reserve X for BCI-algebra;
reserve x,y,z,u,a,b for Element of X;
reserve IT for non empty Subset of X;

theorem Th35:
  for x being Element of X holds ex a being Element of AtomSet(X) st a<=x
proof
  let x be Element of X;
  take a=x``;
  a\x=0.X by Th1;
  hence thesis by Th34;
end;
