A tuple (or n-tuple, for any integer n) is an interpretation of a list of n variables. It is thus a meta-function from a finite meta-set, to the universe. Tuples of a given kind (list of variables with their types) can be added to any theory as a new type of objects, whose variables are meant as abbreviations of packs of n variables (copies of the list with the same old types) x = (x0, · · · , ...