Theorems · Definition · group theory
ZMod.AddAutEquivUnits
(n : ℕ) → AddAut (ZMod n) ≃+ Additive (ZMod n)ˣ
The automorphism group of ZMod n is isomorphic to the group of units of ZMod n.
- Defined in
- Mathlib.Data.ZMod.Aut
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 60 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.
- DFunLike.coeproof · cited by 62,936
- Unitsstatement and proof · cited by 2,804
- AddEquivstatement · cited by 1,087
- ZModstatement and proof · cited by 1,024
- Additivestatement and proof · cited by 356
- Additive.ofMulproof · cited by 155
- Additive.toMulproof · cited by 109
- AddAutstatement and proof · cited by 75
- Units.mkOfMulEqOneproof · cited by 15
- AddAut.mulLeftproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- IsCyclic.mulAutMulEquivproof · cited by 6
- IsCyclic.mulAutMulEquiv_symm_apply_symm_applystatement · cited by 0
- ZMod.AddAutEquivUnits_applystatement and proof · cited by 0
- ZMod.AddAutEquivUnits_symm_applystatement and proof · cited by 0
- IsCyclic.mulAutMulEquiv_symm_apply_applystatement · cited by 0