algebraPolynomial' — Mathlib

English

Compatibility of the pUnit algebra equivalence with the mv power-series realization continues to hold: applying toPowerSeries after pUnitAlgEquiv^{-1} equals taking toMvPowerSeries.

Русский

Совместимость эквивалентности pUnit с реализацией mv-power-series: применение toPowerSeries после pUnitAlgEquiv^{-1} равно преобразованию через toMvPowerSeries.

LaTeX

$$$(f.toPowerSeries) = (\\mathrm{pUnitAlgEquiv}(R)^{-1} f).toMvPowerSeries$$$

Lean4

instance (priority := 100) algebraPolynomial' {A : Type*} [CommSemiring A] [Algebra R A[X]] : Algebra R A⟦X⟧ :=
  RingHom.toAlgebra <| Polynomial.coeToPowerSeries.ringHom.comp (algebraMap R A[X])

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