lean_workbook_plus_6635

Proved

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

Let $a,b,c >0$ and $\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}=1.$ Show that $a+b+c+2=abc$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_6635 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (1 / (1 + a) + 1 / (1 + b) + 1 / (1 + c) = 1 → a + b + c + 2 = a * b * c)   :=  by sorry

Source

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

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