let S be non empty non void Circuit-like ManySortedSign ; :: thesis: for A being non-empty Circuit of S
for s being State of A
for n being Element of NAT st Following (s,n) is stable holds
Result s = Following (s,n)

let A be non-empty Circuit of S; :: thesis: for s being State of A
for n being Element of NAT st Following (s,n) is stable holds
Result s = Following (s,n)

let s be State of A; :: thesis: for n being Element of NAT st Following (s,n) is stable holds
Result s = Following (s,n)

let n be Element of NAT ; :: thesis: ( Following (s,n) is stable implies Result s = Following (s,n) )
assume A1: Following (s,n) is stable ; :: thesis: Result s = Following (s,n)
then s is stabilizing ;
hence Result s = Following (s,n) by A1, Def4; :: thesis: verum