{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {motive : CategoryTheory.Precoverage C → Sort u} →
      (t : CategoryTheory.Precoverage C) →
        ((coverings : (X : C) → Set (CategoryTheory.Presieve X)) → motive { coverings := coverings }) → motive t