From a1888c51e6da1b9bc49a00000f2cd2a2a6554319 Mon Sep 17 00:00:00 2001 From: Andre Date: Wed, 14 Jun 2023 15:07:21 -0400 Subject: [PATCH] removed imports --- CommAlg/monalisa.lean | 22 ---------------------- 1 file changed, 22 deletions(-) diff --git a/CommAlg/monalisa.lean b/CommAlg/monalisa.lean index e815cb2..717e95a 100644 --- a/CommAlg/monalisa.lean +++ b/CommAlg/monalisa.lean @@ -1,31 +1,9 @@ import Mathlib.Order.KrullDimension import Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic -import Mathlib.RingTheory.Ideal.Operations -import Mathlib.LinearAlgebra.Finsupp -import Mathlib.RingTheory.GradedAlgebra.Basic -import Mathlib.RingTheory.GradedAlgebra.HomogeneousIdeal import Mathlib.Algebra.Module.GradedModule import Mathlib.RingTheory.Ideal.AssociatedPrime -import Mathlib.RingTheory.Noetherian import Mathlib.RingTheory.Artinian -import Mathlib.RingTheory.FiniteType import Mathlib.Order.Height -import Mathlib.RingTheory.PrincipalIdealDomain -import Mathlib.RingTheory.DedekindDomain.Basic -import Mathlib.RingTheory.Ideal.Quotient -import Mathlib.RingTheory.Localization.AtPrime -import Mathlib.Order.ConditionallyCompleteLattice.Basic -import Mathlib.Algebra.DirectSum.Ring -import Mathlib.RingTheory.Ideal.LocalRing ---import Mathlib -import Mathlib.Algebra.MonoidAlgebra.Basic -import Mathlib.Data.Finset.Sort -import Mathlib.Order.JordanHolder -import Mathlib.RingTheory.Ideal.Basic -import Mathlib.RingTheory.Finiteness - - - noncomputable def length ( A : Type _) (M : Type _) [CommRing A] [AddCommGroup M] [Module A M] := Set.chainHeight {M' : Submodule A M | M' < ⊤}