∀ {C : Type u_1} {ι : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {c : ComplexShape ι} {K L : HomologicalComplex C c} (φ : K ⟶ L)
  (i j : ι) [inst_2 : K.HasHomology i] [inst_3 : K.HasHomology j] [inst_4 : L.HasHomology i] [inst_5 : L.HasHomology j],
  CategoryTheory.CategoryStruct.comp (HomologicalComplex.opcyclesMap φ i) (L.opcyclesToCycles i j) =
    CategoryTheory.CategoryStruct.comp (K.opcyclesToCycles i j) (HomologicalComplex.cyclesMap φ j)