Theorems · Theorem · ring theory

IsNoetherian.coeSort_finsetBasisIndex

∀ (K : Type u) (V : Type v) [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  [inst_3 : IsNoetherian K V], ↥(IsNoetherian.finsetBasisIndex K V) = ↑(Module.Basis.ofVectorSpaceIndex K V)

Defined in: Mathlib.FieldTheory.Finiteness
Cited by: 0 results in Mathlib
Foundations: Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DivisionRing AddCommGroup Module IsNoetherian

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Modulestatement and proof · cited by 20,661
Finsetstatement · cited by 13,712
AddCommGroupstatement and proof · cited by 12,871
Set.Elemstatement · cited by 7,166
DivisionRingstatement and proof · cited by 1,062
IsNoetherianstatement and proof · cited by 208
Module.Basis.ofVectorSpaceIndexstatement · cited by 29
IsNoetherian.finsetBasisIndexstatement · cited by 7
Set.Finite.coeSort_toFinsetproof · cited by 1

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