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 s is stabilizing & n >= stabilization-time s 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 s is stabilizing & n >= stabilization-time s holds
Result s = Following s,n
let s be State of A; :: thesis: for n being Element of NAT st s is stabilizing & n >= stabilization-time s holds
Result s = Following s,n
let n be Element of NAT ; :: thesis: ( s is stabilizing & n >= stabilization-time s implies Result s = Following s,n )
assume A1: ( s is stabilizing & n >= stabilization-time s ) ; :: thesis: Result s = Following s,n
then Result s is stable by Def4;
then Following s,(stabilization-time s) is stable by A1, Th2;
then Following s,n is stable by A1, CIRCCMB2:4;
hence Result s = Following s,n by Th4; :: thesis: verum