∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C]
  {S : CategoryTheory.ShortComplex C} (i : ℤ),
  (HomologicalComplex.sc (CochainComplex.mappingCone (S.map (HomologicalComplex.single C (ComplexShape.up ℤ) 0)).f)
      i).HasHomology