lean_workbook_plus_66652

Proved

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

Let $a$ , $b$ and $c$ be non-negative numbers. Prove that: $a^3+b^3-3ab+1\geq0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_66652 (a b c : ℝ) (ha : a ≥ 0) (hb : b ≥ 0) (hc : c ≥ 0) : a^3 + b^3 - 3 * a * b + 1 ≥ 0   :=  by sorry

Source