Theorems · Theorem · number theory
NumberField.Units.dvd_torsionOrder_of_isPrimitiveRoot
∀ {n : ℕ} {K : Type u} [inst : Field K] [NeZero n] {ζ : K}, IsPrimitiveRoot ζ n → n ∣ NumberField.Units.torsionOrder K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- Nat.cardproof · cited by 844
- NumberField.RingOfIntegersproof · cited by 413
- IsPrimitiveRootstatement and proof · cited by 356
- orderOfproof · cited by 324
- IsUnit.unitproof · cited by 252
- NeZero.posproof · cited by 57
- NumberField.Units.torsionproof · cited by 53
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
- IsPrimitiveRoot.isUnitproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.torsionOrder_eqproof · cited by 0