Theorems · Theorem · number theory
IsPrimitiveRoot.isUnit
∀ {M : Type u_1} [inst : CommMonoid M] {k : ℕ} {ζ : M}, IsPrimitiveRoot ζ k → k ≠ 0 → IsUnit ζ- Cited by
- 22 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- 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
- IsUnitstatement · cited by 1,602
- IsPrimitiveRootstatement and proof · cited by 356
- pow_succ'proof · cited by 228
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
- IsUnit.of_mul_eq_oneproof · cited by 43
Cited by22
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.eq_pow_of_pow_eq_oneproof · cited by 17
- IsPrimitiveRoot.pow_of_coprimeproof · cited by 8
- HasEnoughRootsOfUnity.natCard_rootsOfUnityproof · cited by 5
- IsPrimitiveRoot.isUnit_unitstatement · cited by 4
- IsPrimitiveRoot.pow_injproof · cited by 4
- IsPrimitiveRoot.card_rootsOfUnityproof · cited by 3
- modularCyclotomicCharacter.pow_dvd_aux_pow_sub_aux_powproof · cited by 2
- IsCyclotomicExtension.Rat.Three.Units.memstatement and proof · cited by 1
- MulChar.exists_mulChar_orderOfproof · cited by 1
- IsCyclotomicExtension.Rat.Three.cube_sub_one_eq_mulstatement and proof · cited by 1
- IsCyclotomicExtension.Rat.Three.eta_sqstatement and proof · cited by 1