Theorems · Definition · number theory
MulChar.IsQuadratic
{R : Type u_1} → [inst : CommMonoid R] → {R' : Type u_2} → [inst_1 : CommRing R'] → MulChar R R' → PropA multiplicative character is quadratic if it takes only the values 0, 1, -1.
- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- CommMonoidstatement and proof · cited by 2,264
- MulCharstatement and proof · cited by 186
Cited by18
Results whose statement or proof uses this declaration.
- MulChar.IsQuadratic.compstatement and proof · cited by 3
- quadraticChar_isQuadraticstatement · cited by 3
- Char.card_pow_char_powstatement and proof · cited by 2
- MulChar.IsQuadratic.eq_of_eq_coestatement and proof · cited by 2
- MulChar.IsQuadratic.invstatement and proof · cited by 2
- MulChar.IsQuadratic.pow_charstatement and proof · cited by 2
- MulChar.IsQuadratic.sq_eq_onestatement and proof · cited by 2
- ZMod.isQuadratic_χ₈statement · cited by 2
- Char.card_pow_cardstatement and proof · cited by 1
- FiniteField.two_pow_cardproof · cited by 1
- MulChar.IsQuadratic.gaussSum_frobstatement and proof · cited by 1
- MulChar.IsQuadratic.gaussSum_frob_iterstatement and proof · cited by 1