reserve X for non empty CUNITSTR;
reserve a, b for Complex;
reserve x, y for Point of X;
reserve X for ComplexUnitarySpace;
reserve x, y, z, u, v for Point of X;

theorem Th25:
  x.|.0.X = 0
proof
  x.|.0.X = ((0.X).|.x)*' by Def11
    .= 0c by Th24,COMPLEX1:28;
  hence thesis;
end;
