∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor Cᵒᵖ (Type w)} {X : C}
  {x : F.obj (Opposite.op X)}, F.IsRepresentedBy x → ∀ {Y : C} (e : Y ≅ X), F.IsRepresentedBy (F.map e.hom.op x)