∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : HomotopicalAlgebra.ModelCategory C]
  {X Y : HomotopicalAlgebra.CofibrantObject C} (f : X ⟶ Y),
  HomotopicalAlgebra.WeakEquivalence (HomotopicalAlgebra.CofibrantObject.toHoCat.map f) =
    HomotopicalAlgebra.WeakEquivalence f