lean_workbook_plus_26231

Proved

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

Let $x,y$ be positive real number . Prove that \n

\frac{x}{2y+9}+\frac{ y}{3x+6}+\frac{3}{2x+3y}\geq \frac{3}{5}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26231 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : (x / (2 * y + 9) + y / (3 * x + 6) + 3 / (2 * x + 3 * y)) ≥ 3 / 5   :=  by sorry

Source

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

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