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 Th35:
  a > 1 & b > 0 implies a to_power b > 1
proof
  assume that
A1: a > 1 and
A2: b > 0;
 a #R b > 1 by A1,A2,PREPOWER:86;
  hence thesis by A1,Def2;
end;
