Theorems · Definition · number theory
primitiveRoots
ℕ → (R : Type u_7) → [inst : CommRing R] → [IsDomain R] → Finset R
primitiveRoots k R is the finset of primitive k-th roots of unity
in the integral domain R.
- Cited by
- 57 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Finsetstatement · cited by 13,712
- IsDomainstatement and proof · cited by 2,196
- Finset.filterproof · cited by 949
- IsPrimitiveRootproof · cited by 356
- Multiset.toFinsetproof · cited by 230
- Polynomial.nthRootsproof · cited by 19
Cited by66
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic'proof · cited by 20
- mem_primitiveRootsstatement · cited by 18
- adjoinRootXPowSubCEquivstatement and proof · cited by 5
- rootsOfUnityEquivOfPrimitiveRootsstatement and proof · cited by 5
- Polynomial.cyclotomic_eq_prod_X_sub_primitiveRootsstatement · cited by 5
- primitiveRoots_zerostatement · cited by 5
- autAdjoinRootXPowSubCEquivstatement and proof · cited by 4
- autEquivRootsOfUnitystatement and proof · cited by 4
- IsPrimitiveRoot.card_primitiveRootsstatement and proof · cited by 4
- IsPrimitiveRoot.isRoot_cyclotomicproof · cited by 4
- primitiveRoots.congr_simpstatement and proof · cited by 4
- IsPrimitiveRoot.sub_one_norm_eq_eval_cyclotomicproof · cited by 3