∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C]
  [inst_2 : CategoryTheory.Limits.HasInitial C] (X : HomotopicalAlgebra.CofibrantObject C),
  HomotopicalAlgebra.IsCofibrant X.obj