{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        [inst_2 : CategoryTheory.MonoidalCategory C] →
          [inst_3 : CategoryTheory.MonoidalCategory D] →
            {F : CategoryTheory.Functor C D} →
              [F.Monoidal] →
                {G : CategoryTheory.Functor D C} →
                  (F ⊣ G) →
                    [F.IsEquivalence] → (X : C) → [CategoryTheory.HasLeftDual (F.obj X)] → CategoryTheory.HasLeftDual X