Theorems · Theorem · number theory
IsCyclotomicExtension.eq
∀ (S : Set ℕ) {A : Type u} {B : Type v} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] [IsDomain B]
(C₁ C₂ : Subalgebra A B) [h₁ : IsCyclotomicExtension S A ↥C₁] [h₂ : IsCyclotomicExtension S A ↥C₂], C₁ = C₂- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Set.ofPredproof · cited by 6,101
- 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
- IsCyclotomicExtension.exists_isPrimitiveRootproof · cited by 14
- IsPrimitiveRoot.coe_submonoidClass_iffproof · cited by 11
- isCyclotomicExtension_iff_eq_adjoinproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.isCyclotomicExtension_eqproof · cited by 2