Theorems · Theorem · number theory
IsPrimitiveRoot.neg_one
∀ {R : Type u_4} [inst : CommRing R] (p : ℕ) [Nontrivial R] [h : CharP R p], p ≠ 2 → IsPrimitiveRoot (-1) 2- Cited by
- 3 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivialCharP
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Nontrivialstatement and proof · cited by 2,416
- CommMonoidproof · cited by 2,264
- CharPstatement and proof · cited by 478
- IsPrimitiveRootstatement and proof · cited by 356
- orderOfproof · cited by 324
- IsPrimitiveRoot.orderOfproof · cited by 10
- ringChar.eq_iffproof · cited by 6
- orderOf_neg_oneproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.arg_eq_pi_iffproof · cited by 1
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1
- Polynomial.cyclotomic'_twoproof · cited by 0