What is the meaning of the word "after all"?

Definitions:

  1. emphasizes something to be considered copy to clipboard adverb
    • After all, they are your closest friends, so you have to invite them. copy to clipboard
  2. in any case, contrary to expectation copy to clipboard adverb
    • They came to the party after all. copy to clipboard
  3. in spite of copy to clipboard noun
    • After all the preacher's sermons on greed, they were found to be stealing from the collection box for orphan children. copy to clipboard