lean_workbook_plus_1961

Proved

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

Prove the inequality for positive variables a, b, and c: \n $\frac{a^2}{a+b}+\frac{b^2}{b+c} \ge \frac{3a+2b-c}{4}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1961 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a^2 / (a + b) + b^2 / (b + c)) ≥ (3 * a + 2 * b - c) / 4   :=  by sorry

Source

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

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