Prove2Me

lean_workbook_plus_29101

Proved

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

⇔2(ab+bc+ca)(a+b)(b+c)(c+a)≤94(a+b+c) \Leftrightarrow \frac {2(ab + bc + ca)}{(a + b)(b + c)(c + a)}\leq \frac {9}{4(a + b + c)}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_29101 {a b c : ℝ} (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (2 * (a * b + b * c + c * a)) / (a + b) / (b + c) / (c + a) ≤ 9 / 4 / (a + b + c)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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