∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep k G) {Z : ModuleCat k}
  (h : (Rep.coinvariantsFunctor k G).obj A ⟶ Z),
  CategoryTheory.CategoryStruct.comp (groupHomology.H0π A)
      (CategoryTheory.CategoryStruct.comp (groupHomology.H0Iso A).hom h) =
    CategoryTheory.CategoryStruct.comp ((Rep.coinvariantsMk k G).app A) h