lean_workbook_plus_78731

Proved

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

Let $x,y,z \ge0$ . Prove that $(x+y+z)^4+3(xy+yz+zx)^2 \ge 4(x+y+z)^2(xy+yz+zx)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_78731 (x y z: ℝ) : (x + y + z) ^ 4 + 3 * (x * y + y * z + z * x) ^ 2 ≥ 4 * (x + y + z) ^ 2 * (x * y + y * z + z * x)   :=  by sorry

Source

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

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