Theorems · Theorem · number theory
IsPrimitiveRoot.card_nthRootsFinset
∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R] {ζ : R} {n : ℕ},
IsPrimitiveRoot ζ n → (Polynomial.nthRootsFinset n 1).card = n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Finsetproof · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- IsDomainstatement and proof · cited by 2,196
- IsPrimitiveRootstatement and proof · cited by 356
- Polynomial.nthRootsFinsetstatement · cited by 23
- Multiset.toFinset_eqproof · cited by 6
- IsPrimitiveRoot.card_nthRoots_oneproof · cited by 3
- IsPrimitiveRoot.nthRoots_one_nodupproof · cited by 3
- Finset.card_mkproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.pow_sub_pow_eq_prod_sub_mulproof · cited by 1