Theorems · Inductive type · field theory
Field.FG
(L : Type v) → [DivisionRing L] → Prop
A field is finitely generated if it is the closure of a finite subset.
- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement · cited by 1,062
Cited by6
Results whose statement or proof uses this declaration.
- Field.fg_iff_fg_top_botstatement · cited by 1
- Field.FG.casesOnstatement and proof · cited by 1
- Field.fg_iffstatement and proof · cited by 0
- Field.fg_iff_essFiniteTypestatement · cited by 0
- Field.FG.finitely_generatedstatement and proof · cited by 0
- Field.FG.recOnstatement and proof · cited by 0