{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{max v₁ v₂, u₂} D] →
        {F : CategoryTheory.Functor C D} →
          F.FullyFaithful →
            (X : C) → F.op.comp (CategoryTheory.yoneda.obj (F.obj X)) ≅ CategoryTheory.uliftYoneda.{v₂, v₁, u₁}.obj X