“If he abused her of course he�s bad. I�m not sure why you need to even ask”
If your not sure, then you aren’t reading your posts.
“But if there�s no proof we can�t accept the allegation as true. The Halacha in S�A is clear about that.”
Nobody is asking us to accept anything. This isnt a beis din.
The question is if a marriage is over * and a husband forces his wife to remain stuck in the marriage. Is he a jerk?
Note: not is that his halachic right. That isn’t the question.
You seem to have come around a bit “If you�re asking regarding a case where he�s beating her (which he obviously knows) but the Beis Din has no proof of it, then of course he�s being bad and is required to stop or agree to divorce (even if Beis Din can�t force him since there�s no proof.)”
Thats great.
Of course there are other forms of abuse as well, besides hitting, as , I assume, you know.
*defined any way you want