What is the name of this tune?

I would like to express that the iterator is const (i.e. you cannot increase or decrease it), but what it gives is not a constant:

iterator const it = foo.begin();
it++; // error
*it = ...; // not an error

If iteratoris a pointer, I can say:

pointer // iterator

pointee // what it gives

But if it's not a pointer, I'm not sure. I was thinking of using a container"pointee" as a replacement, but the iterator is not bound to the container at all. For example, an input iterator may be bound to a file or to STDIN. Is the following work used and used by others?

iterator // iterator

iteratoo // what it gives

I am happy for any guidance!