Prove2Me

lean_workbook_plus_52954

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

We have gcd(x,y)2∣x2,y2⇒gcd(x,y)2∣x2+y2\text{gcd}(x,y)^2 | x^2,y^2 \Rightarrow \text{gcd}(x,y)^2 | x^2+y^2

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_52954 (x y : ℤ) : (gcd x y)^2 ∣ x^2 + y^2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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