∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} J]
  (X : C) [CategoryTheory.Limits.HasLimitsOfShape J (CategoryTheory.Over X)],
  CategoryTheory.Limits.HasLimitsOfShape J (CategoryTheory.MonoOver X)