lean_workbook_plus_18675

Disproved

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

Prove that $4(yz + zx + xy)^3(x^2y + y^2z + z^2x + xyz)^2\geq27x^2y^2z^2(y + z)^2(z + x)^2(x + y)^2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_18675 : ∀ x y z : ℝ, 4 * (y * z + z * x + x * y) ^ 3 * (x ^ 2 * y + y ^ 2 * z + z ^ 2 * x + x * y * z) ^ 2 ≥ 27 * x ^ 2 * y ^ 2 * z ^ 2 * (y + z) ^ 2 * (z + x) ^ 2 * (x + y) ^ 2   :=  by sorry

Source

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

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