Prove2Me

lean_workbook_plus_44938

Proved

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

Prove that:\n8(x3+y3+z3)2≥9(x2+yz)(y2+zx)(z2+xy) 8(x^3 + y^3 + z^3)^2 \geq 9(x^2 + yz)(y^2 + zx)(z^2 + xy)\nWhere x,y,z x,y,z are arbitrary positive reals

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_44938 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : 8 * (x ^ 3 + y ^ 3 + z ^ 3) ^ 2 ≥ 9 * (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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