lean_workbook_plus_49236

Disproved

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

Prove the inequality: $a^3b^2+b^3c^2+c^3a^2\ge a^3bc+b^3ac+c^3ab$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_49236 : ∀ a b c : ℝ, a^3 * b^2 + b^3 * c^2 + c^3 * a^2 ≥ a^3 * b * c + b^3 * a * c + c^3 * a * b   :=  by sorry

Source