let a be Int_position; for l being Element of NAT
for k1 being Integer holds NIC ((saveIC (a,k1)),l) = {(l + 1)}
let l be Element of NAT ; for k1 being Integer holds NIC ((saveIC (a,k1)),l) = {(l + 1)}
let k1 be Integer; NIC ((saveIC (a,k1)),l) = {(l + 1)}
set i = saveIC (a,k1);
for s being State of SCMPDS st IC s = l holds
(Exec ((saveIC (a,k1)),s)) . (IC ) = (IC s) + 1
by SCMPDS_2:59;
hence
NIC ((saveIC (a,k1)),l) = {(l + 1)}
by Th1; verum