Theorems · Theorem · number theory
jacobiSym.eq_one_or_neg_one
∀ {a : ℤ} {b : ℕ}, a.gcd ↑b = 1 → jacobiSym a b = 1 ∨ jacobiSym a b = -1The symbol J(a | b) takes the value 1 or -1 if a and b are coprime.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- jacobiSymstatement · cited by 44
- jacobiSym.ne_zeroproof · cited by 2
- jacobiSym.trichotomyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- jacobiSym.sq_oneproof · cited by 1