2 Timothy 4:1
Solemn Charge to Timothy , v. 2 to preach the word. To carry on with Paul's work.
That is, the Lord Jesus; for he is to be the judge of men; Mat. 25:31-46; 2 Corinthians 5:10. The word “ quick” means “ living” (See the Acts 10:42 note; Ephesians 2:1 note); and the idea is, that he would be alike the judge of all who were alive when he should come, and of all who had died; see the notes on 1 Thessalonians 4:16-17 (Barnes)
1 Corinthians 15:51
At his appearing and his kingdom. This final judgment is placed at the time when Christ shall appear in his kingdom of glory. See Matthew 25:31. See Matthew 16:28.
His appearing and his kingdom are not added as witnesses, but for the purpose of reminding Timothy of both.