From eb1e6118a05c375ee5d07150f9eedaede254e80c Mon Sep 17 00:00:00 2001 From: SinTan1729 Date: Thu, 15 Jun 2023 19:36:02 -0700 Subject: [PATCH] Some changes to dim_eq_dim_poly_add_one --- CommAlg/sayantan(poly_over_field).lean | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/CommAlg/sayantan(poly_over_field).lean b/CommAlg/sayantan(poly_over_field).lean index 5379c52..987fe93 100644 --- a/CommAlg/sayantan(poly_over_field).lean +++ b/CommAlg/sayantan(poly_over_field).lean @@ -16,7 +16,8 @@ lemma polynomial_over_field_dim_one {K : Type} [Nontrivial K] [Field K] : krullD -- unfold krullDim rw [le_antisymm_iff] constructor - · sorry + · + sorry · suffices : ∃I : PrimeSpectrum (Polynomial K), 1 ≤ (height I : WithBot ℕ∞) · obtain ⟨I, h⟩ := this have : (height I : WithBot ℕ∞) ≤ ⨆ (I : PrimeSpectrum (Polynomial K)), ↑(height I) := by