Theorems · Theorem · number theory
IsCyclotomicExtension.lcm_sup
∀ {A : Type u} {B : Type v} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] [IsDomain B] (n₁ n₂ : ℕ)
(C₁ C₂ : Subalgebra A B) [h₁ : IsCyclotomicExtension {n₁} A ↥C₁] [h₂ : IsCyclotomicExtension {n₂} A ↥C₂] [NeZero n₁]
[NeZero n₂], IsCyclotomicExtension {n₁.lcm n₂} A ↥(C₁ ⊔ C₂)- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapproof · cited by 4,706
- IsDomainstatement and proof · cited by 2,196
- Subalgebrastatement and proof · cited by 1,353
- Algebra.adjoinproof · cited by 535
- IsPrimitiveRootproof · cited by 356
- IsCyclotomicExtensionstatement and proof · cited by 220
- FaithfulSMul.algebraMap_injectiveproof · cited by 198
- sup_commproof · cited by 165
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.isCyclotomicExtension_lcm_supproof · cited by 2