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