∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] (X : C) (n : ℕ),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.CategoryStruct.id
        ((CategoryTheory.SimplicialObject.Augmented.const.obj X).left.obj (Opposite.op { len := n })))
      ((CategoryTheory.SimplicialObject.Augmented.const.obj X).left.δ 0) =
    CategoryTheory.CategoryStruct.id
      ((CategoryTheory.SimplicialObject.Augmented.const.obj X).left.obj (Opposite.op { len := n }))