lean_workbook_plus_10366

Proved

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

If $a,b$ are non-negative reals, such that $a+b=2$ , prove that $a^{4}+b^{4}\ge 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10366 (a b : ℝ) (ha : a ≥ 0 ∧ b ≥ 0 ∧ a + b = 2) : a^4 + b^4 ≥ 2   :=  by sorry

Source