IsNoetherian.finsetBasisIndex

(K : Type u) →
  (V : Type v) →
    [inst : DivisionRing K] → [inst_1 : AddCommGroup V] → [inst_2 : Module K V] → [IsNoetherian K V] → Finset V

In a Noetherian module over a division ring, there exists a finite basis. This is the indexing Finset.

Defined in: Mathlib.FieldTheory.Finiteness
Cited by: 7 results in Mathlib
Foundations: Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DivisionRing AddCommGroup Module IsNoetherian

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