Theorems · Theorem · number theory
quadraticChar_isQuadratic
∀ (F : Type u_1) [inst : Field F] [inst_1 : Fintype F] [inst_2 : DecidableEq F], (quadraticChar F).IsQuadratic
The quadratic character is quadratic as a multiplicative character.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 148 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.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- quadraticCharstatement and proof · cited by 34
- MulChar.IsQuadraticstatement · cited by 18
- quadraticChar_dichotomyproof · cited by 3
- quadraticChar_zeroproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- quadraticChar_twoproof · cited by 3
- jacobiSym.trichotomyproof · cited by 1
- quadraticChar_card_cardproof · cited by 1