∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasKernels C] [inst_3 : CategoryTheory.Limits.HasCokernels C]
  {X Y : CategoryTheory.ShortComplex C} (φ : X ⟶ Y),
  (CategoryTheory.ShortComplex.cyclesFunctor C).map φ = CategoryTheory.ShortComplex.cyclesMap φ