∀ {Ω : Type u_1} {ι : Type u_3} {m : MeasurableSpace Ω} [inst : LinearOrder ι] {f : MeasureTheory.Filtration ι m}
  {τ : Ω → WithTop ι},
  MeasureTheory.IsStoppingTime f τ → ∀ (i : ι), MeasureTheory.IsStoppingTime f fun ω => min (τ ω) ↑i