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golfed imports
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import Mathlib.RingTheory.Ideal.Operations
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import Mathlib.RingTheory.FiniteType
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import Mathlib.Order.Height
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import Mathlib.RingTheory.Polynomial.Quotient
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import Mathlib.RingTheory.PrincipalIdealDomain
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import Mathlib.RingTheory.DedekindDomain.Basic
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import Mathlib.RingTheory.Ideal.Quotient
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import Mathlib.RingTheory.Localization.AtPrime
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import Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic
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import Mathlib.Order.ConditionallyCompleteLattice.Basic
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import CommAlg.krull
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import CommAlg.krull
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section ChainLemma
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section ChainLemma
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@ -132,7 +122,6 @@ lemma ht_adjoin_x_eq_ht_add_one [Nontrivial R] (I : PrimeSpectrum R) : height I
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apply hl.2
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apply hl.2
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exact hb
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exact hb
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#check (⊤ : ℕ∞)
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/-
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/-
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dim R + 1 ≤ dim R[X]
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dim R + 1 ≤ dim R[X]
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-/
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-/
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