let il be Element of NAT ; for a being Int-Location
for f being FinSeq-Location holds NIC ((f :=<0,...,0> a),il) = {(succ il)}
let a be Int-Location ; for f being FinSeq-Location holds NIC ((f :=<0,...,0> a),il) = {(succ il)}
let f be FinSeq-Location ; NIC ((f :=<0,...,0> a),il) = {(succ il)}
set i = f :=<0,...,0> a;
for s being State of SCM+FSA st IC s = il holds
(Exec ((f :=<0,...,0> a),s)) . (IC SCM+FSA) = succ (IC s)
by SCMFSA_2:101;
hence
NIC ((f :=<0,...,0> a),il) = {(succ il)}
by Lm5; verum