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 T being IC-Ins-separated non empty with_non-empty_values AMI-Struct over N
  for i being Instruction of T st JUMP i is non empty holds i is non
  sequential
proof
 let T be IC-Ins-separated non empty with_non-empty_values AMI-Struct over N;
  let i be Instruction of T;
  set X = the set of all NIC(i,l1) where l1 is Nat;
  assume JUMP i is non empty;
  then consider l being object such that
A1: l in JUMP i;
  reconsider l as Nat by A1;
  NIC(i,l) in X;
  then l in NIC(i,l) by A1,SETFAM_1:def 1;
  then consider s being Element of product the_Values_of T
  such that
A2: l = IC Exec(i,s) & IC s = l;
  take s;
  thus thesis by A2;
end;
