Theorems · Theorem · number theory
IsPrimitiveRoot.orderOf
∀ {M : Type u_1} [inst : CommMonoid M] (ζ : M), IsPrimitiveRoot ζ (orderOf ζ)- Cited by
- 10 results in Mathlib
- Foundations
- Depth 32 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.
Cites5
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
- orderOfstatement · cited by 324
- pow_orderOf_eq_oneproof · cited by 30
- orderOf_dvd_of_pow_eq_oneproof · cited by 24
Cited by10
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.eq_orderOfproof · cited by 18
- IsPrimitiveRoot.pow_mul_pow_lcmproof · cited by 4
- IsPrimitiveRoot.pow_of_dvdproof · cited by 4
- IsPrimitiveRoot.neg_oneproof · cited by 3
- IsPrimitiveRoot.exists_posproof · cited by 2
- NumberField.Units.torsion_eq_one_or_neg_one_of_odd_finrankproof · cited by 1
- isPrimitiveRoot_of_mem_rootsOfUnityproof · cited by 1
- IsPrimitiveRoot.not_iffproof · cited by 1
- IsPrimitiveRoot.exists_neg_pow_of_isOfFinOrderproof · cited by 1
- IsPrimitiveRoot.existsUniqueproof · cited by 0