∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S₁ S₂ : CategoryTheory.ShortComplex C} (e : S₁ ≅ S₂) [inst_2 : S₁.HasLeftHomology] [inst_3 : S₂.HasLeftHomology],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.ShortComplex.cyclesMap e.hom)
      (CategoryTheory.ShortComplex.cyclesMap e.inv) =
    CategoryTheory.CategoryStruct.id S₁.cycles