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 = 1 by Th57;
s . (DataLoc ((s . a),k1)) = 1 by A1;
then (Exec (((a,k1) <=0_goto k2),s)) . (IC ) = (IC s) + 1 by Th53;
hence not (a,k1) <=0_goto k2 is halting by Th60; :: thesis: verum