reserve x for set,
  D for non empty set,
  k, n for Element of NAT,
  z for Nat;
reserve N for with_zero set,
  S for
    IC-Ins-separated non empty with_non-empty_values AMI-Struct over N,
  i for Element of the InstructionsF of S,
  l, l1, l2, l3 for Element of NAT,
  s for State of S;
reserve ss for Element of product the_Values_of S;
reserve T for weakly_standard
 IC-Ins-separated non empty
  with_non-empty_values AMI-Struct over N;

theorem Th22:
  for S being weakly_standard IC-Ins-separated
    non empty with_non-empty_values AMI-Struct over N,
    i being Instruction of S st i is sequential
   holds i is non halting
proof
  let S be weakly_standard IC-Ins-separated
    non empty
  with_non-empty_values AMI-Struct over N, i be Instruction of S such that
A1: i is sequential;
  set s = the State of S;
  NIC(i,IC s) = {NextLoc(IC s,S)} by A1,Th21;
  then NIC(i,IC s) <> {IC s} by Th15,ZFMISC_1:3;
  hence thesis by AMISTD_1:2;
end;
