Theorems · Theorem · number theory
IsPrimitiveRoot.nthRoots_nodup
∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R] {ζ : R} {n : ℕ},
IsPrimitiveRoot ζ n → ∀ {a : R}, a ≠ 0 → (Polynomial.nthRoots n a).Nodup- Cited by
- 1 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Multisetproof · cited by 2,627
- IsDomainstatement and proof · cited by 2,196
- LT.lt.ne'proof · cited by 1,417
- zero_powproof · cited by 361
- IsPrimitiveRootstatement and proof · cited by 356
- Multiset.Nodupstatement and proof · cited by 148
- Polynomial.nthRootsstatement and proof · cited by 19
- Polynomial.mem_nthRootsproof · cited by 9
- Multiset.nodup_map_iff_inj_onproof · cited by 5
- Polynomial.nthRoots_zeroproof · cited by 5
- Multiset.nodup_rangeproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.nthRoots_one_nodupproof · cited by 3