Theorems · Theorem · group theory
AddChar.map_zsmul_eq_zpow
∀ {A : Type u_1} {M : Type u_2} [inst : AddGroup A] [inst_1 : DivisionMonoid M] (ψ : AddChar A M) (n : ℤ) (a : A),
ψ (n • a) = ψ a ^ nAn additive character maps integer scalar multiples to integer powers.
- Defined in
- Mathlib.Algebra.Group.AddChar
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses Quot.sound
- Assumes
- AddGroupDivisionMonoid
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddCharstatement and proof · cited by 286
- DivisionMonoidstatement and proof · cited by 201
- MonoidHom.map_zpowproof · cited by 10
- AddChar.toMonoidHomproof · cited by 7
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