for S1, S2, S being non empty non void Circuit-like ManySortedSign st S = S1 +* S2 & S1 tolerates S2 holds
for A1 being non-empty Circuit of S1
for A2 being non-empty Circuit of S2
for A being non-empty Circuit of S
for s being State of A
for s1 being State of A1 st s1 = s | the carrier of S1 holds
for g being Gate of S
for g1 being Gate of S1 st g = g1 holds
g depends_on_in s = g1 depends_on_in s1