lean_workbook_plus_11411

Proved

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

Prove the inequality: $a^2b^2 + b^2c^2 + a^2c^2 - ab^2c - abc^2 - a^2bc \ge 0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11411 : ∀ a b c : ℝ, a^2 * b^2 + b^2 * c^2 + a^2 * c^2 - a * b^2 * c - a * b * c^2 - a^2 * b * c ≥ 0   :=  by sorry

Source