Prove2Me

lean_workbook_plus_49427

Proved

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

If x,y,z∈R+,x,y,z\in \mathbb{R}^+, prove that (x3+y3+z3)2≥98(x2+yz)(y2+zx)(z2+xy)(x^3+y^3+z^3)^2\ge \frac 98(x^2+yz)(y^2+zx)(z^2+xy)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_49427 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : (x^3 + y^3 + z^3)^2 ≥ (9/8)*(x^2 + y*z)*(y^2 + z*x)*(z^2 + x*y)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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