{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y : C} →
      (f g : X ⟶ Y) →
        {D : Type u₂} →
          [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
            (G : CategoryTheory.Functor C D) →
              [inst_2 : CategoryTheory.Limits.HasEqualizer f g] →
                [inst_3 : CategoryTheory.Limits.HasEqualizer (G.map f) (G.map g)] →
                  G.obj (CategoryTheory.Limits.equalizer f g) ⟶ CategoryTheory.Limits.equalizer (G.map f) (G.map g)