∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C],
  (∀ (J : Type) [inst_1 : CategoryTheory.SmallCategory J] [CategoryTheory.CountableCategory J],
      CategoryTheory.Limits.HasColimitsOfShape J C) →
    CategoryTheory.Limits.HasCountableColimits C