Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.subgroupGalEquivSubgroupChar.congr_simp
∀ (n : ℕ) [inst : NeZero n] (K : Type u_1) [inst_1 : Field K] [inst_2 : NumberField K]
[hK : IsCyclotomicExtension {n} ℚ K] (R : Type u_2) [inst_3 : CommRing R]
[inst_4 : HasEnoughRootsOfUnity R (Monoid.exponent (ZMod n)ˣ)],
IsCyclotomicExtension.Rat.subgroupGalEquivSubgroupChar n K R =
IsCyclotomicExtension.Rat.subgroupGalEquivSubgroupChar n K R- Cited by
- 0 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- AlgEquivstatement · cited by 1,681
- ZModstatement and proof · cited by 1,024
- OrderDualstatement · cited by 927
- OrderIsostatement · cited by 874
- NumberFieldstatement and proof · cited by 653
- IsCyclotomicExtensionstatement and proof · cited by 220
- DirichletCharacterstatement · cited by 161
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.