∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} [inst : Preorder ι] (s : Set (MeasureTheory.Filtration ι m))
  (f : MeasureTheory.Filtration ι m), (∀ b ∈ s, b ≤ f) → ∀ (i : ι), ∀ m' ∈ (fun f => ↑f i) '' s, m' ≤ ↑f i