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 Element of NAT st Following (s,n) is stable holds
Result s = Following (s,n)
let A be 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 s be State of A; for n being Element of NAT st Following (s,n) is stable holds
Result s = Following (s,n)
let n be Element of NAT ; ( Following (s,n) is stable implies Result s = Following (s,n) )
assume A1:
Following (s,n) is stable
; Result s = Following (s,n)
then
s is stabilizing
;
hence
Result s = Following (s,n)
by A1, Def4; verum