lean_workbook_plus_2046

Proved

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

Prove the inequality: $2a^4 + b^4 + c^4 - 4a^2bc \geq 0$ for all real numbers $a$ , $b$ , and $c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_2046 (a b c : ℝ) : 2 * a ^ 4 + b ^ 4 + c ^ 4 - 4 * a ^ 2 * b * c ≥ 0   :=  by sorry

Source