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lean_workbook_plus_54332

Proved

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

Use Bezout's lemma to find xxx and yyy such that xa1+ya2=gcd⁡(a1,a2)x a_1 + y a_2 = \gcd(a_1, a_2)xa1​+ya2​=gcd(a1​,a2​).

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_54332 (a₁ a₂ : ℕ) : ∃ x y : ℤ, x * a₁ + y * a₂ = Nat.gcd a₁ a₂   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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