English
There is a canonical function-like structure on Poly α given by the projection onto coefficient data; i.e., Poly α carries a natural FunLike structure.
Русский
У Poly α существует каноническая структура типа FunLike, задаваемая проекцией на данные коэффициентов.
LaTeX
$$$\text{Poly}(\alpha)$ is equipped with a canonical FunLike structure via the projection $\text{val}$.$$
Lean4
instance instFunLike : FunLike (Poly α) (α → ℕ) ℤ :=
⟨Subtype.val, Subtype.val_injective⟩