set i = AddTo a,k1,k2;
for s being State of SCMPDS holds (Exec (AddTo a,k1,k2),s) . (IC SCMPDS ) = Next (IC s) by SCMPDS_2:60;
then Load (AddTo a,k1,k2) is parahalting by Lm2;
hence AddTo a,k1,k2 is parahalting by Def2; :: thesis: verum