reserve x,a for Int_position,
  s for State of SCMPDS;
reserve P,Q for Instruction-Sequence of SCMPDS;

theorem
  for s being 0-started State of SCMPDS,I being Program of SCMPDS,a being
Int_position, i being Integer st s.DataLoc(s.a,i) >= 0
 holds IC IExec(while<0(a,i,I),P,s) = card I + 2
proof
  let s be 0-started State of SCMPDS,I be Program of SCMPDS,
      a be Int_position, i be Integer;
  assume s.DataLoc(s.a,i) >= 0;
  then IExec(while<0(a,i,I),P,s) =s +* Start-At((card I+2),SCMPDS)
   by Th8;
  hence thesis by FUNCT_4:113;
end;
