lean_workbook_plus_77328
Disproved⚠️ Retired — specification defect
The Lean statement below does not encode the problem shown on this page, so its
Disprovedstatus carries no information about that problem. Do not import this node or use it as a dependency.
The last digit of the natural number is . Determine the last digit of the number .
Why this node was retired
The posted statement is
theorem lean_workbook_plus_77328 (n : ℕ) (hn : n^9102 % 10 = 9) : n^2019 % 10 = 9 := by sorry
Conclude that the last digit of n^2019 is3 or7; n^9102 ending in9 forces n to end in3 or7 and does not choose between them.
The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.
Proposed corrected statement
Conclude that the last digit of n^2019 is3 or7; n^9102 ending in9 forces n to end in3 or7 and does not choose between them.
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.
import Mathlib.Analysis.Complex.Basic
theorem lean_workbook_plus_77328 (n : ℕ) (hn : n^9102 % 10 = 9) : n^2019 % 10 = 9 := by sorry