From d0a6d8605e8a8b38a7e6cc9ea2312a2641015d8a Mon Sep 17 00:00:00 2001 From: leopoldmayer Date: Fri, 16 Jun 2023 09:54:07 -0700 Subject: [PATCH] golfed imports --- CommAlg/polynomial.lean | 11 ----------- 1 file changed, 11 deletions(-) diff --git a/CommAlg/polynomial.lean b/CommAlg/polynomial.lean index 8dd886a..e7380b0 100644 --- a/CommAlg/polynomial.lean +++ b/CommAlg/polynomial.lean @@ -1,13 +1,3 @@ -import Mathlib.RingTheory.Ideal.Operations -import Mathlib.RingTheory.FiniteType -import Mathlib.Order.Height -import Mathlib.RingTheory.Polynomial.Quotient -import Mathlib.RingTheory.PrincipalIdealDomain -import Mathlib.RingTheory.DedekindDomain.Basic -import Mathlib.RingTheory.Ideal.Quotient -import Mathlib.RingTheory.Localization.AtPrime -import Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic -import Mathlib.Order.ConditionallyCompleteLattice.Basic import CommAlg.krull section ChainLemma @@ -132,7 +122,6 @@ lemma ht_adjoin_x_eq_ht_add_one [Nontrivial R] (I : PrimeSpectrum R) : height I apply hl.2 exact hb -#check (⊤ : ℕ∞) /- dim R + 1 ≤ dim R[X] -/