∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {ι : Type u_2} {c : ComplexShape ι} (K : HomologicalComplex C c) (i : ι) [inst_2 : K.HasHomology i],
  HomologicalComplex.cyclesMap (CategoryTheory.CategoryStruct.id K) i = CategoryTheory.CategoryStruct.id (K.cycles i)