toLaurent_apply — Mathlib

English

The underlying function of the Laurent algebra map equals the canonical Laurent map on polynomials.

Русский

Функция-основа алгебраической карты Лоранта равна канонической карте Лоранта на полиномах.

LaTeX

$$$\\text{coe}\\;\\text{toLaurentAlg} = \\text{coe}\\;\\text{toLaurent}$$$

Lean4

/-- This is not a simp lemma, as it is usually preferable to use the lemmas about `C` and `X`
instead. -/
theorem toLaurent_apply [Semiring R] (p : R[X]) : toLaurent p = p.toFinsupp.mapDomain (↑) :=
  rfl

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