lean_workbook_plus_44760

Proved

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

Prove that $3(a^2+b^2+1)(c^2+2) \geq 3(a+b+c)^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_44760 (a b c : ℝ) : 3 * (a ^ 2 + b ^ 2 + 1) * (c ^ 2 + 2) ≥ 3 * (a + b + c) ^ 2   :=  by sorry

Source