lean_workbook_plus_53142

Proved

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

Prove that $\frac{a}{2008}+\frac{b}{2007}+\frac{c}{2006}\geq 0$ if for each $x\geq 0$ , $ax^2+bx+c\geq 0$ and $a, b, c \in \mathbb{R}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_53142 (a b c : ℝ) (ha : ∀ x : ℝ, x ≥ 0 → a * x ^ 2 + b * x + c ≥ 0) : a / 2008 + b / 2007 + c / 2006 ≥ 0   :=  by sorry

Source