lean_workbook_plus_57203

Proved

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

Prove that $a^{2}(1+b^{4}) + b^{2}(1+a^{4}) \le (1+a^{4})(1+b^{4})$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_57203 : ∀ a b : ℝ, a^2 * (1 + b^4) + b^2 * (1 + a^4) ≤ (1 + a^4) * (1 + b^4)   :=  by sorry

Source