Comparing powers of two with exponential exponents

Proved

WorkbookSource.base_9065

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

lean-workbooksource-checked

Prove that $2^{3^{100}}>2^{2^{151}}$ .

Source: InternLM Lean-Workbook, record lean_workbook_9065 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.base_9065 : 2^(3^100) > 2^(2^151)  :=  by sorry

Source