reserve x for set;
reserve a, b, c, d, e for Real;
reserve m, n, m1, m2 for Nat;
reserve k, l for Integer;
reserve p for Rational;

theorem Th44:
  a>0 implies a to_power p = a #Q p
proof
  assume
A1: a>0;
  hence a to_power p = a #R p by Def2
    .= a #Q p by A1,PREPOWER:74;
end;
