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 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;
