set i = SubFrom (a,k1,b,k2);
for s being State of SCMPDS holds (Exec ((SubFrom (a,k1,b,k2)),s)) . (IC SCMPDS) = succ (IC s) by SCMPDS_2:62;
then Load (SubFrom (a,k1,b,k2)) is parahalting by Lm2;
hence SubFrom (a,k1,b,k2) is parahalting by Def2; :: thesis: verum