∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {X : C} (E : CategoryTheory.PreZeroHypercover X)
  {Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) [inst_1 : CategoryTheory.Limits.HasPullback f g]
  [inst_2 : ∀ (i : E.I₀), CategoryTheory.Limits.HasPullback (E.f i) (CategoryTheory.Limits.pullback.fst f g)]
  (x : (E.pullbackCoverOfLeft f g).I₀),
  CategoryTheory.Limits.HasPullback (CategoryTheory.CategoryStruct.comp (E.f x) f) g