lean_workbook_plus_41351

Proved

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

Let $a, b, c$ be positive real numbers. Prove that the following inequality is true: \n\n $\dfrac{a}{b+c}+\dfrac{b}{a+c}+\dfrac{c}{a+b}\ge\dfrac{3}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_41351 : ∀ a b c : ℝ, (a > 0 ∧ b > 0 ∧ c > 0 → a / (b + c) + b / (a + c) + c / (a + b) ≥ 3 / 2)   :=  by sorry

Source

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

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