Theorems · Definition · field theory
FixedPoints.minpoly
(G : Type u) →
[inst : Group G] →
(F : Type v) →
[inst_1 : Field F] → [inst_2 : MulSemiringAction G F] → [Fintype G] → F → Polynomial ↥(FixedPoints.subfield G F)minpoly G F x is the minimal polynomial of (x : F) over FixedPoints.subfield G F.
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- Polynomialstatement · cited by 5,681
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- Subfield.toSubringproof · cited by 23
- FixedPoints.subfieldstatement and proof · cited by 20
- Polynomial.toSubringproof · cited by 15
- prodXSubSMulproof · cited by 7
Cited by9
Results whose statement or proof uses this declaration.
- FixedPoints.minpoly.eval₂statement and proof · cited by 5
- FixedPoints.minpoly.monicstatement · cited by 4
- FixedPoints.minpoly.irreduciblestatement · cited by 1
- FixedPoints.minpoly.irreducible_auxstatement and proof · cited by 1
- FixedPoints.minpoly.ne_onestatement and proof · cited by 1
- FixedPoints.minpoly.of_eval₂statement · cited by 1
- FixedPoints.minpoly_eq_minpolystatement · cited by 0
- FixedPoints.minpoly.eval₂'statement · cited by 0
- FixedPoints.isIntegralproof · cited by 0