What can constitute a dictionary entry for "be the poorer for something"? I know what it means but I can't find any dictionaries contain it so to explain it to someone else. I found it very peculiar that there was no online source about that expression.
It's fairly difficult without re-using the words "to be" or "poor".
To be the poorer for (something): To be more poor as a result of (something).
Since the most appropriate of the Chambers definitions of "poor" is "in a sorry condition".
To be the poorer for (something): To be in a more sorry condition as a result of (something)
But I question the need for this, as the definition is tautological. Its full meaning is in the words used.