lean_workbook_plus_46467

Disproved

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

Prove that $(a-b)^2+(b-c)^2+(c-a)^2+2(a^2+b^2+c^2) \ge 12$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46467 : ∀ a b c : ℝ, (a - b) ^ 2 + (b - c) ^ 2 + (c - a) ^ 2 + 2 * (a ^ 2 + b ^ 2 + c ^ 2) ≥ 12   :=  by sorry

Source