lean_workbook_plus_59543

Proved

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

Let $a,b >0$ and $\dfrac{2}{1+a}+\dfrac{5}{1+b} \le 1.$ Prove that \n

5a+2b\geq 33

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_59543 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : (2 / (1 + a) + 5 / (1 + b) ≤ 1 → 5 * a + 2 * b ≥ 33)   :=  by sorry

Source