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Theorems · Theorem · measure theory

List.measurable_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 l.sum
Defined in
Mathlib.MeasureTheory.Group.Arithmetic
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidMeasurableSpaceMeasurableAdd₂
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Around this declaration

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

Multiset.measurable_sum · cited by 1Multiset.measurable_sumList.measurable_fun_sum · cited by 0List.measurable_fun_sumMeasurableSpace · cited by 13106MeasurableSpaceAddMonoid · cited by 2864AddMonoidMeasurable · cited by 1499MeasurableMeasurableAdd₂ · cited by 155MeasurableAdd₂Measurable.add · cited by 25Measurable.addmeasurable_zero · cited by 17measurable_zeroList.measurable_sumCITED BYCITES

Cites6

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.