lean_workbook_plus_2995

Proved

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

Note that $2(a^2-a+1)(b^2-b+1)-(a+b-1)^2-1=a^2(b-1)^2+b^2(a-1)^2\ge 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_2995 (a b : ℝ) : 2 * (a ^ 2 - a + 1) * (b ^ 2 - b + 1) - (a + b - 1) ^ 2 - 1 ≥ 0   :=  by sorry

Source