theorem Th7: :: CIRCCMB3:7

for S1, S2 being non empty non void Circuit-like ManySortedSign st InputVertices S1 misses InnerVertices S2 & InputVertices S2 misses InnerVertices S1 holds
for S being non empty non void Circuit-like ManySortedSign st S = S1 +* S2 holds
for A1 being non-empty Circuit of S1
for A2 being non-empty Circuit of S2 st A1 tolerates A2 holds
for A being non-empty Circuit of S st A = A1 +* A2 holds
for s being State of A
for s1 being State of A1
for s2 being State of A2 st s1 = s | the carrier of S1 & s2 = s | the carrier of S2 & s1 is stabilizing & s2 is stabilizing holds
s is stabilizing