lean_workbook_plus_17552

Proved

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

Prove that, for all reals $a, b$ : \n\n $a^2(1+b^4)+b^2(1+a^4)\leq(1+a^4)(1+b^4)$ \n\n and determine when equality occurs.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17552 (a b : ℝ) : a^2 * (1 + b^4) + b^2 * (1 + a^4) ≤ (1 + a^4) * (1 + b^4)   :=  by sorry

Source