let a, b be Data-Location ; for il being Element of NAT holds NIC ((Divide (a,b)),il) = {(succ il)}
let il be Element of NAT ; NIC ((Divide (a,b)),il) = {(succ il)}
set i = Divide (a,b);
for s being State of SCM st IC s = il holds
(Exec ((Divide (a,b)),s)) . (IC SCM) = succ (IC s)
by AMI_3:12;
hence
NIC ((Divide (a,b)),il) = {(succ il)}
by Lm4; verum