Theorems · Theorem · number theory
ZMod.isUnit_iff_coprime
∀ (m n : ℕ), IsUnit ↑m ↔ m.Coprime n
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- ZModstatement and proof · cited by 1,024
- IsUnit.unitproof · cited by 252
- ZMod.valproof · cited by 159
- Units.isUnitproof · cited by 116
- IsUnit.unit_specproof · cited by 25
- ZMod.unitOfCoprimeproof · cited by 20
- ZMod.val_natCastproof · cited by 18
- ZMod.val_coe_unit_coprimeproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- ZMod.isUnit_prime_iff_not_dvdproof · cited by 3
- ZMod.isCyclic_units_of_prime_powproof · cited by 2
- DirichletCharacter.factorsThrough_gcdproof · cited by 1
- ZMod.eq_one_or_isUnit_sub_oneproof · cited by 1
- ZMod.eq_unit_mul_divisorproof · cited by 1
- ZMod.not_isUnit_of_mem_primeFactorsproof · cited by 0
- ZMod.isUnit_natCast_iff_not_dvd_powproof · cited by 0