Theorems · Definition · number theory
ZMod.unitOfCoprime
{n : ℕ} → (x : ℕ) → x.Coprime n → (ZMod n)ˣunitOfCoprime makes an element of (ZMod n)ˣ given
a natural number x and a proof that x is coprime to n
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement · cited by 2,804
- ZModstatement · cited by 1,024
- ZMod.coe_mul_inv_eq_oneproof · cited by 2
Cited by24
Results whose statement or proof uses this declaration.
- ZMod.isUnit_iff_coprimeproof · cited by 7
- ZMod.unitsMap_surjectiveproof · cited by 7
- Polynomial.natDegree_of_dvd_cyclotomic_of_irreduciblestatement and proof · cited by 3
- DihedralGroup.oddCommuteEquivproof · cited by 3
- ZMod.coe_unitOfCoprimestatement · cited by 3
- IsCyclotomicExtension.fromZetaAutproof · cited by 2
- ZMod.add_self_eq_zero_iff_eq_zeroproof · cited by 2
- ZMod.unitOfCoprime.congr_simpstatement and proof · cited by 2
- ZMod.unitsEquivCoprimeproof · cited by 1
- DirichletCharacter.factorsThrough_gcdproof · cited by 1
- rothNumberNat_le_ruzsaSzemerediNumberNatproof · cited by 1
- ArithmeticFunction.carmichael_two_pow_of_ne_twoproof · cited by 1