Theorems · Theorem · number theory
Polynomial.roots_of_cyclotomic
∀ (n : ℕ) (R : Type u_2) [inst : CommRing R] [inst_1 : IsDomain R], (Polynomial.cyclotomic' n R).roots = (primitiveRoots n R).val
The roots of cyclotomic' n R are the primitive n-th roots of unity.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialproof · cited by 5,681
- Multisetstatement · cited by 2,627
- IsDomainstatement and proof · cited by 2,196
- Finset.valstatement and proof · cited by 438
- Polynomial.rootsstatement and proof · cited by 264
- primitiveRootsstatement and proof · cited by 57
- Polynomial.cyclotomic'statement · cited by 20
- Polynomial.roots_prod_X_sub_Cproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.