{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y : C} →
      [inst_1 : HomotopicalAlgebra.CategoryWithWeakEquivalences C] →
        (P : HomotopicalAlgebra.PathObject Y) → (f : X ⟶ Y) → P.RightHomotopy f f