Theorems · Definition · field theory
FixedPoints.subfield
(M : Type u) → [inst : Monoid M] → (F : Type v) → [inst_1 : Field F] → [MulSemiringAction M F] → Subfield F
The subfield of fixed points by a monoid action.
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidFieldMulSemiringAction
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.
- Fieldstatement and proof · cited by 7,404
- Monoidstatement and proof · cited by 3,887
- iInfproof · cited by 1,690
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- MulAction.fixedPointsproof · cited by 41
- Subfield.copyproof · cited by 2
- FixedBy.subfieldproof · cited by 1
Cited by24
Results whose statement or proof uses this declaration.
- FixedPoints.intermediateFieldproof · cited by 18
- FixedPoints.minpolystatement and proof · cited by 9
- FixedPoints.minpoly.eval₂statement and proof · cited by 5
- FixedPoints.minpoly.monicstatement and proof · cited by 4
- FixedPoints.finrank_eq_cardstatement and proof · cited by 3
- IsFractionRing.stabilizerHom_surjectiveproof · cited by 2
- FixedPoints.rank_le_cardstatement and proof · cited by 1
- FixedPoints.smulstatement and proof · cited by 1
- FixedPoints.smul_polynomialstatement and proof · cited by 1
- FixedPoints.toAlgAut_bijectivestatement and proof · cited by 1
- FixedPoints.toAlgAut_surjectivestatement and proof · cited by 1
- FixedPoints.toAlgHomEquivstatement and proof · cited by 1