Theorems · Theorem · number theory
isPrimitiveRoot_of_mem_primitiveRoots
∀ {R : Type u_4} {k : ℕ} [inst : CommRing R] [inst_1 : IsDomain R] {ζ : R}, ζ ∈ primitiveRoots k R → IsPrimitiveRoot ζ k- Cited by
- 3 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.
Cites8
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
- IsPrimitiveRootstatement · cited by 356
- primitiveRootsstatement and proof · cited by 57
- mem_primitiveRootsproof · cited by 18
- primitiveRoots_zeroproof · cited by 5
- primitiveRoots.congr_simpproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.associated_zeta_sub_one_pow_primeproof · cited by 1
- IsPrimitiveRoot.disjointproof · cited by 1
- Polynomial.cyclotomic_mahlerMeasure_eq_oneproof · cited by 0