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