lean_workbook_plus_66506

Proved

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

Let $x,y,z$ be positive real numbers . Prove that : $\frac{x^2}{y+z} \geq \frac{4x-y-z}{4}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_66506 (x y z : ℝ) (hx : x > 0) (hy : y > 0) (hz : z > 0) : (x^2 / (y + z)) ≥ (4 * x - y - z) / 4   :=  by sorry

Source