lean_workbook_plus_28998

Proved

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

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

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_28998 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : (z^2 / x^2 + (x^2 + y^2) / (2 * z^2)) ≥ 1 + y / x   :=  by sorry

Source

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

View graph