Theorems · Theorem · number theory
quadraticCharFun_mul
∀ {F : Type u_1} [inst : Field F] [inst_1 : Fintype F] [inst_2 : DecidableEq F] (a b : F),
quadraticCharFun F (a * b) = quadraticCharFun F a * quadraticCharFun F bThe quadratic character is multiplicative.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 142 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.
Cites17
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
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- Fintype.cardproof · cited by 1,386
- neg_negproof · cited by 960
- mul_negproof · cited by 590
- mul_powproof · cited by 220
- mul_ne_zeroproof · cited by 178
- ringCharproof · cited by 73
- quadraticCharFunstatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- quadraticCharproof · cited by 34