∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {X Y : C} (f g : X ⟶ Y) [inst_2 : CategoryTheory.Limits.HasKernel g],
  f = g → CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι g) f = 0