lean_workbook_plus_16302

Proved

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

Let $x,y,z>0,$ prove that:\n\n $\frac{y+z}{x}+2\geq 4(\frac{z}{z+x}+\frac{y}{x+y}).$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_16302 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : (y + z) / x + 2 ≥ 4 * (z / (z + x) + y / (x + y))   :=  by sorry

Source

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

View graph