Here is a quote from a book:
But he would have no way of knowing if the answer he received were true.
Why is there were instead of was in the above sentence? The only answer that comes to my mind is that this is a subjunctive.
The topic of the subjunctive was covered in the following question very well: Why is it 'come' and not 'comes' in 'it is important that he come...'?
However, my sentence doesn't belong to any of the four categories mentioned by M.A.R. in his answer to this question, so I don't think this the subjunctive. Then what is it?
I get that this is an imaginary situation (would have no way) and the second conditional. But this is all I can think of.