Prove2Me

A comparison of two linear combinations of radicals

Proved
WorkbookSource.plus_30437

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

lean-workbooksource-checked

Prove: 52−11<53−35 \sqrt{2} - \sqrt{11} < 5 \sqrt{3} - 3

Source: InternLM Lean-Workbook, record lean_workbook_plus_30437 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.plus_30437 : 5 * Real.sqrt 2 - Real.sqrt 11 < 5 * Real.sqrt 3 - 3   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_plus_30437; Apache-2.0

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