let il be Element of NAT ; :: thesis: for b, a being Int-Location
for f being FinSeq-Location holds NIC (((f,b) := a),il) = {(succ il)}

let b, a be Int-Location ; :: thesis: for f being FinSeq-Location holds NIC (((f,b) := a),il) = {(succ il)}
let f be FinSeq-Location ; :: thesis: NIC (((f,b) := a),il) = {(succ il)}
set i = (f,b) := a;
for s being State of SCM+FSA st IC s = il holds
(Exec (((f,b) := a),s)) . (IC SCM+FSA) = succ (IC s) by SCMFSA_2:99;
hence NIC (((f,b) := a),il) = {(succ il)} by Lm5; :: thesis: verum