reserve A for non trivial Nat,
        B,C,n,m,k for Nat,
        e for Nat;

theorem Th5:
  for T be _Theta, lambda, epsilon1,epsilon2 be Real st
     lambda = T * epsilon1 & epsilon1 <= epsilon2 & 0 <= epsilon1
   ex T1 be _Theta st lambda = T1 * epsilon2
proof
  let T be _Theta, lambda, epsilon1,epsilon2 be Real such that
A1: lambda = T * epsilon1 & epsilon1 <= epsilon2 & 0 <= epsilon1;
  |.epsilon1.| = epsilon1 & |.epsilon2.| = epsilon2 by A1,ABSVALUE:def 1;
  hence thesis by Th2,A1;
end;
