lean_workbook_plus_44828

Proved

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

If $a,b,c \ge 1$ then $4(abc+1)\ge (1+a)(1+b)(1+c)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_44828 (a b c : ℝ) (ha : 1 ≤ a) (hb : 1 ≤ b) (hc : 1 ≤ c) : 4 * (a * b * c + 1) ≥ (1 + a) * (1 + b) * (1 + c)   :=  by sorry

Source

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

View graph