Module

Algebra_Smooth_isIntegrallyClosed_of_isDomain.lean

Nyll.AlgebraicCurves.Foundations.CommutativeAlgebra.Algebra_Smooth_isIntegrallyClosed_of_isDomain
1 declaration indexed from sourceView source ↗

Algebra Smooth is Integrally Closed of is Domain

Declarations

Algebra.Smooth.isIntegrallyClosed_of_isDomain
Source context 4 commands

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

section ProofImplementation
namespace AlgebraicCurves.Foundations.CommutativeAlgebra.Proofs
namespace Algebra_Smooth_isIntegrallyClosed_of_isDomain
universe u
theorem _root_.Algebra.Smooth.isIntegrallyClosed_of_isDomain (R : Type u) [CommRing R] [IsDomain R]
  [IsIntegrallyClosed R]
    (S : Type u) [CommRing S] [IsDomain S] [Algebra R S] [Algebra.Smooth R S] : IsIntegrallyClosed
      S