reserve i, j, k for Element of NAT,
  I for Element of Segm 8,
  i1, i2 for Element of NAT,
  d1, d2, d3, d4 for Element of SCM-Data-Loc,
  S for non empty 1-sorted;
reserve G for non empty 1-sorted;

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