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 Th10:
  for d being data-only PartState of S holds not IC S in dom d
proof
  let d be data-only PartState of S;
  dom d c= Data-Locations S by Th6;
  hence thesis by STRUCT_0:3;
end;
