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 Th23:
  for S being weakly_standard IC-Ins-separated non empty
  with_non-empty_values AMI-Struct over N,
   F being NAT-defined (the InstructionsF of S)-valued
 finite Function st F is really-closed & il.(S,0) in dom F holds F is
  para-closed
by AMISTD_1:14;
