Theorems · Theorem · number theory
IsPrimitiveRoot.pow_ne_one_of_pos_of_lt
∀ {M : Type u_1} [inst : CommMonoid M] {k l : ℕ} {ζ : M}, IsPrimitiveRoot ζ k → l ≠ 0 → l < k → ζ ^ l ≠ 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 21 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
- not_le_of_gtproof · cited by 97
- IsPrimitiveRoot.dvd_of_pow_eq_oneproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.ne_oneproof · cited by 7
- IsPrimitiveRoot.neZero'proof · cited by 1
- IsPrimitiveRoot.zeta_sub_one_prime_of_ne_twoproof · cited by 1
- IsPrimitiveRoot.zeta_sub_one_prime_of_two_powproof · cited by 1