∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  {X : CategoryTheory.SimplicialObject C} {Y Z : C} {q n : ℕ}
  {φ : Y ⟶ X.obj (Opposite.op (SimplexCategory.mk (n + 1)))},
  AlgebraicTopology.DoldKan.HigherFacesVanish q φ →
    ∀ (f : Z ⟶ Y), AlgebraicTopology.DoldKan.HigherFacesVanish q (CategoryTheory.CategoryStruct.comp f φ)