lean_workbook_plus_75617

Proved

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

Prove that \n\n $\frac{a^3+b^3-c^3}{a+b-c} \leq \frac32 (a^2+b^2+c^2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_75617 (a b c : ℝ) (ha : a + b > c) (hb : a + c > b) (hc : b + c > a) : (a^3 + b^3 - c^3) / (a + b - c) ≤ (3 / 2) * (a^2 + b^2 + c^2)   :=  by sorry

Source

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

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