∀ {n : ℕ} (hn : autoParam ((SimplexCategory.mk n).len ≤ 2) SimplexCategory.Truncated.δ₂_one_comp_σ₂_zero._auto_1)
  (hn' : autoParam ((SimplexCategory.mk (n + 1)).len ≤ 2) SimplexCategory.Truncated.δ₂_one_comp_σ₂_zero._auto_3),
  CategoryTheory.CategoryStruct.comp (SimplexCategory.Truncated.δ₂ 1 hn hn') (SimplexCategory.Truncated.σ₂ 0 hn' hn) =
    CategoryTheory.CategoryStruct.id { obj := SimplexCategory.mk n, property := hn }