theorem Th16: for p being FinSequence st p is Y-valued & p is m-element holds
p in m-tuples_on Y
proof
reconsider mm=m as Element of NAT by ORDINAL1:def 12;
let p be FinSequence; assume p is Y-valued & p is m-element; then
rng p c= Y & len p = mm by  CARD_1:def 7;
hence thesis by FINSEQ_2:132;
end;
