Theorems · Theorem · number theory
legendreSym.at_two
∀ {p : ℕ} [inst : Fact (Nat.Prime p)], p ≠ 2 → legendreSym p 2 = ZMod.χ₈ ↑plegendreSym p 2 is given by χ₈ p.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 221 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ZModstatement and proof · cited by 1,024
- MulCharstatement · cited by 186
- Int.cast_ofNatproof · cited by 86
- legendreSymstatement · cited by 51
- ZMod.cardproof · cited by 36
- quadraticCharproof · cited by 34
- ZMod.χ₈statement and proof · cited by 14
- ZMod.ringChar_zmod_nproof · cited by 9
- quadraticChar_twoproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- jacobiSym.at_twoproof · cited by 2
- legendreSym_mersenne_twoproof · cited by 1