Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.intermediateFieldEquivSubgroupChar.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)] [inst_5 : IsAbelianGalois ℚ K],
IsCyclotomicExtension.Rat.intermediateFieldEquivSubgroupChar n K R =
IsCyclotomicExtension.Rat.intermediateFieldEquivSubgroupChar n K R- Cited by
- 0 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- ZModstatement and proof · cited by 1,024
- IntermediateFieldstatement · cited by 988
- OrderIsostatement · cited by 874
- NumberFieldstatement and proof · cited by 653
- IsCyclotomicExtensionstatement and proof · cited by 220
- DirichletCharacterstatement · cited by 161
- Monoid.exponentstatement and proof · cited by 128
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