A bound for a squared cubic expression

Proved

WorkbookSource.problem_48058

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

lean-workbooksource-checked

Prove $b^6+b^4+b^2+1\geq (1+b^3)^2$

Source: InternLM Lean-Workbook, record lean_workbook_48058 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble

import Mathlib
open Real

Formal statement

theorem WorkbookSource.problem_48058 (b : ℝ) : b^6 + b^4 + b^2 + 1 ≥ (1 + b^3)^2  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_48058; Apache-2.0

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