Theorems · Theorem · number theory
ZMod.isCyclic_units_two_mul_iff_of_odd
∀ (n : ℕ), Odd n → (IsCyclic (ZMod (2 * n))ˣ ↔ IsCyclic (ZMod n)ˣ)
- Defined in
- Mathlib.RingTheory.ZMod.UnitsCyclic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- ZModstatement and proof · cited by 1,024
- Nat.cardproof · cited by 844
- Oddstatement and proof · cited by 364
- Nat.card_eq_fintype_cardproof · cited by 200
- IsCyclicstatement and proof · cited by 122
- Fintype.card_uniqueproof · cited by 59
- MulEquiv.transproof · cited by 53
- RingEquiv.toMulEquivproof · cited by 26
- Units.mapEquivproof · cited by 16
- MulEquiv.prodUnitsproof · cited by 7
- ZMod.chineseRemainderproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_iffproof · cited by 0