A lower bound on three times a difference of radicals

Proved

WorkbookSource.base_57307

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

lean-workbooksource-checked

Prove that: $3(\sqrt{6}-\sqrt{2}) > 3.1$

Source: InternLM Lean-Workbook, record lean_workbook_57307 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.base_57307 : (3 : ℝ) * (Real.sqrt 6 - Real.sqrt 2) > 3.1  :=  by sorry

Source