Theorems · Theorem · number theory
IsPrimitiveRoot.unique
∀ {M : Type u_1} [inst : CommMonoid M] {k l : ℕ} {ζ : M}, IsPrimitiveRoot ζ k → IsPrimitiveRoot ζ l → k = l- Cited by
- 8 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 and proof · cited by 356
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
- IsPrimitiveRoot.dvd_of_pow_eq_oneproof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.eq_orderOfproof · cited by 18
- Polynomial.sub_one_pow_totient_lt_cyclotomic_evalproof · cited by 2
- IsPrimitiveRoot.ne_zeroproof · cited by 2
- IsPrimitiveRoot.not_iffproof · cited by 1
- IsPrimitiveRoot.disjointproof · cited by 1
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1
- IsCyclotomicExtension.subsingleton_iffproof · cited by 0
- IsPrimitiveRoot.existsUniqueproof · cited by 0