Theorems · Theorem · number theory
IsPrimitiveRoot.ne_zero
∀ {k : ℕ} {M₀ : Type u_7} [inst : CommMonoidWithZero M₀] [Nontrivial M₀] {ζ : M₀}, IsPrimitiveRoot ζ k → k ≠ 0 → ζ ≠ 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
- Assumes
- CommMonoidWithZeroNontrivial
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.
- Nontrivialstatement and proof · cited by 2,416
- CommMonoidWithZerostatement and proof · cited by 913
- IsPrimitiveRootstatement and proof · cited by 356
- IsPrimitiveRoot.uniqueproof · cited by 8
- IsPrimitiveRoot.zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.sub_one_pow_totient_lt_cyclotomic_evalproof · cited by 2
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1