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Merge pull request #26 from ssavkar1/main

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Defined 2 new lemmas
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ssavkar1 2023-06-12 13:36:51 -07:00 committed by GitHub
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comm_alg/sameer(artinian-rings).lean Normal file
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import Mathlib.RingTheory.Ideal.Basic
import Mathlib.RingTheory.Noetherian
import Mathlib.RingTheory.Artinian
import Mathlib.RingTheory.Ideal.Quotient
import Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic
lemma quotientRing_is_Artinian (R : Type _) [CommRing R] (I : Ideal R) (IsArt : IsArtinianRing R):
IsArtinianRing (R⧸I) := by sorry
#check Ideal.IsPrime
lemma IsPrimeMaximal (R : Type _) [CommRing R] (I : Ideal R) (IsArt : IsArtinianRing R) (isPrime : Ideal.IsPrime I) : Ideal.IsMaximal I := by sorry
-- Use Stacks project proof since it's broken into lemmas