{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type w} →
      [inst_1 : LinearOrder J] →
        {j : J} → CategoryTheory.Functor (↑(Set.Iic j)) C → (i₁ i₂ : J) → i₁ ≤ i₂ → i₂ ≤ j → CategoryTheory.Arrow C