lean_workbook_plus_42502

Disproved

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

Prove that $\frac{2(a+b+1)^2}{a^2+b^2+3ab+3a+3b+1}\geq\frac{3}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_42502 : ∀ a b : ℝ, (2 * (a + b + 1) ^ 2 / (a ^ 2 + b ^ 2 + 3 * a * b + 3 * a + 3 * b + 1) ≥ 3 / 2)   :=  by sorry

Source