∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep k G),
  CategoryTheory.CategoryStruct.comp (groupHomology.chainsIso₁ A).inv ((groupHomology.inhomogeneousChains A).d 1 0) =
    CategoryTheory.CategoryStruct.comp (groupHomology.d₁₀ A) (groupHomology.chainsIso₀ A).inv