lean_workbook_plus_66282

Proved

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

Let $x,y\geq 0$ and $2x+y^2=y^3+y+1.$ Prove that $2y+x^2\leq x^3+x+1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_66282 (x y : ℝ) (hx : 0 ≤ x) (hy : 0 ≤ y) (h : 2 * x + y ^ 2 = y ^ 3 + y + 1) : 2 * y + x ^ 2 ≤ x ^ 3 + x + 1   :=  by sorry

Source

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

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