Theorems · Theorem · number theory
legendreSym.mod
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] (a : ℤ), legendreSym p a = legendreSym p (a % ↑p)
The Legendre symbol depends only on a mod p.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ZModproof · cited by 1,024
- legendreSymstatement · cited by 51
- quadraticCharproof · cited by 34
- ZMod.intCast_modproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- jacobiSym.mod_leftproof · cited by 3
- legendreSym_mersenne_threeproof · cited by 1