A positive combination of three square roots

Proved

WorkbookSource.base_46845

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

lean-workbooksource-checked

Prove that $\sqrt{6}-\sqrt{2}-\sqrt{3}+1>0$

Source: InternLM Lean-Workbook, record lean_workbook_46845 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.base_46845 : 0 < √6 - √2 - √3 + 1  :=  by sorry

Source