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