let k1, k2 be Integer; for a being Int_position holds not AddTo (a,k1,k2) is halting
let a be Int_position; not AddTo (a,k1,k2) is halting
set s = the State of SCMPDS;
(Exec ((AddTo (a,k1,k2)), the State of SCMPDS)) . (IC ) = succ (IC the State of SCMPDS)
by Th48;
hence
not AddTo (a,k1,k2) is halting
by Th64; verum