reserve x,y,z for set;
reserve Q for left-distributive right-distributive complete Lattice-like non
  empty QuantaleStr,
  a, b, c, d for Element of Q;
reserve Q for Quantale,
  a,a9,b,b9,c,d,d1,d2,D for Element of Q;
reserve Q for Girard-Quantale,
  a,a1,a2,b,b1,b2,c,d for Element of Q,
  X for set;

theorem
  a delta Bottom Q = a & (Bottom Q) delta a = a
proof
  Bottom a [*] Top Q = Bottom a & Top Q [*] Bottom a = Bottom a by Th32;
  hence thesis by Th22;
end;
