lean_workbook_plus_17596

Proved

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

Let $a$ , $b$ and $c$ be non-negative numbers. Prove that: $2(a^3+b^3+c^3)+3\geq3(ab+ac+bc)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17596 (a b c : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hc : 0 ≤ c) : 2 * (a ^ 3 + b ^ 3 + c ^ 3) + 3 ≥ 3 * (a * b + a * c + b * c)   :=  by sorry

Source

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

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