lean_workbook_plus_44876

Proved

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

Let $x,y\ge 0$ such that $x+y=3$ . Prove that $xy^2\le 4$ , and find when equality occurs.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_44876 (x y : ℝ) (h₁ : x + y = 3) (h₂ : x ≥ 0 ∧ y ≥ 0) : x * y ^ 2 ≤ 4   :=  by sorry

Source