lean_workbook_plus_30097

Proved

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

Let $a\ge 1,b\ge 2,c\ge 3,ab+bc+ca=16,$ prove that $abc\le 12$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_30097 (a b c : ℝ) (hab : 1 ≤ a) (hbc : 2 ≤ b) (hca : 3 ≤ c) (habc : a * b + b * c + c * a = 16) : a * b * c ≤ 12   :=  by sorry

Source

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

View graph