Theorems · Theorem · number theory
jacobiSym.zero_right
∀ (a : ℤ), jacobiSym a 0 = 1
The symbol J(a | 0) has the value 1.
- Cited by
- 4 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.prime_of_mem_primeFactorsListproof · cited by 30
- Nat.primeFactorsList_zeroproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- jacobiSym.ne_zeroproof · cited by 2
- jacobiSym.eq_zero_iffproof · cited by 0
- jacobiSym.pow_rightproof · cited by 0
- jacobiSym.eq_neg_one_at_prime_divisor_of_eq_neg_oneproof · cited by 0