Assalamu alaikum. Is it true that it is permitted for husband not to fulfil wife’s right if she does not fulfil husband’s right?
Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh.
Both a husband and wife must strive to fulfill each other’s rights. This is the ultimate purpose of marriage.
If there is no good reason why one spouse is not fulfilling the rights of the other, then the other spouse can postpone some of the obligations they have towards the other for a temporary period of time, until the issue gets resolved.
This matter requires more detail in a counseling session, since every case is a little different.
Allah Almighty knows best.