lean_workbook_plus_861

Proved

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

Prove that for all positives x,y : $2x^2y+2xy^2+x^2+y^2+2xy+1-xy\geq \frac{3(2xy+x+y)}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_861 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : 2*x^2*y + 2*x*y^2 + x^2 + y^2 + 2*x*y + 1 - x*y ≥ 3*(2*x*y + x + y)/2   :=  by sorry

Source

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

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