lean_workbook_plus_25978

Proved

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

prove that $\frac{m}{1+m+mn}+\frac{n}{1+n+np}+\frac{p}{1+p+pm}\leq 1$ given $\{m,n,p\}\subset\mathbb R_+^*$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_25978 (m n p : ℝ) (hm : 0 < m) (hn : 0 < n) (hp : 0 < p) : m / (1 + m + m * n) + n / (1 + n + n * p) + p / (1 + p + p * m) ≤ 1   :=  by sorry

Source

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

View graph