∀ {J : Type w} {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} {f : J → (X ⟶ Y)}
  [inst_1 : CategoryTheory.Limits.HasWideEqualizer f] [inst_2 : Nonempty J] {W : C} (k k_1 : W ⟶ X) (e_k : k = k_1)
  (h : ∀ (j₁ j₂ : J), CategoryTheory.CategoryStruct.comp k (f j₁) = CategoryTheory.CategoryStruct.comp k (f j₂)),
  CategoryTheory.Limits.wideEqualizer.lift k h = CategoryTheory.Limits.wideEqualizer.lift k_1 ⋯