Theorems · Theorem · number theory
ZMod.isCyclic_units_four_mul_iff
∀ (n : ℕ), IsCyclic (ZMod (4 * n))ˣ ↔ n = 0 ∨ n = 1
- 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.
Cites26
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
- mul_assocproof · cited by 1,667
- eq_or_neproof · cited by 1,117
- ZModstatement and proof · cited by 1,024
- Nat.cardproof · cited by 844
- Oddproof · cited by 364
- Nat.card_eq_fintype_cardproof · cited by 200
- IsCyclicstatement and proof · cited by 122
- emproof · cited by 115
- Nat.totientproof · cited by 111
- dvd_mul_rightproof · cited by 89
- Nat.prime_twoproof · cited by 55
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_iffproof · cited by 0