Theorems · Theorem · complex analysis
IsPrimitiveRoot.arg
∀ {n : ℕ} {ζ : ℂ}, IsPrimitiveRoot ζ n → n ≠ 0 → ∃ i, ζ.arg = ↑i / ↑n * (2 * Real.pi) ∧ IsCoprime i ↑n ∧ i.natAbs < n- Defined in
- Mathlib.RingTheory.RootsOfUnity.Complex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites65
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- CommSemiringproof · cited by 10,911
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- mul_assocproof · cited by 1,667
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.