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;
reserve s for State of S;

theorem Th8:
  Data-Locations S c= dom s
proof
  dom s = the carrier of S by PARTFUN1:def 2;
  hence thesis;
end;
