let k1, k2 be Integer; :: thesis: for a being Int_position holds not (a,k1) := k2 is halting
let a be Int_position; :: thesis: not (a,k1) := k2 is halting
set s = the State of SCMPDS;
(Exec (((a,k1) := k2), the State of SCMPDS)) . (IC ) = (IC the State of SCMPDS) + 1 by Th43;
hence not (a,k1) := k2 is halting by Th60; :: thesis: verum