(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] →
          CategoryTheory.ShortComplex.π₁ ⟶ CategoryTheory.ShortComplex.cyclesFunctor C