lean_workbook_plus_12686

Proved

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

Prove $a^3+b^3+c^3\ge a^2b+b^2c+c^2a$ for all non-negative real numbers $a,b,c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12686 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) : a ^ 3 + b ^ 3 + c ^ 3 ≥ a ^ 2 * b + b ^ 2 * c + c ^ 2 * a   :=  by sorry

Source

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

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