Theorems · Theorem · number theory
IsCyclotomicExtension.finite_of_singleton
∀ (n : ℕ) [NeZero n] (A : Type u) (B : Type v) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B]
[IsDomain B] [h : IsCyclotomicExtension {n} A B], Module.Finite A B- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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
- SetLike.coeproof · cited by 8,199
- Submoduleproof · cited by 7,192
- Set.ofPredproof · cited by 6,101
- Algebra.algebraMapproof · cited by 4,706
- Set.extproof · cited by 2,266
- IsDomainstatement and proof · cited by 2,196
- Set.Finiteproof · cited by 1,814
- Polynomial.Xproof · cited by 1,639
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.isCyclotomicExtension_lcm_supproof · cited by 2
- IsCyclotomicExtension.finiteproof · cited by 1