lean_workbook_plus_10109

Proved

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

Let $a,b>0$ and $a+b^2=1.$ Prove that

ab+2a+3b \leq \frac{94}{27}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10109 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a + b^2 = 1) : a * b + 2 * a + 3 * b ≤ 94 / 27   :=  by sorry

Source