Theorems · Theorem · field theory
FixedPoints.minpoly.monic
∀ (G : Type u) [inst : Group G] (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction G F] [inst_3 : Fintype G] (x : F), (FixedPoints.minpoly G F x).Monic
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Polynomial.Monicstatement · cited by 461
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- Subfield.toSubringproof · cited by 23
- FixedPoints.subfieldstatement and proof · cited by 20
- FixedPoints.minpolystatement · cited by 9
- prodXSubSMulproof · cited by 7
- Polynomial.monic_toSubringproof · cited by 3
- prodXSubSMul.monicproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- FixedPoints.minpoly.irreducibleproof · cited by 1
- FixedPoints.minpoly.irreducible_auxproof · cited by 1
- FixedPoints.isIntegralproof · cited by 0
- FixedPoints.minpoly_eq_minpolyproof · cited by 0