Theorems · Inductive type · field theory
IsAbelianGalois
(K : Type u_4) → (L : Type u_5) → [inst : Field K] → [inst_1 : Field L] → [Algebra K L] → Prop
The class of abelian extensions, defined as galois extensions whose galois group is commutative.
- Defined in
- Mathlib.FieldTheory.Galois.Abelian
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by13
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.intermediateFieldEquivSubgroupCharstatement and proof · cited by 4
- IsAbelianGalois.tower_botstatement and proof · cited by 1
- IsCyclotomicExtension.isAbelianGaloisstatement · cited by 1
- IsCyclotomicExtension.Rat.card_intermediateFieldEquivSubgroupCharstatement and proof · cited by 0
- IsAbelianGalois.casesOnstatement and proof · cited by 0
- IsAbelianGalois.of_algHomstatement and proof · cited by 0
- IsAbelianGalois.of_isCyclicstatement · cited by 0
- IsAbelianGalois.recOnstatement and proof · cited by 0
- IsAbelianGalois.tower_topstatement and proof · cited by 0
- IsCyclotomicExtension.Rat.isCMFieldproof · cited by 0
- IsCyclotomicExtension.Rat.intermediateFieldEquivSubgroupChar.congr_simpstatement and proof · cited by 0
- IsCyclotomicExtension.Rat.mem_intermediateFieldEquivSubgroupChar_iffstatement and proof · cited by 0