theorem Th8:
 for s being 0-started State of SCMPDS
 for I being parahalting Program of SCMPDS, J being Program of SCMPDS
   st stop I c= P
 for m st m <= LifeSpan(P,s)
 holds  Comput(P,s,m) =  Comput(P+*stop(I ';' J), s,m)
proof
  let s be 0-started State of SCMPDS;
  let I be parahalting Program of SCMPDS, J be Program of SCMPDS;
  assume
A1: stop I c= P;
  set sIJ=stop (I ';' J), SS=Stop SCMPDS;
  let m;
  assume
A2: m <= LifeSpan(P,s);
  P +* sIJ = P +* (I ';' (J ';' SS)) by AFINSQ_1:27;
  hence thesis by A1,A2,Th7;
end;
