{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F : CategoryTheory.Functor C D} →
          {G : CategoryTheory.Functor D C} →
            CategoryTheory.Adjunction.CoreHomEquivUnitCounit F G → (X : C) → (Y : D) → (F.obj X ⟶ Y) ≃ (X ⟶ G.obj Y)