lean_workbook_plus_36503

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Find the value of $\frac{10^{2002}-1}{9}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_36503 (n : ℕ) : (10 ^ 2002 - 1) / 9 = 111111111   :=  by sorry

A2002-digit repunit was replaced by a nine-digit one.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Express(10²⁰⁰²−1)/9 as∑_{k=0}^{2001}10ᵏ, the integer with exactly2002 decimal ones.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.