Theorems · Theorem · number theory
ZMod.not_isCyclic_units_eight
¬IsCyclic (ZMod 8)ˣ
- Defined in
- Mathlib.RingTheory.ZMod.UnitsCyclic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.card_eq_fintype_cardproof · cited by 200
- Monoid.exponentproof · cited by 128
- IsCyclicstatement · cited by 122
- Nat.totientproof · cited by 111
- ZMod.card_units_eq_totientproof · cited by 15
- Monoid.exponent_dvd_of_forall_pow_eq_oneproof · cited by 9
- IsCyclic.iff_exponent_eq_cardproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_two_pow_iffproof · cited by 2
- ZMod.isCyclic_units_four_mul_iffproof · cited by 1