Module

isRegularLocalRing_localization_atPrime_of_isStandardSmooth.lean

Nyll.AlgebraicCurves.Foundations.CommutativeAlgebra.isRegularLocalRing_localization_atPrime_of_isStandardSmooth
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is Regular Local Ring localization at Prime of is Standard Smooth

Declarations

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Surrounding namespaces, section variables, and local commands at this declaration.

section ProofImplementation
namespace AlgebraicCurves.Foundations.CommutativeAlgebra.Proofs
namespace isRegularLocalRing_localization_atPrime_of_isStandardSmooth
theorem _root_.isRegularLocalRing_localization_atPrime_of_isStandardSmooth
    (k B : Type*) [Field k] [CommRing B] [Algebra k B]
    [Algebra.IsStandardSmooth k B] (q : Ideal B) [q.IsPrime] :
    IsRegularLocalRing (Localization.AtPrime q)