{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {P : CategoryTheory.ObjectProperty C} →
      {motive : P.IsClosedUnderQuotients → Sort u_1} →
        (t : P.IsClosedUnderQuotients) →
          ((prop_of_epi : ∀ {X Y : C} (f : X ⟶ Y) [CategoryTheory.Epi f], P X → P Y) → motive ⋯) → motive t