lean_workbook_plus_16243

Proved

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

Prove that $x + y + z \geq \sqrt{3(xy + xz + yz)}$ where $x, y, z \in \mathbb{R}^+$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_16243 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : x + y + z ≥ Real.sqrt (3 * (x * y + x * z + y * z))   :=  by sorry

Source

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

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