theorem
  for s being State of SCM+FSA, s9 being State of SCM
   holds s +* s9  is State of SCM+FSA
 proof
  let s be State of SCM+FSA, s9 being State of SCM;
  reconsider s as SCM+FSA-State by CARD_3:107;
  reconsider s9 as SCM-State by CARD_3:107;
  s +* s9 is SCM+FSA-State by SCMFSA_1:18;
  then s +* s9 is State of SCM+FSA;
  hence thesis;
 end;
