lean_workbook_plus_50329

Proved

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

Let $a, b$ be the positive real numbers such that $(a-\frac{2}{b})(b-\frac{1}{a})=\frac{3}{2} .$ Prove that

a+2b\geq 2

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_50329 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : (a - 2 / b) * (b - 1 / a) = 3 / 2) : a + 2 * b ≥ 2   :=  by sorry

Source