
theorem Th6:
  RLSStruct (# the_set_of_l2RealSequences,
  Zero_(the_set_of_l2RealSequences,Linear_Space_of_RealSequences),
  Add_(the_set_of_l2RealSequences,Linear_Space_of_RealSequences),
  Mult_(the_set_of_l2RealSequences,Linear_Space_of_RealSequences) #)
  is RealLinearSpace by Th4;
