Theorems · Definition · number theory
AddChar.primitiveZModChar
(n : ℕ+) → (F' : Type v) → [inst : Field F'] → ↑↑n ≠ 0 → AddChar.PrimitiveAddChar (ZMod ↑n) F'
There is a primitive additive character on ZMod n if the characteristic of the target
does not divide n
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- ZModstatement · cited by 1,024
- PNatstatement and proof · cited by 392
- PNat.valstatement and proof · cited by 226
- AddChar.PrimitiveAddCharstatement · cited by 7
- AddChar.zmodCharproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AddChar.FiniteField.primitiveCharproof · cited by 3
- FiniteField.two_pow_cardproof · cited by 1