Prove2Me

Strict positivity of a quartic

Proved
WorkbookSource.problem_51120

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

lean-workbooksource-checked

Prove that: a4−6a3+12a2−9a+3>0,a∈R a^4-6a^3+12a^2-9a+3>0, a \in \mathbb{R} .

Source: InternLM Lean-Workbook, record lean_workbook_51120 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_51120 (a : ℝ) : a^4 - 6*a^3 + 12*a^2 - 9*a + 3 > 0  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_51120; Apache-2.0

View graph