Theorems · Theorem · number theory
quadraticChar_eq_zero_iff
∀ {F : Type u_1} [inst : Field F] [inst_1 : Fintype F] [inst_2 : DecidableEq F] {a : F}, (quadraticChar F) a = 0 ↔ a = 0The value of the quadratic character on a is zero iff a = 0.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 144 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.
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
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- MulCharstatement · cited by 186
- quadraticCharstatement · cited by 34
- quadraticCharFun_eq_zero_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- legendreSym.eq_zero_iffproof · cited by 3