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Sayantan Santra 2023-06-17 20:04:04 -05:00
parent 9f0ed8cee3
commit 4f2005ca08
Signed by: SinTan1729
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CommAlg/krull.lean
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@ -386,7 +386,6 @@ lemma polynomial_over_field_dim_one {K : Type} [Nontrivial K] [Field K] : krullD
· unfold krullDim
apply @iSup_le (WithBot ℕ∞) _ _ _ _
intro I
have PIR : IsPrincipalIdealRing (Polynomial K) := by infer_instance
by_cases I = ⊥
· rw [← height_zero_iff_bot] at h
simp only [WithBot.coe_le_one, ge_iff_le]