lean_workbook_plus_78550

Proved

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

Determine if the inequality $3a^4-4a^3b+b^4 \geq 0$ holds for all real numbers $a$ and $b$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_78550 : ∀ a b : ℝ, 3 * a ^ 4 - 4 * a ^ 3 * b + b ^ 4 ≥ 0   :=  by sorry

Source