Module

IsIntegrallyClosed_of_isIntegrallyClosedIn_of_faithfulSMul.lean

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

Is Integrally Closed of is Integrally Closed In of faithful SMul

Imports1
  • Mathlib.RingTheory.IntegralClosure.IntegrallyClosed
Imported by1

Declarations

IsIntegrallyClosed.of_isIntegrallyClosedIn_of_faithfulSMul
Source context 3 commands

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

section ProofImplementation
namespace AlgebraicCurves.Foundations.CommutativeAlgebra.Proofs
namespace IsIntegrallyClosed_of_isIntegrallyClosedIn_of_faithfulSMul
theorem _root_.IsIntegrallyClosed.of_isIntegrallyClosedIn_of_faithfulSMul
    (A F : Type*) [CommRing A] [IsDomain A] [Field F] [Algebra A F] [FaithfulSMul A F]
    [IsIntegrallyClosedIn A F] : IsIntegrallyClosed A