
theorem
  for S1,S2,S being non void Circuit-like non empty ManySortedSign st
  InputVertices S2 c= InputVertices S1 & S = S1+*S2 for A1 being non-empty
  Circuit of S1, A2 being non-empty Circuit of S2 for A being non-empty Circuit
of S st A1 tolerates A2 & A = A1+*A2 for s being State of A, s1 being State of
A1, s2 being State of A2 st s1 = s|the carrier of S1 & s2 = s|the carrier of S2
  holds Following s = (Following s1)+*(Following s2)
proof
  let S1,S2,S be non void Circuit-like non empty ManySortedSign;
  assume InputVertices S2 c= InputVertices S1;
  then InnerVertices S1 misses InputVertices S2 by XBOOLE_1:63,79;
  hence thesis by Th32;
end;
