reserve x for set;
reserve a, b, c for Real;
reserve m, n, m1, m2 for Nat;
reserve k, l for Integer;
reserve p, q for Rational;
reserve s1, s2 for Real_Sequence;

theorem Th52:
  a>0 implies a #Q p > 0
proof
  assume a>0;
  then
A1: a #Z numerator(p) > 0 by Th39;
  denominator(p) >= 1 by RAT_1:11;
  hence thesis by A1,Def2;
end;
