theorem :: CIRCCMB2:23

for S1, S2, S being non empty non void Circuit-like ManySortedSign st InputVertices S1 misses InnerVertices S2 & InputVertices S2 misses InnerVertices S1 & S = S1 +* 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 st A1 tolerates A2 & A = A1 +* A2 holds
for n being Nat
for s being State of A
for s1 being State of A1 st s1 = s | the carrier of S1 holds
for s2 being State of A2 st s2 = s | the carrier of S2 & ( not Following (s1,n) is stable or not Following (s2,n) is stable ) holds
not Following (s,n) is stable