include "count.mzn";

predicate fzn_global_cardinality(array[int] of var int: x,
	  		     array[int] of int: cover,
                             array[int] of var int: counts) =
    forall(i in index_set(cover))( count(x, cover[i], counts[i]) )
    /\
    % Implied constraint
    length(x) >= sum(counts);