reserve k, m for Nat,
  x, x1, x2, x3, y, y1, y2, y3, X,Y,Z for set,
  N for with_zero set;

theorem Th4:
  for S being IC-Ins-separated non empty with_non-empty_values
  AMI-Struct over N,
  I being Instruction of S st I is halting holds JUMP I is empty
proof

  let S be IC-Ins-separated
  non empty with_non-empty_values AMI-Struct over N, I be Instruction of S;
  assume I is halting;
  then for l being Nat holds NIC(I,l)={l} by AMISTD_1:2;
  hence thesis by AMISTD_1:1;
end;
