reserve x,y,z for set,
  k for Nat;
reserve J,J1,K for Element of Segm 13,
  a for Nat,
  b,b1,b2,c,c1,c2 for Element of SCM+FSA-Data-Loc,
  f,f1,f2 for Element of SCM+FSA-Data*-Loc;

theorem
  for s being SCM+FSA-State, t being Element of SCM+FSA-Data-Loc, u
  being Integer holds SCM+FSA-Chg(s,t,u).t = u
proof
  let s be SCM+FSA-State, t be Element of SCM+FSA-Data-Loc, u be Integer;
  t in dom(t .--> u) by TARSKI:def 1;
  hence SCM+FSA-Chg(s,t,u).t = (t .--> u).t by FUNCT_4:13
    .= u by FUNCOP_1:72;
end;
