lean_workbook_plus_60138

Proved

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

Let $0\le{a}\le{b}\le{c}$ be real numbers. Prove that $(a+3b)(b+4c)(c+2a)\ge {60abc}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_60138 (a b c : ℝ) (ha : 0 ≤ a) (hb : a ≤ b) (hc : b ≤ c) : (a + 3 * b) * (b + 4 * c) * (c + 2 * a) ≥ 60 * a * b * c   :=  by sorry

Source

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

View graph