Theorems · Theorem · number theory
AddChar.IsPrimitive.zmod_char_eq_one_iff
∀ {C : Type v} [inst : CommMonoid C] (n : ℕ) [NeZero n] {ψ : AddChar (ZMod n) C},
ψ.IsPrimitive → ∀ (a : ZMod n), ψ a = 1 ↔ a = 0A primitive additive character on ZMod n takes the value 1 only at 0.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidNeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- mul_oneproof · cited by 3,885
- CommMonoidstatement and proof · cited by 2,264
- ZModstatement and proof · cited by 1,024
- AddCharstatement and proof · cited by 286
- not_imp_commproof · cited by 56
- AddChar.mulShiftproof · cited by 26
- AddChar.IsPrimitivestatement and proof · cited by 22
- AddChar.map_zero_eq_oneproof · cited by 17
- AddChar.mulShift_applyproof · cited by 9
- AddChar.zmod_char_ne_one_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- FiniteField.two_pow_cardproof · cited by 1