lean_workbook_plus_77476

Proved

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

Find all integer number $x,y$ such that $x^3+xy^2+x^2y+y^3=4(x^2+y^2+xy+3)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_77476 (x y : ℤ) (h : x^3 + x*y^2 + x^2*y + y^3 = 4*(x^2 + y^2 + x*y + 3)) : (x = 2 ∧ y = 2) ∨ (x = -2 ∧ y = -2) ∨ (x = 0 ∧ y = -3) ∨ (x = -3 ∧ y = 0)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph