Theorems · Theorem · number theory
jacobiSym.mod_left
∀ (a : ℤ) (b : ℕ), jacobiSym a b = jacobiSym (a % ↑b) b
The symbol J(a | b) depends only on a mod b.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Nat.Primeproof · cited by 2,059
- Nat.primeFactorsListproof · cited by 105
- legendreSymproof · cited by 51
- jacobiSymstatement · cited by 44
- Nat.dvd_of_mem_primeFactorsListproof · cited by 8
- legendreSym.modproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- jacobiSym.mod_right'proof · cited by 1
- ZMod.nonsquare_of_jacobiSym_eq_neg_oneproof · cited by 0
- jacobiSym.mod_left'proof · cited by 0