lean_workbook_plus_20321

Proved

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

Given $a,b,c\in \mathbb{R^+}$ , prove that $a^3+b^3+c^3+5\ge 2a^2+2b^2+2c^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_20321 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a^3 + b^3 + c^3 + 5 ≥ 2 * a^2 + 2 * b^2 + 2 * c^2   :=  by sorry

Source

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

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