lean_workbook_plus_66023

Proved

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

This inequality is true using Cauchy : $9\left(a^{2} + 3b^{2} + 5c^{2}\right) = \left(1 + 3 + 5\right)\left(a^{2} + 3b^{2} + 5c^{2}\right)\ge\left(a + 3b + 5c\right)^{2}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_66023 : ∀ a b c : ℝ, 9 * (a ^ 2 + 3 * b ^ 2 + 5 * c ^ 2) ≥ (a + 3 * b + 5 * c) ^ 2   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph