Theorems · Definition · field theory
FixedBy.subfield
{M : Type u} → [inst : Monoid M] → (F : Type v) → [inst_1 : Field F] → [MulSemiringAction M F] → M → Subfield FThe subfield of F fixed by the field endomorphism m.
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 47 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.
Cites5
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
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- MulAction.fixedByproof · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- FixedPoints.subfieldproof · cited by 20
- FixedBy.intermediateFieldproof · cited by 2
- FixedBy.subfield_mem_iffstatement · cited by 0