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Theorems · Theorem · measure theory

Multiset.aemeasurable_prod

∀ {M : Type u_2} {α : Type u_4} [inst : CommMonoid M] [inst_1 : MeasurableSpace M] [MeasurableMul₂ M]
  {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (l : Multiset (α → M)),
  (∀ f ∈ l, AEMeasurable f μ) → AEMeasurable l.prod μ
Defined in
Mathlib.MeasureTheory.Group.Arithmetic
Cited by
2 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidMeasurableSpaceMeasurableMul₂
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Around this declaration

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

Finset.aemeasurable_prod · cited by 3Finset.aemeasurable_prodMultiset.aemeasurable_fun_prod · cited by 0Multiset.aemeasurable_fun…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMultiset · cited by 2627MultisetCommMonoid · cited by 2264CommMonoidAEMeasurable · cited by 840AEMeasurableMultiset.prod · cited by 528Multiset.prodMeasurableMul₂ · cited by 139MeasurableMul₂List.aemeasurable_prod · cited by 2List.aemeasurable_prodMultiset.aemeasurable_prodCITED BYCITES

Cites8

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Cited by2

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