Cancelling powers of two and four

Proved

WorkbookSource.problem_31194

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

lean-workbooksource-checked

What is $2^{2017}*(\frac{1}{4})^ {1008}$

Source: InternLM Lean-Workbook, record lean_workbook_31194 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_31194 : (2^(2017):ℝ) * (1/4)^1008 = 2  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_31194; Apache-2.0

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