
theorem
  for S being non void Circuit-like non empty ManySortedSign for A
  being non-empty Circuit of S for s being State of A st s is stabilizing for x
  being set st x in InputVertices S holds (Result s).x = s.x
proof
  let S be non void Circuit-like non empty ManySortedSign;
  let A be non-empty Circuit of S;
  let s be State of A;
  assume s is stabilizing;
  then Result s = Following(s,stabilization-time s) by Th2;
  hence thesis by Th1;
end;
