lean_workbook_plus_6130

Proved

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

Prove that $17(x+y+z)^4-76(x+y+z)^2(xy+yz+zx)+4(x+y+z)xyz-24(x+y+z)(x^2y+y^2z+z^2x)+98(xy+yz+zx)^2\geq 0$ for $x,y,z \in \mathbb{R}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_6130 (x y z : ℝ) : 17 * (x + y + z) ^ 4 - 76 * (x + y + z) ^ 2 * (x * y + y * z + z * x) + 4 * (x + y + z) * x * y * z - 24 * (x + y + z) * (x ^ 2 * y + y ^ 2 * z + z ^ 2 * x) + 98 * (x * y + y * z + z * x) ^ 2 ≥ 0   :=  by sorry

Source

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

View graph