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If the flat above doesn’t like dogs or considers the behaviour of your dogs to be a nuisance then they can (if they are minded to do so) attempt to apply to court for an order that the dogs are removed on the basis that you have breached a term (ie a covenant) of the lease.
You would then probably get in to a fight about whether or not the dogs truly are actually a nuisance, which is not a position that you want to be in.
So, I would suggest that the best way forward is to find out before you exchange contracts whether or not the dogs are going to be an issue for the other flat owner.
Perhaps ask them in person and see if what their opinion is on it. If you consider that they are unlikely to be difficult about the issue then you can take a view on it and probably proceed. If you get the feeling that they are likely to be problematic about them then you will have a more difficult decision about it and whether or not you are willing to purchase with this element of risk.
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It's helpful, but it would not solve the problem.
The other freeholder would still be able to seek an order if they regarded it as a nuisance and you want to be proactive about finding out whether they will or may be a problem before you buy the property.
Please do remember to leave positive feedback..Tom
They would always have to prove in court that they were a nuisance, whether they agreed before you purchase of not..