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;
reserve p for PartState of S;

theorem Th13:
 dom s = {IC S} \/ Data-Locations S
proof
 dom s = the carrier of S by PARTFUN1:def 2;
 hence thesis by STRUCT_0:4;
end;
