lean_workbook_plus_51594

Proved

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

Find the minimum value of $2a^8 + 2b^6 + a^4 - b^3 - 2a^2 - 2$ for all $a, b \in \mathbb{R}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_51594 (a b : ℝ) : (2 * a ^ 8 + 2 * b ^ 6 + a ^ 4 - b ^ 3 - 2 * a ^ 2 - 2 : ℝ) ≥ -11 / 4   :=  by sorry

Source