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Update FormalBook/Chapter_05.lean
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mo271 authored Nov 22, 2024
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2 changes: 1 addition & 1 deletion FormalBook/Chapter_05.lean
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Expand Up @@ -114,7 +114,7 @@ lemma fact_B (p : ℕ) [Fact (Prime p)] (K : Type _) [Field K] (ζ : Kˣ) (h_1 :
theorem quadratic_reciprocity_2 (p q : ℕ) (hp : p ≠ 2) (hq : q ≠ 2)
[Fact (Nat.Prime p)] [Fact (Nat.Prime q)] :
(legendre_sym p q) * (legendre_sym q p) = -1 ^ ((p-1) / 2 * (q - 1) / 2 ) := by
exact book.quadratic_reciprocity.quadratic_reciprocity_1 p q hp hq
sorry


end quadratic_reciprocity
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