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MiniZinc

predicate fzn_roots_reif(array[int] of var int: x, var set of int: s,
var set of int: t, var bool: b) =
b <-> (
% All values in 's' must map to a value in 't'.
forall(i in ub(s)) (
i in s -> x[i] in t
) /\
forall(i in ub(t)) (
i in t -> forall(j in index_set(x)) (x[j] = i -> j in s )
)
);