Theorems · Theorem · number theory
IsPrimitiveRoot.eq_neg_one_of_two_right
∀ {R : Type u_4} [inst : CommRing R] [NoZeroDivisors R] {ζ : R}, IsPrimitiveRoot ζ 2 → ζ = -1- Cited by
- 5 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
- Assumes
- CommRingNoZeroDivisors
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- NoZeroDivisorsstatement and proof · cited by 545
- IsPrimitiveRootstatement and proof · cited by 356
- one_lt_twoproof · cited by 67
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
- sq_eq_one_iffproof · cited by 14
- IsPrimitiveRoot.ne_oneproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.discr_prime_powproof · cited by 3
- IsPrimitiveRoot.norm_pow_sub_one_twoproof · cited by 3
- IsPrimitiveRoot.toInteger_sub_one_dvd_primeproof · cited by 1
- IsPrimitiveRoot.norm_eq_neg_one_powproof · cited by 1
- Polynomial.cyclotomic'_twoproof · cited by 0