lean_workbook_plus_52789

Proved

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

Let $a,b$ be real numbers such that $a^2b^2+a+b=7ab$ . Prove that $ab+a+b\leq 16$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_52789 (a b : ℝ) (h : a^2 * b^2 + a + b = 7 * a * b) :
  a * b + a + b ≤ 16   :=  by sorry

Source