reserve x for set,
  D for non empty set,
  k, n for 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 Nat,
  s for State of S;
reserve ss for Element of product the_Values_of S;
reserve T for standard IC-Ins-separated non empty
     with_non-empty_values AMI-Struct over N;

theorem
  for N being with_zero set, S
being IC-Ins-separated non empty with_non-empty_values AMI-Struct over N,
 i being Instruction of S, l being Nat
 holds JUMP(i) c= NIC(i,l)
proof
  let N be with_zero set,
  S be IC-Ins-separated non
  empty with_non-empty_values AMI-Struct over N, i be Instruction of S, l be
  Nat;
  set X = the set of all  NIC(i,k) where k is Nat;
  let x be object;
A1: NIC(i,l) in X;
  assume x in JUMP(i);
  hence thesis by A1,SETFAM_1:def 1;
end;
