reserve x,y,z for set;
reserve I,J,K for Element of Segm 9,
  i,a,a1,a2 for Nat,
  b,b1,b2,c,c1 for Element of SCM-Data-Loc;

theorem
  for s being SCM-State, u,v being natural Number holds SCM-Chg(s,u).v = s.v
proof
  let s be SCM-State, u,v be natural Number;
  not v in dom(NAT .--> u) by TARSKI:def 1;
  hence thesis by FUNCT_4:11;
end;
