Theorems · Theorem · group theory
AddChar.val_isUnit
∀ {A : Type u_1} {M : Type u_2} [inst : AddGroup A] [inst_1 : Monoid M] (φ : AddChar A M) (a : A), IsUnit (φ a)The values of an additive character on an additive group are units.
- Defined in
- Mathlib.Algebra.Group.AddChar
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, 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.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement · cited by 1,602
- AddCharstatement and proof · cited by 286
- Multiplicative.ofAddproof · cited by 237
- IsUnit.mapproof · cited by 104
- Group.isUnitproof · cited by 18
- AddChar.toMonoidHomproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- AddChar.starComp_eq_invproof · cited by 1
- AddChar.val_mem_rootsOfUnitystatement and proof · cited by 1