set i = (a,k1) := k2;
for s being State of SCMPDS holds (Exec (((a,k1) := k2),s)) . (IC SCMPDS) = succ (IC s) by SCMPDS_2:58;
then Load ((a,k1) := k2) is parahalting by Lm2;
hence (a,k1) := k2 is parahalting by Def2; :: thesis: verum