Theorems · Theorem · field theory
FixedPoints.toAlgAut_surjective
∀ (G : Type u_2) (F : Type u_3) [inst : Group G] [inst_1 : Field F] [inst_2 : MulSemiringAction G F] [Finite G], Function.Surjective ⇑(MulSemiringAction.toAlgAut G (↥(FixedPoints.subfield G F)) F)
MulSemiringAction.toAlgAut is surjective.
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement and proof · cited by 3,629
- Finitestatement and proof · cited by 3,029
- HasQuotient.Quotientproof · cited by 2,301
- AlgEquivstatement and proof · cited by 1,681
- map_mulproof · cited by 1,137
- MulSemiringActionstatement and proof · cited by 423
- FaithfulSMulproof · cited by 340
- Subfieldstatement · cited by 303
Cited by1
Results whose statement or proof uses this declaration.
- IsFractionRing.stabilizerHom_surjectiveproof · cited by 2