdd₂statement and proof · cited by 155
- Pi.list_sum_applyproof · cited by 4
- List.measurable_sumproof · cited by 2
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