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
consider s being State of SCMPDS;
(Exec (((a,k1) := k2),s)) . (IC SCMPDS) = succ (IC s) by Th58;
hence not (a,k1) := k2 is halting by Th76; :: thesis: verum