Theorems · Theorem · field theory
Field.fg_iff
∀ (L : Type v) [inst : DivisionRing L], Field.FG L ↔ ∃ S, Subfield.closure ↑S = ⊤
- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Top.topstatement and proof · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- DivisionRingstatement and proof · cited by 1,062
- Subfieldstatement · cited by 303
- Subfield.closurestatement and proof · cited by 39
- Field.FGstatement and proof · cited by 4
- Field.FG.casesOnproof · cited by 1
Cited by0
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