∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : HomotopicalAlgebra.ModelCategory C]
  (X : HomotopicalAlgebra.BifibrantObject C),
  HomotopicalAlgebra.BifibrantObject.HoCat.ιFibrantObject.obj (HomotopicalAlgebra.BifibrantObject.toHoCat.obj X) =
    HomotopicalAlgebra.FibrantObject.toHoCat.obj (HomotopicalAlgebra.BifibrantObject.ιFibrantObject.obj X)