Theorems · Theorem · number theory
jacobiSym.one_left
∀ (b : ℕ), jacobiSym 1 b = 1
The symbol J(1 | b) has the value 1.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Nat.Primeproof · cited by 2,059
- Nat.primeFactorsListproof · cited by 105
- legendreSymproof · cited by 51
- jacobiSymstatement · cited by 44
- Nat.prime_of_mem_primeFactorsListproof · cited by 30
- List.prod_eq_oneproof · cited by 5
- legendreSym.at_oneproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- qrSign.neg_one_powproof · cited by 4
- jacobiSym.pow_leftproof · cited by 3
- jacobiSym.quadratic_reciprocity'proof · cited by 2
- jacobiSym.list_prod_leftproof · cited by 0
- jacobiSym.at_fourproof · cited by 0