theorem Th32:
  a [*] Top Q = a & Top Q [*] a = a
proof
  the absurd of Q is dualizing by Def20;
  then
A1: Top Q = the_unity_wrt times(Q) by Th19;
  times(Q) is having_a_unity by MONOID_0:def 10;
  hence thesis by A1,SETWISEO:15;
end;
