Prove2Me

lean_workbook_plus_80270

Proved

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

Prove 7(a+b+c)(ab+bc+ca)≤9abc+2(a+b+c)37(a+b+c)(ab+bc+ca) \leq 9abc + 2(a+b+c)^3 with a,b,c>0a, b, c > 0.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_80270 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : 7 * (a + b + c) * (a * b + b * c + c * a) ≤ 9 * a * b * c + 2 * (a + b + c) ^ 3   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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