Comparing a power with a sum of two powers

Proved

WorkbookSource.problem_33411

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

lean-workbooksource-checked

Which is larger? $101^{50}$ or $(100^{50}+99^{50})$

Source: InternLM Lean-Workbook, record lean_workbook_33411 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_33411 : (101^50) > (100^50 + 99^50)  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_33411; Apache-2.0

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