theorem
 for p,q being PartState of S holds IC S in dom(p +* Initialize q)
proof let p,q be PartState of S;
A1: dom(p +* Initialize q) =  dom p \/ dom Initialize q by FUNCT_4:def 1;
  IC S in dom Initialize q by Th48;
 hence IC S in dom(p +* Initialize q) by A1,XBOOLE_0:def 3;
end;
