{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {D : Type u₂} →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
          [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D] →
            {X Y : C} →
              {f : X ⟶ Y} →
                (c : CategoryTheory.Limits.KernelFork f) →
                  (G : CategoryTheory.Functor C D) →
                    [inst_4 : G.PreservesZeroMorphisms] →
                      CategoryTheory.Limits.IsLimit (G.mapCone c) ≃ CategoryTheory.Limits.IsLimit (c.map G)