Theorems · Theorem · number theory
jacobiSym.eq_zero_iff
∀ {a : ℤ} {b : ℕ}, jacobiSym a b = 0 ↔ b ≠ 0 ∧ a.gcd ↑b ≠ 1The symbol J(a | b) vanishes if and only if b ≠ 0 and a and b are not coprime.
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- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
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- eq_or_neproof · cited by 1,117
- jacobiSymstatement and proof · cited by 44
- jacobiSym.zero_rightproof · cited by 4
- jacobiSym.eq_zero_iff_not_coprimeproof · cited by 3
- jacobiSym.ne_zeroproof · cited by 2
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