lean_workbook_plus_64850

Disproved

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

Prove that $(ab - 1)(ac - 1)(bc - 1)\geq (a^{2} - 1)(b^{2} - 1)(c^{2} - 1)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_64850 : ∀ a b c : ℝ, (a * b - 1) * (a * c - 1) * (b * c - 1) ≥ (a ^ 2 - 1) * (b ^ 2 - 1) * (c ^ 2 - 1)   :=  by sorry

Source