∀ {M : Type u_2} {α : Type u_4} [inst : CommMonoid M] [inst_1 : MeasurableSpace M] [MeasurableMul₂ M]
  {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (s : Multiset (α → M)),
  (∀ f ∈ s, AEMeasurable f μ) → AEMeasurable (fun x => (Multiset.map (fun f => f x) s).prod) μ