A sixth degree polynomial inequality

Proved

WorkbookSource.problem_33047

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

prove that $3(a^2+a+1)^2 \le (a^2+2)^3$

Source: InternLM Lean-Workbook, record lean_workbook_33047 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble

import Mathlib
open Real

Formal statement

theorem WorkbookSource.problem_33047 (a : ℝ) : 3 * (a^2 + a + 1)^2 ≤ (a^2 + 2)^3  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_33047; Apache-2.0

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