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 Th36:
  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:88;
  hence thesis by A1,Def2;
end;
