A cubic bound above two

Proved

WorkbookSource.problem_17980

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

lean-workbooksource-checked

If $t > 2$ , show that $t(t^2 - 3) > 2$ .

Source: InternLM Lean-Workbook, record lean_workbook_17980 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble

import Mathlib
open Real

Formal statement

theorem WorkbookSource.problem_17980 : ∀ t : ℝ, t > 2 → t * (t ^ 2 - 3) > 2  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_17980; Apache-2.0

View graph