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Merge branch 'main' of github.com:GTBarkley/comm_alg into main
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.gitignore
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/build
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CommAlg/sameer(artinian-rings).lean
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CommAlg/sameer(artinian-rings).lean
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import Mathlib.RingTheory.Ideal.Basic
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import Mathlib.RingTheory.Noetherian
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import Mathlib.RingTheory.Artinian
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import Mathlib.RingTheory.Ideal.Quotient
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import Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic
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lemma quotientRing_is_Artinian (R : Type _) [CommRing R] (I : Ideal R) (IsArt : IsArtinianRing R):
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IsArtinianRing (R⧸I) := by sorry
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#check Ideal.IsPrime
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lemma IsPrimeMaximal (R : Type _) [CommRing R] (I : Ideal R) (IsArt : IsArtinianRing R) (isPrime : Ideal.IsPrime I) : Ideal.IsMaximal I := by sorry
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-- Use Stacks project proof since it's broken into lemmas
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