lean_workbook_plus_12126

Proved

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

Let $a,b,c> 0$ such that $abc=1$ , prove that

(ab+c)(bc+a)(ca+b)\ge (a+b)(b+c)(c+a)

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12126 (a b c : ℝ) (habc : a * b * c = 1) : (a * b + c) * (b * c + a) * (c * a + b) ≥ (a + b) * (b + c) * (c + a)   :=  by sorry

Source

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

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