aleph0_le_rank_of_isEmpty_oreSet

∀ {R : Type u_1} [inst : Ring R] [IsDomain R],
  IsEmpty (OreLocalization.OreSet (nonZeroDivisors R)) → Cardinal.aleph0 ≤ Module.rank R R

A domain that is not (left) Ore is of infinite rank. See [cohn_1995] Proposition 1.3.6

Defined in: Mathlib.LinearAlgebra.Dimension.Localization
Cited by: 1 results in Mathlib
Foundations: Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring IsDomain

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