Theorems · Theorem · number theory
ZMod.isCyclic_units_iff_of_odd
∀ {n : ℕ}, Odd n → (IsCyclic (ZMod n)ˣ ↔ ∃ p m, Nat.Prime p ∧ Odd p ∧ n = p ^ m)- Defined in
- Mathlib.RingTheory.ZMod.UnitsCyclic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- Nat.Primestatement and proof · cited by 2,059
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- ZModstatement and proof · cited by 1,024
- Oddstatement and proof · cited by 364
- Nat.factorizationproof · cited by 215
- IsCyclicstatement and proof · cited by 122
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_iffproof · cited by 0