reserve x,N for set,
        k for Nat;
reserve N for with_zero set;
reserve S for IC-Ins-separated non empty with_non-empty_values
     Mem-Struct over N;

theorem
  for N for S being Mem-Struct over N for p being
  PartState of S holds {IC S} misses dom DataPart p by Th3,ZFMISC_1:50;
