Sort u →
  {J : Type u_1} →
    [inst : LinearOrder J] →
      {i j : J} →
        CategoryTheory.SimplicialThickening.Path i j →
          {J' : Type u_1} →
            [inst' : LinearOrder J'] → {i' j' : J'} → CategoryTheory.SimplicialThickening.Path i' j' → Sort u