lean_workbook_plus_54346

Proved

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

Let $a,b,c$ be positive real numbers .Prove that \n\n

(a+b)^2+(a+b+c)^2\geq \frac{100abc}{4a+4b+c}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_54346 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a + b) ^ 2 + (a + b + c) ^ 2 ≥ 100 * a * b * c / (4 * a + 4 * b + c)   :=  by sorry

Source

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

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