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 Th30:
  Start-At(IC s,S) c= s
 proof
   Start-At(IC s,S) = s | {IC S} by Th18;
  hence thesis by RELAT_1:59;
 end;
