theorem
  for s being SCM+FSA-State, t being Element of SCM+FSA-Data*-Loc, u
  being FinSequence of INT, mk being Element of SCM+FSA-Data*-Loc st mk <> t
  holds SCM+FSA-Chg(s,t,u).mk = s.mk
proof
  let s be SCM+FSA-State, t be Element of SCM+FSA-Data*-Loc, u be FinSequence
  of INT, mk be Element of SCM+FSA-Data*-Loc such that
A1: mk <> t;
  not mk in dom(t .--> u) by A1,TARSKI:def 1;
  hence thesis by FUNCT_4:11;
end;
