changed type of 1 in dim_le_one_of_dimLEOne

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GTBarkley 2023-06-14 17:43:16 +00:00
parent 50ec280145
commit 7173aefe8d

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@ -197,7 +197,8 @@ height 𝔭 > (n : WithBot ℕ∞) ↔ ∃ c : List (PrimeSpectrum R), c.Chain'
/-- The converse of this is false, because the definition of "dimension ≤ 1" in mathlib
applies only to dimension zero rings and domains of dimension 1. -/
lemma dim_le_one_of_dimLEOne : Ring.DimensionLEOne R → krullDim R ≤ (1 : ) := by
lemma dim_le_one_of_dimLEOne : Ring.DimensionLEOne R → krullDim R ≤ 1 := by
show _ → ((_ : WithBot ℕ∞) ≤ (1 : ))
rw [krullDim_le_iff R 1]
intro H p
apply le_of_not_gt