Theorems · Theorem · number theory
jacobiSym.trichotomy
∀ (a : ℤ) (b : ℕ), jacobiSym a b = 0 ∨ jacobiSym a b = 1 ∨ jacobiSym a b = -1
The Jacobi symbol takes only the values 0, 1 and -1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- jacobiSymstatement · cited by 44
- MonoidWithZeroHom.toMonoidHomproof · cited by 39
- Nat.prime_of_mem_primeFactorsListproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- jacobiSym.eq_one_or_neg_oneproof · cited by 1