theorem Th36:
  (0).W = (0).V
proof
  the carrier of (0).W = {0.W} & the carrier of (0).V = {0.V} by Def3;
  then
A1: the carrier of (0).W = the carrier of (0).V by Def2;
  (0).W is Submodule of V by Th26;
  hence thesis by A1,Th29;
end;
