Prove2Me

lean_workbook_plus_48444

Disproved

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

Solve the system of equations with full solution:\nx2+y(x+y)=4y−1x^{2}+y(x+y)=4y-1\n(xy)3+(xy)2+xy+1=4y2(xy)^{3}+(xy)^{2}+xy+1=4y^{2}\n\nI may assume that x,yx,y are real numbers, right?

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_48444 (x y : ℝ) (h₁ : x^2 + y * (x + y) = 4 * y - 1) (h₂ : (x * y)^3 + (x * y)^2 + x * y + 1 = 4 * y^2) : x = 1 ∧ y = -1   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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