set i = AddTo (a,k1,k2);
for s being State of SCMPDS holds (Exec ((AddTo (a,k1,k2)),s)) . (IC ) = succ (IC s) by SCMPDS_2:48;
then Load (AddTo (a,k1,k2)) is parahalting by Lm3;
hence AddTo (a,k1,k2) is parahalting by Def2; :: thesis: verum