A strict inequality between two sums of radicals

Proved

WorkbookSource.plus_24738

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

lean-workbooksource-checked

Prove that $\sqrt{2} + \sqrt{3} < 1 + \sqrt{5}$ .

Source: InternLM Lean-Workbook, record lean_workbook_plus_24738 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.plus_24738 : √2 + √3 < 1 + √5   :=  by sorry

Source