lean_workbook_plus_26729

Proved

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

Let $a,b>0$ and $a+b=1.$ Prove that \n

\frac{2+a}{2-a}+\frac{2+b}{2 -b}\geq \frac{10}{3}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26729 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a + b = 1) : (2 + a) / (2 - a) + (2 + b) / (2 - b) ≥ 10 / 3   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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