lean_workbook_plus_11272

Proved

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

For all reals $a$ , $b$ and $c$ such that $a+b+c=3$ prove that: $a^2+b^2+a^2b^2+abc\geq4ab$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11272 (a b c : ℝ) (hab : a + b + c = 3) : a^2 + b^2 + a^2 * b^2 + a * b * c ≥ 4 * a * b   :=  by sorry

Source