Theorems · Definition · number theory
quadraticChar
(F : Type u_1) → [inst : Field F] → [Fintype F] → [DecidableEq F] → MulChar F ℤ
The quadratic character as a multiplicative character.
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldFintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- IsUnitproof · cited by 1,602
- MulCharstatement · cited by 186
- quadraticCharFunproof · cited by 9
- quadraticCharFun_mulproof · cited by 0
- quadraticCharFun_oneproof · cited by 0
Cited by35
Results whose statement or proof uses this declaration.
- legendreSymproof · cited by 51
- quadraticChar_one_iff_isSquarestatement · cited by 6
- quadraticChar_neg_onestatement and proof · cited by 5
- quadraticChar_applystatement and proof · cited by 5
- quadraticChar_neg_one_iff_not_isSquarestatement and proof · cited by 4
- quadraticChar_sq_onestatement and proof · cited by 3
- quadraticChar_twostatement · cited by 3
- legendreSym.eq_powproof · cited by 3
- quadraticChar_dichotomystatement · cited by 3
- quadraticChar_eq_pow_of_char_ne_two'statement and proof · cited by 3
- quadraticChar_isQuadraticstatement and proof · cited by 3
- quadraticChar_neg_twostatement and proof · cited by 2