lean_workbook_plus_12117

Proved

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

Let $a>0,b>0,a+b>1$ . \n\n $\frac{1}{a+b-1}+\frac{a}{b}+\frac{b}{a} \ge 1+\frac{1}{a}+\frac{1}{b}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12117 (a b : ℝ) (ha : a > 0) (hb : b > 0) (hab : a + b > 1) : 1 / (a + b - 1) + a / b + b / a ≥ 1 + 1 / a + 1 / b   :=  by sorry

Source

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

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