legendreSym.card_sqrts

∀ (p : ℕ) [inst : Fact (Nat.Prime p)], p ≠ 2 → ∀ (a : ℤ), ↑{x | x ^ 2 = ↑a}.toFinset.card = legendreSym p a + 1

The number of square roots of a modulo p is determined by the Legendre symbol.

Defined in: Mathlib.NumberTheory.LegendreSymbol.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fact

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