reserve x for set,
  k for Element of NAT;
reserve s for State of SCMPDS;
reserve d1,d2,d3,d4,d5 for Element of SCM-Data-Loc,
  k1,k2,k3,k4,k5,k6 for Integer;
reserve I for Instruction of SCMPDS;
reserve a,b,c for Int_position;

theorem Th59:
  for I being Instruction of SCMPDS st I = [0,{},{}]
  holds I is halting
proof
  let I be Instruction of SCMPDS;
  assume I = [0,{},{}];
   then
A1: InsCode I = 0;
  let s be State of SCMPDS;
  thus Exec(I,s) = s by A1,Lm11;
end;
