let S be non empty non void Circuit-like ManySortedSign ; for A being non-empty Circuit of S
for s being State of A
for n being Nat holds Following s,(n + 1) = Following (Following s),n
let A be non-empty Circuit of S; for s being State of A
for n being Nat holds Following s,(n + 1) = Following (Following s),n
let s be State of A; for n being Nat holds Following s,(n + 1) = Following (Following s),n
let n be Nat; Following s,(n + 1) = Following (Following s),n
Following s,(n + 1) = Following (Following s,1),n
by Th13;
hence
Following s,(n + 1) = Following (Following s),n
by Th14; verum