Theorems · Theorem · number theory
IsCyclotomicExtension.isGalois
∀ (S : Set ℕ) (K : Type w) (L : Type z) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [IsCyclotomicExtension S K L], IsGalois K L
- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- Algebra.algebraMapproof · cited by 4,706
- AlgHomproof · cited by 3,236
- AlgEquivproof · cited by 1,681
- Subalgebraproof · cited by 1,353
- map_mulproof · cited by 1,137
- IntermediateFieldproof · cited by 988
- map_addproof · cited by 964
Cited by13
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.norm_pow_sub_one_of_prime_pow_ne_twoproof · cited by 4
- IsPrimitiveRoot.sub_one_norm_eq_eval_cyclotomicproof · cited by 3
- IsCyclotomicExtension.Rat.ncard_primesOver_of_prime_powproof · cited by 2
- IsCyclotomicExtension.Rat.discrproof · cited by 1
- IsCyclotomicExtension.Rat.map_eq_span_zeta_sub_one_powproof · cited by 1
- IsCyclotomicExtension.Rat.ramificationIdxIn_eq_of_prime_powproof · cited by 1
- IsCyclotomicExtension.isAbelianGaloisproof · cited by 1
- IsCyclotomicExtension.Rat.inertiaDegIn_eq_of_not_dvdproof · cited by 1
- IsCyclotomicExtension.Rat.ramificationIdxIn_eq_of_not_dvdproof · cited by 1
- IsCyclotomicExtension.Rat.inertiaDegIn_eq_of_prime_powproof · cited by 1
- IsCyclotomicExtension.Rat.galEquivZMod_stabilizerproof · cited by 0
- IsCyclotomicExtension.Rat.inertiaDeg_eqproof · cited by 0