Prove2Me

lean_workbook_plus_61791

Proved

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

Prove for any x,y,z≥0 x,y,z\geq 0 : \n 8(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)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_61791 (x y z : ℝ) (hx : x ≥ 0) (hy : y ≥ 0) (hz : z ≥ 0) : 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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