set p = <*1*>;
{1} c= INT by Lm7, TARSKI:def 3;
then rng <*1*> c= INT by FINSEQ_1:39;
then reconsider f = <*1*> as FinSequence of INT by FINSEQ_1:def 4;
take f ; :: thesis: ( not f is empty & f is positive-yielding )
now :: thesis: for r being Real st r in rng f holds
0 < r
let r be Real; :: thesis: ( r in rng f implies 0 < r )
assume r in rng f ; :: thesis: 0 < r
then r in {1} by FINSEQ_1:39;
hence 0 < r by TARSKI:def 1; :: thesis: verum
end;
hence ( not f is empty & f is positive-yielding ) by PARTFUN3:def 1; :: thesis: verum