lean_workbook_plus_33000

Disproved

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

Let $a \geq b \geq c >0$ . Prove that: $\large\large \frac{a^{2}-b^{2}}{c}+\frac{c^{2}-b^{2}}{a}+\frac{a^{2}-b^{2}}{b}\geq 3a-4b+c$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_33000 : ∀ a b c : ℝ, a ≥ b ∧ b ≥ c ∧ c > 0 → (a^2 - b^2) / c + (c^2 - b^2) / a + (a^2 - b^2) / b ≥ 3 * a - 4 * b + c   :=  by sorry

Source

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

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