∀ {Ω : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : Preorder ι] [inst_1 : InfSet ι] (u : ι → Ω → β) (s : Set β)
  (n : ι),
  MeasureTheory.hittingAfter u s n = fun x => if ∃ j, n ≤ j ∧ u j x ∈ s then ↑(sInf {i | n ≤ i ∧ u i x ∈ s}) else ⊤