lean_workbook_plus_68289

Proved

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

Let $x,y,z>0$ ,prove that: $E.1+\frac{2x^2}{z^2}+\frac{3y^2} {x^2}\geq \frac{2y}{x}+\frac{4y}{z}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68289 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : 1 + (2 * x^2 / z^2) + (3 * y^2 / x^2) ≥ 2 * y / x + 4 * y / z   :=  by sorry

Source

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

View graph