Is hydroxyproline an amino acid? (Classification question)
The other commenter answered correctly that proline is an imminoacid, not an amminoacid. But in biochemistry it is referred to as amminoacid since it basically works like every other amminoacid in any polypeptyde.


  how much can you change an amino acid and still call it an amino acid?


Have a look at:


Selenocysteine
Ornitine


As you can see there are some weird modifications of amminoacids in biology. Just like proline/hydroxyproline any amminoacid can be very well modified and be used in proteinogenesis or non-proteinogenesis. Every modification of an amminoacid is allowed, and it will still be considered an amminoacid, even if it doesn't make up a protein. The only parts which can't be changed are the COO- and NH3+ groups, obviosuly, since they give the name of the molecule: "ammino" means that it has a NH group and "acid" means it has a COO- group.