theorem Th14:
 for J being really-closed Program of SCM+FSA holds
  J is parahalting or J is_halting_on Exec(i, Initialized s),p
 implies IExec(i ";" J,p,s).f = IExec(J,p,Exec(i,Initialized s)).f
proof let J be really-closed Program of SCM+FSA;
  set Mi = Macro i;
A1:   IExec(Mi,p,s) =  Exec(i,Initialized s) by SCMFSA6C:5;
  assume J is parahalting or J is_halting_on Exec(i, Initialized s),p;
  then
A2: J is_halting_on Exec(i, Initialized s),p
by SCMFSA7B:19;
   J is_halting_on IExec(Mi,p,s),p by A2,A1;
  hence IExec(i ";" J,p,s).f = IExec(J,p,IExec(Mi,p,s)).f by Th7
    .= ( IExec(J,p,IExec(Mi,p,s))).f
    .= ( IExec(J,p,Exec(i,Initialized s))).f by A1
    .= IExec(J,p,Exec(i,Initialized s)).f;
end;
