∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasKernels C] [inst_3 : CategoryTheory.Limits.HasCokernels C]
  {X Y Z : CategoryTheory.ShortComplex C} (f : X ⟶ Y) (g : Y ⟶ Z),
  CategoryTheory.ShortComplex.cyclesMap (CategoryTheory.CategoryStruct.comp f g) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.ShortComplex.cyclesMap f)
      (CategoryTheory.ShortComplex.cyclesMap g)