instAtPrimeFractionRing — Mathlib

English

There is an instance giving IsFractionRing (Localization.AtPrime p) (FractionRing R) for a prime p of R.

Русский

Существует экземпляр IsFractionRing для Localization.AtPrime p и FractionRing R.

LaTeX

$$IsFractionRing (Localization.AtPrime p) (FractionRing R)$$

Lean4

instance {R : Type*} [CommRing R] [IsDomain R] (p : Ideal R) [p.IsPrime] :
    IsFractionRing (Localization.AtPrime p) (FractionRing R) :=
  IsFractionRing.isFractionRing_of_isDomain_of_isLocalization p.primeCompl (Localization.AtPrime p) (FractionRing R)

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