lean_workbook_plus_1696

Disproved

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

If $a,b,c$ are positive numbers less than 1, then \n\n $(1+a)(1+b)(1+c) \ge 2(1+a+b+c)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1696 (a b c : ℝ) (ha : 0 < a ∧ a < 1) (hb : 0 < b ∧ b < 1) (hc : 0 < c ∧ c < 1) : (1 + a) * (1 + b) * (1 + c) ≥ 2 * (1 + a + b + c)   :=  by sorry

Source

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

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