Theorems · Theorem · ring theory
IsNoetherian.range_finsetBasis
∀ (K : Type u) (V : Type v) [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] [inst_3 : IsNoetherian K V], Set.range ⇑(IsNoetherian.finsetBasis K V) = Module.Basis.ofVectorSpaceIndex K V
- Defined in
- Mathlib.FieldTheory.Finiteness
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Finsetstatement · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- Set.Elemproof · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Module.Basisstatement and proof · cited by 1,477
- DivisionRingstatement and proof · cited by 1,062
- Equiv.reflproof · cited by 274
- IsNoetherianstatement and proof · cited by 208
- Module.Basis.ofVectorSpaceproof · cited by 30
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