{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F F' : CategoryTheory.Functor C D} →
          {G : CategoryTheory.Functor D C} →
            (F ⊣ G) → (F' ⊣ G) → (F.op.comp CategoryTheory.coyoneda ≅ F'.op.comp CategoryTheory.coyoneda)