theorem
  for s being State of SCM+FSA, a being Int-Location,
      l being Nat holds
  (s +* Start-At(l,SCM+FSA)).a = s.a
proof
  let s be State of SCM+FSA;
  let a be Int-Location;
  let l be Nat;
  not a in dom Start-At(l,SCM+FSA) by SCMFSA_2:102;
  hence thesis by FUNCT_4:11;
end;
