{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [∀ (n : ℕ) (f : CategoryTheory.Arrow C),
          CategoryTheory.Limits.HasWidePullback f.right (fun x => f.left) fun x => f.hom] →
      CategoryTheory.Functor (CategoryTheory.Arrow C) (CategoryTheory.SimplicialObject C)