let k1, k2 be Integer; :: thesis: for a being Int_position holds not (a,k1) <>0_goto k2 is halting
let a be Int_position ; :: thesis: not (a,k1) <>0_goto k2 is halting
consider s being State of SCMPDS such that
A1: for d being Int_position holds s . d = 0 by Th73;
s . (DataLoc ((s . a),k1)) = 0 by A1;
then (Exec (((a,k1) <>0_goto k2),s)) . (IC ) = succ (IC s) by Th67;
hence not (a,k1) <>0_goto k2 is halting by Th76; :: thesis: verum