∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep k G) {Z : ModuleCat k}
  (h : ModuleCat.of k ↥(groupHomology.cycles₂ A) ⟶ Z),
  CategoryTheory.CategoryStruct.comp (groupHomology.toCycles A 3 2)
      (CategoryTheory.CategoryStruct.comp (groupHomology.isoCycles₂ A).hom h) =
    CategoryTheory.CategoryStruct.comp (groupHomology.chainsIso₃ A).hom
      (CategoryTheory.CategoryStruct.comp (groupHomology.shortComplexH2 A).moduleCatLeftHomologyData.f' h)