Mathlib Map

Theorems · Theorem · number theory

ZMod.nonsquare_of_jacobiSym_eq_neg_one

∀ {a : ℤ} {b : ℕ}, jacobiSym a b = -1 → ¬IsSquare ↑a

If J(a | b) is -1, then a is not a square modulo b.

Defined in
Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol
Cited by
0 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.