toLaurent — Mathlib

English

The algebra map from polynomial rings to Laurent polynomials is compatible with the standard Laurent map on polynomials.

Русский

Алгебраическая линейка от полиномов к лорантовым полиномам совместима с обычной лорантовой картой полиномов.

LaTeX

$$$\\text{toLaurentAlg}(p) = \\text{toLaurent}(p)$$$

Lean4

/-- The ring homomorphism, taking a polynomial with coefficients in `R` to a Laurent polynomial
with coefficients in `R`. -/
def toLaurent [Semiring R] : R[X] →+* R[T;T⁻¹] :=
  (mapDomainRingHom R Int.ofNatHom).comp (toFinsuppIso R)

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