lean_workbook_plus_2545

Proved

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

For all positive real numbers $a,b,c$ , prove that $\frac {a}{b + c} + \frac {b}{c + a} + \frac {c}{a + b} \geq \frac {3}{2}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_2545 (a b c : ℝ) (hab : 0 < a) (hbc : 0 < b) (hca : 0 < c) : (a / (b + c) + b / (c + a) + c / (a + b)) ≥ 3 / 2   :=  by sorry

Source

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

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