go to this link to get a better understanding:

http://en.wikipedia.org/wiki/Prime_Minister_of_Spain

For convenience, I quote the very first sentence here:

The President of the Government of Spain,^[1] (Spanish: Presidente del Gobierno),^[2] formally known by English-speaking nations and formally translated by the European Commission Directorate-General in English as Prime Minister^[1] is the head of Government of Spain.

In other words, it's formally recognized by the European Commission Directorate-General in English as Prime Minister.  But I don't see how your raising this subject has anything to do with the issue of what government is comprised of, which we're discussing here.