∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  {X : CategoryTheory.SimplicialObject C},
  AlgebraicTopology.DoldKan.P 0 = CategoryTheory.CategoryStruct.id (AlgebraicTopology.AlternatingFaceMapComplex.obj X)