
theorem Th5:
  for S being non void Circuit-like non empty ManySortedSign for
  A being non-empty Circuit of S for s being State of A, n being Element of NAT
st s is stabilizing & n >= stabilization-time s holds Result s = Following(s, n
  )
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, n be Element of NAT;
  assume that
A1: s is stabilizing and
A2: n >= stabilization-time s;
  Result s is stable by A1,Def4;
  then Following(s, stabilization-time s) is stable by A1,Th2;
  then Following(s,n) is stable by A2,CIRCCMB2:4;
  hence thesis by Th4;
end;
