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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.

Defined in
Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol
Cited by
2 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NeZeroNeZero

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