Theorems · Theorem · field theory
FixedPoints.minpoly.irreducible
∀ (G : Type u) [inst : Group G] (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction G F] [inst_3 : Fintype G] (x : F), Irreducible (FixedPoints.minpoly G F x)
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Irreduciblestatement · cited by 496
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- FixedPoints.subfieldstatement · cited by 20
- FixedPoints.minpolystatement · cited by 9
- FixedPoints.minpoly.monicproof · cited by 4
- Polynomial.irreducible_of_monicproof · cited by 3
- FixedPoints.minpoly.irreducible_auxproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- FixedPoints.minpoly_eq_minpolyproof · cited by 0