Prove2Me

lean_workbook_plus_64328

Proved

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

Let a,b>0a,b>0 and ab+1+ba+1+1a+b+1=43.\frac{a}{b+1}+\frac{b}{a+1}+\frac{1}{a+b+1}=\frac{4}{3}. Prove that

a+b≤2a+b \leq 2
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_64328 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : (a / (b + 1) + b / (a + 1) + 1 / (a + b + 1) = 4 / 3 → a + b ≤ 2)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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