let k1, k2 be Integer; :: thesis: for a, b being Int_position holds not SubFrom (a,k1,b,k2) is halting
let a, b be Int_position; :: thesis: not SubFrom (a,k1,b,k2) is halting
set s = the State of SCMPDS;
(Exec ((SubFrom (a,k1,b,k2)), the State of SCMPDS)) . (IC ) = (IC the State of SCMPDS) + 1 by Th47;
hence not SubFrom (a,k1,b,k2) is halting by Th60; :: thesis: verum