∀ {A : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} A] [inst_1 : CategoryTheory.Abelian A]
  (X : CategoryTheory.SimplicialObject A) {Z : ChainComplex A ℕ}
  (h : AlgebraicTopology.NormalizedMooreComplex.obj X ⟶ Z),
  CategoryTheory.CategoryStruct.comp AlgebraicTopology.DoldKan.PInfty
      (CategoryTheory.CategoryStruct.comp (AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex X) h) =
    CategoryTheory.CategoryStruct.comp (AlgebraicTopology.DoldKan.PInftyToNormalizedMooreComplex X) h