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 by Def1;
hence Result s = Following s,n by A1, Def4; :: thesis: verum