Comparing powers of two and three

Proved

WorkbookSource.problem_22040

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

lean-workbooksource-checked

Show that $2^{845}>3^{362}$ using the fact that $2^8>3^3$ .

Source: InternLM Lean-Workbook, record lean_workbook_22040 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_22040 : 2 ^ 845 > 3 ^ 362  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_22040; Apache-2.0

View graph