Theorems · Theorem · number theory
IsPrimitiveRoot.exists_pos
∀ {M : Type u_1} [inst : CommMonoid M] {ζ : M} {k : ℕ}, ζ ^ k = 1 → k ≠ 0 → ∃ k' > 0, IsPrimitiveRoot ζ k'- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- IsPrimitiveRootstatement · cited by 356
- orderOfproof · cited by 324
- isOfFinOrder_iff_pow_eq_oneproof · cited by 27
- IsPrimitiveRoot.orderOfproof · cited by 10
- orderOf_pos_iffproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.isPrimitiveRoot_of_mahlerMeasure_eq_oneproof · cited by 1
- AlgHom.IsArithFrobAt.apply_of_pow_eq_oneproof · cited by 0