lean_workbook_plus_12277

Proved

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

Or:\n $a^{4}+b^{4}+c^{4}+a^{2}b^{2}+b^{2}c^{2}+c^{2}a^{2}\ge a^{3}(b+c)+b^{3}(c+a)+c^{3}(a+b)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12277 (a b c : ℝ) : a^4 + b^4 + c^4 + a^2 * b^2 + b^2 * c^2 + c^2 * a^2 ≥ a^3 * (b + c) + b^3 * (c + a) + c^3 * (a + b)   :=  by sorry

Source

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

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