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Theorems · Theorem · measure theory

List.aemeasurable_sum

∀ {M : Type u_2} {α : Type u_3} [inst : AddMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M]
  {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (l : List (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 176 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.aemeasurable_sum · cited by 2Multiset.aemeasurable_sumList.aemeasurable_fun_sum · cited by 0List.aemeasurable_fun_sumMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureAddMonoid · cited by 2864AddMonoidAEMeasurable · cited by 840AEMeasurableMeasurableAdd₂ · cited by 155MeasurableAdd₂AEMeasurable.add · cited by 8AEMeasurable.addaemeasurable_zero · cited by 3aemeasurable_zeroList.aemeasurable_sumCITED BYCITES

Cites7

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Cited by2

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