∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  {X : CategoryTheory.SimplicialObject C} {Y : C} {n q : ℕ} {φ : Y ⟶ X.obj (Opposite.op (SimplexCategory.mk (n + 1)))},
  AlgebraicTopology.DoldKan.HigherFacesVanish q φ →
    ∀ (j : Fin (n + 2)), j ≠ 0 → n + 2 ≤ ↑j + q → CategoryTheory.CategoryStruct.comp φ (X.δ j) = 0