lean_workbook_plus_27477

Proved

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

Let $a,b\in [0,1]$ . Prove that $\frac{a}{2b+5}+\frac{b}{2a+5}\leq\frac{2}{7}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_27477 (a b : ℝ) (ha : a ∈ Set.Icc 0 1) (hb : b ∈ Set.Icc 0 1) : a / (2 * b + 5) + b / (2 * a + 5) ≤ 2 / 7   :=  by sorry

Source