Theorems · Theorem · number theory
jacobiSym.mul_right
∀ (a : ℤ) (b₁ b₂ : ℕ) [NeZero b₁] [NeZero b₂], jacobiSym a (b₁ * b₂) = jacobiSym a b₁ * jacobiSym a b₂
The Jacobi symbol is multiplicative in its second argument.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- jacobiSymstatement · cited by 44
- jacobiSym.mul_right'proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- jacobiSym.pow_rightproof · cited by 0
- qrSign.mul_rightproof · cited by 0